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Firlakuza [10]
3 years ago
9

what is the smallest number of degrees needed to rotate a regular pentagon around its center onto itself

Mathematics
1 answer:
Serhud [2]3 years ago
8 0
Since a pentagon has five identical sides, rotating it by (360 degrees/5) will result in the same image. 360/5=72 degrees
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​A triangle has one angle measuring degrees. A second angle measures
Rashid [163]

Answer:

Gus

Step-by-step explanation:

6 0
3 years ago
Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4
viva [34]

Answer:

f(x) = x^4/12 + 8x + 4

Step-by-step explanation:

f"(x) = x^2

Integrate both sides with respect to x

f'(x) = ∫ x^2 dx

= (x^2+1)/2+1

= (x^3)/3 + C

f(0) = 8

Put X = 0

f'(0) = 0+ C

8 = 0 + C

C= 8

f'(x) = x^3/3 + 8

Integrate f(x) again with respect to x

f(x) = ∫ (x^3 / 3 ) +8 dx

= ∫ x^3 / 3 dx + ∫8dx

= x^(3+1) / 3(3+1) + 8x + D

= x^4/12 + 8x + D

f(0) = 4

Put X = 0

f(0) = 0 + 0 + D

4 = D

Therefore

f(x) = x^4 /12 + 8x + 4

5 0
3 years ago
john collecrs cards. he collects 44 red, 67 blue cards, and 52 yellow. he puts 9 in protective sheets how many full sheets does
Kobotan [32]

Answer:

He has 18 full sheets.

Step-by-step explanation:

44 + 52 + 67 = 163

163/9 = 18.11

The question specifically asks for a whole number, not a decimal or fraction, so the answer is 18 full sheets.

8 0
3 years ago
A baseball has a 15 cm diameter what is the voulme of the contents of the ball
ddd [48]

Answer:

The answer is 1767.15cm^3

Step-by-step explanation:

The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.

So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.

Using the formula

4/3(π)(r^3)=(4π((15/2)^3))/3

=(4π(7.5^3)/3

=(4π(421.875))/3

Since π is 3.141592654

(4π(421.875))/3=1/3(4(3.141592654)(421.875))

=1/3(5301.437603)

=1767.145868

But I rounded off the answer to 2 decimal places and so I got 1767.14

7 0
3 years ago
WILL MAKE BRAINLYEST PLEASE SOME ONE ANSWER MY QUESTION PLEASETo write the best estimate for the following product in scientific
Agata [3.3K]

Answer:

2.9403x10^15

Step-by-step explanation:

plsss mark as brainliestt :)

4 0
3 years ago
Read 2 more answers
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