A. >
B. <
C. =
D. none of the above

The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.

The figure of the problem is attached below. The length of AB which is L has to be find out.

The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.

[tex]AB=90-60\\AB=30^o[/tex]

The sum of all the interior angle is 180 degree. Thus, the angle ACB is,

[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]

Let suppose, the length of AB is a. Thus, by the sine law,

[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]

Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

Learn more about the sine law here;

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[tex]5 {}^{ \frac{1}{8} } \times 5 {}^{ \frac{3}{8} } [/tex]

[tex] = 5 {}^{ \frac{1 + 3}{8} } = 5 {}^{ \frac{4}{8} } = 5 {}^{ \frac{1}{2} } = \sqrt{5} [/tex]

Answer:

C. $250

Step-by-step explanation:

-To find the unit rate you need to divide the Amount Earned by Time worked

-When you do this you get 6.25

-Then you multiply 6.25 by 40

-That equals 250 and therefore the answer is C

Answer:

17. vertex (3,8)

y intercepts = -10

18. a=4,b=-8,C=-5

1. graph downwards

2.x=1

3.vertex(1,-9)

4.y intercept = -5

5.x = -1/2 or X = 5/2

Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

Answer:

f(3) = 68

Step-by-step explanation:

Given:

[tex]\sf f(1)=2[/tex]

[tex]\sf f(n) = f(n-1)^2+4[/tex]

[tex]\sf \implies f(2) = f(1)^2+4[/tex]

[tex]\sf \implies f(2) = 2^2+4=8[/tex]

[tex]\sf \implies f(3) = f(2)^2+4[/tex]

[tex]\sf \implies f(3) = 8^2+4=68[/tex]

Answer:

x=120°

Step-by-step explanation:

120×2=240

360-240=120

x=120

Answer:

Angle x = 120 Degrees

Step-by-step explanation:

Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees

e.g. Triangle have 3 sides

3 - 2 = 1

1 X 180 = 180

A Triangle has a total of 180 Degrees

Total Interior angle of a hexagon = 720 Degrees

Interior angle of a regular hexagon is 720 / 6 = 120

360 Degrees in a circle

360 - 120 - 120 = 120

Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN

Step-by-step explanation:

Answer:

no 3. is C

no 4. 144 square inch

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Answer:

A=128

Step-by-step explanation:

A=(25-9)^2/3√3+5

A=(16)^2/3√8

A=256/2

A=128

Answer:

  c.  $77.00

Step-by-step explanation:

The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.

  1.86 × $41.40 = $77.00

The helment price will be $77.00 when the CPI is 186.

Answer:

C. $77.00

Step-by-step explanation:

Edge23

Answer:

8 puppies

Step-by-step explanation:

13-5=8

Answer: she had 8 pups left

Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.

Hope this helps-

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

Answer:

the range is 8

Step-by-step explanation:

the range is the highest value number minus the lowest value number. You can find that by the whiskers of the box plot which are 10 and 2. 10 minus 2 is 8.

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Answer:

8 is the answer

Step-by-step explanation:

Answer:

add them

Step-by-step explanation:

you have to add them all up because it says find the range

Answer:

6 pi inches

Step-by-step explanation:

Entire minute is one entire circle

  circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches

from 6 to 12 position is half of a cirlce , so 6 pi inches

Answer:

6 pi inches

Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW

have a nice day/night

-<-   :)

Answer:

B and D I think

Step-by-step explanation:

Answer:

10 units²

Step-by-step explanation:

Area = bh/2

b = 4

h = 5

A = (4 x 5)/2 = 10 units²

I hope this helps!

Answer:

[tex] {6}^{3 } [/tex]

Step-by-step explanation:

[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]

Answer:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand.JUST FOLLOW THE TEXT TO GET THE ANSWER OF THE INEQUALITY ×>5

Answer:

D 26000

Step-by-step explanation:

100 x 100 = 10000

120 x 150 = 18000/2 = 9000

150 x 300 = 45000

10000 + 9000 = 19000

45000 - 19000 = 26000

Answer:

Is A

Step-b-step explanation:

40.5

Answer:

B

Step-by-step explanation:

If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

BW × WD = AW × WC ( substitute values )

6 BW = 3 × 8 = 24 ( divide both sides by 6 )

BW = 4 units

Answer:

Option B

Step-by-step explanation:

Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.

AW * WC =  WD * BW

3 * 8     = 6 * BW

   [tex]\sf \dfrac{3*8}{6} = BW[/tex]

  BW = 4 units

a right angle is always 90° and is you sum up all 3 of the angles of the triangle, you always get 180°, so:

180°-55°-90°= 35°

Answer:

x=34

Step-by-step explanation:

This is a 180-degree angle. This means, that when added, both sides must equal 180.

180-151=29

Since there is a "-5" on the side of x, we must add five to find x.

29+5=34

x=34

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the kite. Hence:

At an angle of 56°, the height is:

sin(56) = h/15

h = 12.44 m

At an angle of 60°, the height is:

sin(60) = h/15

h = 13 m

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

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Answer:

20%=8

10%=?

by cross multiplications,

10×8=80

80÷20=4

Hence the answer is 4.

Answer:
4

Step-by-step explanation:

think about it we have 8 and 20 %, multiply 8 by 5 since theres 20 % and its 20 % of 100. 100 / 20 = 5 * 8 = 40 but since we have 20 and 10 % getting compared we obv know that it would be half what the answer for 20 % of would be so 4 :D