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Assoli18 [71]
3 years ago
7

24 is 80% of what number

Mathematics
2 answers:
loris [4]3 years ago
6 0
Write this as an equation and solve
.8x = 24 \\ x =  \frac{24}{.8}  = 30
The number is 30
Reptile [31]3 years ago
3 0
The number 24 is 80% of 30
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Write each number as a fractions with positive exponents.
boyakko [2]
You can't take away 6 from 2 but you can switch them and get 6-2 and that's =4 10-8=2 7-5=2
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4 years ago
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin ​
lesya [120]

Answer:(-8,-4)

Step-by-step explanation:

5 0
3 years ago
Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A
alekssr [168]

Answer:

\theta_{CAB}=128.316

\theta_{ABC}=25.842

\theta_{BCA}=25.842

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

AB= \sqrt{(-3-1)^2+(0-3)^2}=5

BC= \sqrt{(1-1)^2+(3-(-3))^2}=9

CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}

\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}

\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}

\theta_{CAB}=\arccos{-\dfrac{0.62}}

\theta_{CAB}=128.316

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}

\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)

\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)

\theta_{ABC}=\arcsin{0.4359}\right)

\theta_{ABC}=25.842

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

\theta_{BCA}=25.842

this can also be checked using the fact the sum of all angles inside a triangle is 180

\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180

25.842+128.316+25.842

180

6 0
3 years ago
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In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?
Nookie1986 [14]

Answer:

420

Step-by-step explanation:

If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.

4 0
3 years ago
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Round the quantity to th given place value 13.989 to the nearest tenth
Aliun [14]

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

3 0
2 years ago
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