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NeTakaya
3 years ago
10

Consider a prism ABCA'B'C' whose base is an equilateral triangle of side a. The projection of A' onto ABC is the centroid of ABC

. The side AA' makes an angle of 60° with the base. Calculate the volume of prismatic block.
Mathematics
2 answers:
luda_lava [24]3 years ago
4 0

Answer: The base of the prism ABCA1B1C1 is an equilateral triangle ABC with side a. Point A1 is projected onto the center (middle) of edge BC and the angle between. ... BC and the angle between the edge AA1 and the plane ABC is 60 degrees. ... I tried several ways to calculate the area but the answer is not the ...

Step-by-step explanation:

Serggg [28]3 years ago
3 0

Answer:

lsu is there to help you with this question

Step-by-step explanation:

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3 Ingrid earns $200 each week in salary plus a 20% commission (bonus) on her total sales. If Ingrid wants to earn a total of $40
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400 = 200 + 0.20x

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List all the factor pairs for 48. make a table to help and add the table.
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Answer:

The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8

Step-by-step explanation:

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The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both
kompoz [17]

Answer:

3.1

Step-by-step explanation:

5 x5 =25

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3 years ago
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A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

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7 0
2 years ago
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each year francesca earns a salary of 2% higher than her previous years salary. In her first 5 years at this job, she earned a t
Luda [366]

Answer:

$36,027.9

Step-by-step explanation:

Lets say her salary in the first year is s1. So, in the second year her salary will be 2% higher than x, this is, s1 + s1*0.02, so:

s2 = s1 + 0.02s1 = 1.02s1

Then in year 3 it will be s2 plus a 0.02 increase:

s3 = s2 + 0.02s2 = 1.02(s2) = 1.02 (1.02 s1) = 1.02^2(s1)

Then the same for s4: s3 salary plus the increase.

s4 = s3 + 0.02s3 = 1.02(s3) = 1.02 (1.02 s2) = 1.02(1.02*1.02 s1) =1.02^3(s1)

Finally for the 5th monts:

s5 = 1.02(s4) = 1.02^4(s1)

We know that s1+s2+s3+s4+s5 = 187,345

Lets replace all the salaries by its value depending on s1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

We can add to the first term a s1^0 as it is eqaul to 1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

Lets get 1s1 out as common factor:

s1 (1 + 1.02^1 + 1.02^2 + 1.02^3 + 1.02^4) = 187,345

s1 *5.20 = 187,345

Divide both sides by 5.20

s1 = 36,027.9

So, her salary in the 1st month was approximately $36,027.9

4 0
3 years ago
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