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jekas [21]
3 years ago
13

Evaulate 10^2 + 6 multiplied by 7 + 8

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Evaluating 10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8 we get 1590

Step-by-step explanation:

We need to evaluate 10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8

Solving:

10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8\\=(10^2+6)\times(7+8)\\=(100+6)\times(15)\\=106\times15\\=1590

So, evaluating 10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8 we get 1590

Keywords: Solving the expressions

Learn more about Solving the expressions at:

  • brainly.com/question/5496711
  • brainly.com/question/2369634
  • brainly.com/question/5639299

#learnwithBrainly

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Step 1

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substitute the values

AB^{2}=5^{2}+12^{2}

AB^{2}=169

AB=13\ units

Step 2

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}

Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

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\frac{5}{13}=\frac{13}{AC}

solve for AC

AC=(13*13)/5=33.8\ units

Step 4

<u>Find the length of the segment DC</u>

we know that

DC=AC-AD

we have

AC=33.8\ units

AD=5\ units

substitute the values

DC=33.8\ units-5\ units

DC=28.8\ units

Step 5

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

we have

BD=12\ units\\DC=28.8\ units

substitute the values

BC^{2}=12^{2}+28.8^{2}

BC^{2}=973.44

BC=31.2\ units

therefore

<u>the answer is</u>

BC=31.2\ units

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