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3 years ago

SOMEONE PLEASE HELP ME I WILLG IVE EVERYTHING!

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

4 0

Answer:

<h2>AB is around 33.18</h2><h2>BC is around 15.58 </h2>

Step-by-step explanation:

adjacent/hypotenuse is sine:

cos(28 degrees)=29.3/x

cos(28 degrees)*x=29.3

x=29.3/cos(28 degrees)

x=around 33.18

AB is around 33.18

opposite/adjacent is tangent

tan(28 degrees)=x/29.3

tan(28 degrees)*29.3=x

x=tan(28 degrees)*29.3

x=around 15.58

BC is around 15.58

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While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at

tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) = speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

$23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)$

simplifying the equation, we get

$23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)$

$23(2.8+2.8)/29=2.8^2-x^2$

$x^2=(2.8)^2-(23*5.6)/29)=3.4$

$x=\sqrt{3.4}=1.84m/s$

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

To learn more about Speed refer to:

brainly.com/question/4931057

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4 0

2 years ago

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?

lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

$Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3} (R)$

Height of cylinder (h) = (4/3)R

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3 years ago

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vredina [299]

Answer:

$m=\sqrt{2}$ inches

Step-by-step explanation:

From the diagram, it is given that the triangle is a right angle isosceles triangle (angles are 45°, 45° and 90°). This means that the two shorter sides of the triangle are equal in length and that the side $m$ can be found by using the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ .

$m^{2}+m^{2}=2^{2}$ (The two shorter sides of the triangle are equivalent)

$2m^{2}=4$

$m^{2}=2$

$m=\sqrt{2}$ inches

I hope this helps :)

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