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kykrilka [37]
3 years ago
13

Find the total surface area.

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

The pyramid consists of 4 congruent triangular faces, and 1 square base.

Area of 1 triangular face:

1/2 * (5 in)/2 * (5.6 in) = 7 in^2

Area of base:

(5 in)^2 = 25 in^2

Then the total surface area is

4 * (7 in^2) + 25 in^2 = (28 + 25) in^2 = 53 in^2

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The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b
makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = \frac{10}{12}(245b - 365) and \frac{2}{3}(3b+6)

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, \frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)

245b - 365 = \frac{12}{10}\times \frac{2}{3}(3b+6)

245b - 365 = \frac{4}{5}(3b+6)

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = \frac{1849}{1213}

b = 1.52

5 0
3 years ago
The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m
photoshop1234 [79]

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures =  0.025 per hour.

Then  for 8 hours , the mean of failures = \lambda=8\times0.25=2 per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that the instrument does not fail in an 8-hour shift :-

P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

7 0
3 years ago
Woody and Jen were paid $60 to paint the garage. Jim started at 8 a.M. And Woody didn't arrive until 10 a.M. The work was comple
Dennis_Churaev [7]

Answer:

$36

Step-by-step explanation:

Jim worked from 8am - 2 pm , which is 6 hours

Woody worked form 10am - 2pm, which is 4 hours

If we take the total time (4+6 = 10) and divide the amount they got, we have:

$60/10 = $6 per hour worked

Since Jim worked 6 hours, he will be paid 6 * 6 = $36

The rest, 60 - 36 = $24 would be paid to Woody (he worked less).

Jim's fair share of earning is $36

8 0
3 years ago
The graphs below have the same shape. What is the equation of the red
Citrus2011 [14]

Answer:

g(x)=2-x² OR g(x)=-x²+2

Step-by-step explanation:

Notice that the red parabola doesn't stretch or compress. It only translates 3 units down. This means taking the original equation f(x)=-x²+5 and subtracting 3 units will get us the equation g(x)=-x²+2 which is also the same thing as g(x)=2-x². Looks like some of your answer choices got cut out of the picture so make sure to choose the answer I provided.

4 0
3 years ago
Read 2 more answers
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Artist 52 [7]

Answer:

x = 26/yz

Step-by-step explanation:

5 0
3 years ago
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