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2 years ago

Instructions: Find the missing side of the triangle.

Mathematics

1 answer:

Marrrta [24]2 years ago

5 0

Answer:

100

Step-by-step explanation:

$30 + 50 + x = 180$

$80 + x = 180$

$x = 180 - 80$

$x = 100$

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how much money should I deposited today in an account that earns 5% compounded semiannually so that it will accumulate to 12,000

Nookie1986 [14]

800 or 2400 not sure which

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4 years ago

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

#learnwithBrainly

5 0

4 years ago

Is 7x2+4-2(7+3)

Bingel [31]

C order of operations

8 0

3 years ago

Read 2 more answers

Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = Sta

marishachu [46]

Answer:

1) m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = $-\frac{7}{4} - \frac{3}{4}$

Step-by-step explanation:

<u>The given equation is:</u>

=> $\frac{3}{4} +m = -\frac{7}{4}$

Subtracting 3/4 to both sides

=> m = $-\frac{7}{4} - \frac{3}{4}$

=> m = $\frac{-10}{4}$

=> m = $-\frac{5}{2}$

5 0

3 years ago

Read 2 more answers

What is 9b minus 3 over 9 equals 5b plus 5 over 3

Flura [38]

You reduce the fraction which would be 9b-1/3=5b+ 5/3
Then you move the variable to the left side and change its sign 9b-5b-1/3=5/3 then move the constant to the right side 9b-5b=5/3+1/3
Then collect the terms 4b= 5/3 + 1/3 add the fractions 4b = 2
Divide both sides of the equation which is b= 1/2

8 0

3 years ago