What is the volume of the right triangular prism below? a 1600cm 800cm 400cm 160cm

Given the information about the triangle, we can use the cosine function on angle x to get the following:

solving for x, we get:

therefore, the value of x is 61.1

Given:

To find:

a) f(g(x)) b) g(f(x))

We have that the next x-intercepts 0,2 and 4, in the graph therefore the zeros of the graph are 0,2 and 4.

The correct choice is C.

Answer:

Jenny scored 644th place.

Step-by-step explanation:

To find out what place she finished, you need to write it out first like this:

77% of 837.

Now, to make the equation possible to solve, we can take the 77 and make it a decimal: 0.77.

The term "of" means multiplication.

So, in turn, we have the equation:

0.77 x 837 = 644.49

And, if you round it, your answer would be:

Jenny scored 644th place.

Answer:

See below

Step-by-step explanation:

77th percentile means she scored better than 77 per cent of the test takers...

  So Jenny's place was    .23  *  837 = ~ 193 rd   Out of 837 people

The average monthly expenses for Bill's utilities is $266.67.

It is given in the question that:-

Expenditure in December by Bill = $ 234.45

Expenditure in January by Bill = $ 281.23

Expenditure in February by Bill = $ 284.33

We have to find the average monthly expenses for Bill's utilities.

We know that,

Average monthly expense for utilities = (Expenditure in December + Expenditure in January + Expenditure in February)/3

Hence, using the data given in the question, we can write,

Average monthly expense for utilities = (234.45 + 281.23 + 284.33)/3

Average monthly expense for utilities = 800.01/3 =  $266.67

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It takes 9 years to make $9050 from $5000 investment.

Given that, Principal = $5000, rate of interest = 9% and Amount = $9050.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Here, S.I. = Amount - Principal

= 9050-5000 = $4050

Now, 4050=(5000×9×T)/100

⇒ 4050/450 = T

⇒ T = 9 years

Therefore, it takes 9 years to make $9050 from $5000 investment.

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Solution:

The number of food items is given by the following expression:

4 cereal boxes + 6 cans+ t pieces of fruit+ 2 bags of rice

that is, she organizes

4+6+t+2 meals

this is equivalent to

(4+6+2)+t

this is equivalent to say

12 + t meals.

So that the correct answer is:

12 + t

Since the information required us that the equation has to start in zero we can think of functions like the root of x but also we have to add a value of 1/3. In other words one equation with those characteristics is

We would begin by determining the slope of the line given;

To determine the slope, we would have to express the equation of the line in slope-intercept form as follows;

Therefore, we need to make y the subject of the equation as shown below;

The equation in slope-intercept form appears as shown above. Note that the slope is given as the coefficient of x.

Note alo that the slope of a line perpendicular to this one would be a "negative inverse" of the one given.

If the slope of this line is

Then, the inverse would be

The negative of the inverse therefore is;

The answer therefore is option D

Solution

If we have 4 options and we want to find that Bill select one option and then Laura a different second option is:

1/2 * 1/2= 1/4= 0.25

Then the best answer is:

0.25

Given:

Total amount dealer has is $1160.

Spend 50% of the fund to buy a 1911 rocking chair and sells it for $710.

a)

b)

111.21% of the original value of the fund is the new value of the fund.

3

1) Let's sketch that, to better understand this:

2) Considering the Segment Addition Postulate, we can write that:

DF = DE + EF Plug into that the given values

9 = 6 + EF

9-6 = 6-6 + EF

3 = EF

EF =3

3) Hence, the line segment EF is 3 units long

The answer is

So the first one is the answer.

Because if m = 0 then the function would be a constant function that does not have inverse. and we don't care if b= 0 or not because even if b= 0 or no we just need to know about m.

The radius of circle is r = 8 cm.

The arc is of angle 270 degree.

The formula for the arc length is,

Determine the length of the arc.

So lenth of the arc is 37.68.

There is 15% in the premium.

From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.

First six-month auto insurance = $658

Renewal premium = $756

Change in the insurance = $98

percentage of $98 from $658

= 15%

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EXPLANATION

Since we have the expression:

First, we need to find the least common multiplier as follows:

Least common multiplier of x^2 + x - 6, x+3: (x-2)(x+3)

Ajust fractions based on the LCM:

The final expression is as follows:

The simplest form of the given division is,[tex][tex]\frac{550}{13}[/tex][/tex].

What is division?
The opposite of multiplication is division. Dividing a sum of numbers into equal pieces. A number is divided in division, which is a straightforward procedure.

Given that: (55/7)/(13/5)/(42/3)

First to simplify:

[tex](13/5)/(42/3)[tex]\frac{(\frac{13}{5}) }{(\frac{42}{3}) } = \frac{(\frac{13}{5}) }{14} \\[/tex] [tex]= \frac{13}{(5)(14)} \\= \frac{13}{70}[/tex][/tex]

So, expression becomes,

[tex][tex]\frac{(\frac{55}{7} )}{(\frac{13}{70} )}[/tex][/tex]

Now to simplify this expression.

Using:[tex][tex]\frac{(\frac{a}{b} )}{(\frac{c}{d} )} = \frac{ad}{bc}[/tex][/tex]

Then,[tex][tex]\frac{(\frac{55}{7} )}{(\frac{13}{70} )} = \frac{(55)(70)}{(7)(13)} = \frac{3850}{91} = \frac{550}{13}[/tex][/tex]

Therefore, [tex][tex]\frac{550}{13}[/tex][/tex] is the simplest form of the given division.

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Hello!

To solve this exercise, we must simplify these square roots until we have the same square root in both numbers (by the factorization process):

First, let's factorize the square root of 98:

So, we know that:

Now, let's do the same with the square root of 128:

So:

Notice that it also could be written as:

As we are talking about square roots, it will be easier if we group them in pairs of powers of 2, as I did:

If the number inside the root has exponent 2, we can cancel this exponent and remove the number inside the root. Then, we can write it outside of the root, look:

So, we just have to solve it now:

The ratio of Red candies to Blue candies is 5:4 in the bag.

The Solution:

Step 1:

We shall find the distance between point J an

anywhere you see x, input the value in the brackets.

eg f(-2) = 2(-2)+8

= -4+8

=4

Answer:

if x= -2

then f(x) = 2×(-2)+8

= -4+8

= 4

if x=0

then f(x)=2×0+8

=0+8

=8

if x=5

then f(x)=2×5+8

=10+8

=18

Answer:

Step-by-step explanation:

Slope-intercept form: y = mx + b

The 'm' in this formula means slope. The 'b' means the y-intercept.

y = 5x - 1

m = 5.

b = -1.

Now that we have identified the slope and the y-intercept, we can graph the equation.

When graphing these kinds of equations, always start at the y-intercept.

The y-intercept is -1, so we start from there and move up 5 and right 1 repeatedly.

Remember, slope = rise/run. We rise 5, and we run 1.

5 can also be represented as a fraction: [tex]\frac{5}{1}[/tex]

Let me know if you have any questions.

The answer is 12

Because 12x12x12 = 1728

a.

i) Sketch each rectangle:

ii) Find its dimensions

iii)

The fraction of the cone's volume that lies inside the cylinder would be; V = 44/21 r^4

Suppose that the radius of the considered right circular cone is 'r' units.

And let its height be 'h' units. The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

Then, its volume is given :

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Let the radius of the cylinder is r

The height of the cylinder is h = 3r

The height of the cone is h = 6r

The fraction of the cone's volume that lies inside the cylinder would be;

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times r^3 \times 6r \: \rm unit^3[/tex]

V = 44/21 [tex]r^{4}[/tex]

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Answer:

4/9

Step-by-step explanation:

Let:

A = Spinning blue

B = flipping heads

C = Spinning a 1

The probality of spinning blue is given by:

The probality of flipping heads is:

The probality of spinning 1 is given by:

Since they are independent events: