1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
myrzilka [38]
3 years ago
9

The _____ of an angle is the ratio of the adjacent leg length to the hypotenuse length.

Mathematics
2 answers:
Savatey [412]3 years ago
8 0

Answer:

Cosine

Step-by-step explanation:

We have to fill the given blank space .

We know that

sin\theta=\frac{Opposite\;side}{Hypotenuse}

cos\theta=\frac{Adjacent\;side}{Hypotenuse}

Tan\theta=\frac{Opposite\;side}{adjacent\;side}

Therefore, the cosine of an angle is the ratio of the adjacent leg length  to the hypotenuse length.

Answer: Cosine

nlexa [21]3 years ago
4 0

Answer:cosine ,just answered in apex


Step-by-step explanation:


You might be interested in
In the first quadrant you start at 2,4 and move 5 units right
NikAS [45]

Answer:

Thanks for asking!

Step-by-step explanation:

(2,9)

5 0
3 years ago
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. The
solniwko [45]

Answer:

f(x) = 26500 * (0.925)^x

It will take 7 years

Step-by-step explanation:

A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.

To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.

4 0
3 years ago
Work out 77 % of 775.66 m Give your answer rounded to 2 DP.
Zinaida [17]

Answer:

597.25 m

Step-by-step explanation:

We need to find 77% of 775.66 m.

It can be calculated as follows :

77\%\times 775.66\\\\=\dfrac{77}{100}\times 775.66\\\\=597.25\ m

So, 77% of 775.66 m is equal to 597.25 m.

6 0
3 years ago
Fill in the missing statement and reason in the proof of the Alternate Exterior Angles Theorem.
ludmilkaskok [199]

Answer:

∠EGB and ∠AGF are congruent;

Transitive Property of Equality

Step-by-step explanation:

The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other

Vertical angles are congruent i.e their measures are equal

Look at the attached graph

Given:

AB // CD

E , G , H , F are col-linear

The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD

∵ AB and EF intersected at point G

∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem

When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent (  vertical angle theorem)

∵ AB // CD and EF is a transversal

∴ m∠AGF = m∠CHF (corresponding angles theorem)

Transitive Property of Equality:  if one angle is equal to two other angles, then the two other angles are equal

 Therefore, If a = b and b = c, then a = c

∵ m∠EGB = m∠AGF

∵ m∠AGF = m∠CHF

∴ m∠EGB = m∠CHF (transitive property theorem)

 ∠EGB and ∠AGF are congruent; Transitive Property of Equality

4 0
3 years ago
Read 2 more answers
The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2
podryga [215]

<u><em>Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.</em></u>

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

  • Enlargement occurs when a dilation does create a larger image.
  • Reduction occurs when a dilation does create a smaller image.
  • A dilation shrinks or stretches the original object.
  • If the scale factor > 1, the image will be a stretch (enlargement)
  • If the scale factor is between 0 and 1, the image will be shrunk (reduction)
  • If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

  • Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

  • Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

#learnwithBrainly

8 0
3 years ago
Other questions:
  • Which of the following expressions represents "the sum of n and the sum of 8 and 6"?
    7·2 answers
  • The average yearly temperature T in degrees for Newport, Oregon is given by: |T−55|≤10 Find the average temperature range in deg
    9·1 answer
  • For the equations given below, which statement is true? -2x=14. 6x=-42​
    11·1 answer
  • -5 x = 4 what property of equality was use to solve this equation
    12·2 answers
  • Linda gets paid $80 per day. Unfortunately Linda went home sick after working 1/3 of the day on Friday. At her company they don’
    8·1 answer
  • Students in Mrs. Walsh’s math class wanted to know the favorite snacks of students in the school. How could they generate a rand
    13·1 answer
  • Does anyone know the answer to this question ?
    11·1 answer
  • Justin was asked to write six different equations based on the triangle below.
    13·1 answer
  • Help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • Will give brainliest if you give me the correct answer
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!