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Degger [83]
3 years ago
9

28 percent of 63 is what

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0
28% of 63 is 17.64.

You can rewrite the percent as 0.28 and multiply that by 63 because "of" means to multiply.

0.28*63=17.64
baherus [9]3 years ago
4 0
The answer is 17.64    

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Svetlanka [38]

Option a: 17.32 \ {m} is the length of b

Explanation:

The angle of B is \angle B=60^{\circ} and a=10 \ m

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

\angle A+\angle B+\angle C=180^{\circ}

\angle A+60^{\circ}+90^{\circ}=180^{\circ}

       \angle A+150^{\circ}=180^{\circ}

                   \angle A=30^{\circ}

Thus, the angle of A is \angle A=30^{\circ}

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

\frac{a}{\sin A}=\frac{b}{\sin B}

where a=10 \ m , \angle A=30^{\circ} , \angle B=60^{\circ}

Thus, we have,

\frac{10}{\sin 30}=\frac{b}{\sin 60}

Simplifying, we get,

\frac{10}{0.5}=\frac{b}{0.866}

Multiplying both sides by 0.866, we get,

\frac{10\times0.866}{0.5}=b

Multiplying the numerator, we have,

\frac{8.66}{0.5}=b

Dividing, we get,

17.32=b

Thus, the length of b is b=17.32 \ m

Hence, Option a is the correct answer.

7 0
3 years ago
meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the c
FinnZ [79.3K]

Answer:

$(x-h)^2+(y-k)^2= (r+ 40 )^2$  

Step-by-step explanation:

It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.

The origin of the radar screen is its center.

And the distance between each ring is 10 miles from the center.

So let :

r = radius

h and k = be the coordinates of the center.

So the equation of a circle is :

$(x-h)^2+(y-k)^2= r^2 $

Now the equation of the fourth circle when the radius changes by 10 miles is :

$(x-h)^2+(y-k)^2= (r+ 40 )^2$  

5 0
3 years ago
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. In y
bekas [8.4K]
F(x) = 2^x; h(x) = x^3 + x + 8

Table


x      f(x) =  2^x             h(x) = x^3 + x + 8

0      2^0 = 1                0  + 0 + 8 = 8

1     2^1 = 2                 1^3 + 1 + 8 = 10

2      2^2 = 4                2^3 + 2 + 8 = 8 + 2 + 8 = 18

3      2^3 = 8                3^3  + 3 + 8 = 27 + 3 + 8 = 38

4      2^2 = 16              4^3 + 4 + 8 = 76

10    2^10 = 1024       10^3  +10 + 8 = 1018

 9      2^9 =   512        9^3 + 9 + 8 = 729 + 9 + 8 = 746

Answer: an approximate value of 10
7 0
3 years ago
Bruce drove 360 miles in 6 hours. If he continues at a consistent speed, how many more hours would he need to drive another 300
Sedaia [141]

Answer:

5 hours

Step-by-step explanation:

If he drove 360 miles in 6 hours, that means he drives 60 miles per hour.

300 divided by 60 is 5, so he will need to drive for 5 more hours

5 0
3 years ago
Read 2 more answers
Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Sindrei [870]

Answer:

<u>f(g(x)) = 9x² + 15x + 2</u>

Step-by-step explanation:

  • f(x) = x² + 5x + 2
  • g(x) = 3x

<u>Solving f(g(x))</u>

  • f(g(x))
  • f(3x)
  • f(3x) = (3x)² + 5(3x) + 2
  • f(3x) = 9x² + 15x + 2
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8 0
2 years ago
Read 2 more answers
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