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2 years ago

PLEASE HELP WITH THIS

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

4 0

Answer:

$528\ cm^2$

Step-by-step explanation:

1. Approach

The surface area is the two-dimensional space around a three-dimensional object. In other words, if one was going to wrap an object with paper, the surface area is the amount of paper one would need. To find the surface area, one could find the area of each face of the prism and then add up all of the values.

2. Finding the surface area,

To find the area of each face of the prism, one must multiply the length of the face by the width of the face. After doing so, add up all of the resulting values.

10 * 20 = 200

8 * 20 = 160

6 * 20 = 120

$\frac{1}{2}$ * 6 * 8 = 24

Add up all of the values,

200 + 160 + 120 + 24 + 24

= 528

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Please help as soon as possible 50 points

Morgarella [4.7K]

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)

x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)

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

----- ---> ----- and -------- ---> ---------

x+3 x(x+3) x x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

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x(x+3)

8 0

2 years ago

Read 2 more answers

In triangle ABC, the measure of angle B is 50 degrees. Select all possible values for the measures of A and C if ABC is an acute

galben [10]

Answer:

Step-by-step explanation:

Sum of angle in a triangle = 180°

<A+<B+<C = 180

Given <B = 50°

Substituting into the formula

<A+50+<C = 180

<A+<C = 180-50

<A+<C = 130°

Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°

The possible values of <A and <C that will be acute and give a sum of 130° are;

∠A= 58° and ∠C= 72°

∠A= 80° and ∠C= 50°

∠A= 60° and ∠C= 70°

You can see that all the Angles are less than 90° and their sum is 130°

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3 years ago

Solve the system of equations by using substitution. x+8y=-2 x-3y=20

zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

$x+8y=-2\\x=-2-8y$

Now we know what x equals. Let's substitute this into the second equation:

$x-3y=20\\(-2-8y)-3y=20$

We can then simplify:

$-2-8y-3y=20$ Given equation

$-2-11y=20$ Combine y terms

$-11y=22$ Add 2

$y=-2$ Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

$x+8y=-2$

$x+8(-2)=-2$ Substitute for y

$x-16=-2$ Distribute 8

$x=14$ Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

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2 years ago

What is the greatest common factor for both terms: 24x + 8

Lyrx [107]

$24x=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot x\\\\8=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\\\\GCF(24x,\ 8)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}=8\\\\24x+8=8(3x+1)$

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3 years ago

Choose the correct simplification of (7x3y3)2. 14x6y6 49x5y5 49x6y6 14x5y5

dolphi86 [110]

The answer would be the first one.

I find it easier to expand the equation (you still get the same answer).

= 2 * 7x + 2 * 3y + 2 * 3
= 14x + 6y + 6

Hope this helps!

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2 years ago

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