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2 years ago

What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?

Mathematics

1 answer:

kramer2 years ago

3 0

Answer: 12 units²

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.

A=4×3=12 units²

Now, we know the area is 12 units².

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Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle

snow_lady [41]

StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Pi radians is equal to 180°

Given the minor arc angles as 135°, change this value to pi radians

180° =π radians

135° = ?

Cross multiply

135° * π radians / 180°

=135/180 * π radians

=3 π/4 radians

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Changing degrees to radians :brainly.com/question/12095161

Keywords: minor arc, measure, circle, line segment, radii, central angle

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2 years ago

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Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Alisiya [41]

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-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
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$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

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A group of 48 friends meets for lunch. They greet each other by exchanging fist bumps. How many fist bumps are exchanged if each

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3 years ago

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Solve for b.<br> - 32 + 106 = -22

Eddi Din [679]

Answer:

-30+10b=-22

32-22=10b

10b=10

-32+10=-22

hope it helps

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3 years ago

Julio bought a backpack for $39.95 and 2 belts for $17.99 each. The sales tax is 6%. How much did Julio spend for all the items,

gtnhenbr [62]

Answer:

$80.49

Step-by-step explanation:

39.95 + 17.99 x 2

17.99 x 2 = 35.98

35.98 + 39.95 = 75.93

75.93 + 6% = 80.49

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