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3 years ago

78 round off to the nearest ten

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer:

Step-by-step explanation:

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Tan ^-1 (-1). enter your answer in radians

Assoli18 [71]

Answer:

$\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}$

Step-by-step explanation:

we are given

$tan^{-1}(-1)$

Let's assume angle as theta

$\theta =tan^{-1}(-1)$

so, we get

$tan(\theta)=-1$

now, we can use unit circle and find theta

and we get

$\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}$

So, solution is

$\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}$

8 0

3 years ago

Janis jogs around a rectangular park that is mi

Fynjy0 [20]

Answer:

1 7/10 miles

Step-by-step explanation:

Halfway around the park is ...

(3/5 mi) +(1/4 mi) = 12/20 mi +5/20 mi = 17/20 mi

Then all the way around the park is ...

2×17/20 mi = 17/10 mi = 1.7 miles

It is 1.7 miles around the park.

8 0

3 years ago

Can someone explain how to do #3?

dsp73

$\displaysyle (\sqrt 2)^{3}=(2^{\frac{1}{2}})^3=2^{\frac{1}{2} \cdot 3}=2^{\frac{3}{2}}=\sqrt {2^3}=\sqrt 8$

√8 is between 2 and 3, because 2²=4<8, but 3²=9>8. Also, our value is closer to 3 than to 2, so it is more than 2.5 and we have C and D options left.

Among these two numbers we find the one which is closer to √8.

C. 27=√729 ⇒ 2.7=√7.29

D. 28=√784 ⇒ <u>2.8=√7.84</u>

Hence our answer is D) 2.8

5 0

4 years ago

Read 2 more answers

Tap A fills a tank in 4hours while B fills the same tank in 3hours. Tap C empties this tank when full in 2hours. If the tank is

boyakko [2]

Answer:

<em>It will take 12 hours to fill the tank</em>

Step-by-step explanation:

Proportions

Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.

Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.

Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.

Each hour, the tank gets filled by:

$\displaystyle \frac{1}{4}+\frac{1}{3}-\frac{1}{2}=\displaystyle \frac{3}{12}+\frac{4}{12}-\frac{6}{12}=\frac{3+4-6}{12}=\frac{1}{12}$

Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank

6 0

3 years ago

Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of stickers should the teac

mojhsa [17]

Answer:

Step-by-step explanation:

because 15 x 4 = 60

20 x 3 = 60

3 0

3 years ago