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2 years ago

Serena hits a tennis ball downward from the top of the net at which the angle of

Mathematics

1 answer:

morpeh [17]2 years ago

8 0

Answer:

2.5 meter

Step-by-step explanation:

in a right triangle, tan of an angle = opposite side /adjacent side

tan 70° = x/ 0.9 , multiply both sides by 0.9

0.9 * tan 70° = x, solve on a calculator

x ≈ 2.5 m

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Anyone help? I'm trying to answer this question but I'm confused.

xeze [42]

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2 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

11 months ago

You were shopping for a Christmas present. You found the item on sale for 20% off. Tax is 8%. If the original price was $450, ho

klio [65]

Answer:

$Cost\ of\ gift=\$ 388.8$

Step-by-step explanation:

Original Price $=\$450$

Discount:

Discount $=20\%$

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Tax:

Tax $=8\%$

$8\%\ of\ 360=\frac{8}{100}\times 360=28.8\\\\Final\ cost=360+28.8=\$388.8$

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2 years ago

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Yanka [14]

Answer:

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Step-by-step explanation:

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Lady bird [3.3K]

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3 years ago