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katen-ka-za [31]
2 years ago
12

What is the volume of the prism?

Mathematics
1 answer:
Scilla [17]2 years ago
5 0

Answer:

Step-by-step explanation:

you got this i believe in you!

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How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is  one.

8 0
3 years ago
Find the surface area of the rectangular prism
Umnica [9.8K]

Answer:

185.68 cm3

Step-by-step explanation:

SA = 2 (L x W) + 2 (L x H) + 2 (W x H)

     = 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)

     = 2 (27.88)      + 2 (45.92)      + 2 (19.04)

     =     55.76       +     91.84         +     38.08

     SA = 185.68 cm3

4 0
3 years ago
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has
Oxana [17]

Answer:

864

Step-by-step explanation:

Volume of cup = ⅓pi×r²×h

Diameter = 2, radius = 1

= ⅓×3.142 × 1² × 4 = 4.1893333333 in³

To empty the sink, 864 scoops will be required

(3617/4.1893333 = 863.383)

3 0
3 years ago
Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res
DIA [1.3K]

Answer:

The amount invested in gold bullion by Mr. Eliot  =   $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = \frac{5}{100}  \times m = 0.05 m

So, the profit in gold bullion  =  0.05 m

and 3% on (150,000 -m)   = \frac{3}{100}  \times  (150,000 -m) = 0.03  (150,000 -m)

= 4,500 - 0.03 m

So, the profit in bank =  4,500 - 0.03 m

Now,  the total profit  = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m +  4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion  =  m = $50,000

3 0
3 years ago
Why is angle h congruent to angle k
hammer [34]
Because both of the polygons are congruent and are flipped so there for they are the same angle
6 0
2 years ago
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