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3 years ago

Which of the following is the correct formula that can be used to find the surface area of a prism?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Answer:

S = Ph + 2B

Step-by-step explanation:

Looking at the available options given:

a) P = SB + 2h

Option a has to do with the Perimeter of a prism

b) S = Ph + 2B

Option b is the surface area of a prism specifically it represents the surface area of a triangular prism.

c) B = Sh + 2P

This is used to find the Base area of a prism.

Therefore, Option b is the correct option.

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Which of the following is an arithmetic sequence?

gladu [14]

Answer:

A. 3, 0, -3, -6

Step-by-step explanation:

The sequence with constant first differences is an arithmetic sequence. The sequence of A has a common difference of -3, so is an arithmetic sequence.

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3 years ago

(2x-7)(x+2)+(3x+7)(x+2)

Ivahew [28]

Answer:

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4 0

3 years ago

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HELP DUE IN 10 MINS!

Scilla [17]

Answer:

$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

Using these equations, we get the following information:

Area of circle: $27^2\pi=729\pi$

Circumference of a circle: $2\cdot 27\cdot \pi=54\pi$

Area of sector: $27^2\pi\cdot \frac{80}{360}=162\pi$

Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

3 0

3 years ago

Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola

noname [10]

Answer:

13b

Step-by-step explanation:

4 0

3 years ago

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Solve the system of equations by any method. 5x+9y =16 x+2y =4

Alisiya [41]

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

$\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.$

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

$-5\times(x+2y=4) \rightarrow -5x - 10y = -20$

Therefore, our system now becomes:

$\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.$

Now, we can add these two equations together and solve for y.

$\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4$

Now, we can substitute our value for y into one of the equations and solve for x.

$x+2(4)=4\\\\x + 8 = 4\\\\x = -4$

Therefore, our final solution is (-4, 4).

6 0

3 years ago