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3 years ago

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A kite is flying at a vertical of 65 meters. It's string is attached to the ground at a 31 degree angle with the ground. How lon

g is the string? Round the the nearest WHOLE NUMBER

1 answer:

Simora [160]3 years ago

8 0

Answer:

70 and 30

Step-by-step explanation:

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What is the length of ac?<br> Someone please answer this fast!

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Answer:

use the laws of sines

Step-by-step explanation:

is you use those you literally good to go .

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3 years ago

What is a division sentence?

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A number sentence that uses the operation of division.

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Apollo 8 orbited the moon in a circular orbit. Its average altitude was 185 km above the moon's surface. Create an equation to m

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3 years ago

Read 2 more answers

Find the volume of the solid whose base is the region Ix I Iy I < 1 and whose vertical cross sections perpendicular to the y-

gavmur [86]

Answer:

volume of the solid = $\frac{\pi }{3}$

Step-by-step explanation:

As given , the region : |x| + |y| $\leq$ 1

when y $\geq$ 0 ,

|x| + y = 1

⇒|x| = 1 - y

when y ≤ 0 ,

|x| - y = 1

⇒|x| = 1 + y

The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)

As given , the vertical cross section are semicircle

As we know that the area of semi circle = $\frac{1}{2}$ $\pi x^{2}$

Now,

Volume = $\int\limits^0_-1 {\frac{\pi }{2} (1+y)^{2} } \, dy$ + $\int\limits^1_0 {\frac{\pi }{2} (1-y)^{2} } \, dy$

= $\frac{\pi }{2} (\frac{(1+y)^{3} }{3} )$ - $\frac{\pi }{2} (\frac{(1-y)^{3} }{3} )$

= $\frac{\pi }{6}$ [1-0] - $\frac{\pi }{6}$ [0-1]

= $\frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}$

⇒volume of the solid = $\frac{\pi }{3}$

4 0

3 years ago

The mapping diagrams below show 4 different relationship between input and output values.

KatRina [158]

Answer:

A. B and C are functions

Step-by-step explanation:

Given

See attachment for mapping diagrams

Required

Which represent function

For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.

Base on the above analysis, we have:

<u>Map A</u>

1 points to 6; 2 to 7; 3 to 8; and 4 to 9

<em>This is a function</em>

<u>Map B</u>

2 points to 0; 4 to 0; 6 to 0; and 8 to 0

<em>This is a function</em>

<u></u>

<u>Map C</u>

1 points to 8; 3 to 8; 5 to 9; and 7 to 9

<em>This is a function</em>

<u>Map D</u>

0 points to 2 and 5; 3 points 7 and 9

<em>This is not a function</em>

8 0

2 years ago