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skad [1K]
3 years ago
13

A population of bacteria is growing according

Mathematics
1 answer:
NISA [10]3 years ago
4 0

Answer:

13.4

Step-by-step explanation:

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Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
TEA [102]
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span>\frac{13}{sin90^o}= \frac{12}{sin \alpha }   \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}=  \frac{12*1}{13}  \approx 0.923 \ \ \to \ m\angle  \alpha \approx 67^o

In a triangle, the three interior angles always add to 180° ⇒

third angle = 180 - 90 - 67 = 23°

Answer:
67° and 23°  (to the nearest degree).
4 0
3 years ago
Read 2 more answers
The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store
tangare [24]

Answer: d(x)=-750x^2-3750x-10500


Step-by-step explanation:

Given: The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store, in dollars, where x represents the number of months from September.

d(x)=-750(x^2-5x-14)

To rewrite this hat reveals the store's opening inventory of down comforters in the month of September, multiply -750 on the bracket, we get

d(x)=-750x^2-3750x-10500

6 0
3 years ago
Read 2 more answers
If your navigator tells you your position is 0.7 nautical miles from the West Point light, how far is that in feet? And how far
Nataly_w [17]

Answer:

that would be 4253.28 feet

that would be 1296.4 m

Step-by-step explanation:

I think that's the answer and I hope it helps :)

8 0
3 years ago
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M’N’O’P’Q’.
N76 [4]
Answer:
slope of M'N' = 1

Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M 
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)

For point N':
x coordinate of N' = k * x coordinate of N 
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)

Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1

Hope this helps :)
8 0
3 years ago
A dog kennel uses 90 lb of dog food per day. How many pounds are used in a year?
Mariulka [41]
32850 pounds are used in a year.
5 0
3 years ago
Read 2 more answers
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