A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6 inches long and a height of 5 inches. The length of the carton is 32 inches. If you answer we can chat ( : and I'll thank you in a big way!

Answers

Answer 1

Answer: I am guessing you are wanting to find the volume.

Volume= area of cross-section × length

The area of the cross-section is the triangle is 15 cm². 15 cm² × 32cm is 480cm³. Therefore the answer is 480cm³

If you are finding the surface area, the two triangles add up to 30cm. Then each rectangle is 160cm. There are 3 rectangles and 160x3= 480. 480+30= 510cm.

The surface area is 510cm and the volume is 480cm³.

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Mark was thinking of a number. Mark doubles it and gets an answer of 64. What was the original number?

Answers

Answer:

Step-by-step explanation:

32x2=64

Answer:

Step-by-step explanation:

64/2=32

Determine the factors of 5x2 + 29x _ 6

Answers

The answer is (x + 6)(5x - 1).

5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)

Answer:

The factors of given equation $5x^2+29x-6$ is $(5x-1)(x+6)$

Step-by-step explanation:

Given equation $5x^2+29x-6$

We have to determine the factors of given equation.

Quadratic equation is an equation with highest degree 2.

Consider the given quadratic equation $5x^2+29x-6$

We can solve the quadratic equation $5x^2+29x-6$ using middle term splitting method.

splitting middle term can be done by writing middle term in such a way that the product of coefficient is the product of remaining two terms.

29x can be written as 30x-1x

$\Rightarrow 5x^2+29x-6$

$\Rightarrow 5x^2+30x-x-6$

Taking 5x common from first two terms and -1 from last two terms , we have,

$\Rightarrow 5x(x+6)-1(x+6)$

$5x^2+29x-6=(5x-1)(x+6)$

Thus, the factors of given equation $5x^2+29x-6$ is $(5x-1)(x+6)$

Factor the expression 28x + 49

Answers

Answer:

7(4x+7)

Step-by-step explanation:

28x+49

Rewriting

4*7*x + 7*7

Factor out a 7

7(4x+7)

Answer:

7(4x+7)

Step-by-step explanation:

Just divide both numbers by the common factor,7.

What is x^2+( 5√2-x)^2= 5√2^2

Answers

$x^2+( 5\sqrt2-x)^2= (5\sqrt2)^2\nx^2+50-10\sqrt2x+x^2=50\n2x^2-10\sqrt2x=0\nx^2-5\sqrt2x=0\nx(x-5\sqrt2)=0\nx=0 \vee x=5\sqrt2$

Step-by-step explanation:

In which form of government would the people elect officials to make government decisions? Monarchy Direct democracy Representative democracy Autocracy

Solve the rational equation

1/x+3/8=1/4

Answers

Step 1: Subtract 3/8 from both sides
1/x+3/8-3/8=1/4-3/8
1/x=1/4-3/8

Step 2: Multiply 1/4 by 1/2
1/x=(1/4)(1/2)-3/8
1/x=2/8-3/8

Step 3: Subtract
1/x=-1/8

Step 5: Multiply by x on both sides
1/x(x)=-1/8(x)
1=-1/8x

Step 6: Divide -1/8
1/(-1/8)=-1/8x/(1/8)
*You can times flip
1(-8)=-1/8x(8)
-8=-x
*Divide by -1
-8/-1=-x/-1
8=x

17. Write the slope-intercept form of the equation of the line though the given point with the given slope.18.Find the slope of a line perpendicular to each given line.
Show work please

Answers

Answer:

y = - x +2

Step-by-step explanation:

Slope = -1

Point: (-3,5)

b = 5 - (- 1)(- 3)

= 5 - 3 = 2

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