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Karolina [17]
3 years ago
14

How do you do this? please help me

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = \frac{1}{2} (Base)(Height)

<u><em>Where Area = 12 cm², Base = 4 cm</em></u>

12 = \frac{1}{2}(4)(Height)

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, <u><em>AD is parallel and equal to BC</em></u>(f)<u><em></em></u>

So,

f = 10 cm

<u><em>Now, Finding g</em></u>

Area of ABCD = Base * Height

<u><em>Where Area = 48 cm², Base = 10 cm</em></u>

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

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20 subtracted from three times a number is 6 more than the number
kompoz [17]
<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>

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

<em><u>Given statement is:</u></em>

20 subtracted from three times a number is 6 more than the number

We can translate the sentence into algebraic expression

Let "a" be the unknown number

Then,

20 subtracted from three times "a" is 6 more than "a"

Which means,

3a - 20 = 6 + a

3a - a = 6 + 20

2a = 26

Divide both sides by 2

a = 13

Thus the number is 13

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The height of a cone is twice the radius of its base. A cone has a height of 2 x and a radius of x. What expression represents t
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Answer:

Let's Find it!

Step-by-step explanation:

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V=\pi r^{2} \frac{h}{4} \\V=\pi *x^{2} *\frac{1}{2} x\\V=\frac{1}{2} \pi x^{3}

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Answer:

Step-by-step explanation:

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The difference of the square of a number and 28 is equal to 3 times that number. Find the negative solution.
Talja [164]

Answer: -4

Step-by-step explanation:

3 times that number→3x

Difference of the square of a number and 28→x^2-28

x^2 −28= 3x

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x^2-3x-28=0

(x-7)(x+4)=0

x-7=0

x+4=0

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{Negative Solution: }-4

Negative Solution: −4

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