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2 years ago

Find the length of the missing side. If necessary, round to the nearest tenth.

Mathematics

1 answer:

svetlana [45]2 years ago

3 0

The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.

So:

35^2 + b^2 = 40^2

1225 + b^2 = 1600

b^2 = 375

b = $\sqrt{375}$

b = 19.3649

<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>

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A triangle has a perimeter of 91 cm. If the three sides of the triangle are n,4n - 2 and 5n - 7 what is the length of each side

sdas [7]

Answer:

10,38,43

Step-by-step explanation:

n+4n-2+5n-7=91

10n=91+2+7

10n=100

n=10

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5(10)-7=43

if anything is unclear, ask freely.

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2 years ago

Use the unit circle to find sec (-90)

andreyandreev [35.5K]

Using the unit circle, you can visualise the secant as follows:

Draw the vertical line passing trough (1,0)
Extend the radius until it meets this line at point P
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Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

$\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}$

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4 0

2 years ago

Most analysts focus on the cost of tuition as the way to measure the cost of a college education. But incidentals, such as textb

Charra [1.4K]

Answer:

The population of interest to the researcher were the 250 first-year students that were monitored.

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2 years ago

hi:) for 5(b) , I got 157.7 & 22.3 but in the answer key, the only correct answer is 157.7. I thought there should be 2 poss

n200080 [17]

Answer:

Θ = 157.7°

Step-by-step explanation:

Given

cosΘ = - 0.925

Since cosΘ < 0 then Θ is in the second or third quadrant.

Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus

Θ = $cos^{-1}$ (- 0.925) = 157.7° ← angle in second quadrant