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Natali [406]
3 years ago
7

What is the area of the trapezoid? [A = 1/2(b1 + b2)h]

Mathematics
2 answers:
MatroZZZ [7]3 years ago
3 0

We can see that b1 = 18, b2 = 24, and h = 5

So, we can just substitute these in.

A = 1/2(18 + 24)5

A = 1/2 * 42 * 5

A = 21 * 5

A = 105

So, the answer is C. 105 sq cm

Anika [276]3 years ago
3 0

Answer:

105

Step-by-step explanation:

you just have to plug in your variables

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An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New Yo
Flauer [41]

Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the flight distance is partitioned in a ratio of 3:1, hence:

L - Nv = 3/4(Ny - Nv).

This ratio is applied for both coordinates, hence, for the x-coordinate:

x + 4 = \frac{3}/{4}(5 + 4)

x = \frac{27}{4} - \frac{16}{4}

x = \frac{11}{4}

x = 2.75.

For the y-coordinate:

y = \frac{3}/{4}(2 - 0)

y = \frac{6}{4}

x = 1.5.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
2 years ago
F(x)=2x+5 find f(-6)
ser-zykov [4K]

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

4 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
steposvetlana [31]

Answer:

m\angle E=58^o

Step-by-step explanation:

we know that

In the right triangle DEF

tan(E)=\frac{DF}{EF} ----> by TOA (opposite side divided by adjacent side)

tan(E)=\frac{8}{5}

m\angle E=tan^{-1}(\frac{8}{5})=58^o

5 0
2 years ago
Write the numbers in order from least to greatest<br><br> 1.3, 1 1/3, 1.34
Norma-Jean [14]

Answer:

1.3, 2 1/3, 1.34 is the order from least to greatest

7 0
3 years ago
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