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2 years ago

#3 i

Mathematics

1 answer:

klasskru [66]2 years ago

3 0

Answer:

77.74 square feet

Step-by-step explanation:

1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.

The formula for the area of a rectangle is height x width = area

So, 6.5 feet x 10.4 feet = 67.6 feet squared

The formula for the area of a triangle is height x width x (1/2) = area

So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared

Now, add the two areas together.

10.14 square feet + 67.6 square feet = 77.74 square feet

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(ASAP PICTURE ADDED) What is the simplified form of the following expression?

bonufazy [111]

Answer:

option c is correct.

Step-by-step explanation:

$7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)$

WE need to simplify this equation.

Solve the parenthesis of each term.

$=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right$

Now, We will find factors of the terms inside the square root

factors of 2: 2

factors of 16 : 2x2x2x2

factors of 8: 2x2x2

Putting these values in our equation: $=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)$

Adding like terms we get:

$=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\$

$(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)$

So, option c is correct

5 0

2 years ago

Read 2 more answers

3(6h+10) = 192<br> Solve h=

dmitriy555 [2]

Answer:

h=9

Step-by-step explanation:

18h+30=192

18h=162

h=9

3 0

2 years ago

Read 2 more answers

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every y

Aleks [24]

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

7 0

2 years ago

The diameter of a cylindrical water tank is 12ft , and its height is 14ft . What is the volume of the tank?

Luda [366]

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3 years ago

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sergiy2304 [10]

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2 years ago