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Rashid [163]
4 years ago
6

please please please please help what is the area of trapezoid ABCD enter your answer as a decimal or whole number do not round

at any steps help

Mathematics
1 answer:
ikadub [295]4 years ago
5 0

Answer:

A = 62.5

Step-by-step explanation:

I would break this up into two easier cases. the square at the top where three vertices are A,B, and C. and then the triangle for the rest of the area. we can use the distance formula to find the side length of the square.

sqrt((y2-y1)^2 + (x2-x1)^2)

sqrt((5-2)^2 + (-1-3)^2)

sqrt(3^2 + (-4)^2)

sqrt(9 + 16)

sqrt ( 25)

5

so the area of the square is 5^2 =25

now for the triangle. the formula for the area of a triangle is (1/2)bh.

so we can plug in our b=5, but we need to find h.

we use the distance formula between point A and D to find the distance to be 20, but we have to subtract the 5 we already counted in the area of the square. so the height is 15.

so The triangle has area (1/2)×5×15

37.5.

add the two areas together and we get our answer

25+37.5 = 62.5

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What is the range of the following set of data?<br> 4, 8, 3, 5, 5, 7, 6, 4
AfilCa [17]

Answer:

The range is 3

Step-by-step explanation:

The smallest number 5 subtracted from the largest number 8 is 3.

7 0
3 years ago
F a piece of ribbon is 4 and 3 over 4. feet long, how long is it in inches?
Lilit [14]
It is 57 inches long
8 0
3 years ago
Please answer this question urgent. I’ll<br> Mark brainliest.
scZoUnD [109]

Answer:

Answer 4, the bottom right answer

Step-by-step explanation:

Question was pretty blurry so I had to write it out:

The school Spanish Club is holding a car wash to raise $200 to attend a conference. After spending $10 on supplies, the club will was cars for donations of $4 each.

The situation can be modeled by the inequality 4z-10≥200, which has the solution z≥52.5. What is the best way to interpret this solution?

1. At least 53 members of the Spanish Club must volunteer to help at the car wash.

2. The Spanish Club should have spent at least $52.50 on supplies.

3. The Spanish Club needs $52.50 more to meet its goal.

4. The Spanish Club must wash at least 53 cars to meet its goal.

The answer would be 4, because the inequality is saying 4 dollars times the number of cars minus 10 dollars (for supplies) has to be greater than or equal to their goal of 200 dollars they want to raise.

Another way to explain: The 4z would represent how much money they would make for all the cars they wash, but they have to subtract 10 dollars for the supplies. This total has to be equal to or more than their goal of 200 dollars.

7 0
3 years ago
A new savings account is opened with 400 and gains 3% every year.what is the exponential function?
Marianna [84]

Answer:

Exponential function is:

y = 100 (1.03)ˣ

Step-by-step explanation:

We know that the exponential growth function is of the form

y = a (1 + r)ˣ

Here:

a = initial value

r = growth rate

x = number of time intervals that have passed

Given that A new savings account is opened with 400. Thus,

a = 400

Given that a new saving account gains 3% every year.

r = 3% = 0.03

now substituting a = 400 and r = 0.03 in the function

y = a (1 + r)ˣ

y = 100 (1 + 0.03)ˣ

y = 100 (1.03)ˣ

Therefore, exponential function is:

y = 100 (1.03)ˣ

<em>Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.</em>

7 0
3 years ago
The solution generated by the calculator is 5.779E–8. Describe how to interpret the solution.
Lostsunrise [7]

Answer:

5.779 x 10^-8 =0.00000005779

Step-by-step explanation:

The E-8 at the end means the number is multiplied by 10^-8.

So 5.779E-8=5.779 x 10^-8

A negative power means move the decimal place that many places to the left

So 5.779 x 10^-8 =0.00000005779

5 0
3 years ago
Read 2 more answers
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