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3 years ago

Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of

Mathematics

1 answer:

harina [27]3 years ago

8 0

Answer:

$7:\dfrac{1}{3}=21$ pieces

Step-by-step explanation:

Suppose you have a 7 feet long wood.

You need to find how many $\frac{1}{3}$ -foot pieces can be cut from this wood.

To find this number of pieces, you have to divide the whole length of the wood by the length of one piece:

$7:\dfrac{1}{3}=\dfrac{7}{1}\cdot \dfrac{3}{1}=21$

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In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region

stich3 [128]

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

5 0

2 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Which of the following is equivalent to the expression:

Alecsey [184]

Selection A is correct

4 0

3 years ago

Which properties justify the steps taken to solve the system? {3x−2y=10 4x−3y=14

Alexeev081 [22]

The answer is: Substitution property of equality.

The explanation is shown below:

1. To solve this problem you must apply the proccedure shown below:

2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:

3x−2y=10
x=(10+2y)/3

4x−3y=14
4[(10+2y)/]−3y=14
 y=-2

3. When you subsitute y=-2 into the first equation and clear the x, you have:

x=2

7 0

3 years ago

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Is or is not -4 equal to 4 pls pls help me

Taya2010 [7]

Answer: No

Step-by-step explanation: There 2 different things

8 0

3 years ago

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