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arlik [135]
2 years ago
14

Find the height of a trapezoid if b1= 2x + 1 and b2 = x+4 and the area = 3x2 + 5x Show all your work for full credit.

Mathematics
1 answer:
Advocard [28]2 years ago
5 0
A = 1/2 h (b1+b2)
so
h = 2A / (b1+b2)
h = [2(3x^2 + 5x)] / (2x + 1 + <span>x + 4)
h = (6x^2 + 10x)/(3x +5)
h = 2x(3x + 5)/(3x +5)
h = 2x

answer: </span><span>height of a trapezoid = 2x</span>
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Solve for the missing side length.
suter [353]
C=100.I used the Pythagorean theorem just in case next time you run into this problem. 

3 0
3 years ago
Read 2 more answers
find three numbers whose sum is 32 if the second is 1 more than the first and the first is 4 less than the third
Alex777 [14]
X+y+z=32
x=z-4
y=x+1
z=x+4
x+x+1+x+4=32
3x+5=32
3x=27
x=9
y=10
z=13

Hope this helps :)
7 0
2 years ago
I NEED HELP ASAP, THAK YOU IN ADVANCED
german

1. If Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

2A. If Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

If Sheryl works 9 hours she will make approximately 117 currency.

Step-by-step explanation:

Step 1:

To calculate how much Sheryl makes if she works 6.5 hours a day, we check the graph to see what the y value of the graph is when x =6.5.

When x =6.5, the line falls on y = 85.

So if Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

Step 2:

The two points on the graph are at (0, 0) and (1, 13).

This means that if Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

These two statements explain the two points on the graph.

Step 3:

To calculate how much Sheryl makes if she works 9 hours, we must create an equation that represents how much money she makes.

If she earns approximately 13 currency an hour, her wage is y = 13x, where x is the number of hours worked and y is the wage.

When x =9, y = 9(13) = 117.

So if Sheryl works 9 hours she will make approximately 117 currency.

5 0
3 years ago
Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.
Alona [7]

Answer:

x=\frac{90}{13} .

Step-by-step explanation:

\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;

30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);

15x+10x=12x+90; ⇔ 13x=90;

x=\frac{90}{13}.

8 0
2 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0
2 years ago
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