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CaHeK987 [17]
3 years ago
9

I need some help with this problem.

Mathematics
1 answer:
AnnZ [28]3 years ago
5 0
So we are dealing with a 30-60-90 triangle obviously. This is one of those triangles that always has the same ratio of their sides which means if you know one side length of a 30-60-90 you know all the sides.


I have attached a diagram of a 30-60-90 triangle below, we can use it to find the different sides
.

1. 2x =AB and x = BC, we know AB=14, since AB is two times as big as BC we know that BC = 7


2. Knowing BC equals 7 we can also say that x=7, since the diagram shows us AC = x times the square root of three we know that AC = 7 times the square root of 3.


3. If AB =16, 16 = 2x, and x=8, plug this into x times the square root of three to get AC, which equals 8 times the square root of three.


4. If AC equals 9 times the square root of three, we know that x=9. Side BC is simply x so BC = 9

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Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?
son4ous [18]

Answer:

44 Minutes

Step-by-step explanation:

If he takes for minutes per lap than some easy multiplication will do the job to find out how long 11 laps will take.

If he keeps running a lap in 4 minutes for every lap up, until the 11th lap, that means we multiply 11 times 4.

<em>Another example being, if I run 1 lap in 1 minute then if I ran 2 laps it would take me 2 minutes, because 1 times 2 is 2, and so fourth for each lap. So if I ran 11 laps it would take me 11 minutes because 11 times 1 is 11.</em>

3 0
3 years ago
The ratio of the sides of two similar octagons is 2:5. What is the ratio of the perimeters of these octagons?
Tom [10]
So we see the ratio of the sides of two similar octagons is 2:5 so let's say the first octagon has a side of 2 and the other has a side of 5. 2*8 = 16 and 5*8 = 40. 16:40 = 4:10 = and is again 2:5. So the answer is 2:5.
4 0
3 years ago
A six sided die has the colors: red, green, green, blue, pink and yellow. The die is rolled twice. What is the probability of tw
Ket [755]

Answer:

1/6

Step-by-step explanation:

The six sided die has a total of 6 possible outcomes with red being only one of them. Therefore, this means that in a single dice roll the probability of it being red would be 1/6. Since, the question asks the probability of at least one red outcome, the second roll can be anything. Therefore, the probability of the second roll would be 6/6 or 1 and if we multiply this by the probability of the first roll it would stay the same. Meaning that the probability of getting atleast one red outcome in two rolls would be 1/6

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3 years ago
Is the function represented by the table linear?
Gnom [1K]

Answer:

yes, because it does not have a constant rate of change

6 0
3 years ago
from a point on the ground 12ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53 degrees.
krek1111 [17]

Answer: the flagpole is 16 feet tall.

Step-by-step explanation:

A right angle triangle is formed.

The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.

To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 53 = h/12

h = 12Tan53 = 12 × 1.327

h = 16 feet to the nearest whole number

3 0
4 years ago
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