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Gwar [14]
3 years ago
12

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimet

ers. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters. What is the area of the composite figure? 70 cm2 100 cm2 105 cm2 130 cm2
Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

Answer:

D. 100 cm^2

Step-by-step explanation:

i did this before so ik im right

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How to factor 25x^2 - 81= 0
dalvyx [7]
Your question is a difference of squares. both terms that need to be factored are squared. to solve take the square root of each put into two terms one of addition and one of subtraction.

anwser= (5x-9)(5x+9)

the reason this works is because when you foil you get
25x²-45x+45x-81 
the middle terms cancel revealing
25x²-81
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Geometry: Solve for X
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6) x= 2, angle = 90 degrees obviously
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Complete the point slope equation of the line through (-5, 7) and (-4, 0).​
IgorLugansk [536]

For this case we have that by definition, the point-slope equation of a line is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

(x_ {1}, y_ {1}): (- 5,7)\\(x_ {2}, y_ {2}): (- 4,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} =  \frac {0-7} {- 4 - (- 5)} = \frac {-7} {-4 + 5} = \frac {-7} {1} = - 7

Thus, the equation is of the form:

y = -7x + b

We substitute one of the points and find "b":

0 = -7 (-4) + b\\0 = 28 + b\\b = -28

Finally, the equation is:

y = -7x-28

Answer:

y = -7x-28

5 0
4 years ago
1. Nicole usually scores between 89%
REY [17]

Answer:

The Answer is: B. 79% and 89%

Step-by-step explanation:

Subtract 11% from 89 and 100 to get the range:

89 - (89*.11) =

89 - 9.79 = 79.21

100 - (100*.11) =

100 - 11 = 89

8 0
3 years ago
Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer
8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, <u>Probability of any event</u>  =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

<u>Now, Probability that the first vehicle selected is a motorcycle is given by;</u>

                   =  \frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, <em>Probability that the first vehicle selected is a motorcycle</em> =  \frac{16}{34}

<u>Similarly, Probability that the second vehicle is a van is given by;</u>

              =   \frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So,<em> Probability that the second vehicle selected is a van</em> =  \frac{9}{33}

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van  =  \frac{16}{34}\times \frac{9}{33}

                                               =  \frac{24}{187}  =  <u>0.1283</u>

5 0
3 years ago
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