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Fudgin [204]
2 years ago
8

The bases of a trapezoid have lengths 10 and 18. If the height of the trapezoid is 6, what is the area of the trapezoid

Mathematics
1 answer:
vladimir1956 [14]2 years ago
6 0

Answer:

84

Step-by-step explanation:

The bases of a trapezoid have lengths 10 and 18. If the height of the trapezoid is 6, what is the area of the trapezoid

The area of a trapezoid is given as:

1/2(b1 + b) × h

Where:

b1 = Base 1 = 10

b2= Base 2 = 18

h = Height = 6

Therefore, the area of a trapezoid =

1/2 (10 + 18) × 6

= 28/2 × 6

= 84

Therefore, the area of the trapezoid = 84

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Which of the following data could be graphed using a dot plot? Select all that apply.
Sphinxa [80]

Answer:

Time taken to complete a test.

-Number of cars in a -household.

-Number of siblings

Distance driven to school.

Step-by-step explanation:

Data used for a dot plot is relatively small data set where the values can fall into a number of categories/bins. Dot plots are used for univariate data where the variable is quantitative or categorical

5 0
3 years ago
Two mechanics worked on a car. The first mechanic worked for 15
nevsk [136]

Answer: For the sum of 130

First: $90

Second: $40

Step-by-step explanation:

We write equations for each part of this situation.

<u>The Total Charge</u>

Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.

<u>The Sum of the Rates</u>

Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.

We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.

For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.

15a + 5 (130-a)=1550

15a+650-5a=1550

10a+650-650=1550-650

10a=900

a=$90 was charged by the first mechanic.

We substitute to find the second mechanic's rate.

90+b=130

90-90+b=130-90

b= $40 was charged by the second mechanic

5 0
3 years ago
Evaluate x – 2y if x = –3 and y = –6.<br><br> 1. 15<br> 2. 9<br> 3. -9<br> 4. -15
max2010maxim [7]

Answer:

-15

Step-by-step explanation:

-3 - 2(-6)

-3 -12

-15

6 0
3 years ago
50 Points!!
____ [38]

Answer:

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2

8 0
3 years ago
The hypotenuse of a right triangle is four times the length of one of the legs. The length of the other leg is 1500⎯⎯⎯⎯⎯⎯⎯⎯√ fee
Mrac [35]

Answer:

Step-by-step explanation:

So this is just playing with the pythagorean theorem

a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.

Let's say a is equal to 1500 so then c is 4 times b

1500^2 + b^2 = (4b)^2  Now we just treat this like a normal algebraic expression

2,250,000 = 16b^2 - b^2

2,250,000 = 15b^2

150,000 = b^2

sqrt(150,000) = b

100sqrt(15) = b

You can check this now.

1500^2 + sqrt(150,000)^2 = c^2

sqrt(2,250,000 + 150,000) = c

sqrt(2,400,000) = c

400sqrt(15) = c Which fits the requirement of c = 4b

7 0
3 years ago
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