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Studentka2010 [4]
2 years ago
9

Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit

Mathematics
1 answer:
Finger [1]2 years ago
6 0

Answer:

<em>Area of Shaded Region: 189 square centimeters</em>

Step-by-step explanation:

<em>~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~</em>

1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = <em>135 cm^2</em>

2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by   ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ <em>54 cm^2</em>

3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ <em>189 cm^2</em>

<em>Area of Shaded Region: 189 square centimeters</em>

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write an expression that represents the number of square feet of wallpaper you will need if the height of the family room is x f
elena-14-01-66 [18.8K]
<h3>Given</h3>
  • room height is x feet
  • room length is 3x feet
  • room width is 3x feet
  • a door 3 ft wide by 7 ft tall
<h3>Find</h3>
  • The net area of the wall, excluding the door
<h3>Solution</h3>

The area of the wall, including the door, is the room perimeter multiplied by the height of the room. The room perimeter is the sum of the lengths of the four walls.

... gross wall area = (3x +3x +3x +3x)·x = 12x²

The area of the door is the product of its height and width.

... door area = (7 t)×(3 ft) = 21 ft²

Then the net wall area, exclusive of the door is ...

... net wall area = gross wall area - door area

... net wall area = 12x² -21 . . . . square feet

5 0
3 years ago
Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
White raven [17]
A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a?  well, is just (4/100) * a, or 0.04a.

how much is 9% of b?  well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

\bf \begin{cases}&#10;a+b=26500\implies \boxed{b}=26500-a\\&#10;0.04a+0.09b=1510\\&#10;----------------\\&#10;0.04a+0.09\left( \boxed{26500-a} \right)=1510&#10;\end{cases}&#10;\\\\\\&#10;0.04-0.09a+2385=1510\implies -0.05a=-875&#10;\\\\\\&#10;a=\cfrac{-875}{-0.05}\implies a=17500

how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
Find the value of x in each case:
kicyunya [14]
I think the value of x is 15
7 0
3 years ago
Read 2 more answers
Can someone please send help :(
nlexa [21]
(f o g)(x)

g(x) = x + 2

Since it’s telling you to use g(x), you use (x + 2) as your new x value for function f.

f(x + 2) = 5(x + 2) + 5
= 5x + 10 + 5
= 5x + 15

5 0
3 years ago
Can someone help me find the value of x for the figures given ? Thanks!
stealth61 [152]
I hope this helps you

4 0
3 years ago
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