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Fantom [35]
3 years ago
14

The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meter

s. What is the lateral area of the prism? What is the total suface area?
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP  ; height * perimeter
     = 3m * (6 + 8 + 10)
     = 3m * 24
LA = 72 m² 

Surface Area Formula:
SA = 2B + hP       : B = area of the base  = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²

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Are the two triangles similar? How do you know?
Bess [88]
There are several conditions where triangles can be proved similar:

AA - where two of the angles are same.

SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.

SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.

In the case above, we can only use the method of SAS, as only two sides of the triangles are given.

<HMG = <JMK (vertically opposite angles)

HM/MK = 8/12 = 2/3

GM/MJ = 6/9 = 2/3

As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.

Therefore, the answer is C.yes by SAS.

Hope it helps!
7 0
3 years ago
Ryan has nine 14 ounce bags of popcorn to repackage and sell at the school fair. a small bag holds 3 ounces. how many small bags
Mice21 [21]
14 divided by 3 you would get 4 2/3 but since all the bags have to have the same amount it should be 4

Hope this helps!
3 0
4 years ago
Find the value of cos W rounded to the nearest hundredth, if necessary,
Aliun [14]

Answer:

cos W = 7/15

Step-by-step explanation:

Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side

From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse

So, we have it that;

cos W = 14/30

cos W = 7/15

4 0
3 years ago
What is the diameter if the radius is 6ft.?
Eddi Din [679]

Answer:

Diameter = 12 ft.

Step-by-step explanation:

d = 2r; r = \frac{1}{2}d.

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(::)

brainliest?

5 0
2 years ago
How to write 14.05 in expanded form ?
Mama L [17]
You write 10+4+.05.
this is because you add each value separately <span />
6 0
3 years ago
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