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3 years ago

Yesterday Samantha went for a 55 minute long run and went 8 miles. If she wanted to run 20 miles, how long would it take her?

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

137.5 minutes.

Step-by-step explanation:

20/8 = 2.5

2.5 x 55 is 137.5

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Think of it as the perimeter of the circle

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Find the length of side s to the nearest tenth.

stepladder [879]

Answer:

10.3

Step-by-step explanation:

So first you get the angle of T which is 25 degrees

The you use the law of sine

$\frac{s}{Sin 119} =\frac{5}{Sin 25}$

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2 years ago

Find the solution of the system of equations.<br> 3x – 3y = 18<br> 3x – 8y = -2

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Answer:

x=10, y=4

Step-by-step explanation:

3x-3y=18

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3 years ago

When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.

Juliette [100K]

$x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0$

$Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution$

$x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \ 0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \ 0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \ 0$

$Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}$

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3 years ago

If a pyramid has a square base with side length s and height h, which formula represents the volume of the pyramid?

notsponge [240]

V = s^2(h/3)
is the formula....................<span />

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3 years ago

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