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True [87]
3 years ago
8

Find the area of the figure

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0
These are the steps: 
1. Find area of the two triangles.
2. Find area of the rectangle.
3. Add them up.

<u>Step 1: Find area of the two triangles:</u>

Formula : Area of triangle = 1/2 x base x height

Both triangles are identical.
Height = 5m
Base = 6 + 6 + 12 = 24

Area = 1/2 x 24 x 5 = 60 m²

<u>Step 2: Find the area of the rectangle:</u>

Formula : Area = Length x Width

Area = 12 x 7 = 84 m²

<u>Step 3: Find the total area:</u>

60 + 84 = 144 m²

Answer: 144 m²
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Step-by-step explanation:

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using the graph,find the value of the constant in the equation below.if necessary,round your answer to the nearest integer (Pict
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The equation is the form:
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A rectangle has vertices a(1,2), B(1,7), c(4,7), d(4,2). what is the perimiter of the rectangle
aliina [53]

Answer:

16

Step-by-step explanation:

You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!

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3 years ago
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The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +
Alex_Xolod [135]

Answer:

Step-by-step explanation:

Y=8(32)+12

Y=256+12

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Y=8(24)+12

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204+268=472

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3 years ago
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1. The probability of telesales representative making a sale on a customer call is 0.15.
Mumz [18]

Answer:

1c

 n = 33

1d

 n = 19

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  p = 0.15

     The mean is  \mu  =  5

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \mu =  n*  p

=>  5= n *  0.15

=>  n = 33

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      P( X \ge 1) = 1 - P( X < 1 ) > 0.95

=>    P( X \ge 1) = 1 - P( X =0 ) > 0.95

=>    P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95

=>    1 - [1  *  1*  (0.85)^{n}] > 0.95

=>    [(0.85)^{n}] > 0.05

taking natural  log of both sides

n = \frac{ln(0.05)}{ln(0.85)}

=>  n = 19

3 0
2 years ago
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