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3 years ago

What is the area of the composite figure? Card F

Mathematics

1 answer:

Mashcka [7]3 years ago

3 0

Answer:

total area is bottom rectangle area+ upper rectangle area + two triangles.

whole area.

(24x19) + (13x9) +(24x13) =885

area of trapezoid

whole area - bottom rectangle

885-(24x19) = 429

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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.

The Total Charge

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.

The Sum of the Rates

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

How do you graph y=6x-3

diamong [38]

y=6x-3

put a point on (0,-3) this is your y intercept

go up 6 and over 1 this should land you at (1,0) do this again and your at (2,6)

go back to the y intercept now go down 6 and over 1, this should land you (-1,-6)

continue to do this until you graph is filled

3 0

3 years ago

Nathan opens a new savings account and makes an initial deposit of $400.

AfilCa [17]

Answer:

The answer to the first one is 6

Step-by-step explanation:

If the time frame given is 9 months, then we can find that 9 months is 3/4 of a year. 3/4 x 2% = 0.015. 0.015 x 400 = 6. He would have made 6 dollars in 9 months.

Answer the the second one:

4.5% x 5 (years) = 0.225. 0.225 x 10,000 = 2,250. Since this is a car loan and not a bank interest for example, we add it to the total cost. I'm pretty sure its the third one.

6 0

3 years ago

Determine which postulate or theorem can be used to prove that

EleoNora [17]

Answer:

$\triangle ABC \cong \triangle DCB$ by AAS

Step-by-step explanation:

According to the following two triangles, $\triangle ABC$ and $\triangle DCB$ are congruent by Angle-Angle-Side (AAS), because there are two angles shown and share a side, which is in the middle between triangles.