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Oksana_A [137]
2 years ago
11

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

n x° and cos y° share? A right triangle is shown with one leg measuring 8 and another leg measuring 6. The angle across from the leg measuring 6 is marked x degrees, and the angle across from the leg measuring 8 is marked y degrees.
Mathematics
1 answer:
stiks02 [169]2 years ago
7 0

The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13

<h3>How to work with Pythagoras Theorem?</h3>

From the definitions of trigonometric ratios, we know that;

sin x = opposite leg/hypotenuse

cos y = adjacent leg/hypotenuse

From the Pythagorean theorem, we can find the hypotenuse as;

6² + 8² = hypotenuse²

The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13

Read more about Pythagoras Theorem at; brainly.com/question/27572671

#SPJ1

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The math teachers had a party over the weekend where they all had some of
Irina-Kira [14]

Answer:

7 1/3 bowls

Step-by-step explanation:

5 1/2 divided by 3/4=7 1/3

3 0
3 years ago
Read 2 more answers
A box of chocolates contains milk chocolates and dark chocolates in the ratio 2:3. The box contains 50 chocolates. How many milk
DochEvi [55]

Answer:

The box contains 20 milk chocolates.

Step-by-step explanation:

Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:

50 / (2 + 3)

50/5

10

Milk chocolates: 2 x 10 = 20

Dark chocolates: 3 x 10 = 30

Therefore, the box contains 20 milk chocolates.

3 0
3 years ago
The spinner for a board game has eight colors the arrow can land on. What are the degrees of freedom for a goodness-of-fit test
Juliette [100K]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of colors that the arrow can land on = 8

We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.

As we know that degree of freedom is 1 less than the size of sample.

So, Mathematically, it is expressed as below:

So, Degree of freedom would be

v=n-1\\\\v=8-1\\\\v=7

Hence, Option 'c' is correct.

7 0
3 years ago
List the perfect cubes between 1000 and 3000 that are even numbers
ad-work [718]
 12^3 = 1728; 14^3 = 2744;
5 0
3 years ago
⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
3 years ago
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