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pav-90 [236]
3 years ago
5

What does 1/4 X plus 3/4 equal

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:


Step-by-step explanation:

because the fractions have a common denominator you can add them

\frac{1}{4} x + \frac{3}{4} (x)= \frac{4}{4} x=1x\\\\

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from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height
maksim [4K]

Answer:

Take a look of the image below, we can think on this problem as a problem of two triangle rectangles.

We can see that both triangles share the adjacent cathetus, then the height of the flagpole is just the difference between the opposite cathetus.

Remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

So, if we define H as the height of the cliff

X as the distance between the observer and the cliff

and h as the height of the flagopole

we can write:

tan(40°) = H/X

tan(45°) = (H + h)/X

Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.

But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.

We want to find the value of h.

If we take the quotient between both equations, we get:

Tan(45°)/Tan(40°) = (H + h)/H

1.192 = (H + h)/H

1.192*H = H + h

1.192*H - H = h

0.192*H = h

So the height of the flagpole is 0.192 times the height of the cliff.

6 0
3 years ago
Based on the graph, how many students are represented? A) 100 students B) less than 150 C) less than 200 D) less than 300
kondor19780726 [428]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP ME JUST A LITTLE CONFUSED.
Usimov [2.4K]

The answer is

2(5x-6)≤x+24

3 0
3 years ago
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Y
Luda [366]

Answer:

T = 4.541

Step-by-step explanation:

We don't have the standard deviation for the population, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 4.541

6 0
3 years ago
You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000
Aneli [31]
The areas of the circle will represent the population, so:
Area = πr²

5² : 19,465,000
C² : 37,691,000

California circle radius = 6.96 cm

For Texas:
5² : 19,465,000
T² : 25,675,000

Texas circle radius = 5.74 cm
8 0
2 years ago
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