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Sidana [21]
3 years ago
8

I need help solving these equations....

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
6 is easy
7. never divide by a fraction, flip ot upside down and multiply, so multiply by 5 on both sides
8. subtract 3.45 on both sides
9. the answer is just 1
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If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

5 0
2 years ago
How to find lengths from hypotenuse
Phoenix [80]
Can you elaborate on the question??
3 0
3 years ago
Read 2 more answers
An engineer makes different-size samples of a new material.
miv72 [106K]

Answer:

The mass of 100 cubic centimeters of the material would be  

1,000 grams.

The mass of 500 cubic centimeters of the material would be  

5,000 grams.

Step-by-step explanation:

3 0
3 years ago
A radiator contains 15 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
Annette [7]
<span>%Antifreeze=<span><span>V<span>Antifreeze</span></span><span>V<span>Fluid</span></span></span></span> <span><span>V<span>Fluid</span></span>=<span><span>V<span>Antifreeze</span></span><span>%Antifreeze</span></span></span> <span><span>V<span>Antifreeze</span></span>=<span>V<span>fluid</span></span>∗%Antifreeze</span> I want to find the amount of antifreeze in a 15 quart solution with 30% antifreeze <span><span>V<span>Antifreeze</span></span>=15∗0.30</span> =18/4 quarts of antifreeze Similarly, I want to find the amount of antifreeze in a 15 quart solution with 35% antifreeze first. <span><span>V<span>Antifreeze</span></span>=15∗0.35</span> = 21/4 quarts of antifreeze


<span>the difference between 21/4 and 18/4 is 3/4 quarts, which is the amount of pure antifreeze I've added in.
</span><span>
SO the V_fluid I replaced with 3/4 quarts of antifreeze is (3/4)/ 0.35</span>


5 0
3 years ago
Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.
Brrunno [24]

Answer: 8 weeks

explanation: 125 + 15x = 245

You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.

6 0
3 years ago
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