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DerKrebs [107]
3 years ago
13

Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form

line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.

What is the length of SW?
Mathematics
2 answers:
Molodets [167]3 years ago
8 0

Answer:Step-by-step explanation:

hyper manni2 years ago
0 0

11 units

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Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o
KengaRu [80]

Answer:

the area of the space he can cover with carpet =  16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet =  A+B+C+D

the area of the space he can cover with carpet =  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards²

the area of the space he can cover with carpet =  16x⁴ yards²

6 0
3 years ago
The lateral area of a cylinder is 325 pi inch^2. The radius is 13 in. Find the surface area and volume. Please show all work!!!
USPshnik [31]
Answer:

Surface area =  663π in².
Volume = (676/3)π in² ≈ 225.33 π in²

Explanation:


1) We know the radius and the lateral area.

2) With the radius you can find the areas of the top and the bottom.

For that, you use the formula: 

area of the top = area of the bottom = π r² 


∴ π (13 in)² = 169π in² (each)


3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)

surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².

3) You  can also find the height of the cylinder.

Use the formula: lateral area = 2π r h


∴ h = lateral area / [2 π r]

⇒ h = 325 π / [ 2π (13) ] = 12.5 in


4) With  the height you can find the volume.

Use the formula: V = (4/3) π r³ 

∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
8 0
3 years ago
Past experience at the Pasadena Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for t
kap26 [50]

Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.

Step-by-step explanation:

From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.

During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:

= 480/1000 × 100

= 48%

Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.

8 0
3 years ago
If an object dropped from the height of 144 ft the function h(t)=-16t^2+144 gives the height of the object after t seconds. When
Nadya [2.5K]
3 seconds
0= -16t^2+144
-144/-16=9
9=t^2
Sq rt of 9 is 3
8 0
4 years ago
Using the equation y = 2x + 5, what would the input need to be for an output of -15?
vfiekz [6]

Answer:

x = -10

Step-by-step explanation:

y = 2x + 5

-15 = 2x + 5

-20 = 2x

-10 = x

4 0
3 years ago
Read 2 more answers
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