Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.

Answers

Answer 1

Answer:

64 units squared

Step-by-step explanation:

If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.

Related Questions

Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3, -9).

Answers

Answer:

(-0.5,-2.5)

Step-by-step explanation:

(x1 + x2) / 2 = x midpoint(y1 + y2) / 2 = y midpointX:

⇒ 2 + -3 = 5

⇒ 5 / 2 = -0.5

⇒ 4 + -9 = -5

⇒ -5 / 2 = -2.5

→ = (-0.5, -2.5)

Answer:

X = -0.5

Y = -2.5

Step-by-step explanation:

I found this by the forumla determine the X1 and X2 add the together then divide it by 2 for the value of X midpoint. Then add Y1 and Y2 and divide it by 2 together for the value of Y midpoint.

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?

Answers

Answer:

115.85

Step-by-step explanation:

Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 60% of the recent graduates annual salary exceeds $40000. Suppose you take a simple random sample of 51 recent graduates. Note: round all z scores to decimal places and all other numbers to 4 decimal places. Find the probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that:

60% of the recent graduates annual salary exceeds $40000, hence p = 0.6.A sample of 51 is taken, hence n = 51.

The mean and the standard error are given by:

[tex]\mu = p = 0.6[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.6(0.4)}{51}} = 0.0686[/tex]

The probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000 is the p-value of Z when X = 0.7, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.7 - 0.6}{0.0686}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a p-value of 0.9279.

0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

How many apples could you buy if you went to the store with five dollars?

Answers

Answer:5 apples

Step-by-step explanation:5x1=5

Write the perimeter of the triangle as a simplified expression.

Answers

[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]

Find the first three terms the described arithmetic series:

n=8

an= 36

a1=-6

Sn=120

Answers

Answer should be 1,3,5

Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)

Answers

Positive integer is the best because it just is

(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4

Answers

Answer:

Step-by-step explanation:

Given expression :

[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]

Solving :

A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]

Answer:

D [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]

Apply the Radical Product Rule [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :

[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]

Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :

[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]

Simplify:

[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

what are three expressions that are equivalent to 15+45

Answers

Answer:

40+20, 50+10, 46+14

Step-by-step explanation:

15+45=60 = 50+10=60 46+14=60

3(1.07)^18 can you please help??

Answers

the answer should be 10.13979682

Ello can you solve #14 ty

Answers

Answer:

(x, y, z) ≈ (30.375, 12.369, 13.915)

Step-by-step explanation:

You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.

27/24 = x/27

x = 27²/24 = 30.375 . . . . . . multiply by 27

Likewise, the ratio of short side to long side is the same for each:

y/24 = (30.375 -24)/y

y² = 24(6.375)

y = √153 ≈ 12.369

And the ratio of short side to hypotenuse is the same:

z/30.375 = 6.375/z

z² = 30.375×6.375 = 193.640625

z = √193.640625 ≈ 13.915

Find the area of a rectangle with a length of 11.2 inches and a height of 9.4 inches

show your work

Please help

Answers

11.2 x 9.4 = 105.28
Answer: 105.28 inches

Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. 5 Number of Hours Playing Sports 5 3 0 2 5 2. 6 2 3 4 3. 0 1 0 3 6. What is the mean of the sample in the third row? 0 2.2 2.8 O 3.0 0 3.4

Answers

Answer:

1.62857142857

Step-by-step explanation:

Im sure you can round to 1.6 or 1.62.

5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?

Answers

Vertex form would the most effective which is y=a(x-h)^2+k; (h,k) being the vertex. Which then give you y=a(x-4)+(-5)

Answer pls in fractions

Answers

Answer:

4/5 yd^3

Step-by-step explanation:

(2/3)(3/1)(2/5) = 12/15 = 4/5

Answer:

4/5 I believe?

Step-by-step explanation:

Multiply all the numbers together :)

Which inequality does the graph represent?

Answers

Answer:

The answer is

x < -1

Step-by-step explanation:

I hope it helps!

Here is the picture of the problem- Only 6th grade math

Answers

Answer:

h= 7/6 mm

Step-by-step explanation:

hello :

the area is : A= (b+B)×h/2

calculate h the height : 2A = (b+B)×h

so: h = 2A/(b+B)

you have : A=21/5 and b= 3 and B= 21/5

h= 2(21/5)/(3+21/5)

h= (42/5) /(36/5)

h= 42/36

h= 7/6 mm

2 1/8 - 1 1/4 can someon e help????

Answers

The answer would be: -0.125

Answer:7/8

Mixed number just do it

Please helpppp neeed doneeee asappp

Answers

Answer:

abnormal condition of sardines

Step-by-step explanation:

what?

solve pls brainliest

Answers

Answer: The answer is -15/7

Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.

HOPE THIS HELPED!

Answer:

-1 1/7 :)

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] x 3

[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]

[tex]-\frac{15}{7}[/tex]

Now lest simplify it!!

-1 [tex]\frac{1}{7}[/tex]

Hope this helps!!

Have a great day!!

Please rate and mark brainliest!!

In a survey of 250 voters, 3 out of 5 voters said they planned to vote for a proposed
new county library.
a) how many of these voters plan to vote for the library?
N
b) how many are not planning to vote for the library?

Answers

3/5 of 250 is 150, so 150 voters are planning to vote for the library and 100 are not.

4 9/10 X 1/4. {State your answer as a mixed number in simplest form.} State your answer as a mixed number in simplest form

Answers

Answer:

1 9/40

Step by step explanation:

\frac{49}{40}=1\frac{9}{40}

what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?

Answers

Answer:

ANSWER

1,14,21,28,35,42,42,35,28,21,14,7

Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.

Answers

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form [tex](x+2)^2-2[/tex].

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

[tex](x+2)^2-2+2^2[/tex]

[tex](x+2)^2-2[/tex]

Thus, [tex](x+2)^2-2[/tex] is the correct form.

Learn more about a quadratic equation here:

brainly.com/question/2263981

Math homework, thanks

Answers

Answer:

X=79

Step-by-step explanation:

180-135=45

45+56=101

180-101=79

50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)

Answers

Answer:

Step-by-step explanation:

1)1100=50x22

2)315=15x21

3)2120=40x53

4)170=10x17

5)242=22x11

please rate and mask as brainlest.

I WILL GIVE BRAINLIEST! PLEASE HELP ME!

Answers

needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.

now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.

well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.

if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.

What is the area of the following circle?

Answers

Answer:

Step-by-step explanation: A= π r²

π=3.14

4x4 = 16

so 3.14 x 16 =50.24

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in

Answers

Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²

How to calculate the total surface area of a rectangular prism

Length = 20 inwidth = 8 inHeight = 13 in

Total surface area = 2(lw + hw + lh)

= 2(20×8 + 13×8 + 20×13)

= 2(160 + 104 + 260)

= 2(524)

= 1,048 in²

Learn more about surface area:

https://brainly.com/question/1310421

Find the smallest number by which 6615 is to be multiplied by to get a perfect square

Answers

Answer:

3x 5

Step-by-step explanation:

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