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dalvyx [7]
3 years ago
9

In the surface area formula shown (S = 2B + Ph), B represents the area of the square base (5in.), P represents the perimeter of

the square base (10 in) and h is the height of the prism (5 in.). Find the surface area of the prism.
A) 25 in


B) 100 in


C) 250 in


D) 300 in
Mathematics
2 answers:
Marrrta [24]3 years ago
8 0

Answer:

C

Step-by-step explanation:

I did usatestprep :)

hope this helps

scZoUnD [109]3 years ago
6 0

Given formula for the surface area of a right prism is S=2B+Ph (where B is the area of one of the bases, h is the prism's height and P is the perimeter of the base)

Here, B = 5 square inches (area of the square base)

P = 10 inches (perimeter of the square base)

h = 5 inches (height of prism)

So, putting the values in the formula we get,

S = (2*5)+(10*5)

= 10+50 = 60 square inches

Hence, the correct surface area of the prism is 60 sq in. (this is not given in the options)

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The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of
k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³     ----- Equation (1)

However, in the  measurement of  shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of  shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³    -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³  

y ( Gallons of water ) = 8 m³    

y ( Gallons of water ) ×  12.5 m³  = 3000 gallons of water × 8 m³  

y ( Gallons of water )  = \frac{3000 gallons of water * 8 m^3  }{12.5m^3}

y ( Gallons of water )  = \frac{24000}{12.5}

y ( Gallons of water )  = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

6 0
4 years ago
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Question in picture above
almond37 [142]
A is the correct answer
8 0
4 years ago
Keiko started a race at 6:44 PM and finished it at 7:13 PM.
KiRa [710]

Answer

29 minutes

Step-by-step explanation:

5 0
3 years ago
Melanie is standing on the 10 m diving platform. Her coach is on the ground to the
Nookie1986 [14]

Answer: Distance between parent and coach = 24.05m

Step-by-step explanation:

Angle of sight between the coach and the ground(θ) = 38°

Angle of sight between the parent and the ground (θ) = 30°

Height of diving platform = 10m

The horizontal distance(x) between the coach and Melanie :

Tanθ = opp / adj

Tan 38° = 10 / x

x = 10 / 0.7812856

x = 12.79m

The horizontal distance (y) between the parent and Melanie :

Tanθ = opp / adj

Tan 30° = 10 / y

y = 10 / 0.5773502

y = 17.32m

Angle at base of platform between Melanie's coach and her parent = 105°

Distance (a) between coach and parent can be calculated using the cosine rule.

a^2 = x^2 + y^2 - 2bcCosA

Where a, b, c are side lengths and A is the included angle

Therefore,

a^2 = 12.79^2 + 17.32^2 - 2(12.79)(17.32)Cos105°

a^2 = 163.5841 + 299.9824 − (-114.6686)

a^2 = 163.5841 + 299.9824 + 114.6686

a^2 = 578.2351

a = √578.2351

a = 24.046519

a = 24.05m

7 0
3 years ago
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
Ilia_Sergeevich [38]

Answer:

y=11-2x           x + y =15

4x − y=7 and 2x − y=15 all have one solution

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you can just put the rest in infinite solutions

Step-by-step explanation:

6 0
3 years ago
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