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2 years ago

what is the surface area of a triangular pyramid if the base is 12 by 12 and each triangle is 12 by 15?

Mathematics

1 answer:

8_murik_8 [283]2 years ago

6 0

Answer:

504 cm squared

Step-by-step explanation:

To find the surface area, find the area of the square base and add it to the area of each triangle face.

Find the area of the base by multiplying base length by base length.

Here the base is 12 x 12 = 144.

Find the area of each triangle face by multiplying 1/2 * b*h.

Here the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.

Together the surface area is 360 + 144 = 504.

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Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per house? Use a doubl

Mashutka [201]

Answer:

54 miles/hour

Step-by-step explanation:

His rate in miles per hour will be also his speed: to calculate the speed, we just need to divide the total number of miles travelled by the total number of hours, so we will have the average speed in the course:

Speed = 216 miles / 4 hours = 54 miles/hour

So the rate Max travelled is 54 miles per hour.

4 0

2 years ago

Read 2 more answers

X = 2y + 4: line equation: please help me

choli [55]

This is how it would look on a graph.

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3 years ago

What is the perimeter of a regular decagon with sides of 14 inches?

photoshop1234 [79]

Answer:

140 inches

Step-by-step explanation:

one decagon has 10 sides

14*10= 140

6 0

2 years ago

The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5

Lorico [155]

Answer:

0.6672 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean $\mu$ and standard deviation $\sigma\sqrt{n}$

Sample size, n = 37

Standard Deviation =

$=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28$

P(taxi and takeoff time will be less than 320 minutes)

$P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)$

Calculation the value from standard normal z table, we have,

$P(\sum x < 320) =0.6672 = 66.72\%$

0.6672 is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

7 0

3 years ago

How many five-digit codes can be made if the first number cannot be a 0 or a 1 and no numbers can repeat?

Makovka662 [10]

Answer:

24,192.

Step-by-step explanation:

The first number must be one of 2,3,4,5,6,7,8 or 9. That is 8 possibilities.

The number of permutations of the other 4 numbers is 9P4

= 9! / (9-4)!

= 3024

Now we multiply by the 8:

3024 * 8

= 24,192.

6 0

3 years ago