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Westkost [7]
2 years ago
7

The following shape has 1 pair of parallel sides What is the area of the shape?

Mathematics
1 answer:
Ivanshal [37]2 years ago
6 0

Answer:

67.5

Step-by-step explanation:

Because I know

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I need help figuring out the answer … I’m confused
ss7ja [257]

1st step. Calculate the area of the parallelogram

We can use the following formula:

A=b\cdot h

where,

base, b = 9 km

height, h = 5 km

Therefore,

A=9\cdot5=45

The area of the parallelogram is 45 km^2

2nd step. Calculate the area of the triangle

Let's use this formula:

A=\frac{b\cdot h}{2}

where,

base, b = 6 km

height, h = 3 km

Therefore,

A=\frac{6\cdot3}{2}=9

The area of the triangle is 9 km^2

3rd step. calculates the ratio of the area of the parallelogram to the area of the triangle

r=\frac{A_P}{A_T}=\frac{45}{9}=5

Answer: the area of the parallelogram is 5 times greater than the area of the triangle.

6 0
11 months ago
[2/SEC(¶/3)•[lim x→0 x^3+8x+10]^2]/[lim θ→0 sinθ/θ]
Oliga [24]
Assuming the pilcrow is supposed to represent pi:

\frac{\frac{2}{sec(\frac{\pi}{3})}*(\lim_{x \to 0} x^3+8x+10)^2}{ \lim_{\theta \to 0} \frac{sine(\theta)}{\theta}}\\\frac{\frac{2}{\frac{1}{cosine(\frac{\pi}{3})}}*((0)^3+8(0)+10)^2}{\frac{sine((0))}{(0)}}\\\frac{\frac{2}{\frac{1}{\frac{1}{2}}}*(0+0+10)^2}{\frac{0}{0}}\\\frac{\frac{2}{2}*(10)^2}{ \lim_{\theta \to 0} \frac{cosine(\theta)}{1}}\\\frac{100}{cosine((0))}\\\frac{100}{1}\\100

100
4 0
3 years ago
What is the unit rate
Andrew [12]

Answer:15 1/2 miles per gallon


Step-by-step explanation:

Since you want to find the unit rate you have to find the miles per gas.

You divide and get 15 1/2miles per gallon

7 0
3 years ago
The area on a wall covered by a rectangular poster is 270 square inches. The length of the poster is 1.2 times longer than the w
forsale [732]

Answer:

Length = 18 in

Width = 15 in

Step-by-step explanation:

We have that the area of a rectangle is:

A = L * W

but L = 1.2 * W

A = 1.2 * (W ^ 2)

1.2 * (W ^ 2) = 270

(W ^ 2) = 270 / 1.2

W ^ 2 = 225

Therefore, W is equal to:

W = 225 ^ (1/2)

W = +/- 15, but only +15 makes sense

W = 15

Now for L:

L = 1.2 * 15

L = 18

A = 15 * 18 = 270 in ^ 2

4 0
2 years ago
Solve for x. Show your work with proper statements and notation.
9966 [12]

Answer:

x = 26

Step-by-step explanation:

The sum of the angles around point O = 360°, thus

x + 3x + 256 = 360 , that is

4x + 256 = 360 ( subtract 256 from both sides )

4x = 104 ( divide both sides by 4 )

x = 26

4 0
3 years ago
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