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3 years ago

Round your answer to two decimal places.

Mathematics

1 answer:

Zarrin [17]3 years ago

3 0

Haha is tlsbehejjdnfjnrjrnjrnrjfndjjdhdjd

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Find an angle in each quadrant with a common reference angle with 150°, from<br> 0°<0<360°

balu736 [363]

$150^{\circ}$ has a reference angle of 30 degrees.

Quadrant I: 30 degrees
Quadrant II: 150 degrees
Quadrant III: 210 degrees
Quadrant IV: 330 degrees

5 0

2 years ago

Let n be an odd integer with exactly 11 positive divisors. Find the number of positive divisors of 8n^3

Tom [10]

Answer: 124

Step-by-step explanation:

As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.

We know this product is equal to 11.

Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be $n=p^{10}$ , where p is a prime number.

We take a cube of the prime factorization of n to give us a prime factorization for $n^3$

$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$

We see that $n^{3}\text{ has }$30+1=31$$ positive divisors.

Now, $8n^3=2^3\times p^{30}$

Totald divisiors = $(3+1)(30+1)=4\times31=124$

Hence, the number of positive divisors of $8n^3=124$

4 0

3 years ago

There were 25 students in an Algebra class. If the number of girls is 10 more than half the number of boys, how many boys were i

Ilya [14]

There are 25 students.

Let g = girls, and b = boys

g = 1/2b + 10

g + b = 25

Plug in 1/2b + 10 for g

(1/2b + 10) + b = 25

3/2b + 10 = 25

isolate the b, subtract 10 from both sides, and then multiply by 2/3

3/2b + 10 (-10) = 25 (-10)

3/2b = 15

(3/2b)/(2/3) = 15(2/3)
b = 30/3
b = 10

Subtract 10 from 25 to get the number of girls

25 - 10 = 15

g = 15

There are 10 boys in the class.

hope this helps

5 0

3 years ago

Find the surface area of a square pyramid. round yo ur answer to the nearest hundredth

Aleonysh [2.5K]

Answer:

A=a^2+2a√(a2/4+h^2)

Step-by-step explanation:

a Base edge

h Height

Since there are no values you'll need to put them in yourself.

5 0

3 years ago

Someone help me with this

Ivanshal [37]

Answer:

-30 is the right one if u need help tell me ;)-

Step-by-step explanation:

3 0

3 years ago