MATHEMATICS HIGH SCHOOL

What steps should be taken to calculate the volume of the right triangular prism? Select three options

Answers

Answer 1

Answer:

Answer:

1st, 4th and 5th options are correct.

Step-by-step explanation:

Please find the attachment.

We are asked to choose three steps to calculate the volume of the given right triangular prism.

We know that base of triangular prism is triangle. The volume of triangular prism is area of base times height of the prism.

Let us find area of triangular base using area of triangle formula.

$A=(1)/(2)bh$ , where,

b = Base length,

h = Height of triangular base.

Therefore, 1st option is correct.

Upon substituting the base length (8 m) and height (14 m), we will get:

$A=(1)/(2)(\text{8 m}* \text{14 m})$

$A=\text{4 m}* \text{14 m}$

$A=56\text{ m}^2$

Therefore, 4th option is correct.

The volume of the prism would be area of base times height of prism (7 m) as:

$\text{Volume of the prism}=(56\text{ m}^2)* 7\text{ m}$

$\text{Volume of the prism}=392\text{ m}^3$

Therefore, 5th option is correct as well.

Answer 2

Answer:
To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume

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How do i simplify -3x-15?

Answers

Answer:

$45$

Step-by-step explanation:

$-3 * -15$

Cancel the negative signs on both sides.

$3 * 15$

Evaluate.

$=45$

Answer: -x-5

Step-by-step explanation:

-3x-15 . Both 3 and 15 are variables of 3, this means they can both be divided by 3. -3/3= -1 and -15/3=-5. So -1x-5, or -x-5

Hope this helped! :)

Polynomials - Put in descending order in terms of x:12x²y³ - 6x³y² + 3y - 2x

Must answer correctly and thoroughly to get Brainliest Answer and points.
Thank you! :D

Answers

-6x^3y^2 + 12x^2y^3 - 2x + 3y is the answer. what the question is asking for you to do is rewrite the polynomial in order with the first group being the x with the largest exponent and the last being the group with the smallest exponent. the first 3 are easy to see bc the exponents go from 3 to 2 to 1. the last one however does not have a visual x component which makes it somewhat more complicated. the last group can be rewritten as 3yx^0 bc any number to the zero power is 1. this means that the last group has an x to the power of zero, thus putting it last in descending order

If g(x)=x squared+2 find g(3)

Answers

Answer:

Step-by-step explanation:

x^2+2

(3)^2+2

9+2=11

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct solutions? (options on photo)

Answers

Answer:

$Fx=(5\pm√(25+24) )/(6)$

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

$ax^2+bx+c$

Where:

$a\neq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

$x=(-b\pm√(b^2-4ac) )/(2a)$

So:

$y(x)=3x^2-5x-2=0$

As you can see, in this case:

$a=3\nb=-5\nc=-2$

Using the quadratic formula:

$x=(-b\pm√(b^2-4ac) )/(2a)=(-(-5)\pm√((-5)^2-4(3)(-2)) )/(2(3))=(5\pm√(25+24) )/(6)$

Therefore, the answer is:

$Fx=(5\pm√(25+24) )/(6)$

Which problem is equivalent to 12/18A
18 ÷ 12

B
12 ÷ 18

C
12 x 18

D
12 x 12 x 18

Answers

Answer:

Step-by-step explanation:

Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)

Answers

The rectangular coordinate of the given polarcoordinate will be (- 3.5,6.062).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

As per the given polar coordinates,

(7, 2π/3)

It is known that, x = r cosθ and y = r sinθ.

x = 7 cos(2π/3) and y = 7 sin(2π/3)

x = -3.5 and y = 6.062

Hence "The rectangular coordinate of the given polarcoordinate will be (- 3.5,6.062)".

For more about coordinates,

brainly.com/question/7869125

#SPJ2

Polar coordinates are given by (r,θ).
Rectangular coordinates are given by (x,y)=(rcos θ,rsin θ)

You are given the r and the θ.

You need to find what 7cos(2π3) is, then find 7sin(2π3).

x=−7/2
y=7√3/2

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