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3 years ago

X:y= 5:3 and x+y =56 workout the value of x-y

Mathematics

1 answer:

Julli [10]3 years ago

3 0

Answer:

x - y = 14

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide 56 by 8 to find the value of one part of the ratio.

56 ÷ 8 = 7 ← value of 1 part of the ratio, thus

x = 5 × 7 = 35

y = 3 × 7 = 21

Thus x - y = 35 - 21 = 14

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A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d

DedPeter [7]

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

$Hypotenuse^2=Short\ leg^2+Shortest\ leg^2$

$Hypotenuse^2=10^2+8^2$

$Hypotenuse^2=100+64\\Hypotenuse^2=164$

Taking square root both sides.

$\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles$

Thus, the distance of the helicopter from the bristol is approximately 12.81 miles

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4 years ago

In the first year of ownership, a new car can lose 20% of its value. If a car lost $4200 of value in the first year, how much di

Sever21 [200]

$5250
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4 years ago

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The weight of 10 identical samples of a substance is 0.01 pound. What is the weight of 1000 samples?

lys-0071 [83]

The weight would be 10 pounds

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3 years ago

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Gil aunt cut his birthday cake into 32 equal pieces. eighteen pieces were eaten at his birthday party.what fraction of the cake

klasskru [66]

Started out with 32/32. They ate 18/32, 32-18=14; 14/32. To simplify, 7/16 was left.

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3 years ago

A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp

Morgarella [4.7K]

Answer:

$y = 11 - 10cos(0.1\pi t)$

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

$y = h_g + d_b = h_g + R - d_c$ (1)

where $h_g = 1$ is vertical distance from the ground to the bottom of the wheel, $d_b$ is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, $d_c$ is the vertical distance of the person to the center of the wheel.

So solve for $d_c$ in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

$d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)$

Note that $d_c$ is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

$y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)$

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3 years ago