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IceJOKER [234]
2 years ago
13

(a)The perimeter of a rectangular parking lot is 362m.

Mathematics
1 answer:
Anna007 [38]2 years ago
4 0

The width of the parking lot is 84 meters and the length of the pool is 82 meters

<h3>The width of the parking lot</h3>

The given parameters are:

Perimeter = 362 m

Length = 97 m

The width (w) is calculated as:

p =2 * (l +  w)

So, we have

2 * (97 + w) = 362

Divide by 2

(97 + w) = 181

Subtract 97

w = 84

Hence, the width of the parking lot is 84 meters

<h3>The length of the pool</h3>

The given parameters are:

Area = 4756 m^2

Width = 58 m

The length (l) is calculated as:

A = lw

So, we have

l * 58 = 4756

Divide by 58

l = 82

Hence, the length of the pool is 82 meters

Read more about perimeter and area at:

brainly.com/question/19819849

#SPJ1

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Answer:

50

Step-by-step explanation:

all angles must equal to 180

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number 1 is true

Step-by-step explanation:

8 0
3 years ago
You bought a bag of tamales and one of your friends ate 1/5 of the entire bag and another friend ate 1/3 of the whole bag. How m
Serggg [28]

Answer:

There is 7/15 left in the bag

Step-by-step explanation:

So, you need to find a common denominator between 3 and 5 which is 15

multiply the numerator and the denominator by 3 in 1/5. Then, multiply the numerator and the denominator by 5 in 1/3.

1/3*5=5/15

1/5*3=3/15

Add them together.

5/15+3/15=8/15

Lastly, subtract 15/15 by 8/15

15/15-8/15=7/15

3 0
3 years ago
The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The ci
Lemur [1.5K]

Answer:

Area = 101.4 cm^2 (3 S.F)

Step-by-step explanation:

Diameter of circle (D) = one side of the equilateral ∆

Circumference of the circle = πD = 48 cm

Thus:

πD = 48

Divide both sides by π

D = \frac{48}{\pi} = 15.3 cm (approximated to nearest tenth)

Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.

Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.

Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.

Thus:

Length of the two sides = 15.3 cm and

15.3 cm

Included angle = 60°

Use the following formula:

Area = \frac{1}{2}ab \times Sin(C)

Where,

a = 15.3 cm

b = 15.3 cm

C = 60°

Plug the values into the formula to find the area.

Area = \frac{1}{2} \times 15.3 \times  15.3 \times Sin(60)

Area = \frac{1 \times 15.3 \times  15.3 \times Sin(60)}{2}

Area = 101.4 cm^2 (3 S.F)

3 0
3 years ago
A pencil holder shaped like a triangular prism the height of the pencil is 12cm and the volume is 216cm what is the area of the
mamaluj [8]

Given that Volume of triangular prism = 216 cubic centimetre

Given that Height of the pencil = 12 centimetre

Now we have to find the area of the base of the prism means find the area of triangular part.


Volume of triangular prism is given by formula:

Volume of triangular prism = (Area of base) x (Height of the prism)


now plug the given values

216= (Area of the base) x 12

\frac{216}{12}= Area of the base

18= Area of the base


Hence final answer is 18 square centimetres.


3 0
3 years ago
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