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3 years ago

A square pyramid has a base area of 36ft2 the pyramids total surface area is 144ft2 what is the area of each triangular face?

1 answer:

4 0

So a square pyramid is like the pyramids in egypt so
surface area of pyhraid=base+4 triangles
surface area=144
baswe=36
subsitute
144=36+4 times triangles
subtract 36 from both sides
108=4 triggles
divide by 4
27=trignels

the area of 1 triangle is 27 ft^2

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If the minute hand is pointing to the number 9, how many minutes before the next hour is the clock showing?

Alisiya [41]

Answer:

The 9 would be pointing at 45 and 45 + 10 = 55 + 5 equals 60 thus making the answer 15 minutes until the next hour

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2 years ago

According to the U.S. Department of Education. Institute of Education Sciences, National Center for Education Statistics 1,026,0

Andreyy89

Answer:

The correct option is C) 21.1 and 0.68

Step-by-step explanation:

Consider the provided information.

The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.

Therefore μ = 21.1 and σ = 4.8

It is given that the sample of 50 students;

Thus, sample size ( n ) = 50

According to the central limit theorem,

$\mu_{\bar x}=\mu\ and \ \sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Therefore

$\mu_{\bar x}=21.1$

$\sigma_{\bar x}=\frac{4.8}{\sqrt{50}}$

$\sigma_{\bar x}=0.68$

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3 years ago

Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t

amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Rate or speed of Adam = 6 mph
Ten minutes later, Benjamin started to run from city B towards city A
Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

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