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Rom4ik [11]
3 years ago
6

Find the surface area of the pyramid shown to the nearest whole number.

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Surface area of a pyramid =

area of base + area of triangular faces

Since it's a square based pyramid

It's surface area is

area of base + 4( area of one triangular face)

Since the square has equal sides

<u>For square base </u>

Area of a square = l²

where l is the length

From the question l = 5

So we have

Area of square base = 5² = 25ft²

<u>For one of the triangular face</u>

Area of a triangle = ½ × base × height

base = 5

height = 6

Area = ½ × 5 × 6 = 15ft²

So the surface area of the pyramid is

25 + 4(15)

= 25 + 60

We have the final answer as

<h3>Surface area = 85 ft²</h3>

Hope this helps you

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In China, where many couples were allowed to have only one child, the probability of a baby being a boy was 0.545. Among six ran
wariber [46]

Answer: 0.9738

Step-by-step explanation:

This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by

P(X=r) = nCr * p^r * q^n-r

Where n = number of sample = 6

p = probability of success = 0.545

q = 1-p = 0.455

r = possible outcome from number of sample.

If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]

Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262

Probability that at least one is a girl = 1 - 0.0262 = 0.9738.

6 0
3 years ago
Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is gi
Vitek1552 [10]

Answer:

t=1.020s

Step-by-step explanation:

Given Equation:

5t-0.5at^{2} =0

Actually the given equation is the 2nd equation of motion

i.e. S =V_{i} t+0.5at^{2}

where S=0 because the astronaut jumps on the earth

and initial velocity V_{i}=5

to find time t, put the given value of a=9.8m/s^{2} in the given equation, we get

5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s

it will take t=1.020s to reach the ground if he jumps on the Earth

3 0
3 years ago
A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.
-BARSIC- [3]
X = 35y gallons per mile
3 0
2 years ago
Pls help w this :) 25+ points...
Anna11 [10]

Answer:

i think its A

Step-by-step explanation:

6 0
3 years ago
Calculate the pay for the following day of a weekly time card given a wage $13/hr <br> HELP PLEASE
dlinn [17]

Answer:

$130

Step-by-step explanation:

The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.

Hope this helps.

4 0
3 years ago
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