All categories

3 years ago

(ASAP LOTS OF POINTS)

Mathematics

1 answer:

shusha [124]3 years ago

5 0

Answer:

52 inches by 29 inches

Step-by-step explanation:

Let one side by 16x and the other side be 9x

We know the diameter is 60 inches

Using the Pythagorean theorem

a^2 + b^2 = c^2

(16x) ^2 + ( 9x) ^2 = 60 ^2

256 x^2 + 81x^2 = 3600

Combine like terms

337 x^2 = 3600

Divide each side by 337

337x^2 /337 = 3600/337

x^2 =10.68249258

Take the square root of each side

sqrt(x^2) =sqrt(10.68249258)

x =3.268408264

The sides are 16x by 9x

16*(3.268408264) =52.29453223 or 52

9 *(3.268408264)= 29.41567438 or 29

You might be interested in

Jesus, is it, a, b, c, or d??

serg [7]

Answer: A is the answer!

7 0

3 years ago

Without using a calculator, order the following numbers from least to greatest

SpyIntel [72]

The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10

8 0

3 years ago

What is the sum of the geometric series

Sergio039 [100]

Answer: 2343 / 256

Explanation

I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.

1) Adding the terms:

4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0

= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =

= 2343 / 256

2) Using the formula:

n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0

Here n - 1 = 4 => n = 5

r = 3/4

A = 3

Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =

= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =

= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256

So, no doubt, the answer is 2343 / 256

5 0

3 years ago

identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Svetach [21]

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

6 0

3 years ago

A right cylinder has a height of 20 1/2ft and a diameter of 1 1/5 times it's height what is the volume of the cylinder? Use 3.14

anygoal [31]

Volume (V) of a cylinder is the area of circular base (pi×r^2) times it's length/height (h):
$V = \pi {r}^{2} (h) \: \: \pi = 3.14$
h = 20.5 ft
diameter (d) = 1 1/5 × h, 1 1/5 = 6/5 = 1.20
d = 1.20 × 20.5 = 24.6 ft
radius (r) = 1/2 d = 24.6/2 = 12.3 ft
$V = \pi {r}^{2} (h) \\ V = 3.14 ({12.3}^{2}) (20.5) \\ V = 3.14 (151.29) (20.5) \\ V = 475.05 (20.5) = 9738.54 \: {ft}^{3}$

4 0

3 years ago