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3 years ago

Find the Surface Area

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

120 km squared.

Step-by-step explanation:

The shape shown has 5 sides: three rectangles and 2 triangles.

If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.

The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.

So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.

And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.

Hope this helps!

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What value in place of the question mark makes the polynomial below a perfect square trinomial ?

gregori [183]

Answer:

Option D is correct.

Step-by-step explanation:

We have been given $x^2+22x+?$

We need to tell which one of them will give the perfect square trinomial.

Trinomial is the polynomial with three terms.

$x^2+22x+121$

If we factorize it by middle term splitting we get:

$x^2+11x+11x+121$

$\Rightarrow x(x+11)+11(x+11)$

$\Rightarrow (x+11)(x+11)$

$\Rightarrow (x+11)^2$ is the perfect square trinomial.

Therefore, option D is correct

4 0

3 years ago

Read 2 more answers

Evaluate 7m+2n-8p/n for m = -4, n = 2, and p = 1.5

Zanzabum

7*-4= -28 +4-12/2
-24-6
=-30

7 0

3 years ago

If LB = 6 and LN = 2x + 5 , what is x? Show your work.

olga nikolaevna [1]

Answer:

x=3.5

Step-by-step explanation:

MN is divided in half because of MO. BN would equal 6, too. In all, LN should equal 12. So, your equation would be:

2x+5=12

Solve this equation:

2x=12-5

2x=7

x=3.5

~Happy Holidays~ :)

8 0

3 years ago

Consider the graph above. Write about a situation that could be modeled using this graph. In your response, use the prompts belo

Vikentia [17]

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for graph

Required

A situation that can be modeled by the graph.

The prompt and the response are as follows:

The type of function:

It is a linear function

The variables modeled in the function

The variables are x and y

The domain and the range

From the graph, we can see that x and y values are not limited to any constraints.

So, the domain and the range are:

$Domain: \{-\infty \le x \le \infty \}$

$Range: \{-\infty \le y \le \infty \}$

Question that could be $answered$

The graph could be used to predict y value, given the x value.

Take for instance, find y when x = 10

The answer can be handpicked directly from the graph. However, the best way is to calculate the graph equation, first.

So, we have:

Pick any two points on the line of the graph

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,4)$

Calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{4 - 0}{0 - -2}$

$m = \frac{4}{2}$

$m =2$

The equation of the graph is:

$y = m(x - x_1) + y_1\\$

So, we have:

$y = 2(x - -2) + 0$

$y = 2(x +2)$

Expand

$y = 2x +4$

To solve for y when x = 10;

$y = 2 * 10 +4$

$y = 20 +4$

$y = 24$

5 0

3 years ago

Answer and explain deeply thank you so much! I’ll mark brainliest

Elis [28]

Let me know if this doesn’t make sense

8 0

3 years ago