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3 years ago

Given the rectangle ABCD, find measure of angle EFH, measure of angle FEH. Also find, HI and GE.

Mathematics

1 answer:

PtichkaEL [24]3 years ago

3 0

EFH=60
FEH=90
GE=36
HI=18
I honestly am not sure if these are 100% correct but I think they are. I’m very sorry if they aren’t

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NO LINKS!!! Find the arc measure and arc length of AB. Then find the area of the sector ABQ.

Norma-Jean [14]

Answer:

<u>Arc Measure</u>: equal to the measure of its corresponding central angle.

<u>Formulas</u>

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)$

$\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$

$\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}$

<h3><u>Question 39</u></h3>

Given:

r = 7 in
$\theta$ = 90°

Substitute the given values into the formulas:

Arc AB = 90°

$\textsf{Arc length of AB}=2 \pi (7) \left(\dfrac{90^{\circ}}{360^{\circ}}\right)=3.5 \pi=11.00\:\sf in\:(2\:d.p.)$

$\textsf{Area of the sector AQB}=\left(\dfrac{90^{\circ}}{360^{\circ}}\right) \pi (7)^2=\dfrac{49}{4} \pi=38.48\:\sf in^2\:(2\:d.p.)$

<h3><u>Question 40</u></h3>

Given:

r = 6 ft
$\theta$ = 120°

Substitute the given values into the formulas:

Arc AB = 120°

$\textsf{Arc length of AB}=2 \pi (6) \left(\dfrac{120^{\circ}}{360^{\circ}}\right)=4\pi=12.57\:\sf ft\:(2\:d.p.)$

$\textsf{Area of the sector AQB}=\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (6)^2=12 \pi=37.70\:\sf ft^2\:(2\:d.p.)$

<h3><u>Question 41</u></h3>

Given:

r = 12 cm
$\theta$ = 45°

Substitute the given values into the formulas:

Arc AB = 45°

$\textsf{Arc length of AB}=2 \pi (12) \left(\dfrac{45^{\circ}}{360^{\circ}}\right)=3 \pi=9.42\:\sf cm\:(2\:d.p.)$

$\textsf{Area of the sector AQB}=\left(\dfrac{45^{\circ}}{360^{\circ}}\right) \pi (12)^2=18 \pi=56.55\:\sf cm^2\:(2\:d.p.)$

8 0

2 years ago

NEED HELP!!!!! You sell 400 shares of AVG Technologies (AVG). You purchased the stock at $12.77 per share and sold it at $13.33

Mandarinka [93]

Answer:

$224

Step-by-step explanation:

You purchased the stock at $12.77 per share, so the total amount you purchase for is:

400 shares * $12.77 = $5108

You spent $5108 on the stock shares.

You sold the stock at $13.33 per share, so the total amount you sold for is

400 shares * $13.33 = $5332

You got $5332 by selling the stock shares.

Profit = $5332 - $5108 = $224

4 0

3 years ago

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I have litre of bottle of cola i drink 650 ml how much is left

TiliK225 [7]

There are 1000 ml in one liter if you drank 650 ml then:

1000 - 650 = 350

350 ml are left

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3 years ago

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40. When you translate, (x, y+6) will move

VikaD [51]

Answer:

A 6 units up

Translation rule

Y rule

+= up

-= down

X rule

+= right

-=left

Reflection rule

Reflection over x axis

Y that was once a positive number, is flipped to a negative

example

6,2 reflected over the x axis.

2=-2

Y axis rule example

-2,7 reflected over the y axis

-2=2

Step-by-step explanation:

If it ever says (example,example) like flipped over the x, it will change the y.

Same for a flip over the y, it will change the x

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3 years ago

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Find the value of the variables in the figure below

svetlana [45]

Answer:

The answer to your question is:

x = 21

y = 4

∡ = 75° and 105°

Step-by-step explanation:

Process

3(x + y)° + 5x = 180 supplementary angles

3(x + y) = 4x - 9 corresponding angles

Expanding

3x + 3y + 5x = 180 (1) Like terms

3x + 3y = 4x - 9 (2)

8x + 3 y = 180 (1)

8 ( -x + 3 y = -9) (2) Multiply by 8

8x + 3y = 180 (1)

-8x +24y = -72 (2) Elimitation method

27 y = 108

y = 108 / 27

y = 4

8x + 3 (4) = 180

8x +12 = 180

8x = 168

x = 21

3(21 + 4) = 3(25) = 75°

5(21) = 105°

6 0

3 years ago