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KATRIN_1 [288]
3 years ago
10

Convert the angle O= 35° to radians. Express your answer exactly. radians

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer:

\frac{7\pi }{36} radians

Step-by-step explanation:

The conversion from angles to radians is multiplying the angle by \frac{\pi }{180}

35° x \frac{\pi }{180}

= \frac{7\pi }{36}

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Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4
Charra [1.4K]
<h3>Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.</h3>

<em><u>Solution:</u></em>

Let stamps be s and postcards be p

Given that,

The number of stamps was 4 more than twice the number of postcards

s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

41 cent = $ 0.41

26 cent = $ 0.26

Therefore,

s \times 0.41 + p \times 0.26 = 10.28

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

0.41(4 + 2p) + 0.26p = 10.28

1.64 + 0.82p + 0.26p = 10.28

1.08p = 10.28 - 1.64

1.08p = 8.64

Divide both sides by 1.08

p = 8

Substitute p = 8 in eqn 1

s = 4 + 2(8)

s = 4 + 16

s = 20

Thus Jason bought 20 stamps and 8 post cards

8 0
3 years ago
Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

<u>Solution:</u>

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

<em><u>The average rate of change is given as:</u></em>

\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}

<em><u>Find f(2) and f( - 1)</u></em>

<em><u>Substitute x = 2 in given function</u></em>

f(2) = 2(2) - 1 = 4 - 1 = 3

<em><u>Substitute x = -1 in given function</u></em>

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

<em><u>Substitute the values in above formula,</u></em>

\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2

Thus average rate of change from x = -1 to x = 2 is 2

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3 years ago
Find the perimeter of the figure to the nearest hundredth.<br> Please consider helping!
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Which equation represents "the product of a number and 24 is 72"?
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Answer:

Step-by-step explanation:

24 p=72

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Put this equation in standard form Y+5=-(x+3)?
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Answer: y = x - 2

Step-by-step explanation:

Subtract 5 from both sides.

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