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PIT_PIT [208]
2 years ago
8

You can make a tent by throwing a piece of cloth over a clothesline, then securing the edge to the ground with stakes so that an

isosceles triangle is formed. How long would the cloth have to be so that the opening of the tent was 8 feet wide and 3 feet high?
Mathematics
1 answer:
4vir4ik [10]2 years ago
8 0

Based on the required width and height of the tent, the length of the cloth would have to be 14.4 ft.

<h3>How long should the length of the cloth be?</h3>

The opening of the tent would be an isosceles triangle but if it is divided in two from the top, a right-angled triangle will be formed and the hypotenuse will be the length of the cloth on one side.

That length - according to the Pythagoras theorem - would be:

= √(6² + (8 /2)²)

= √(36 + 16)

= 7.2 ft

As this is the length of one side of the cloth, the length of the entire cloth is:

= 7.2 x 2

= 14.4 ft

Find out more on the Pythagoras theorem at brainly.com/question/343682.

#SPJ1

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a bowl of grapes has a total massif 265 grams. the bowl has a mass of 121 grams. what is the mass of the grapes
sveticcg [70]

Answer:

144 grams

Step-by-step explanation:

the total mass of the bowl of grapes includes the bowl. to get the mass of the grapes, we need to subtract the mass of the bowl. 265 grams - 121 grams is 144 grams.

7 0
2 years ago
Which points define the solution set
Lemur [1.5K]

There is a line and a parabola in the graph.

So, we will get the solution set from the point of intersection of both line and parabola.

Notice that the parabola and the line intersecting at two points E(1, 5) and C(-0.5,2).

So, the solution set is E(1, 5) and C(-0.5,2).

8 0
3 years ago
QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

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slope = 1

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