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dlinn [17]
2 years ago
6

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 10 unit

s, and the right cylinder has a height of 7 units. Which conclusion can be made from the given information?
Mathematics
1 answer:
kozerog [31]2 years ago
3 0

Answer:

Step-by-step explanation:

that the triangular prism has more volume

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In the figure at right, it is given than BDC is straight, BD = DA, and AB = AC = DC. Find the size of angle C
Ilya [14]
You need to use the angle sum of  a triangle in triangle CAD to express y in term of x
for triangla CAD , y = (180 -x) /2
180 = 3x + [ (180-x)/2]

x = 36

hope this helps
6 0
2 years ago
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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
STatiana [176]

Answer:

D. 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4

Step-by-step explanation:

9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =

= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4

= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4

4 0
2 years ago
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Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
scoundrel [369]

Answer:

The correct answer is the last option, that is, 112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

7 0
2 years ago
Read 2 more answers
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
2 years ago
Each journal weighs about 280 grams.What is total weight of 3 jpurnals?
Phoenix [80]
1 journal = 280 grams 3 journals = 280 * 3 280 * 3 = 840 Total weight of 3 journals = 840 grams
8 0
2 years ago
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