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mamaluj [8]
4 years ago
5

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he preimage?
A. 75°
B. 45°
C. 36°
D. 30°
Mathematics
2 answers:
Nikolay [14]4 years ago
6 0
ThE ANSWER IS d) 30 DEGREES
Andreas93 [3]4 years ago
3 0
D) 30

A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around

360/12=30
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Hong rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile dr
Goryan [66]

Answer: Hong drove the truck for 294 miles.

Step-by-step explanation:

Let m represent the number of miles for which he drove the truck.

There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. It means that the expression for the cost of driving the truck for m miles in a day is

20.95 + 0.9m

Hong had to pay $285.55 when he returned the truck. It means that

20.95 + 0.9m = 285.55

0.9m = 285.55 - 20.95

0.9m = 264.6

m = 264.6/0.9

m = 294 miles

5 0
3 years ago
A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for t
slamgirl [31]

In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.

\rm = 10 \times 2 = 20 \ bacteria

In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

\rm = 20 \times 2 = 40 \ bacteria

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

\rm = 40 \times 2 = 80 \ bacteria

In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

\rm = 80 \times 2 = 160 \ bacteria

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

\rm = 160 \times 2 = 320 \ bacteria

In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

\rm = 320 \times 2 = 640 \ bacteria

In 90 minutes 640 bacteria for the population to grow.

In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.

\rm = 640 \times 2 = 1280 \ bacteria

In 120 minutes 1280 bacteria for the population to grow.

Hence, In 90 minutes the population to grow to 700 organisms.

For more details refer to the link given below.

brainly.com/question/3188472

3 0
3 years ago
Read 2 more answers
HELP ME PLEASE I BEG YOU I REALLY NEED HELP !!!
oee [108]
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon. (which is the same as the number of sides). There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon ...
4 0
4 years ago
Read 2 more answers
The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among Predaceous Fishes on Out-Migra
sergey [27]

Answer:

The correct answer is f) none

Step-by-step explanation:

7 0
3 years ago
Im kind of confused on this practice problem
stich3 [128]

Answer:

v = 124 cm³

Step-by-step explanation:

The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,

v = a³

v = 4³

v = 64

Now, for the rectangular prism.

v = l · w · h

v = 10 · 3 · 2

v = 60

Now, for the total collective volume, simply add up the volumes of the independent shapes.

64 + 60 = 124 cm³

3 0
3 years ago
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