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3 years ago

Use the disruptive property in order to multiply 5(b + 8)

Mathematics

1 answer:

Vikki [24]3 years ago

8 0

Answer:

5b+40

Step-by-step explanation:

distributive property

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Suppose θ is an angle in the standard position whose terminal side is in Quadrant III and sec θ=61/60. Find the exact values of

Nataly_w [17]

Answer:

Part 1) $cos(\theta)=-\frac{60}{61}$

Part 2) $tan(\theta)=\frac{11}{60}$

Part 3) $cot(\theta)=\frac{60}{11}$

Part 4) $csc(\theta)=-\frac{61}{11}$

Part 5) $sin(\theta)=-\frac{11}{61}$

Step-by-step explanation:

we know that

If angle theta lie on Quadrant III

then

The function sine is negative

The function cosine is negative

The function tangent is positive

The function cotangent is positive

The function cosecant is negative

The function secant is negative

step 1

Find $cos(\theta)$

we know that

$cos(\theta)=\frac{1}{sec(\theta)}$

we have

$sec(\theta)=-\frac{61}{60}$ ----> the value must be negative

therefore

$cos(\theta)=-\frac{60}{61}$

step 2

Find $tan(\theta)$

we know that

$tan^{2} (\theta)+1=sec^{2} (\theta)$

we have

$sec(\theta)=-\frac{61}{60}$

substitute

$tan^{2} (\theta)+1=(-\frac{61}{60})^{2}$

$tan^{2} (\theta)+1=\frac{3,721}{3,600}$

$tan^{2} (\theta)=\frac{3,721}{3,600}-1$

$tan^{2} (\theta)=\frac{121}{3,600}$

$tan(\theta)=\frac{11}{60}$

step 3

Find $cot(\theta)$

we know that

$cot(\theta)=\frac{1}{tan(\theta)}$

we have

$tan(\theta)=\frac{11}{60}$

therefore

$cot(\theta)=\frac{60}{11}$

step 4

Find $csc(\theta)$

we know that

$cot^{2} (\theta)+1=csc^{2} (\theta)$

we have

$cot(\theta)=\frac{60}{11}$

substitute

$(\frac{60}{11})^{2}+1=csc^{2} (\theta)$

$\frac{3,600}{121}+1=csc^{2} (\theta)$

$\frac{3,721}{121}=csc^{2} (\theta)$

square root both sides

$csc(\theta)=-\frac{61}{11}$

step 5

Find $sin(\theta)$

we know that

$sin(\theta)=\frac{1}{csc(\theta)}$

we have

$csc(\theta)=-\frac{61}{11}$

therefore

$sin(\theta)=-\frac{11}{61}$

7 0

3 years ago

Read 2 more answers

Correctly place on the number line 0.729,0.54,0.90,0.905

postnew [5]

Answer:

From least to greatest:

0.54, 0.729, 0.90, and then 0.905

Hope I helped!

8 0

4 years ago

Table A

Alex777 [14]

Answer:

Step-by-step explanation:

1. Find the rate of change of the graph. Which is 4.

2. Because 5 is greater of 4, Object B has the greater speed.

3. To find the factor you must divide 4 from 5. 5 ÷ 4

4. 5 ÷ 4 = 1.25

5. The correct answer is D

5 0

4 years ago

Help . Describe the graph of a function g by observing the graph of the base function f.

vfiekz [6]

Answer:

yet I don't have ideal of dis okkk

3 0

3 years ago

I will mark you brainiest if you can answer this

MrRissso [65]

B is the correct answer because the bottom should be 8^0 which equals 1

3 0

3 years ago