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swat32
3 years ago
14

A trapezoid has an area of 400 square millimeters. The bases are 14 and 36 millimeters. What is the height of the trapezoid?

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0
400=h(14+36)
400=h50
400=50h
400/50
H=8
inysia [295]3 years ago
3 0
14+36+h=400
    50+h=400
   -50       -50
---------------------
            h=350mm
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Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4
zvonat [6]

Answer:

\sf y=-\dfrac12x+2

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12

Slope-intercept form of linear equation:  \sf y=mx+b

(where m is the slope and b is the y-intercept)

Given:

  • \sf m=-\dfrac12
  • b = 2

\sf \implies y=-\dfrac12x+2

3 0
2 years ago
A triangle is in the shape of a 30-60-90 right triangle. If the hypotenuse is 11 cm long, find the length of the shorter leg.
soldier1979 [14.2K]
A 30 60 90 triangle has its shorter side equal to one half the hypotenuse.
So, if hypotenuse = 11 cm then shorter side = 5.5.

Source:
http://www.1728.org/trig2.htm


6 0
3 years ago
I think the answer is A is this correct? thank you!
likoan [24]

Answer:

x^2 = a/b (option a)

Step-by-step explanation:

If we have square root at the top and bottom then we take single square root with fraction inside

To remove square root we take square on both sides because square and square root will get cancelled

x^2 = a/b is true

6 0
3 years ago
Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends.
Alik [6]

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

2p + 3d = 18.25

4p + 2d = 27.50

From this, we can use substitution or elimination to solve:

For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.

For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50

4p  + 2d = 27.50

-4d = -9.00

d = 2.25

4p + 2 * 2.25 = 27.50

4p + 4.50 = 27.50

4p = 23.00

p = 5.75

Now let's check our answer:

2 * 5.75 + 3 * 2.25 = 18.25

11.50 + 6.75 = 18.25

18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

7 0
2 years ago
Are there any integers between 0 and 1? explain?
Ulleksa [173]
No. there are no integers between 0 and 1 because integers are the numbers which don't have any fractions and decimals. between 0 and 1 only decimals and fractions are present
7 0
3 years ago
Read 2 more answers
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