An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. 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°
Answers
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.
What is the law of sine?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.
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Josh is cutting a 25-inch beard inte tinch sections How many whole sections will the end up with
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What is x? What is written in pencil is what my teacher gave me.
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If the poh of vinegar is 9.45, what is its [oh− ]? round to the nearest hundredth. × 10n m n =
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The [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
How to calculate the [OH] of a substance:The sum of the pH and pOH of a substance is 14. Mathematically
[OH−] = Antilog (pOH)
Given the following parameters
[OH−] = Antilog (9.45)
Substitute
[OH−] = 2.82 * 10^-5
Hence the [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
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Answer:
The person above me is incorrect
1st blank is 3.55
2nd blank is -10
Step-by-step explanation:
Look at the image (bottom left corner)
Solve the following system of equations using elimination.
X + 2y = 5
3x + 5y = 14
Answers
Answer:
x = 3
y = 1
Step-by-step explanation:
x + 2y = 5 ------------(1)
3x + 5y = 14 ---------(2)
(1) × 3 : 3x + 6y = 15 ------ (3)
(3) - (2) : y = 1
y = 1, x + 2(1) = 5
x = 3
John wants to purchase a new freezer chest to store food. The amount of space in the freezer chest is known as A. Volume B. Area C. Perimeter
Answers
Answer:
A. Volume
Step-by-step explanation:
Volume is how much space is in a substance so that means it is A
Answer:
Volume
Step-by-step explanation:
The amount of space that a substance or object occupies is called Volume.
The relationship between the 3 sides in a right triangle
Answers
Answer:
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Step-by-step explanation:
…
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 6 inches and a height of 4 inches. How much wax will the company need to make 140 candles?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answers
Answer:
The company will need 3,360 inches of wax
Step-by-step explanation:
To find how much wax you need per one candle you would do 6in.X4in. which gives you 24in. of wax. Then to find the amount of was for 140 candles you would do 140X24in. to get 3,360 inches of wax.
Which of the following equations is the result after the first step in solving 5x – 4 = 15?
A 5x = 19
B x = 2
C 5x = 11
D x – 4 = 3
Answers
Answer:
[A} 5x = 19
Step-by-step explanation:
Let's solve to see what the first step in solving the following equations:
5x - 4 = 15
Add 4 to both sides
5x - 4 + 4 = 15 + 4
5x = 19 {First step after solving}
Divide both sides by the same factor
5x/5 = 19/x
x = 3.8
Thus, the answer is [A] 5x = 19
Kavinsky
Answer:
[A] 5x = 19
Step-by-step explanation:
Solving to see first step:
5x - 4 = 15
+4 +4 {15 + 4 = 19}
-------------------------
5x = 19
Divide both sides by 5
5x/5 = 19/5
x = 19/5
x = 3.8
As you can see 5x = 19 is the first step result after solving.
~Lenvy~
(5.1)*x=(0.51)*y=1000,find the value of 1/x-1/y
Answers
Answer: 0.00459
Step-by-step explanation:
Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?
Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.
Answers
For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.
What is the format of a file?When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.
Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.
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what is the equation in slope-intercept form of the line that passes through the points (-26,-11) and (39,34)?
Answers
Answer:
y = [tex]\frac{9}{13}x + 7[/tex]
Step-by-step explanation:
Slope (m):
34 - (-11)/39 - (-26) = 45/65 = 9/13
y-intercept (b):
34 = (9/13)39 + b
7 = b
the equation is:
y = (9/13)x + 7
Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? What is the estimate equation????????
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Answers
Answer:
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Step-by-step explanation:
divide brownies by friends
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Answer:
A
Step-by-step explanation:
the volume of a sphere (= a ball) =
4/3 × pi × r³
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Step-by-step explanation:
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Answer:
Empirical probability
And
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Which statements are true about the graphed function?
Answers
Step-by-step explanation:
The Amplitude is 4
The period is 2π
The midline is y=1.5
OPTION 1, 3,6
Answer:
See below ~
Step-by-step explanation:
The period of the function is 2π as it is the time taken to travel between successive troughs/crestsThe midline of the function is the mean of the highest y-value and lowest y-value ⇒ 4 - 1 / 2 = 3/2 ⇒ y = 1.5Similarly, amplitude is the distance between the top of the crest and axis ⇒ A = 4y=3(x+2)^2+4 solve please and thank you!
Answers
Answer:
Step-by-step explanation:
Subtract 4 from both sides
y - 4 = 3(x+2)^2
Divide 3 from both sides
(y-4)/3 = (x+2)^2
Square root both sides
SQRT((y-4)/3) = x + 2
Subtract 2 from both sides
x = SQRT((y-4)/3) - 2
Hope this helps
In parallelogram crhs, the measure of angle c is 48.Find the measure of angle h?
Answers
Answer:
48°
Step-by-step explanation:
we know that opposite angle of parallelogram is equal
so,
angel C is equal to opposite angle H
H = 48
angle C = 48°
angle R = 132°
angle H = 48° (opposite of angle C)
angle S = 132°(opposite of angle R)
Mark me Brainiest please
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer: c = -28
Step-by-step explanation:
substitue x for 2
2(2^2) + 10(2) + c = 0
8 + 20 + c = 0
28 + c = 0
c = -28
The value of coefficient c of the quadratic equation 2x^2+10x+c=0 is -28.
One of the roots of the quadratic equation 2x^2+10x+c=0 is equal to 2.
What is the root?The roots of a quadratic equation are the values of the variable that satisfy the equation.
They are also known as the solutions or zeros
The equation is 2x^2+10x+c=0.
a=2, b=10 and c=?
To substitute x for 2
2(2^2) + 10(2) + c = 0
8 + 20 + c = 0
28 + c = 0
c = -28
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Answers
Answer:
4/9
Step-by-step explanation:
2/3 × 2/3 is 4/9
2×2 is 4 and 3×3 is 9
Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. in the middle of this wall is a circular window whose radius is 2 ft. what is the area of the wall without the window? use 3.14 for pi. enter your answer as a decimal in the box. ft²
Answers
Answer:
79.44 ft²
Step-by-step explanation:
Area (wall)
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Answer:
57°
Step-by-step explanation:
Using the Law of sines,
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Answers
Answer:
five
Step-by-step explanation:
Help!! It’s urgent I need help
Answers
7cm²+5cm²=10cm²
14cm+25cm=100cm
39=100
What is the volume in cubic inches
Answers
Answer:
80 cubic inches
Step-by-step explanation:
Hey there!
In order to find the volume, you need to split this shape in two parts
We are going to take the big rectangle and the small rectangle as our two shapes
The bigger rectangle has dimensions 5.5 x 6 x 2 which is 66 cubic inches
So now we need to get the volume of the smaller rectangle which has the dimensions: 2x2x3.5 which is 14 cubic inches
Now we add both volumes
66+14 is 80
So the total volume is 80 cubic inches
Work-
7.5•3.5•2=52.5
5.5•2.5•2=27.5
52.5+27.5=80
Two triangles are similar. The sides of the first triangle are 8, 9, and 12. The smallest side
of the second triangle is 10. Find the other two side lengths.
Answers
Answer:
10,11.25,15
Step-by-step explanation:
we use linear scale factor you had mentioned that the triangles are similar so the smallest side in the first triangle is 8 and in tje other triangle it is 10
those two sides are equal which means 8 is equal to ten so if 8 is equal to 10 what about 9.if you cross multiply you get 11.25 then you do the same for 12 and get 15
8=10
9=11.25
12=15
64.89% of 407.68cm
Give your answer rounded to 2dp
Answers
Answer: 264.54cm
Step-by-step explanation:
407.68x0.6489=264.543552264.543552 rounded to 2 decimal points is 264.54Betty's bedroom is 18ft
long and 25 ft wide. She
wants to install the
hardwood flooring. The
cost is $6.00 per square
foot. How much is the
total cost for room
flooring?
Answers
Answer:
You'll need to find the area first.
18ft x 25ft= 450ft
Area is 450ft.
Area divided by $6.00 = 75
The total cost is $75 dollar for the whole room flooring.