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3 years ago

The area of a parallelogram is 91.2cm2, base is 12cm. Find its height.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

6 0

The area of a parallelogram is base times height.

12h=91.2
h=7.6

The height is equal to 7.6 centimeters

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Find the perimeter of the polygon. Round your answer to the nearest tenth.

lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

$PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units$

Perimeter refers to sum of lengths of all the sides.

Perimeter = $5.4+8.5+7.1+7+10.8=38.8$

Or approximately 39 units

3 0

3 years ago

What are the solutions of -1 ≤ x – 3 < 4

cricket20 [7]

Answer:

2 ≤ x < 7

Step-by-step explanation:

-1 ≤ x – 3 < 4

Add 3 to each side

-1+3 ≤ x – 3+3 < 4+3

2 ≤ x < 7

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3 years ago

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AleksAgata [21]

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2 years ago

Find the inverse g(x)=x/5-6

STALIN [3.7K]

Interpreted: $g(x) = \frac{x}{5} - 6$
Let $y = g(x)$
$y = \frac{x}{5} - 6$
$x = \frac{y}{5} - 6$ (Interchange the x and y-values)

$\frac{y}{5} = x + 6$ (Solve for y)
$y = 5(x + 6)$

$\therefore g^{-1}(x) = 5(x + 6)$

4 0

3 years ago

Please help! I really don’t understand this and I need to do this for homework

densk [106]

Answer:

Just move each point 17 units left, then 3 down. For example, for U, count seventeen points to the left, and once you are there, count 3 down. You should end up at (-7, 7). Do this for all the points.

Step-by-step explanation:

Hope this helps!

5 0

3 years ago

The area of a parallelogram is 91.2cm2, base is 12cm. Find its height.​

The area of a parallelogram is 91.2cm2, base is 12cm. Find its height.