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4 years ago

20 is what percent of 50?

1 answer:

3 0

We can rephrase the question as "What percent of 50 is 20?".
"What percent ..." is an unknown. We'll use the variable x to represent this unknown.

The word 'of' in mathematics can mean 'multiply'. Likewise the word 'is' can mean 'equal'.

Now we have the phrase "20 equals to x times 50".

Or in an equation: 20 = x * 50

Solve for x.

20 = x * 50
$\frac{20}{50}$ = x <-- Divide both sides by 50

Simplify the fraction.

$\frac{20}{50} = \frac{2}{5}$

Convert the fraction into a decimal.

$\frac{2}{5}$ = 0.4

Convert the decimal into a percent.

0.4 = 40%

So, 40% is the answer.

You might be interested in

Find the tangent of both angle A and angle B. Ignore what the picture says the numbers are the same.

Elena-2011 [213]

For the angle A we have:
tan (A) = C.O / C.A
tan (A) = 10/24
Simplifying we have:
tan (A) = 5/12
For angle B we have:
tan (B) = C.O / C.A
tan (B) = 24/10
Simplifying we have:
tan (B) = 12/5
Answer:
The tangent of angles A and B is given by:
tan (A) = 5/12
tan (B) = 12/5

4 0

4 years ago

Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.

disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

$d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\$

So the perimeter is:

$Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units$

Using hero's formula,

$s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units$

Rounding off will give us 30 square units ..

4 0

3 years ago

What is 25/125 as a decimal?

Fed [463]

The answer is 0.2 when it is fully simplified

5 0

4 years ago

Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the tab

il63 [147K]

If the resulting coordinate is rotated 90° about the origin in the counterclockwise direction, the final coordinate will be at A'' = (-4, -7), B'' =(-5, -4), C'' = (-4, -3) and D'' =(-3, -4)

Given the coordinate of the vertices ABCD given as

A = (-5, 1)

B = (-2, 2)

C = (-1, 1)

D (-2, 0)

If the coordinates are translated by (x − 2, y + 3), the resulting coordinates will be at:

A' = (-5-2, 1+3) = (-7, 4)

B' = (-2-2, 2+3) = (-4, 5)

C' = (-1-2, 1+3) = (-3, 4)

D' (-2-2, 0+3) = (-4, 3)

If the resulting coordinate is rotated 90° about the origin in the counterclockwise direction, the final coordinate will be at (-y,x)

A'' = (-4, -7)

B'' =(-5, -4)

C'' = (-4, -3)

D'' =(-3, -4)

Learn more on translation here: brainly.com/question/12861087

3 0

2 years ago

Deltamath rate if change

Musya8 [376]

Answer:

do you mean "determine the rate of change " like how to find it ? you have to find slope between the two points on a graph or do you mean table ?

Step-by-step explanation:

hope this helpssss . brainliest ?

5 0

4 years ago