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3 years ago

Round the number to the nearest hundredth 3.99527

Mathematics

2 answers:

valentinak56 [21]3 years ago

8 0

Answer:

nnnnnnnn

Step-by-step explanation:

iren [92.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

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Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘.

stiv31 [10]

Answer:

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(10^{\circ})=\frac{120}{x}$

$x=\frac{120}{\text{tan}(10^{\circ})}$

$x=\frac{120}{0.176326980708}$

$x=680.5538183559$

Upon rounding to nearest foot, we will get:

$x\approx 681$

Therefore, the campsite is 681 feet away from the base of the cliff.

4 0

3 years ago

When the smaller of two consecutive integers is added to two times the larger, the result is 26. find the integers?

Mashutka [201]

(X)+2(x+1)=26
3x=24
X=8

Y=x+1
Y=8+1
Y=9
The two numbers are 8 and 9

8 0

4 years ago

Help me piz with its problem

NISA [10]

Answer:

Step-by-step explanation:

6÷2(1+2)

First solve what is inside the parenthesis.

6÷2(3)

Next multiply to get rid of the parenthesis

6÷6

Finally divide

4 0

2 years ago

Read 2 more answers

Arrange the steps in the correct order to solve: sin 3pi/4 cos pi/12

Dmitry [639]

$\bf \textit{Product to Sum Identities}
\\\\
sin(\alpha)cos(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad +\quad sin(\alpha-\beta)]\\\\
-------------------------------\\\\
sin\left( \frac{3\pi }{4} \right)cos\left( \frac{\pi }{12} \right)\implies \cfrac{1}{2}\left[ sin\left( \frac{3\pi }{4}+\frac{\pi }{12} \right) ~~+~~sin\left( \frac{3\pi }{4}-\frac{\pi }{12} \right)\right]$

$\bf \cfrac{1}{2}\left[ sin\left( \frac{9\pi+\pi }{12} \right) ~~+~~sin\left( \frac{9\pi-\pi }{12} \right)\right]
\\\\\\
\cfrac{1}{2}\left[ sin\left( \frac{10\pi }{12} \right) ~~+~~sin\left( \frac{8\pi }{12} \right)\right]\implies 
\cfrac{1}{2}\left[ sin\left( \frac{5\pi }{6} \right) ~~+~~sin\left( \frac{2\pi }{3} \right)\right]
\\\\\\
\cfrac{1}{2}\left[\cfrac{1}{2}~~+~~\cfrac{\sqrt{3}}{2} \right]\implies \cfrac{1}{2}\left[ \cfrac{1+\sqrt{3}}{2} \right]\implies \cfrac{1+\sqrt{3}}{4}$

5 0

4 years ago

jon has to pay $7 admission for the skating rink and $1.50 per hour to rent the rollerblades. how can he skate for $19?

schepotkina [342]

H=Hours he an skate; T=total cost

T=$7.00+($1.50/hr)H

T-$7.00=($1.50/hr)H

(T-$7.00)/($1.50/hr)=H

For T=$19:

($19.00-$7.00)/($1.50/hr)=H

$12.00/($1.50/hr)=H

8hrs=H

ANSWER: Jon can skate 8 hours for $19.00.

Hope this helps!

4 0

3 years ago