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Grace [21]
2 years ago
10

A computer moniter is solid by the diagonal length of the screen a computer monitor has a 15 inch screen the screen has a width

of 13 inches what is the height of the screen round your answer to the nearest tenth
Mathematics
1 answer:
n200080 [17]2 years ago
7 0
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)

A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle. 

When we plug in the numbers into the formula, we would get this:

13^2 + b^2 = 15^2

B is the unknown variable in which we are trying to find.
First, you square 13 and 15:

169 + b^2 = 225

Then, subtract 169 from both sides:

b^2 = 56

Finally, find the square root of both sides:

b = 7.483314774

Simplify to the nearest tenth, and the answer is 7.5<span />
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The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.
Olin [163]

Answer:

h = 5\ cm

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

h = B-5.

 The area of the triangle is 25 cm²

By definition the area of a triangle is:

A = 0.5Bh

For this triangle we know that A = 25\ cm^2 and h = B-5. We substitute these values in the equation and solve for B.

25 = 0.5B (B-5)

0.5B ^ 2-\frac{5}{2}B-25 = 0

Now we use the quadratic formula to solve the equation.

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

B=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:  a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25

Then:

B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}

B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}

B=\frac{5}{2}\±\frac{15}{2}

The solutions are:

B_1=\frac{5}{2}+\frac{15}{2}=10

B_2=\frac{5}{2}-\frac{15}{2}=-5

For this problem we take the positive solution.

B=10\ cm

Now we substitute the value of B in the equation to find the height h

h = 10-5

h = 5\ cm

6 0
3 years ago
Write a real world situation that can be represented by the expression x - 12 subtraction
Tju [1.3M]
Ed has $37 and decides that he wants to go out to lunch with his friend Barb. They go out to eat, and when it comes time to pay the bill they decide to split it. It will cost Ed $12 to pay his half. How much money will he have left after he pays his share?
3 0
2 years ago
Why is it incorrect to say that 5o percent heritability of intelligence means that the cause of your intelligence is 50 percent
pentagon [3]

Answer with explanation:

It is incorrect to say that 50% heritability of intelligence means that the cause of the intelligence is 50% genetic and 50% environmental.

<em><u>Because heritability accounts for variations among people, not in specific individuals which means that the cause is not 50% environmental or 50% genetic but rather based on variations among individuals</u></em>

8 0
3 years ago
What is an x and y intercept for 14x+y=140
DanielleElmas [232]
140 divided by 14 is 10. So x is 10. And Y is 140. 140 divided by y (1) =140
4 0
3 years ago
Herber read a total of 36pages in 2 hours. Later on, he read 90 pages in 5 hours. How many pages did Herber read each hour.
Lady_Fox [76]

Answer:

18 pages per hour.

If you do 36 (the pages/amount) divided by 2 (The time), you get 18.

To double check, when you do 90 (The pages/amount) divided by 5 ( The time), then you get 18 again.

Therefore the answer is 18 pages per hour.

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6 0
3 years ago
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