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3 years ago

What is the area of the composite figure?

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

6 0

34 units got it right on edgeunity

Irina18 [472]3 years ago

4 0

Answer:

area of the compostie figure = 34 squre units

Step-by-step explanation:

To find the area of this composite figure , first find the area of the trapezoid

then we subtract the area of rectangle (white part of the figure at the bottom)

Area of the trapezoid = (base1+base2)/2 times height

base 1= 10

base 2=6, height = 5

Area of a trapezoid = $\frac{10+6}{2} *5$ = 40

Area of the rectangle = length * width

= 3*2= 6

Now area of the compostie figure = 40 - 6= 34 squre units

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AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA= 50 degrees and the measure of

defon

Answer:

Part 1) $m\angle AFE=55^o$

Part 2) $m\angle EFB=125^o$

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

Note: In this problem the correct measure of arc EA is 40 degrees (see the picture)

$m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)$

substitute the given values

$m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o$

Part 2) what is the measure of angle EFB?

we know that

$m\angle AFE+m\angle EFB=180^o$ ---> by supplementary angles (form a linear pair)

substitute the given value

$55^o+m\angle EFB=180^o$

$m\angle EFB=180^o-55^o=125^o$

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3 years ago

Ally sold 18 boxes of girl scout cookies. This was 40% of the number of boxes that Kayla sold. How many boxes did Kayla sell?

S_A_V [24]

Answer:

Kayla sold 90 boxes of cookies.

Step-by-step explanation:

let's have X be the number of boxes Kayla sold.

x⇒100%

18⇒20%

Find x,

x=100/20 × 18

x=90

6 0

3 years ago

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

$days = 52$

So:

$x = 52$

So, we have:

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

$y = 2.89\sin(0.0145*52-1.40) + 10.99.$

$y = 2.89\sin(0.754-1.40) + 10.99.$

$y = 2.89\sin(-0.646) + 10.99.$

$y = 2.89*-0.6020 + 10.99.$

$y = -1.740 + 10.99.$

$y = 9.25$

$y = 9.3$ --- approximated

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3 years ago

Who good at angles ?

Kamila [148]

Answer:

JRQ = 56

Step-by-step explanation:

SRQ - SRJ = JRQ

166 - 110 = 56

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3 years ago

Determine the answer to 3 + -5 and explain the steps using a number line

Marizza181 [45]

Adding a positive to a negative, you would look at the number with the greater absolute value, and that number would determine the sign of the sum.

5 - 3 = 2

Since 5 is bigger, you use that sign

-5

-2

Answer: -2

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3 years ago

Read 2 more answers