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11111nata11111 [884]
3 years ago
14

3. Leo made a container to store his camping gear. The container is in the shape of a rectangular prism. The container has mater

ial covering all six sides.
(a) What is the capacity of the container? (Volume)
(b) How much material was used to make the container? (Surface Area)

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer: A is 40ft3

B is 76ft3

Step-by-step explanation:

A is Volume. V= LxWxH

V=5 x 2 x 4

V= 40ft3

B is surface Area. 5x2= 10

2x4=8

4x5=20

10+8+20=38

38x2= 76ft3

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Akimi4 [234]

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

Center = (2, 14)

Radius = 1

<em>Given formula</em>

(x - h)² + (y - k)² = r²

<em>Substitute the value into the formula</em>

(x - 2)² + (y - 14)² = (1)²

<em>Simplify</em>

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
13. Factor 12 + 8. *<br>O 3(2+4)<br>4(3+2)<br>2(4+3)<br>4+3(2)​
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4 0
2 years ago
Triangle KML and triangle PRQ are shown in the figure belowK404008 cms4 cms10 cmsOL3 cms6 cmsRM17) Are these triangles similar?1
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Two triangles are similar if the only difference between them is the size, this means that their internal angles must be the same. If we look at the picture the first triangle has one angle equal to 40 degrees, one equal to 80 degrees and the third one is unkown (x). The second triangle has one angle equal to 40 degrees, one equal to 60 degrees and the third one is unkown (y). The sum of the internal angles of a triangle must be equal to 180 degrees, with this information we can find the values of the missing angles. We have:

\begin{gathered} 40+80+x=180 \\ 120+x\text{ = 180} \\ x\text{ = 180-120=60} \end{gathered}\begin{gathered} 40+60+y=180 \\ 100+y=180 \\ y=180-100=80 \end{gathered}

Therefore the internal angles of the first triangle are (40,80,60) and the angles of the second triangle are (40,80,60) as well, therefore they are similar.

Two triangles are congruent if they have sides with the same length. Which is not the case, because the sides of one triangle is (8, 10, 6) while the other is (4,3 and unkown). Therefore they are not congruent.

8 0
1 year ago
What is the variance for 34, 46, 52, 29, 41, 38, 36, and 28
horsena [70]

Answer:

38

Step-by-step explanation:

add all the numbers and divide that number by the amount of numbers there.

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8 0
3 years ago
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To the nearest square centimeter, what is the area of the circle below? Use pi = 3.14
Mademuasel [1]

Answer:

radius \:  \: r = 5 \: cm \\ area = \pi {r}^{2}  \\  = 3.14 \times (5) {}^{2}  \\  = 78.5 \:  {cm}^{2}

8 0
3 years ago
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