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grin007 [14]
3 years ago
9

Please help

Mathematics
2 answers:
blondinia [14]3 years ago
7 0

Answer:

D. 7200

Step-by-step explanation:

Hunter-Best [27]3 years ago
3 0

<u>Statement</u><u>:</u>

A softball field is a square with sides of length 60 feet.

<u>To </u><u>find</u><u> </u><u>out:</u>

The shortest distance between the first base and third base, i.e., the displacement

<u>Solution:</u>

  • Let us consider 1st base as A, Home Plate as B and 3rd base as C.
  • AB = 60 ft
  • BC = 60 ft.
  • To find out the shortest distance between the first base and third base we have to find out the value of AC.
  • In right triangle ABC,
  • (AB)² + (BC)² = (AC)² [By Pythagoras Theorem]
  • or, (AC)² = (60 ft)² + (60 ft)²
  • or, (AC)² = 3600 ft² + 3600 ft²
  • or, (AC)² = 7200 ft²
  • or, AC = √7200 ft
  • So, the shortest distance will be √7200 ft.

<u>Answer</u><u>:</u>

<u>D. √7200 ft</u>

Hope you could understand.

If you have any query, feel free to ask.

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Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negati
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The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)

<h3>What is simplification?</h3>

The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.

Now we have the original expression as;

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2 years ago
algerbra. com The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts
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Answer:

36 T-shirts and 12 Baseball Caps

Step-by-step explanation:

GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was \$5.00, and the profit on each cap was \$2.50.

TO FIND: If the students made a total profit of \$210, how many T-shirts and how many caps were sold.

SOLUTION:

Let the total number of T-shirts sold are =\text{t}

Let the total number of Baseball Caps sold are =\text{b}

Profit received on each T-shirt =\$5.00

Profit received on each Baseball Caps =\$2.50

Total profit received on T-shirts =\$5.00\text{t}

Total profit received on Baseball Caps =\$2.50\text{b}

5\text{t}+2.5\text{b}=210

Also,

The number of T-shirts sold was three times the number of caps.

        \text{t}=3\text{b}

putting in equation,

       5\times\text{3b}+2.5\text{b}=210

       17.5\text{b}=210

       \text{b}=12

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Hence total 36 t-shirts and 12 baseball Caps were sold.

     

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Answer:

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Note this, problem can be solved using f(n + 1) = f(n) + 8 by putting n = 3,4,5 as well but for learning concept of arithmetic series, i have used above process. Hope it helps.

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