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Harman [31]
2 years ago
10

A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as

the parallelogram. The length of the triangle’s base is 20cm.
What is the value when the triangle and the parallelogram have the same area?
Mathematics
1 answer:
LuckyWell [14K]2 years ago
4 0

The value of x when the triangle and the parallelogram have the same area is 6 units

<h3>The dimensions</h3>

The dimension of the parallelogram is given as:

  • Height = x
  • Base = 4 + x

The dimension of the triangle is given as:

  • Height = x
  • Base = 20

<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

Area = x (4 + x)

The area of the triangle is calculated as:

Area = 0.5 \times 20 \times x

Area = 10x

Both areas are equal.

So, we have:

x(4 + x) = 10x

Divide both sides by x

4 + x = 10

Subtract 4 from both sides

x =6

Hence, the value of x is 6 units

Read more about areas at:

brainly.com/question/2126265

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goldfiish [28.3K]

Answer:

1. 57       2. 81

Step-by-step explanation:

71x2=142   256-142=114/2= 57

5103/63= 81

5 0
3 years ago
Did i do this right?​
Amanda [17]

Answer:

yes

Step-by-step explanation:

3 0
2 years ago
Find the mean of the given values,29,42,45,39,36,41,38.What is the answer:39 40 35
nordsb [41]

Answer:

39 (the first option listed among the possible answers)

Step-by-step explanation:

Recall that the mean is the same as the average of the numbers you have listed, that is the addition of all divided by the number of entries you use:

mean = \frac{29+42+45+39+36+41+38}{7} =\frac{270}{7} =38.57

Therefore, rounding to the nearest integer, our answer s: 39

5 0
3 years ago
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Find the area.<br> 5.cm<br> 5 cm<br> 3 cm<br> 8 cm
Talja [164]

Answer: 600

Step-by-step explanation:

5x5=25

3x8=24

25x24=600

7 0
3 years ago
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Roughly estimate the volume of a tennis ball in cubic cm by using 6 cm for diameter and 3 for pi. round the answer to the neares
galben [10]

The volume of ball is 113.04 cubic centimeter

<em><u>Solution:</u></em>

Given that we have to find the volume of tennis ball

Since the ball is of sphere shape, we can use the sphere formula

<em><u>The volume of sphere is given by formula:</u></em>

V = \frac{4}{3} \times \pi \times r^3

Where, "V" is the volume and "r" is the radius

Given that,

Diameter = 6 cm

Therefore,

Radius = \frac{diameter}{2}\\\\Radius = \frac{6}{2}=3

<em><u>Substituting in formula, we get</u></em>

V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04

Thus volume of ball is 113.04 cubic centimeter

3 0
3 years ago
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