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Black_prince [1.1K]
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:
Alex3 years ago
4 0
One rotation has 360 degrees. Since regular Pentagon has 5 sides and each of them takes 360/5=72 degrees when looked from center, if we rotate regular Pentagon by 72 degrees we will get same shape as we started from.

Therefore answer is 72 degrees.
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Company A is offering $6,000 for the first month's salary and will increase the amount each month by $5,000. Company B is offeri
Alex17521 [72]

The month in which Company B's payment will first exceed Company A's payment is C) Month 7.

Step-by-step explanation:

Step 1:

Company A offers $6,000 for the first month and increases the salary each month by $5,000.

Company B offers $700 for the first month but doubles the payments each month.

We need to determine which month company B's payment is greater than company A's payment.

Step 2:

According to the table, at month 6 company A pays $31,000 while company B pays $22,400.

However after this month, in the seventh-month company A pays $36,000 while company B pays $44,800, which is higher than company A's salary.

So The month in which Company B's payment will first exceed Company A's payment is C) Month 7.

4 0
3 years ago
Find the equation of the quadratic function with vertex (– 2, – 6) that goes through the point (-4, -18)
torisob [31]

Answer:

y = -3(x+2)^2 - 6

Step-by-step explanation:

y = a(x+2)^2 -6

-18 = a(-2)^2 - 6

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y = -3(x+2)^2 - 6

3 0
2 years ago
For her college fund jenny's parents invested $5000 four years ago. the account has now reached $6312. what is the approximate a
Tasya [4]

Answer:

Rate = 6.56%

Step-by-step explanation:

Principal (P) = $5000

Interest (I) = $6312

Time (T) = 4 years

Rate (r) = ?

This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.

S.I = P(1 + rt)

S.I = simple interest

P = principal

R = Rate

T = Time

6312 = 5000(1 + r*4)

6312 = 5000 + 5000*4r

6312 - 5000 = 20000r

1312 = 20000r

r = 1312 / 20000

r = 0.0656

Rate are calculated in percentage hence we'll multiply it by 100

R = 6.56%

4 0
3 years ago
How do I simplify an expression
Sladkaya [172]
Start with parentheses first
Afterwards do exponents
Next do either multiplication or division (L to R)
Then Addition and Subtraction (L to R)
__________________________________________
Then solve to find your answer
7 0
3 years ago
Read 2 more answers
Sebastian and his two brothers read and equal amount each week very for a combined total of 135 minutes each week, very the same
ipn [44]

Answer:

270 minutes per boy.

Step-by-step explanation:

45 mins each week

multiplies by 6

3 0
3 years ago
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