Let f(x) = 2x-1 and g(x) = x2 - 1. Find (f o g)(-7).

Answers

Answer 1

Answer: (f o g)(-7) = 95

Step by step solution:

We have the two functions:

[tex]\begin{gathered} f(x)=2x-1 \\ g(x)=x^2-1 \end{gathered}[/tex]

We need to find (f o g)(-7) or f(g(-7)), first we evaluate g(-7):

[tex](f\circ g)(-7)=f(g(-7))[/tex][tex]g(-7)=-7^2-1=49-1=48[/tex]

Now we evaluate f(48):

[tex]f(48)=2\cdot48-1=96-1=95[/tex]


Related Questions

About how many points did the four students score in round 1. Estimate by rounding each point total to the nearest whole number

Answers

The total points that the four students score in round 1 is 75 points.

How to calculate the value?

Based on the information given, it's important to convert the numbers to while numbers and then add.

John has 19.5. This will be 20.

Adam had 21.2. This will be 21.

Peter has 23.8. This will be 24.

Grace has 10.2. This will be 10.

The total points will be:

= 20 + 21 + 24 + 10

= 75

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The points of four students are:

John 19.5

Adam 21.2

Peter 23.8

Grace 10.2

About how many points did the four students score in round 1. Estimate by rounding each point total to the nearest whole number

Using the image, identify the opposite rays (choose all that apply).

Answers

Solution

The answer is

A runner has a track lap time of 3 minutes while at a run, 5 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog, and 1/10 at a walk, what is the total track lap time of the runner? Write the solution as a mixed number or a fraction in lowest terms.

Answers

The total track lap time of the runner is 4 11/15 and it has been written as a mixed number or a fraction in lowest terms.

Mixed fraction:

The fraction represented with its quotient and remainder is known as mixed fraction.

Given,

A runner has a track lap time of 3 minutes while at a run, 5 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog, and 1/10 at a walk.

Here we need to find the total track lap time of the runner.

Here we can compute the Total Lap Time by multiplying each fraction by its associated lap time, then we get,

   Run Lap Time = (2/5)(3) = 6/5 minutes

   Jog Lap Time = (1/3)(5) = 5/3 minutes

   Walk Lap Time = (4/15)(7) = 28/15 minutes

So, the total lap time is, written as,

   Total Lap Time = 6/5 + 5/3 + 28/15

Now, we have to make the fraction equal to each other,

=> (6x3)/(5x3) + (5x5)/(3x5) + (28 x 1)(15 x1)

=> 18/15 + 25/15 + 28/15  

=> (18 + 25 + 28)/15 = 71/15

Now, we have to convert this into mixed fraction then we get,

=> 71/15 = 4 11/15

Therefore, the total Lap Time is 4 11/15 minutes.

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A parabola opening up or
equation in vertex form.
down has vertex (-1, 4) and passes through (-2, 17). Write its equation in vertex form.

Answers

Equation of parabola in vertex form is 13x² + 26x + 17

Define Parabola

A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile traveling under the pull of gravity will travel along a curve similar to this one.

Given,

vertex (h,k) = (-1, 4)

points (x,y) = (-2, 17)

We know, The equation in vertex form is

y = a(x - h)² + k

put the (h,k) values,

y = a(x - (-1))² + 4

y = a(x + 1)² + 4                     --------- eq(i)

Next, find the value of 'a' by plug in the points of (x, y) in eq(i)

y = a(x + 1)² + 4

⇒17 = a(-2 + 1)² + 4

⇒17 = a(-1)² + 4

⇒17 = a + 4

a = 13

Now, substitute 'a' value in eq(i) to find the equation of parabola

y = a(x + 1)² + 4

⇒ y = 13(x + 1)² + 4

⇒ y = 13(x² + 1 +  2x) + 4

⇒ y = 13x² + 13 + 26x + 4

y = 13x² + 26x + 17

Therefore, equation of parabola in vertex form is 13x² + 26x + 17

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Domain and range from the graph of a piecewise function

Answers

The domain of the given function is:

[tex]\text{Domain}=\lbrack-3,-2\rbrack\cup\lbrack-1,5)[/tex]

Because the domain corresponds to the set of all possible inputs, x-axis.

The range of this function is:

[tex]\text{Range}=\lbrack-5,3\rbrack[/tex]

Because the range corresponds to the set of all possible outputs, y-axis.

find the value of expression if d = 10 and c= 5, 5d + c + 2

Answers

[tex]\begin{gathered} d=10 \\ c=5 \\ \text{ find } \\ 5d\div c+2 \\ 5(10)\div5+2 \\ \text{ using pemdas princ}iple \\ 50\div5+2 \\ \frac{50}{5}+2=10+2=12 \end{gathered}[/tex]

what is the final cost of the purchase at discount heaven?

Answers

First, let's sum the single costs of each item.

[tex]32+32+20=84[/tex]

Because they are buying 1 jacket, 2 pairs of jeans, and 1 vest. So, the subtotal of these items is $84. (At Discount Heaven)

Then, we apply a 7% sales tax.

[tex]84+0.07\cdot84=84+5.88=89.88[/tex]

As you can observe, the sales tax is $5.88 for all the items purchased, and the total cost they have to pay is $89.88.

Jocelyn graphs a linear function that passes through three distinct points: A, B, and C. The coordinates ofpoint A (-3, -3) and point C (3,5) are shown.What are the possible coordinates of point B for Jocelyn’s linear function?

Answers

(0,1) is a possible coordinite through the points (-3,-3), (3,5)

im confused on what 43/25 as a percent would be

Answers

1------------------------------------>100%

43/25----------------------------->x%

So, using cross multiplication:

[tex]\begin{gathered} \frac{1}{\frac{43}{25}}=\frac{100}{x} \\ \text{solve for x:} \\ x=100\times(\frac{43}{25}) \\ x=172 \end{gathered}[/tex]

What is the probability that a randomly selected oar was purchased in the 2010s given that the oar was made from ash wood?Simplify any fractions

Answers

P (A) = probability of a car purchased in 2010's

P (B) = probability of the car being made from ash wood

P (A and B) = 4

P (B) = 4 +3 = 7

Conditional probability:

P (B/A) = P (A and B ) / P (B) = 4 / 7 = 0.5714

Find the trigonometric ratio using the diagram. Write the fraction in itssimplest form.

Answers

Answer

KM = 30 units

Tan M = (8/15)

Explanation

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

a = KM = ?

b = KL = 16

hyp = LM = 34

a² + b² = (hyp)²

KM² + 16² = 34²

KM² + 256 = 1,156

KM² = 1,156 - 256

KM² = 900

Take the square root of both sides

√(KM²) = √(900)

KM = 30 units

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

Using M as the given non-right angle,

Hypotenuse = LM = 34

Opposite = KL = 16

Adjacent = KM = 30

Using trignometric identities, we know that TOA means

Tan M = (Opp/Adj)

Tan M = (16/30)

Divide numerator and denominator by 2

Tan M = (16/30) = (8/15)

Hope this Helps!!!

x equals 6 y equals 1 y = x + ?

Answers

The given information is

Calculate the five-number summary and the IQR from the following values given: {17, 20, 21, 25, 25, 29, 40}

Answers

Answer:

• 17, 20, 25, 29 and 40

,

• IQR=9

Explanation:

(a)Given the set of values:

{17, 20, 21, 25, 25, 29, 40}​

• The minimum value = 17

The first quartile

The first quartile is the median of the lower half of the data set.

The lower half of the data set = 17, 20, 21

• Therefore, the first quartile =20

The Median

The median is the number in the middle of the set of values.

The number in the middle is 25, therefore:

• Median = 25

The third quartile

The third quartile is the median of the upper half of the data set.

The upper half of the data set = 25, 29, 40

• Therefore, the third quartile =29

Finally, Maximum Value = 40.

The five-number summary of the set of values is: 17, 20, 25, 29 and 40

(b)Interquartile Range

Interquartile Range = Third Quartile - First Quartile

=29 - 20

IQR=9

Professor Ivy’s students have a Mean grade of 69.5 and a Standard Deviation of 6.5.3. If Johnny has an 82 in the class, what would the z-score for Johnny’s grade be? (round to the tenthsplace)4. What percentile does Johnny’s score put him in? (round to the nearest whole number)

Answers

Given:

Mean,ц = 69.5

Standard deviation, σ = 6.5

Let's solve for the following:

• 3. If Johnny has an 82 in the class, what would the z-score for Johnny’s grade be?

Apply the z-score formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where:

x = 82

ц = 69.5

σ = 6.5

Thus, we have:

[tex]\begin{gathered} z=\frac{82-69.5}{6.5} \\ \\ z=\frac{12.5}{6.5} \\ \\ x=1.9 \end{gathered}[/tex]

Therefore, the z-score is 1.9

Question 4.

Here, we are to find P(Z<1.9).

Using the standard normal distribution table, we have:

NORMSDIST(1.9) = 0.9712

Now convert to percentage:

0.9712 x 100 = 97.12% = 97%

ANSWER:

3). 1.9

4.) 97%

What are inequality? When do we use inequalities?What type of inequalities are there? Which symbols are used for each type?Are the following expressions variable inequalities? Why?a. 13z=27b. x<0c 3x+5x>11d. y+5≤11e. 7-1>- 32

Answers

Inequalities are expressions that refer to non-equivalent quantities. Inequalities can express less than, more than, less than or equal to, more than or equal to.

The type of inequalities and symbols are:

[tex]<,>,\leq,\ge[/tex]

So, there are four types of inequalities, for example:

[tex]\begin{gathered} x<2 \\ x>2 \\ x\leq2 \\ x\ge2 \end{gathered}[/tex]

Each inequality is different from the other, this means that the symbol used represents a type of inequality.

At last, among the choices, the inequalities are

[tex]\begin{gathered} x<0 \\ 3x+5x>11 \\ y+5\leq11 \\ 7-1>-32 \end{gathered}[/tex]

However, variable inequalities mean that the inequalities must have a variable in it. So, they are:

[tex]\begin{gathered} x<0 \\ 3x+5x>11 \\ y+5\leq11 \end{gathered}[/tex]

Therefore, the variable inequalities are b, c, and d.

The population of the state of Colorado was about 5,846,000 people in 2020.
Which number best approximates the population as a single digit times a
power of 10?
OA. 6x 10-6
OB. 6 x 106
C. 5 × 105
D. 5 x 106

Answers

The answer is B. 6 x 10^6

Answer:  [tex]6 \times 10^6[/tex] which is choice B

==========================================

Method 1

5,846,000 rounds to 6,000,000 aka "6 million".

This converts to the scientific notation [tex]6 \times 10^6[/tex]

The first 6 is from "6 million", while the 6 as the exponent tells us to move the decimal point that many places to the right to go from 6.0 to 6,000,000

---------------

Method 2

Place a decimal point between the first two digits of 5,846,000 and erase the zeros at the end.

So we get 5.846

We must move the decimal point 6 spaces to the right to go from 5.846 back to 5,846,000 again

Therefore, [tex]5,846,000 = 5.846 \times 10^6[/tex]

Then the 5.846 rounds to 6.0 or simply 6 when rounding to the nearest whole number. This leads to [tex]6 \times 10^6[/tex]

Kara's original financial plan required that she save $220 amonth for two years in order to have $5,280 for the downpayment on a car. However, after one year she has onlymanaged to save $2,300. How much will Kara have to save each month in the second year in order to reach her original goal of $5,280?

Answers

given data:

the amount needed to pay the downpayment of the car = $5280.

original financial plan = $220 per month.

The amount kara saved after 1 year = $2300.

the balance amount she needed to save

[tex]\begin{gathered} =5280-2300 \\ =2980 \end{gathered}[/tex]

now, divide the balance amount by 12, because 1 year =12 months.

[tex]\begin{gathered} =\frac{2980}{12} \\ =248.3 \end{gathered}[/tex]

Thus, kara needs to save 248 dollors each month in order to have 5280 dollors after a year.

Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?

Answers

Answer:

There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.

Step-by-step explanation:

draw a right triangle with a leg that as a length of 10 and the angle opposite to that side is 55 degrees. find the length of the hypotenuse. round your answer to nearest tenth.

Answers

Question:

Draw a right triangle with a leg that has a length of 10 and the angle opposite to that side is 55 degrees. find the length of the hypotenuse. round your answer to the nearest tenth.​

Solution:

A right triangle with a leg that has a length of 10 and the angle opposite to that side is 55 degrees is given by the following picture:

In this case, the appropriate trigonometric identity is:

[tex]\sin (55^{\circ})\text{ = }\frac{y}{h}[/tex]

where y is the opposite side, and h is the hypotenuse. Now, replacing the given data in the previous equation we obtain:

[tex]\sin (55^{\circ})\text{ = }\frac{10}{h}[/tex]

and solving for h, we get:

[tex]h\text{ = }\frac{10}{\sin (55^{\circ})}\text{ = 12.207}\approx12.21[/tex]

then, the correct answer is:

[tex]h\text{ =}12.21[/tex]

If A is the image of A(3, 4) after a dilation with scale factor 7 about the origin, what is the distance between A and A? Hint: Use the distance formula: d = √√(x₂ − x₂)² + (Y₂ − 3₂)² .

0 7 units
○28 units
O 30 units
O 35 units​

Answers

Answer:

Step-by-step explanation:

you can view this,its similar just the numbers are switched.

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Answer:

35

Step-by-step explanation:

sorry if im wrong sorry

Find the volume of the cone. Round to the nearest tenth.27 m-45°O 10,306,0 m320,612.0 m341,224.0 m3763.4 m3

Answers

The volume of a cone is given by the formula:

[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times r^2\times h \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}[/tex]

From the question, we are provided with following:

[tex]\begin{gathered} h=27m \\ \theta=45^0 \end{gathered}[/tex]

We have to use the given parameters to obtain the radius of the cone.

Thus, we have:

[tex]\begin{gathered} \text{Tan 45}^0=\frac{opposite}{\text{adjacent}} \\ 1=\frac{27}{\text{radius}} \\ \text{Therefore, radius=27m} \end{gathered}[/tex]

Therefore, the volume of the cone is:

[tex]\begin{gathered} V=\frac{1}{3}\times\frac{22}{7}\times27^2\times27 \\ V=20,611.98m^3 \end{gathered}[/tex]

Hence, the correct option is option BH

Question 19 of 25 Which of these is a factor in this expression? 6z^4 - 4+9 (y² +9) O A. (y +9 O B. 624 - 4 OC. 9 (y +9 OD. -4+9 (y +9)

Answers

1) In this expression, we have already a factored form. So the factor in this expression is 9(y³+9) Because multiplying "distributing it" we'll have the whole expression

6z^4 -4+9(y³+9)

6z^4 -4 +9y³+81

2) 9(y³+9)

You are clinic manager. You must schedule the equivalent of 1 1/2 nurses for each doctor on a shift, The friday day shift has 6 doctors scheduled How many nurses you will you need to schedule?

Answers

Data Given:

Nurses = 1 1/2 of each doctor

This can be interpreted as

[tex]\begin{gathered} 1\frac{1}{2}\text{ = }\frac{3}{2} \\ \\ 1\text{ Doctor requires }\frac{3}{2}\text{ times nurses} \end{gathered}[/tex]

If there are 6 doctors in the day shift, then there will be

[tex]\frac{3}{2}\text{ x 6 nurs}es[/tex]

=>

[tex]\begin{gathered} \frac{3\text{ x 6}}{2} \\ \\ =\text{ 3 x 3 } \\ \\ =\text{ 9 nurses} \end{gathered}[/tex]

This means that I will have to schedule 9 nurses for the day shift on Friday

What is the midpoint of the line segment graphed below?10(5,9)(2-1)-1010- 10O A. (7,8)OB.OC (34)OD (710

Answers

ANSWER:

[tex](\frac{7}{2},4)[/tex]

STEP-BY-STEP EXPLANATION:

To calculate the value of the midpoint, we use the formula of the midpoint which is the following:

[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Replacing and solving the midpoint:

[tex]\begin{gathered} (x_m,y_m)=(\frac{5+2_{}}{2},\frac{9-1_{}}{2}) \\ (x_m,y_m)=(\frac{7_{}}{2},\frac{8_{}}{2})=(\frac{7}{2},4) \end{gathered}[/tex]

In a certain​ chemical, the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 528 grams of copper. How many grams of zinc does it contain.

Answers

If the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 528 grams of copper. Then 192 grams of zinc does it contain

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

In a certain​ chemical, the ratio of zinc to copper is 4 to 11.

i.e 4:11 or 4 /11

If A jar of the chemical contains 528 grams of copper

We need to find how many grams of zinc does it contain.

Let us consider it as x.

Form a equation,

4/11=x/528

4×528=11x

2112=11x

Divide both sides by 11

192=x

Hence 192 grams of zinc does it contain.

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A 39 -ft ladder leans against a building so that the angle between the ground and the ladder is 85∘

How high does the ladder reach the building? __________ ft

Answers

The height of the building is 38.85 ft.

Given;

length of the ladder, x = 39 ft

the angle between the ground and the ladder, θ = 85°

let the height of the building be h.

Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.

Apply the following trig ratio to determine the height of the triangle;

sin(θ) = opposite/hypotenuse

sin(85°) = h/39

h = 39sin(85°)

h = 38.85 ft

Therefore, the height of the building is 38.85 ft (approx.).

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answer step by step please suppose AC is congruent with AD. what information would you need to conclude that ADB is congruent with ACE using ASA theorem?

Answers

Answer:

Angle ABD must be congruent to Angle AEC.

Explanation:

Angle: Triangles ADB and ACE share angle A in common.

Side: AD is congruent to AC.

For Triangles ADB and ACE to be congruent by the ASA Congruence Theorem, then the following must hold:

Angle: Angle ABD must be congruent to Angle AEC.

A rock has a mass of 14 g and a volume of 2 cm3. What is the density of the rock? *

Answers

We will determine the density of the rock as follows:

[tex]\rho=\frac{14g}{2cm^3}\Rightarrow\rho=7g/cm^3[/tex]

So, the density of the rock is 7 g/cm^3.

the water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter
What is the rate of increase in water pressure in atm/km

Answers

The rate of increase in water pressure in atm/km = 992 atm/km

what is pressure?

Pressure can be defined as the external or internal force that acts on an area of an object which can be measured in atmosphere per meter.

The rate at which Mustafa dives = 0.992atm/meter.

That is,

0.992 atm = 1 meter

X atm = 1 km

But 1000m = 1 km

make X atm the subject of formula;

x atm = 0.992 × 1000

X atm = 992 atm/km

Therefore, the rate in atm/ km would be = 992 atm/km

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eln(x-3) = 9what are the steps to solve? I am so confused, what is ln even??

Answers

[tex]e^{In(x-3)}=9^{}[/tex][tex]Ine^{In(x-3)}=In\text{ 9}[/tex][tex]In(x-3)=In\text{ 9}[/tex][tex]\begin{gathered} x-3=9 \\ x=9+3 \\ x=12 \end{gathered}[/tex]

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Explore the article below and find three landscapes. In the space below, list three of them and answer the questions below for each: 4. multiple choice: as the sample size n increases, the distribution of sample means: a. becomes narrower b. remains constant c. becomes wider 5. multiple choice: according to the central limit theorem, the mean of the sample means is: a. less than the population mean b. the same as the population mean c. more than the population mean 6. multiple choice: according to the central limit theorem, the standard deviation of the sample means is: a. less than the population standard deviation b. the same as the population standard deviation c. more than the population standard deviation y - y1 = m (x - x1 ) write an equation in point slope form given point ( 4, -3 ) and m = 1 PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!Which box-and-whisker plot matches the data?5, 8, 4, 2, 5, 9, 7, 12, 4, 3 A. A box and whisker plot is shown above a number line that extends from 0 to 20 with 1 unit markings. The box extends from 4 to 8, with the median at 6. There is also a point marked at six. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12. B. A box and whisker plot is shown above a number line that extends from 0 to 20 with 2-unit markings. The box extends from 4 to 8, with the median at 7. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12. C. A box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 2 to 12, with the median at 5. There are points marked at 2, 5, and 12. D. A box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 4 to 8, with the median at 5. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12. My friend sandy bought 3 pair of jeans and 7 shirts for $60. my friend dan bought 2 pair of jeans and 3 shirts for $30. what are the prices for jeans and shirts? if a figure has four corners then it is a quadrilateral and figure has four corners therefore it is a quadrilateral which statement illustrate this to be true the large attachment account example the law of syllogism the law contrapositive Use the graph of f to describe the transformation that results in the graph of g. Then sketch the graphs of g and f. In PQR, p=13 inches, q=18 inches and r= 12 inches. Find the area of PQR to the nearest square inch. EB.AACB = ADCE. AB = 8 and AC = 6DE = [?] Q1.Table 1 shows information about some food components in cows milk.Table 1 Recommended Daily Allowance (RDA) for a typical adult Energy in kJ 1046 8700 Fat in g 8.4 70.0 Salt in g 0.5 6.0 Calcium in mg 605 1000 Vitamin B-12 in g 4.5 2.4(a) How much more milk would a typical adult have to drink to get their RDA for calcium compared with the amount of milk needed to get their RDA for vitamin B-12?Please show workings Solve y^3= 125. y = 5 y = 5 y = 25 y = 25 I extracted DNA from strawberry. I had to answer: - Why did the DNA separate to the top after adding the isopropyl alcohol? - Does all of your food have DNA? Explain your reasoning. - Why is it important for scientists to be able to extract DNA? Provide two examples. Find the length of the legs of a night triangle whose hypotenuse is 25cm and whose area is 84cm use phytagorean theorem. Express 1.27times 10^3 in decimal notation What is the range of the following numbers? 12, 20, 18, 25.6 OA. 5 O B. 167/ O C. 18 O D. 19 E. 25 welfare concerns of gestation stalls for sows include: group of answer choices behavioral restrictions confinement injuries stereotypies all of the above Al + Pb(NO3)2 -------------------------------> ? fasttttttttttttttttt PLSSS HELPPPPPthe number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid. Based on the graph, which statement does not appear to be true. in the graph, the coordinate point (4,-9) is ____in the graph, the coordinate point (1,0) is ____in the graph, the coordinate point (7,0) is ____in the graph, the coordinate point (4,0) is ____the options: an x-intercept, a y-intercept, a vertex, on the line of symmetry quilt squares are cut on the diagonal to form triangular quilt pieces. the hypotenuse of the resulting triangles is 16 inches long.what is the side of each piece. A.8in B.8and 3 in C.16and 2in D. 8and2in.