All categories

3 years ago

M is directly proportional to r2 When r=2, m=14 Work out the value of m when r=12

Mathematics

1 answer:

Genrish500 [490]3 years ago

8 0

we have M is durectly porpotional to r^2

so M=(k)r^2

and when r=2, m=14

so 14=(k)(2)^2

k=14/4 =7/2

so when r=12

m= (7/2)(12)^2 =(7/2)(144) = 504

You might be interested in

Which table represents a linear function?

Maslowich

Answer:

the third one

Step-by-step explanation:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference

6 0

3 years ago

Read 2 more answers

What is the value of d?

icang [17]

Answer:

d=5

Step-by-step explanation:

7 0

3 years ago

A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to

Aliun [14]

Answer:

$A=9.5\ ft^2$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

$A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}$

we have

$b=4\ ft$

Find the height of the right triangle applying the Pythagorean Theorem

$5^2=h^2+4^2$

$h^2=9\\h=3\ ft$

The radius of the semicircle is half the height of triangle

$r=3/2=1.5\ ft$

substitute in the formula

$A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}$

$A=6+3.5=9.5\ ft^2$

5 0

3 years ago

Read 2 more answers

Part A

ivann1987 [24]

The answer is, C
2x +3y=7.20
4x+2y=8.80

6 0

3 years ago

How do you calculate this?

Dmitry_Shevchenko [17]

$d = 5.6t {}^{2} \\ 1814.4 = 5.6 \times t {}^{2} \\ t {}^{2} = 1814.4 \div 5.6 \\ t {}^{2} = 324 \\ t = \sqrt{324} \\ t = 18$

7 0

3 years ago

Read 2 more answers