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3 years ago

Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

1 answer:

6 0

$\dfrac{\tan\theta+\cot\theta}{\sec\theta\csc\theta}=\dfrac{\dfrac{\sin\theta}{\cos\theta}+\dfrac{\cos\theta}{\sin\theta}}{\dfrac1{\cos\theta}\dfrac1{\sin\theta}}=\dfrac{\sin^2\theta+\cos^2\theta}1=1$

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the windows on a building are proportional to the size of the building. the height of each is 18in and the width is 11in if the

Elena-2011 [213]

You can set this up as 2 fractions equal to each other, like ratios.

18/11=108/x

Cross multiply and you get 18x=1,188

Now divide both sides by 18 and get x.

x=66.

If the height of the building is 108ft, the width is 66ft.

4 0

3 years ago

Read 2 more answers

a hotel has enough food for 125 guest to last 16 days. how long will the food last if 25 more guest check-in to the hotel ?

timama [110]

3.2 less days than 16 because each 25 is 5 than 16 divide by 5 is 3.2

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3 years ago

You roll two dice. What is the probability that the average of the high and low roll is exactly 3, to four decimal places?

Sladkaya [172]

Answer:

0.1111

Step-by-step explanation:

Given that you roll two dice.

the average of the high and low roll is exactly 3,

Since die can show only 1 to 6 we can say average can be 3 in each of the following case.

(1,5) (2,4) (3,3) (4,2) (5,1)

There cannot be any other combination to get average of 3.

Thus favourable events = 4

Sample space will have

(1,1)...(1,6)

(2,1)....

(6,1)...(6,6) i.e. 36

So probability that the average of the high and low roll is exactly 3

= $\frac{4}{36} \\=0.1111$

8 0

3 years ago

The table shows conversions for common units of length.

Vedmedyk [2.9K]

Answer:

1 kilometer

0.621371 miles

Step-by-step explanation:

Given data

In the given table we are presented with the conversion table for common units and we are required to present the conversion for kilometers to miles

Hence the conversion from kilometers to miles is presented below

1 kilometer

0.621371 mile

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3 years ago

If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami

masha68 [24]

The volume (V) of a pyramid is found using the formula

V = $\frac{1}{3}$ × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = $\frac{1}{3}$ × 81 × h = 27h ( divide both sides by 27 )

h = $\frac{324}{27}$ = 12 → A

3 0

3 years ago