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beks73 [17]
3 years ago
6

The width of a rectangle is 3 feet less than it’s length. The perimeter of the rectangle is 98 feet. Find the dimensions of the

rectangle
Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

The length is 26 feet and the width is 23 feet

Step-by-step explanation:

Let l represent the length of the rectangle.

The width can be represented by l - 3, since it is 3 feet less than the length

Set up an equation:

l + l + (l - 3) + (l - 3) = 98

Add like terms and solve for l:

l + l + (l - 3) + (l - 3) = 98

4l - 6 = 98

4l = 104

l = 26

So, the length is 26 feet.

Since the width is l - 3, we can plug this in for l to find the width:

l - 3

26 - 3

= 23

So, the length is 26 feet and the width is 23 feet

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A cone has a height of 20 centimeters and a volume of 4,710 cubic centimeters. What is the area of the base of the cone?
olchik [2.2K]

Answer:

706.5 cm^2

Step-by-step explanation:

First we need to find the r to find the area of the base which is the circle so we use the volume to find r

V = 1/3πr^2h now adjust the equation for r

r = √3V/πh

r = √3(4710)/20π

r= 15

now that we have r, the base of cone is a circle so we use the area formula for circle

area  = πr²

area = 3.14 (15)^2

area of base = 706.5 cm^2

4 0
3 years ago
What is the slope of the points (-2,7) and (2,-5)?<br> 4<br> -3<br> -12<br> 3
Dafna1 [17]

Answer:

-3

Step-by-step explanation:

Slope is equal to (-5-7)/(2-(-2)=-12/4=-3

6 0
3 years ago
© y= 2x + 6<br> -3x - 5y= 22<br> Please help with substitution
umka21 [38]

Answer:

[2]    x = -5y - 4

// Plug this in for variable  x  in equation [1]

  [1]    2•(-5y-4) - 5y = 22

  [1]     - 15y = 30

// Solve equation [1] for the variable  y

  [1]    15y = - 30

  [1]    y = - 2

// By now we know this much :

   x = -5y-4

   y = -2

// Use the  y  value to solve for  x

   x = -5(-2)-4 = 6

Solution :

{x,y} = {6,-2}

  Processing ends successfully  

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Terms and Topics

Linear Equations with Two Unknowns

Solving Linear Equations by Substitution

Related Links

Algebra - Linear Systems with Two Variables

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Law of radicals
andrey2020 [161]

Answer:

1)  \sqrt{x^7}=x^{\frac{7}{2}

2)  \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}=z^\frac{9}{4}

Step-by-step explanation:

1) \sqrt{x^7}

We know that \sqrt{x}=x^{\frac{1}{2}

So, \sqrt{x^7}=x^{\frac{7}{2}

2) \sqrt[3]{y^5}

We know that \sqrt[3]{x}=x^{\frac{1}{3}

So, \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}

We know that \sqrt[5]{x}=x^{\frac{1}{5}

So, \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}

We know that \sqrt[4]{x}=x^{\frac{1}{4}

So, \sqrt[4]{z^{9}}=z^\frac{9}{4}

6 0
3 years ago
The original price of a skateboard was $25. New owners of the store raised the price to
Paha777 [63]
Answer:
D. 20%
Explain:
30-25=5
5/25= 20%
4 0
2 years ago
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