I need help with this practice I attempted this and got 13.96? Make sure your answer is rounded to the nearest hundredth

I Need Help With This Practice I Attempted This And Got 13.96? Make Sure Your Answer Is Rounded To The

Answers

Answer 1

Law of Cosines

Given two side lengths a and b of a triangle and the angle included by them θ, the length of the third side can be calculated as:

[tex]c^2=a^2+b^2-2ab\cos \theta[/tex]

We have a = 14, b = 9, θ = 71°. Substituting:

[tex]\begin{gathered} c^2=14^2+9^2-2\cdot14\cdot9\cos 71^o \\ c^2=196+81-252\cdot0.325568 \\ c^2=194.956825 \\ c=\sqrt[]{194.956825} \\ c=13.96 \end{gathered}[/tex]

The length of CD is 13.96


Related Questions

PLSS HELP I DO NOT UNDERSTAND THIS PLSSS

Answers

The rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.

What is the rate of change?The rate at which a variable alters over a predetermined amount of time. It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.

So, the rate of change in column 'x':

24 - 6 = 18

The rate of change per unit is 18.

Now, 24 ≤ x ≤ 96.

Between 24 and 96, there are three values given in the column which are:

426078

So, x can be 42, 60, and 78.

Therefore, the rate of change is 18 units and 24 ≤ x ≤ 96 is 24 < 42, 60, 78 < 96.

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A travel trailer is bought at the price of $35,000. The value decreases at the rate of .25 every year (t). The exponential expression 35,000(0.75)t describes this situation. Find the value of the travel trailer after 5 years.

Answers

The value of the travel trailer after 5 years is $8306  .

in the question ,

it is given that

the price of the travel trailer(a)  = $35000

rate of decrease(r) = 0.25

time (x) = 5 years

The exponential expression for the decrease in price after x years is given by the formula

price = a(1-r)ˣ

where, a is the initial amount ,

r is the decay rate ,

x is the time period .

Substituting the values from above in the formula ,

we get

price = 35000(1-0.25)⁵

= 35000(0.75)⁵

= 8305.664

≈8306

Therefore , the value of the travel trailer after 5 years is $8306  .

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Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?

Answers

Colton has $67,696 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will he earn in 1 year?​

we know that

2%=2/100=0.02

so

To find out the amount of interest, multiply the total amount by the percentage in decimal form

(67,696)*0.02

=$1,353.92

Which expression represents the quotient of d and 11d÷11d×11d-11d+11

Answers

Answer:

A. d ÷ 11

Explanation:

The quotient of two terms is the division of the first term by the other term.

If we say the quotient of d and 11​, we write it mathematically as:

[tex]d\div11[/tex]

The correct choice is A.

-3(0.5+3p)=-6(p-5.9) show work
help

Answers

Answer:

p=12.3

Step-by-step explanation:

-1.5-9p= -6p+35.4

36.9=3p

p=12.3

40 ounces of granola cost $6.52 how much does a granola cost per ounce(give your answer to the nearest cent)

Answers

Answer: $0.2

Step-by-step explanation:

To find the answer you divide 6.52 by 40 which will get 0.163. To check the answer and make sure its correct you can multiply 0.163 by 40 to get 6.52 making the answer correct so 0.2 is the answer to the nearest cent. Hope this helps :)

Element X decays radioactively with a half life of 5 minutes. If there are 860 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 230 grams? y = a(.5) k​

Answers

The amount of time it would take Element X to decay to a mass of 230 grams is 9.5 minutes.

How to determine the amount of time to decay?

Mathematically, the mass of a radioactive element that is remaining after time (t-hours) is given by this exponential function:

A(t) = A₀·e^{t/τ}

Where:

A(t) represents the mass remaining or current mass measured in grams.A₀ represents the initial mass measured in grams.τ is the time constant measured in minutes.t represents the half-life or time to decay measured in minutes.

Next, we would determine the time constant by using this mathematical expression:

Time constant, τ = t/ln2

Time constant, τ = 5/0.6932

Time constant, τ = 7.2130 minutes.

Now, we can determine the amount of time to decay by making half-life (t) the subject of formula as follows:

A(t) = A₀·e^{t/τ}

Half-life, t = -τ·ln(A(t)/A₀)

Substituting the parameters into the formula, we have;

Half-life, t = -7.2130·ln(230/860)

Half-life, t = -7.2130 × ln(0.2674)

Half-life, t = -7.2130 × -1.3190

Half-life, t = 9.51 ≈ 9.5 minutes.

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The cost to rent a paddle boat at the country park is $8 per hour plus a non-refundable deposit of $10. The cost can be modeled by the function f(h) = 8h + 10, where h represents the number of hours the boat is rented. Describe the graph g(h) as it relates to f(h) if the non-refundable deposit increases to %15. PLEASEE HELPP!!

Answers

The relationship between the graph of f(h) and graph of g(h)

Both graphs have same slope of 8The y intercept of f(h) = 10The y intercept of g(h) = 11.5both graphs are straight line graph representing linear functions.

What is a graph ?

A graph is a pictorial representation of information

How to find the increment in the non refundable deposit

The difference in the two graphs is the part of the non refundable deposit which will affect the intercept.

In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%

The increment is solved below

solving the percentage increased

15% of $10 = 0.15 * 10 = $1.5

adding to the initial deposit

10 + 1.5 = 11.5

g(h) = 8h + 11.5

The graph of g(h) will have same slope as graph of f(h) which is 8

The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10

both graphs will form parallel lines

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10 POINTS! PLS HELP! If 4 < a < 5 and 5 < b < 8, which of the following best describes a-b?




a) between -4 and -8

b) between -4 and 0

c) between 2 and 3

d) between -1 and 0

I don't know how to do this, so pls explain how to do it in your answer :)

Answers

Answer:

Between -4 and 0

Step-by-step explanation:

Hey! I saw your most recent and I'm assuming it is this question we're talking about it so let's help you with that!

Let's start by looking at what each of them mean, the first one means that 4 is lower than a but a is lower than 5 (Inequality 1) The second one means 5 is lower than b but b is lower than 8 (Inequality 2). Now, in order to find out [tex]a-b[/tex], we need to find the largest and smallest value of [tex]a-b[/tex]. The reason why we do this is because we want to look for the range of what [tex]a-b[/tex] can give us and in finding the largest and smallest value, if we were to evaluate both inequality 1 and 2 using [tex]a-b[/tex], we know that it can't be beyond the largest value or smaller than the lowest value.

In order to figure out the largest possible value of [tex]a-b[/tex], we need to take the maximum x value of inequality 1 and subtract it by the minimum y value of inequality 2, so we get:

[tex]5-5=0[/tex]

In order to figure out the smallest possible value of [tex]a-b[/tex], we need to take the minimum x value of inequality 1 and subtract it by the maximum y value of inequality 2, so we get:

[tex]4-8=-4[/tex]

So, in this case! The answer is b) between -4 and 0

Answer:

B

Step-by-step explanation:

10 < w/6 solve the inequality for w and simplify your answer as much as possible

Answers

Answer:

60

Step-by-step explanation:

10 x 6 < w

60 < w

that answers it

Answer: Multiply to remove the fraction, then set equal to

0

and solve.

Inequality Form:

w

>

60

Interval Notation:

(

60

,

)

HELP PLEASE FASTTTTTTTT

Answers

A: 9.43

I put it into a distance calculator.
Hope this will help.

Answer: I think it’s C

(b)The graph of y = g(x) is shown. Draw the graph of g(2x). Will award 100 Brainly points
The points of the graph is (0,0) (2,-4) and (4,-2)

Answers

Using the stated transformation, the graph of g(2x) is given at the end of the answer.

Horizontal stretch and compression

An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:

g(x) = f(ax).

The definition of stretch or compression depends on the value of the constant a, as follows:

If a > 1, it is a compression by a factor of 1/a.If a < 1, it is a stretch by a factor of 1/a.

In this problem, the rule is:

f(x) = g(2x).

Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:

(0,0).(1,-4).(2,-2).

That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.

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for her final project, stacy plans on surveying a random sample of 50 students on whether they plan to go to florida for spring break. from past years, she guesses that about 10% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?

Answers

It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

How to illustrate the information?

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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freddy is having a fall harvant party for his friends they have 30 to decorate and 36 sets of material to make mini scarecrows how many kids decorate pumpkins and make scarecrows if he wants each person to have the same amount of crafts with nno left overs material

Answers

Based on the highest common factor, the number of kids that can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers is 5.

What is the highest common factor?

The highest common factor (HCF) is the number that can divide between 30 and 36 without a remainder.

                          Pumpkins      Materials

Units                       30                 36

HCF                          6                   6

Average used          5                  6

Thus, dividing 30 and 36 by their HCF of 6, respectively, shows that 5 kids can decorate the 30 pumpkins using 6 materials each to make the scarecrows.

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The number of kids who can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers would be; 5.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The highest common factor (HCF) is defined as the number which can divide between 30 and 36 without a remainder.

Given that they have 30 to decorate and 36 sets of material to make mini scarecrows.

Their HCF is 6. The averages used are 5  and 6 respectively.

Hence, their HCF of 6, shows that 5 kids can decorate the 30 pumpkins by using 6 materials each to make the scarecrows.

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How many terms are in this expression?
7a+ 1 + 8b

Answers

Answer:

3

Step-by-step explanation:

There are 3 terms. The terms are separated by + signs. They can also be separated by - signs.

The terms are 7a, 1, 8b.

If there was a minus sign in front of the term you need to keep it with the term because it is a negative term.

Answer:

There are a total of 3 terms

Step-by-step explanation:

A term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or - sign in an overall expression. We are basically counting how many individual mathematical expressions

7a is a term

1 is a term, and it's a constant

8b is a term

in professional tennis, the length of time that the strings of a tennis racquet last is distributed uniformly anywhere from 5 to 30 days. given that the strings are still not broken on day 15 since they were strung, what is the probability that the strings will not break for at least another 10 days? round your answer to 2 digits after the decimal.

Answers

15 times 10 150 minus 30 times 5 150 25

Select all the intervals where f is decreasing.(Choice A)-5

Answers

Looking at the graph

we have that

Decreasing intervals are

(-infinite, -2.5) and (1.75, infinite)

so

Verify each option

A ----> is true

B ---> is not true

C ---> is true

D ---> is not true

The answer is A and C

What is the equation of a line that passes though the pointe (8, -3) and has a slope of 1/4?

Answers

Answer:

y = (1/4)x - 5

Step-by-step explanation:

We'll look for an equation having the form y=mx+b, where m is the slope and b is the y-intercept, the value of y when x=0.

We are told the slope, m, is (1/4):

  y = (1/4)x+ b

We need to find a value of b such that it forces the line to go through point (8,-3).  Enter that point in the equation:

  y = (1/4)x + b

  -3 = (1/4)(8) + b    for (8,-3)

   -3 = 2 + b

b = -5

The equation is y = (1/4)x - 5

See attached graph.

Susie has a part-time job at the video store. She makes between $41.89 and $47.91 a day. Which is a reasonable amount of money that Susie makes for working 7 days?

Answers

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Susie has a part-time job at the video store and she makes between $41.89 and $47.91 a day.

Now,

The amount of money for a day = ($41.89 + $47.91) / 2

The amount of money for a day = $89.8 / 2

The amount of money for a day = $44.9

Thus, The amount of money that Susie makes for 7 working days is;

= 7  x $44.9

= $314.3

Hence,

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

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(03.03)

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). please help

Answers

The point R represents the number -2.5 on the number line

How to determine the location of the point R?

From the question, we understand that the point R is halfway between the integers on the number line

This means that

Point R = 1/2 * (a + b)

Where variables a and b represent the boundaries of the integers

In this case, we have

a =-2

b = -3

Substitute a =-2 and b = -3 in the equation Point R = 1/2 * (a + b)

So, we have

Point R = 1/2 * (-2 - 3)

Evaluate the difference

Point R = 1/2 * -5

Evaluate the product

Point R = -2.5

Hence, the location of R on the number line is  -2.5

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Sydney has a quarters and y dimes, having no less than 18 coins worth a maximum of $3.60 combined. A minimum of 4 of the coins are quarters and at least 16 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.




HELP ME ASAP PLEASE!!!​

Answers

Step-by-step explanation:

x + y = 18 We have at least 4 quarters

0.25x + 0.1y = 3.6

If we graph both equations, the point of intersection will give us our answer.

In this case, the lines intersect at the point (12, 6) which means I have 12 quarters and 6 dimes. This solution is correct as it also satisfies the condition of having at least 4 quarters.

(got this from another website, maybe it's wrong..

Wishing you the best!! )

What are we missing in the triangle in the picture?

Answers

Looking at the triangle, we missing a side. This side represents the leg.

Now, we can find this missing side using the Pythagorean Theorem because the half represents a right triangle.

- The hypotenuse is the largest side, then hypotenuse = 5ft.

Using

Karina is baking bread. she buys a small bag of flour that contains 2 2/3 cups of flour. the recipe calls for 2 5/7 cups of flour. does she have enough flour to bake the bread? explain how she can compare the fractions to know for sure.

Answers

Using approximation, the two are the same and she contains enough flour.

What is meant by the unitary method?

The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.

Given that Karina buys a small bag of flour that has 2 2/3 cups of flour. The recipe calls for 2 5/7 cups of flour.

1) 2 2/3  cups of flour.

= ((2 × 3)+2)/3

= 2.666

Therefore, she get 2.666

2)  2 5/7 cups of flour.

= ((2 × 7) + 5)/7

= 2.714

Therefore, she get 2.714

Using approximation, the two are the same and she has enough flour.

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A blueprint for the floor of a natural history museum is shown.
The scale of the museum to the blueprint is 20 yd to 1 in. What
is the area of the floor of the actual Great Hall?

Answers

         The journey through the difficult process of learning to read is described by the Reading Scale. It provides teachers with different perspectives on and analytical tools for their observations of children's growing abilities, knowledge, and comprehension of the reading process.

Give an example to explain what scale is.

          Develop Areas Dinosaur Special Using Scale Read the issue below and attempt to resolve it.

            Wonderful exhibit hall A natural history museum's floor plan is displayed.

          3/4 in The The museum is 20 yards to one inch in scale with the blueprint.  

What Ocean Hall's floor area is the genuine Great Hall's?

          Space 3/4 in TRY IT Math Resource Kit paper with two sets of numbers, a grid, ribbon, and yarn ADVERTISE IT Why did you select that method of location, for example?

Share: I used the approach I did because.

3/4 : 20 yds

3/4 ×20/1 ÷60/4 = 15 yds

1 (3/4) = 7/4

7/4 × 20/1 = 140/4 = 35 yds.

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please help me fill in the boxes its due tomorrow

Answers

Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

the combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 800 and a standard deviation of 150. if a college requires a student to be in the top 15 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college? answer:(round to the nearest integer)

Answers

The student needs a minimum score of 956 to stay in the top 15% of the normal distribution.

Normal distributions are fundamental to statistics because they are widely used in the social and natural sciences to represent real-valued regressors with uncertain distributions.

Some of its importance may be due to the central limit theory.This statement asserts that, under certain conditions, the mean of many samples (observations) of a stochastic process with small mean and variance creates itself as a random variable, whose distributions converge to a normal distribution as the sample size increases.Because of this, physical value distributions that are expected to be the sum of a large number of independent occurrences, such as error margins, are typically near to normal.

Now top 15%

Therefore P=0.15

P(X<x) = 1 -0.15 = 0.85

Z-score = 1.04

Now we know that

z=(x-μ)/σ

Solving we get :

1.04 = (x - 800)/150

or, x = 956

hence the minimum score is 956.

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64 (5x+4) solve for x (angles)

Answers

Answer: 320x + 256

Step-by-step explanation:

i need this asap pleasee 44 points

Answers

Answer:

Step-by-step explanation:

i think its the 3rd one

Which inequality represebts the graph shown below

Answers

x > -2

The endpoint is a circle so equality is excluded
The arrow points to the right so x is strictly greater than -2

Answer:

x > -2

Step-by-step explanation:

Which statement best describes how to slice a cone so that the resulting cross section is an ellipse

Answers

Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.

Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is

A plane slicing the cone diagonally without intersecting the base

The correct option, therefore, is OPTION B

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