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Mars2501 [29]
2 years ago
15

If you had a right triangle with legs measuring 40 yards and 100 yards long,

Mathematics
1 answer:
tia_tia [17]2 years ago
6 0

9514 1404 393

Answer:

  (c) 108 yd

Step-by-step explanation:

For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...

  c² = a² +b²

Solving for c, we have ...

  c = √(a² +b²)

  c = √(40² +100²) = √(1600 +10000) = √11600

  c ≈ 107.70 . . . . yards

The length of the hypotenuse is about 108 yards.

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Cole walked 2 1/2 kilometers on Monday. Isabella walked twice as many kilometers as coke. How many meters did cole and Isabella
QveST [7]

Answer:

  7500 meters

Step-by-step explanation:

Isabella walked 2 × 2.5 km = 5 km. Together, they walked ...

  2.5 km + 5 km = 7.5 km = 7.5×1000 m = 7500 m

Cole and Isabella walked 7500 meters altogether.

_____

"kilo-" is a prefix meaning "one thousand". So one kilometer is 1000 meters. Then 7.5 kilometers is 7.5 times 1000 meters, or 7500 meters.

8 0
3 years ago
A corner store is selling a 30 pack of water bottles for $7. What is the unit price of a water bottle?
Serggg [28]

Answer:

It should be 4.29 if I’m not mistaken.

Step-by-step explanation:

You can find the unit price by dividing 30 by 7.

8 0
3 years ago
Please help i’m so stuck i can’t do calc for the life of me
KATRIN_1 [288]

Answer:

-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}  is the answer. See steps below.

Step-by-step explanation:

\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}\\\\-3x^5+11x^4+33x^3-26x^2-36x-6\\\\\mathrm{and\:the\:divisor\:}x^3+6x^2-3x-5:\\\\\mathrm{Quotient}=\frac{-3x^5}{x^3}=-3x^2\\\\\mathrm{Multiply\:}x^3+6x^2-3x-5\mathrm{\:by\:}-3x^2\:\:\rightarrow\:\:-3x^5-18x^4+9x^3+15x^2\\\\\mathrm{Subtract\:}-3x^5-18x^4+9x^3+15x^2\mathrm{\:from\:}-3x^5+11x^4+33x^3-26x^2-36x-6\mathrm{\:to\:get\:new\:remainder}.\\\\\mathrm{Remainder}=29x^4+24x^3-41x^2-36x-6

=-3x^2+\frac{29x^4+24x^3-41x^2-36x-6}{x^3+6x^2-3x-5}

Repeat the steps and you will reach a point where no further division is possible.

<u />

<u />=-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}<u />

5 0
3 years ago
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
In which of the number lines does the plotted point represent a number greater than -1 1/2? Check all that apply.
Nikitich [7]

Hi!

The first number line is equals to -1\frac{1}{2}

The second number line is equals to \frac{-1}{2}

The third number line is equals to -2\frac{1}{2}

The fourth number line is equals to 2

The fifth number line is equals to 0

The sixth number line is -2\frac{3}{4}

The answer is; second, fourth and fifth number lines.

<em></em>

<em>I hope, I could help.</em>

<em>Wish Good Lessons! ^-^</em>

6 0
3 years ago
Read 2 more answers
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