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prohojiy [21]
2 years ago
15

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units

, and the right cylinder has a height of 5 units. Which conclusion can be made from the given information?
The volume of the prism is half the volume of the cylinder.
The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
The volume of the prism is not equal to the volume of the cylinder.
Mathematics
1 answer:
Akimi4 [234]2 years ago
4 0

Answer:

The volume of the Prism is equal to the volume of the cylinder

Step-by-step explanation:

Because both are 5 units making them equal

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Please help me . the image is attached
Vedmedyk [2.9K]

Answer:

50 times.

Step-by-step explanation:

Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)

Because you are running the experiment 200 times, multiply 200 by 1/4:

200/4 = 50 times.

Hope this helps!

7 0
3 years ago
Solve the following system of equations using the substitution method.
BartSMP [9]

Answer:

B

Step-by-step explanation:

First label the equations.

6x +3y= 18 -----(1)

y= -2x +5 -----(2)

subst. (2) into (1):

6x +3(-2x +5)= 18

6x +3(-2x) +3(5)= 18 (expand)

6x -6x +15= 18

15= 18 (simplify)

(reject)

There is no solution.

<u>Further explanation</u><u>:</u>

If I rewrite the first equation into the form of y=mx+c, I would get

6x +3y=18

3y= 18 -6x (bring y term to one side)

y= 6- 2x (÷3 throughout)

y= -2x +6

Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.

3 0
3 years ago
Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230
Anastasy [175]

Answer:

8.70%

Step-by-step explanation:

Percentage error = (difference between estimated value and actual value / actual amount spent) x 100

difference between estimated value and actual value = estimated value - actual amount

$250 - $230 = $20

($20 / $230) x 100 = 8.6957%

4 0
3 years ago
The length of a garden is 5m greater than the width. the area is 66m^2. Find the dimensions of the garden.
11Alexandr11 [23.1K]
W^2+5w-66=0 
Factor 
(w+11)(w-6)=0 

w+11=0 
w=-11 (not possible - cant have negative length 

w-6=0 
w=6 

L(6)=66 
L=11 

Width = 6 
Length = 11
8 0
3 years ago
Find the measure of the indicated angle to the nearest degree.
eimsori [14]

1. use sin

inverse of sin(44/57) = 50.5 ---> 51°

2. use tan

inverse of tan(6/8) = 36.8 ---> 37°

3. use cos

inverse of cos(20/31) = 49.8 ---> 50°

4. use sin

inverse of sin(37/58) = 39.6 ---> 40°

6 0
3 years ago
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