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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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As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w
kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.


A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D)  To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0
3 years ago
A recipe for 8 servinfs of pudding clls for 2 cups of milk.How many gallons of milk are needed to make enough pudding for 64 ser
I am Lyosha [343]
In order to solve this, we first need to know what the ratio of servings of pudding to cups of milk is. We can see that 8 servings of pudding requires 2 cups of milk, so the ratio is 8/2, which can be reduced to 4/1. This means that for every 4 servings of pudding, we will be adding 1 cup of milk. So all we need to do to find out how many cups would be needed for 64 servings of pudding, we simply need to divide by 4.

64 / 4 = 16

So for 64 servings of pudding, we will need 16 cups of milk. But that's not what the question wants to know, it wants to know how many gallons of milk it would need. 

In order to find that out, we have to know how many cups there are in one gallon. There are 2 cups in one pint, there are 2 pints in a quart, and there are 4 quarts in a gallon, so we just have to multiply those numbers, and we get 4 * 2 * 2 = 8 * 2 = 16

There are 16 cups in one gallon, therefore, 64 servings of pudding will require 1 gallon of milk.
Hope that helped! =)
7 0
3 years ago
The longest straight line you can draw within this circle is 3.6 inches long. What is the circumference of this circle?
nydimaria [60]

Answer:

18 inches.

Step-by-step explanation:

We can connect two points of a circle in many ways, as you can see in the picture below.

The longest straight line that you can draw to connect two points is the diameter, that is, the straight line that passes through the center of the circle.

If the circle has 9 inches of radius the diameter will be 9+9 = 18 inches.

3 0
3 years ago
(2.3 x 10^5)(3.4 x 10^9) Answer in scientific notation!? asap please​
wel
If the numbers supposed to be multiplied together the answer is 7.82 x 10^14
7 0
3 years ago
Part C of Jim and his dad are building a rectangular flower bed.
charle [14.2K]
I gotchu

The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.

Let's solve for the length, using the formula to see how much the length changes from.

p = 2l + 2w

35 = 2l + 2(15)

35 = 2l + 30

5 = 2l

2.5 = l


We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
6 0
2 years ago
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