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4 years ago

Corey uses exactly 50 yards of wire fence to create a triangular pen for his dog in his

Mathematics

1 answer:

Oliga [24]4 years ago

3 0

16. 50-18=32
32/2=16

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

8 0

3 years ago

Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i

Nikitich [7]

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation

<u>Dependent variables</u>, are the values that result from the independent variables

we have the function

$d(t)=50t$

In this problem

This is a proportional relationship between the variables d and t

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

5 0

3 years ago

Read 2 more answers

Why ı hate this world??

Ludmilka [50]

Answer:

your young dont hate the world

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Using the unit circle find the exact value. CSC -30º =

AlexFokin [52]

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = $\frac{1}{sinx}$ and the exact value sin30° = $\frac{1}{2}$

sin(- 30)° = - sin30° = - $\frac{1}{2}$ , thus

csc (- 30)° = $\frac{1}{-\frac{1}{2} }$ = - 2

8 0

4 years ago

amber owns a skateboard shop. amber wants to buy one thousand eight hundred forty six skateboard wheels. skateboard wheels sell

Sonbull [250]

Amber spends $5,307.25 and she can make 461 skateboards.
Divide 1846 by 2 and you get 923, you then multiply that by $5.75 and get $5,307.25.
Then, you'll divide 1,845 by 4 and get 461.5. (she can only make 461 full skateboards.)

8 0

3 years ago