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2 years ago

Find the solution to the equation 8n - 9 = 63.

Mathematics

2 answers:

suter [353]2 years ago

8 0

Answer:

Step-by-step explanation:

63+9=72

72/8=9

hope this helped

Vladimir [108]2 years ago

5 0

Answer:

$8n - 9 = 63 \\ 63 + 9 = 8n \\ 72 \div 8 = n \\ n = 9$

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The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

Vesnalui [34]

$\sf\huge\underline{\star Solution:-}$

<h3><u>Given that</u>:</h3>

Hypotenuse of a right triangle = $\sf\blue{16cm.}$
One side (leg) = $\sf\blue{9cm.}$

Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

$\rightarrow$ As we know that,

$\sf{A^2 +B^2 \:=\: C^2}$ (Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

$\rightarrow$ $\sf{A^2 +B^2 \:=\: C^2}$ (putting the value of both given side of triangle)

Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

$\rightarrow$ $\sf{9^2 +B^2 \:=\: 16^2}$

$\rightarrow$ $\sf{81 +B^2 \:=\: 256}$

$\rightarrow$ $\sf{B^2 \:=\: 256-81}$

$\rightarrow$ $\sf{B^2 \:=\: 175}$

$\rightarrow$ $\sf{B \:=\: \sqrt{175}}$

$\rightarrow$ $\sf{B\:=\: 13.22(approx)}$

Therefore, measure of another side (leg) of the triangle = $\sf\purple{ 13.22(approx).}$

____________________________________

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