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BigorU [14]
3 years ago
7

A circle has a diameter of 24 ft. What is its circumference?

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

Answer:

The circumference would be 12*3.14/2=18.84

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Peggy had three times as many quarters and nickels. she had $1.60 in all. How many nickels and how many quarters did she have?
makvit [3.9K]
If she has 3 times as many quarters as nickels, and nickels are represented by n, you would multiply n by three to get your answer, so your answer is 3n, or D.
3 0
3 years ago
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What is the length of the hypotenuse?
ch4aika [34]

Answer:

55.866 ft

Step-by-step explanation:

Use Pythagorean Theorem:

a² + b² = c²

(39)² + (40)² = c²

3121 = c²

Square root of both sides

c = 55.866 ft should be the answer.

Hope this helps

6 0
2 years ago
Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +
Andrei [34K]
Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x + (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
\sqrt{( x + 1 )^2} = \sqrt{9}
x + 1 = + 3 or x + 1 = - 3
    x = 2     or     x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + (\frac{6}{2})^2 = 16 +  (\frac{6}{2})^2 
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
\sqrt{(x-3)^2} =  \sqrt{25}
x - 3 = + 5 or x - 3 = - 5
   x = 8      or       x = - 2

8. x² - 18x = 19

x² - 18x + ( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
\sqrt{(x-9)^2} =  \sqrt{100}
x - 9 = + 10 or x - 9 = -10
   x = 19      or      x = - 1

9. x² + 3x = 3

x² + 3x + ( \frac{3}{2} )^2 = 3 +  (\frac{3}{2} )
x^2 + 3x +  \frac{9}{4} = 3 +  \frac{9}{4}
x^{2} + 3x +  \frac{9}{4} =  \frac{21}{4}
(x^2 +  \frac{3}{2} ) ( x^2 +  \frac{3}{2} ) =  \frac{21}{4}
( x^2 + \frac{3}{2} )^2 =  \frac{21}{4}
\sqrt{ x^2 + \frac{3}{2} } =  \sqrt{ \frac{21}{4} } 
x +  \frac{3}{2} = + \frac{ \sqrt{21} }{2} or x +\frac{3}{2} = -  \frac{ \sqrt{21} }{2}
x = \frac{-3+ \sqrt{21} }{2} or x = \frac{-3 - \sqrt{21}}{2}


7 0
3 years ago
What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3
lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

V=5,676.16\ cm^3

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

V=(Area\ of\ base)\times (length)

Here, the base is triangular and the area of a triangle is:

A=\frac{1}{2}base \times height

Therefore,  the volume of the triangular prism is given as:

V=\frac{1}{2}(base\times height\times length)

Now, plug in the given values and solve for the volume 'V'.

V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3

Therefore, the correct answer is the third option.

V=5,676.16\ cm^3

7 0
3 years ago
Read 2 more answers
Solve this equation. Enter your answer in the box.<br> 13(y+7)=3(y−1).
Fofino [41]

★To Solve :

\rm\blue{13(y+7) = 3(y-1)}

⠀⠀⠀⠀⠀

★SOLUTION :

\rm\red\leadsto{13(y+7) = 3(y-1)}

\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}

\rm\red\leadsto{13y+91=3y-3}

\rm\red\leadsto{13y-3y=-3-91}

\rm\red\leadsto{10y=-94}

\rm\red\leadsto{} y =\dfrac{   { \cancel{-94}}^{ \:-45 } }{   { \cancel{10}}^{ \: 5} }

\rm\red\leadsto{y=}\dfrac{-47}{5}

____________________

5 0
3 years ago
Read 2 more answers
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