Answer:
10.4feet
Step-by-step explanation:
The set up wil form a right triangle
Length of the ramp is the hypotenuse
The length of the end of the ramp from the base= 10 feet (adjacent)
Angle of elevation = 15 degrees
Required
Length of the ramp
Using SOH CAH TOA
Cos theta = adj/hyp
cos 15 = 10/L
L = 10/cos15
L = 10/0.9659
L = 10.35
L ≈ 10.4 feet
Hence the length of the ramp is 10.4feet
Answer
If I understand the problem correctly, It would be 95 inches squared although the number I got was 95.74, which would actually round to 96. What I think it is asking for is the surface area of the milk carton.
Bottom:
<em>length * width</em>
3 * 3 = 9
Rectangular Sides:
One side would be the length or width (which both equal 3) times the height (6.5), and there are 4 total sides.
<em>number of sides(length or width * height)</em>
4(3 * 6.5) = 4(19.5) = 78
Triangular Sides:
One side would be
* base (3) times height (1.5), and there are 2 triangular sides.
<em>2(1/2(base * height))</em>
2(1/2(3 * 1.5)) = 3 * 1.5 <em>(The 2 and the 1/2 cancel each other out)</em> = 4.5
The Roof-shaped Top Surfaces:
These are rectangles that you the width is equal to the length of the rectangular prism, and the length is equal to the one side of the triangle. You can find that length by using the Pythagorean theorem (
) which 1.5 is half of the base and the other 1.5 is the height. There are 2 of these rectangles making the final equation
≈ 4.24.
Now, add up each of the values:
9 + 78 + 4.5 + 4.24 = 95.74.
Comment if you see an error in my work.
Same as last time:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--1)^2+(-2-4)^2
d^2=7^2+(-6)^2
d^2=49+36
d^2=85
d=√85 (85=5*7 and both 5 and 7 are prime so √85 cannot be simplified any further)
The exact distance is √85 units.
See the explanation
<h2>
Explanation:</h2>
Hello! here we need to match the statements on the left-hand side to the reasons on the right-hand-side.
So this is as follows:
Statements: Reasons:
Segment Addition Postulate 
Substitute the given values 
Simplify 
Subtract 5x from both sides 
Divide both sides by 2 
Simplify 
Substitute 8 for x 
Simplify 
So what we did here is to find the measure of segment AC by finding the x-value first. In other words, we have proven that AC = 56 by following logical arguments organized in an structured manner.
<h2>Learn more:</h2>
Two-column proof: brainly.com/question/13338796
#LearnWithBrainly
This is how you do it.
y = a(x - 3)(x - 8)
<span>-2 = a(-1 - 3)(-1 - 8) </span>
<span>-2 = 36a </span>
<span>- 1 / 18 = a </span>
<span>y = ( - 1 / 18)(x^2 - 11x + 24) </span>
<span>y = (- 1 / 18)x^2 + (11 / 18)x - (3 / 2)
</span>
If this doesn't explain it enough, please, ask questions.