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2 years ago

Four out of 12 students like chicken better than steak. What percent prefer chicken

Mathematics

1 answer:

Sauron [17]2 years ago

3 0

Answer:

33.333...(%)

Step-by-step explanation:

4 divided by 12 gives you 0.333... (3 repeating)

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Please help I don’t know how to solve these... can anyone explain? I’m desperate

Elenna [48]

Answer:

1.) 16.5

2.) 24.2 ft

3.) 10.8 ft

Step-by-step explanation:

1.) So first you need to use Heron's formula

S = (A + B + C)/2

S = (17 + 17 + 8)/2

S = 21

Now

Area = $\sqrt{S(S - A)(S-B)(S-C)}$

$\sqrt{21(21-17)(21-17)(21-8)}$

So the Area is equal to 66.1

Now to find the height we use the Area of the triangle formula

A = 1/2 B*H

66.1 = 1/2(8) * H

66.1 = 4H

H = 16.525

So the height of the triangle is 16.5 units tall

2.) For this question you just use the Pythagorean theorem.

a² + b² = c²

So 22² + 8² = c²

484 + 64 = c²

548 = c²

$\sqrt{584}$ = c

c = 24.1660919472 ft

So the length of the wire is 24.2 ft long

3.) Again this is the Pythagorean theorem.

a² + b² = c²

So 10² + 4² = c²

100 + 16 = c²

116 = c²

$\sqrt{116}$ = c

c = 10.7703296143 ft

So the length of the banner is 10.8 ft long

7 0

2 years ago

A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of

Alchen [17]

We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is 5 feet.