A flat roof rises at a 25° angle
from the front wall of a storage
shed to the back wall. The front
wall is 11. 5 feet tall and the back
wall is 18. 5 feet tall. Find the
length of the roofline and the
depth of the shed from front to
back. Round your answers to the
nearest tenth of a foot.
Answers
The length of the roof line is equal to 17.4 feet and the depth of the shed is 15.07 feet.
Given the following data:
Height of front wall = 11.5 feet.Height of back wall = 20.2 feet.Angle of inclination = 25°How to calculate the length of the roofline.First of all, we would assign a variable to the length of the roof line and depth of the shed from front to back respectively.
Let the length of the roof line be h.
Let the depth of the shed be d.
From the image attached, we would determine the length of the opposite side as follows:
[tex]Opp=20.2 -11.5[/tex]
Opposite side = 8.7 feet.
Next, we would determine the length of the roof line by using Sine trigonometric:
[tex]Sin \theta = \frac{Opp}{Hyp} \\\\Sin30 =\frac{8.7}{h} \\\\0.5=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}[/tex]
h = 17.4 feet.
For the depth;
We would determine the length of the roof line by using Tan trigonometric:
[tex]Tan \theta =\frac{Opp}{Adj} \\\\Tan 30 =\frac{8.7}{d} \\\\0.5774=\frac{8.7}{d}\\\\d=\frac{8.7}{0.5774}[/tex]
d = 15.07 feet.
Read more on trigonometry functions here: https://brainly.com/question/4515552
Related Questions
Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB. Lines C E and A D intersect at the point B. Angle A B C is labeled 37 degrees. Select all the true statements. Group of answer choices The measure of angle LaTeX: CBA C B A is equal to the measure of angle LaTeX: DBE D B E . The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 180 degrees. The measure of angle LaTeX: CBD C B D is equal to the measure of angle LaTeX: ABE A B E . The sum of the measures of angles LaTeX: CBD C B D and LaTeX: CBA C B A is 180 degrees. The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 90 degrees.
Answers
*see attachment below for the figure referred to
Answer:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Since lines CE and AD bisects at D, they form two pairs of vertical angles that are congruent to each other. The vertical angle pairs formed are:
<CBD and <ABE;
<CBA and <DBE
Thus:
m<CBD = m<ABE;
m<CBA = <DBE = 37°
Also, m<CBA + m<CBD = 180° (supplementary linear pair)
m<ABE + m<DBE = 180° (supplementary linear pair)
Therefore, the following statements are TRUE:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then, he notices that
the store only sells avocados in bags of 3 for $5. He wants to buy as many avocados as he can with his
remaining money.
Let B represent the number of bags of avocados that Alonso buys.Which inequality describes this scenario? It is the night largest number of avocados the Alonso can afford 
Answers
Answer:
21- 2.50 = 18.50
he can only buy 3, 5 10 15. he can buy 9.
A box of 200 baseball cards included 10 cards that featured the Los Angeles Dodgers.
1. What fraction of the cards featured the LA Dodgers. Use simplest form.
2. What is the amount as a decimal?
3. What percent of the cards featured the LA Dodgers?
Answers
Answer:
1. 1/20
2. 0.05
3. 5%
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
PLEASE HELP I really need it!!! Steve deposited 2,500$ to the bank. The account has an annual simple interest rate of 4%. After 3 years how much simple interest will Steve Earn? Please Help ASAP
Answers
Answer:
$300
Step-by-step explanation:
You want to calculate the interest on $2500 at 4% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $2500.00.
r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 2500 × 0.04 × 3 to get that:
The interest is: $300.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 2500.00 + 300.00 = 2800.00
A snail traveled 2 feet in 90. How far will it travel in 6 hours?
Answers
Answer:
it will travel 8 minutes
Step-by-step explanation:
Answer:
[tex]\frac{2}{15}[/tex] feet
Step-by-step explanation:
Set up a proportion: [tex]\frac{2}{90} = \frac{x}{6}[/tex] Cross multiply, then divide: 2 × 6 = 12, 12 ÷ 90 = [tex]\frac{2}{15}[/tex]I hope this helps!
Mddffffvcfffff ggbtevtrvyrvyr eg rh rhbrybryvr th tu rybry th th ht
Answers
Answer:
Yup, same.
Step-by-step explanation:
Answer:
(keyboard spam, nice)
can you help me with this please
Answers
Answer:
f(3) = -9
Step-by-step explanation:
Given that,
→ f(x) = -7x + 12
Then the value of f(3) will be,
→ f(3) = -7(3) + 12
→ f(3) = -21 + 12
→ [ f(3) = -9 ]
Hence, the value is -9.
I need help please!!!
Answers
Answer:
it's yes
Step-by-step explanation:
5(x−2)−3(2−x) pls answer pls i need help
Answers
5x-10-6+3x
Then combine like terms
Then your answer should be
8x-16
For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership?
Answers
Answer:
adding the $35 with the $55 be up to 90 . I think that the answer to it hope is helpful
[-7]+7=
i got zero but my thing says its wrong :/
Answers
Answer:
0
Step-by-step explanation:
-7 + 7 should be equal to 0. Maybe you wrote the numbers or the sign wrong..?
Answer:
=0
Step-by-step explanation:
ese es la respuesta mijo
When do you use a Vertex Form y=a(x – h)2 + k ? What information do you get from a Vertex Form?
Please tell me
Answers
y = a(x - h)² + k is the vertex form of an equation of a parabola with vertex (h,k)
We get the coordinates of the vertex of parabola from that form: (h, k)
We also know if the parabola goes up or down: a>0 or a<0
We can tell how many roots has the equation:
(a>0 and q>0) or (a<0 and q<0) ⇒ no roots
a≠0 and q=0 ⇒ one root: x₀=p
(a>0 and q<0) or (a<0 and q>0) ⇒ two roots
We can also determine the roots (if they exist):
a(x - h)² + k = 0
a(x - h)² = - k
(x - h)² = - k/a
x - h = √[-k/a] ∨ x - h = - √[-k/a]
x = √[-k/a] + h ∨ x = - √[-k/a] + h
Usually you use this form to find the equation of parabola when you have got given the vertex and some other point from that parabola.
A glass is 1/4
full. Then 70cm3 of orange juice is poured in.
The glass is now 3/5
full. What is the total volume of the glass?
Can you please tell me how to do it as well. Thanks
Answers
(ii) Write 4.31 x 10^3 as an ordinary number.
Answers
Answer: 4310
Step-by-step explanation: Because it is a positive exponent instead of negative, you would move the decimal to the right 3 places
At Wal Mart a 32 ounce gatorade cost $ 1.99 and at Target a 24 ounce gatorade costs $1.09. Which store has the better buy?
Answers
I believe target has the better deal.
help me !!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
The MAD is 2.
A rectangular park is w feet wide. Its length is 25 feet larger than its width. Record using algebra:
What is the length of the park?
Answers
w= w
2w+25=0
2w=-25
w=-12.5
w=12.5 (absolute value)
l= 37.5feet
Lydia missed 74 questions on her multiple choice math final and earned a grade of
63%. How many total questions were on the final exam?
Answers
Answer:
117 questions
Step-by-step explanation:
Chad and his two friends are picking blueberries at a local farm. Chad picked 2 pounds of blueberries, and one of his friends picked 1 pounds. If they ended up with a total of 5 pounds, how many pounds did Chad's other friend pick? Express your answer as a mixed number.
Answers
Answer:
Chad's other friend pick 2 pounds of blue berries.
Step-by-step explanation:
Chad picked 2 pounds of blue berries.
One of his friends picked 1 pound of blue berries.
Totally there is 5 pounds.
So, other friend picked blue berries = 5-2-1 =2 pounds
We get answer as whole number. So no need to write it in mixed form.
Find the value of f(-5).
Answers
Answer:
-5f
Step-by-step explanation:
move -5 to the left of f
What is 3.5 x 10-4 in standard form?
Answers
Answer:
The answer is 35000.
Step-by-step explanation:
Solve for x2:
y2 − y1 = m(x2 − x1)
this is literal equations btw
Answers
Answer:
x2 = y2/m - y1/m + x1
Step-by-step explanation:
Expand
y2 - y1 = mx2 - mx1
Rearrange
y2 - y1 + mx1 = mx2
Divide both sides by m to make x2 on its own
y2/m - y1/m + x1 (m's cancel out) = x2
Hence:
x2 = y2/m - y1/m + x1
Answer:
x2 = x1 + (y2 - y1)/mStep-by-step explanation:
Given equation
y2 − y1 = m(x2 − x1)Solving for x2
y2 − y1 = m(x2 − x1) ⇒ divide both sides by m(y2 - y1)/m = x2 - x1 ⇒ add x1 to both sidesx2 = x1 + (y2 - y1)/mor
x2 = x1 + y2/m - y1/ma cookie recipe uses 5/6 cups of sugar lindsey is making 1 1/2 times what the recipe calls for how much sugar is she using
Answers
Answer:
1 1/4 cups of sugar
Step-by-step explanation:
5/6 x 1 1/2 = 1 1/4
Answer:
5/4 cup of sugar.
Step-by-step explanation:
The recipe calls for 5/6 of a cup of sugar, so if you're making 1.5 times what the recipe calls for, you multiply 5/6 by 3/2 (or 1.5 if you prefer decimals) which would give you 15/12. Then simplify down to get 5/4 (or 1.25) cups of sugar.
Note: 5/4 also equals 1 1/4, they are both correct, it just depends on which way you choose to write it, or how your teacher wants you to write it.
Which of the following is an advantage of a low center of gravity?
It is easier to stay balanced
It is easier to lift your body up
It is easier to fly
It is easier to jump
(I could not find an option for science so I just made the subject math instead but this is sciences)
Answers
Answer:
It is easier to stay balanced
Step-by-step explanation:
The difference of a number n and 1 squared is 25
Answers
Answer:
6
Step-by-step explanation:
6-1=5
5 x 5= 25
Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, what would the inequality be?
Answers
The inequality is 0.75x greater than or equal to y
Step-by-step explanation:
Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.
To find : Which inequality represents this situation?
Solution : He plays trumpet for a minimum of 45 minutes
If x is the number of days that Lionel practices then he practices for at least
hours
y is the total number of hours he spends practicing
So, the inequality form is:
i.e, 0.75x is greater than y.
Like I said I’m horrible at math so I’m just gonna keep posting these.
Answers
Answer:
slope is -2/1
Step-by-step explanation:
when you find slope of a line, its rise over run
so when ever the line hits a point, it goes 2 down and 1 right (if you explain this simply)
Answer:
m= -2
Step-by-step explanation:
The two points are 0,2 and 1,0 and the equation used between them spits out -2
A lab assistant tracked an object’s travel time in hours. However, the lab director wants the time tracked in minutes.
A 2-column table with 4 rows. Column 1 is labeled hours with entries 0.5, 0.75, 1.5, 2.5. Column 2 is labeled Minutes with entries 30, 45, 90, blank.
Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours?
Answers
Answer:
150
Step-by-step explanation:
Answer: 150!
Step-by-step explanation:
i did the edge test, i got it right. trust me, i dont lie. :) have a nice day<3
proof:
Can you help me plz!
I hope you can see it
Answers
Step-by-step explanation:
a. 102
b. 78
c. 102
d. 102
e. 102
f. 78
I WILL GIVE YOU BRAINLIEST IF YOU CAN ANSWER PLEASE !?
Its propertys i have yo find which property it is please help?.
Answers
Answer:
Given
distributive property
Subtraction property of equality
Addition property of equality
Division property of equality
Solution
Step-by-step explanation: