a section in a stained glass window is shaped like a trapezoid. the top base is 4 centimeters and the bottom base is 2.5 centimeters long. if the area of the section of glass is 3.9 square centimeters. how tall is the section

Answers

Answer 1
Answer: Hello, so the equation for the area of a trapezoid is                                      A = (a+b)*(h/2)             

In which, a is one of the bases, b is the other base, and h is the height. A is the Area. If you wanna solve for height, rearrange the equation to what h equals.

First divide (a+b) from both sides
A/(a+b) = h/2  

Now multiply 2 on both sides

2(A/(a+b)) = h

Now you have it rearranged equal to just h. Plug in the values now.

2(3.9/(4+2.5)) = h

2(3.9/(6.5)) = h

2(.6) = h

1.2 = h

The section is 1.2 centimeters tall.your welcome

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What is 3/4ths hours equal to?

Answers

45 minutes. Hope this helps!

A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?A) 12 gallons of the 12%, and 8 gallons of the 7%
B) 10 gallons of the 12% and 10 gallons of the 7%
C) 8 gallons of the 12% and 12 gallons of the 7%
D) 2 gallons of the 12% ad 18 gallons of the 7%

Answers

Answer: 12 gallon of 12% sugar and 8 gallon of 7% sugar.

Step-by-step explanation:

Let we use x gallon of 12% of sugar mixture and y gallon of 7% of sugar mixture.

Thus, According to the question,

The resultant mixture having quantity 20 gallon,

Therefore, x + y = 20 ------(1)

Also, Sugar in x gallon mixture + sugar in y gallon mixture = sugar in  resultant mixture.

Again according to the question,

Resultant mixture has 10% of sugar.

Therefore, 12% of sugar in x gallon + 7% sugar in y gallon = 10% sugar in 20 gallon

0.12 x + 0.07 y = 0.2

12 x + 7 y = 200  --------(2)

7× equation (1),

We get, 7x + 7y = 140 -----(3)

Equation(1) - equation (3)

5 x = 60

x = 12

By putting the value of x in equation (1),

12 + y = 20

y = 8

Thus, He will add 12 gallon of 12% sugar mixture and 8 gallon of 7% sugar mixture for obtaining 20 gallon of 10% sugar mixture.

Therefore, First Option is correct.






10% of 20 is 2
12 × 0.12 (this is 12%) = 1.44
8 × 0.07 (this is 7%) = 0.56
1.44 + 0.56 = 2.00

Therefore, the correct answer is A.

Please help me solve all of these for M and B.1) Y=10/3x+19
2) Y=-2/7x+2
3) Y=-5/6x-18
4) Y=5/6x-18
5) Y= 6/5+27
6) Y= 2/7x+2


Please and thank you!

Answers

Answer:

In number 1:

m = 10/3

b = 19

Step-by-step explanation:

To find the answers to these, simply look to the coefficient of x and the constant at the end of the equation. The number attached to x is always m (which is known as the slope). The number at the end is b (or the y-intercept).

Which of the following statements are true regarding functions? *Check all that applyA. The horizontal line test may be used to determine whether a function is one-to-one.

B. A function is a relation in which each value of the input variable is paired with exactly one value of the output variable.

C. The vertical line test may be used to determine whether a function is one-to-one.

D. A sequence is a function whose domain is the set of real numbers.

Answers

Answer: A and B.

C. FALSE, because the vertical line test may be used to determine whether a relation is the function.

D. FALSE, because the function domain can be any set.

Answer:

It's A and B bbbbb bbb bbb bbb  a  a a  a a aa a a a a a aa a aaaaaaaaaaaa  a  ababbababbababbababba aba ab baba ab ba babb abba ba ba b ab ab bab abab ab ab ab ab ab aba ba ba ab

What is the equation of a line passing through (3, 4) and having a slope of -5?y = 5x + 19
y = -5x + 11
y = -5x + 19

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11 is that it i hope it helps

Factor 3d^2 - d - 24

Answers

Using the AC method for factoring.....

you should get the answer of...

(3d+8)(d-3)