john wants to build a slide for his daughter's tree house. the slide is made from aluminum material that is cut from a roll. The aluminum materials is sold by the foot. The tree house is 6 feet off the ground and he wants the slide to be built at a 60 angle . triangle PQR is a right triangle.
Will reward brainliest please show all work
Answers
Answer:7 ft
Step-by-step explanation:
Given
Height of tree house is \(6\ ft\)
inclination of slide \(\theta =60^{\circ}\)
In \(\triangle PQR\) we can write
\(\sin \theta =\frac{PQ}{PR}\)
\(\sin 60=\frac{6}{PR}\)
\(PR=\frac{6}{\sin 60^{\circ}}\)
\(PR=\frac{6\times 2}{\sqrt{3}}\)
\(PR=6.928\approx 7\ ft\)
So, \(7 \ft\) of aluminium is required for slide
Related Questions
(Urgent!) Please answer these quick, show how you did each as well.
Answers
Answer:
1) A = π(14 cm)² = 196π cm²
= about 616 cm²
2) A = π(7.5 ft)² = (15/2)²π ft² = 225π/4 ft²
= about 177 ft²
Answer:
circle: 616 cm²target: 1.77 ft²tortilla: 113.10 in²Step-by-step explanation:
You want the areas of the circle figures:
circle, radius 14 cmtarget, diameter 1.5 fttortilla, diameter 12 inAreaThe area of a circle is given by the formulas ...
A = πr² = (π/4)d² . . . . . where r is the radius, d is the diameter = 2r
CircleThe area of the circle of radius 14 cm is ...
A = π(14 cm)² ≈ 616 cm²
TargetThe area of the target with diameter 1.5 ft is ...
A = (π/4)(1.5 ft)² ≈ 1.77 ft²
TortillaThe area of a 12-inch tortilla is ...
A = (π/4)(12 in)² ≈ 113.10 in²
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What is the definition of Probability
Answers
Answer:
the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible
Which diagram can be used to prove AABC – ADEC using similarity transformations?
А
E
B
D
А
D
В
С
Answers
The diagram that can be used to prove \(\triangle ABC \sim \triangle DEC\) is (b)
Similar triangles may or may not have congruent corresponding sides, but the corresponding angles must be congruent.
The above means that,
All three angles of the two triangles must be congruentThe three sides must be in equivalent proportions.Using the above highlight, we can conclude that the diagram that can be used to prove \(\triangle ABC \sim \triangle DEC\) is (b) see attachment
Read more about similar triangles at:
https://brainly.com/question/9166513
Geometry
Answer with a proper explanation
Answers
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
The polygon has 5 sides.
Step-by-step explanation:
Given in the diagram, the angle between the ends of each side is given i.e. 24degrees between ends of a side from the centre. Or it can also be said that each side of the polygon subtends an angle at the centre 'O' i.e. each 24*.
=> We know that sum of angles around a point = 360*, so sum of angles around centre = 360*
And 24* in the centre subtends a side of the polygon;
Using the logic - no. of sides = 360*/24* = 15 = 15 sides
1. What is the distance between the points (4,-7) and (-5,-7)?
A. 1 unit B. 3 units C. 7 units D. 9 units.
2. Fill in the blanks. Write the coordinates of two points that are the given distance from these points and horizontal/vertical:
2. 5 units from (-1,-2) ( ,-2 and ( ,-2)
3. 8 units from (2,4) (2, ) and (2, )
4. 3 units from (-7,-5) (-7, ) and (-7, )
5. 6 units from (4,-1) (4, ) and (4, )
6. 10 units from (-1,9) ( ,9) and ( ,9)
7. 7 units from (-3,2) ( ,2) and ( ,2)
Answers
Answer:D. 9 units 2. (-6,-
Step-by-step explanation:What is the distance between the points (4,-7) and (-5,-7)? A. 1 unit B. 3 units C. 7 units D. 9 units. 2. Fill in the blanks. Write the coordinates of two points that are the given distance from these points and horizontal/vertical: 2. 5 units from (-1,-2) ( ,-2 and ( ,-2) 3. 8 units from (2,4) (2, ) and (2, ) 4. 3 units from (-7,-5) (-7, ) and (-7, ) 5. 6 units from (4,-1) (4, ) and (4, ) 6. 10 units from (-1,9) ( ,9) and ( ,9) 7. 7 units from (-3,2) ( ,2) and ( ,2)
Answer:
1. D
Step-by-step explanation:
You can add the X coordinates together and you will get the length (sorry I can't answer the others ones I don't have enough time rn)
ANSWER FAST I DON'T UNDERSTAND?
Answers
Answer:
Step-by-step explanation:
I would ask my teacher for help if no, then it seems like you would mark a line in the numbers line or smth just giving you an idea sorry if this never helped :(
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
PLEASE HURRY!!!!!!
Match the following items by evaluating the expression for x = -2.
x ⁻²
x ⁻¹
x ₀
x ¹
x ²
Options: 4, 1/4, -1/2, -2, and 1 (you can use them more than once)
Answers
Step-by-step explanation:
Using x = -2, we can evaluate each expression as follows:
x ⁻² = (-2)⁻² = 1/(-2)² = 1/4
x ⁻¹ = (-2)⁻¹ = -1/2
x ₀ = -2
x ¹ = -2
x ² = (-2)² = 4
Matching these values with the given options, we get:
x ⁻² = 1/4
x ⁻¹ = -1/2
x ₀ = -2
x ¹ = -2
x ² = 4
So the match is:
x⁻² = 1/4
x⁻¹ = -1/2
x₀ = -2
x¹ = -2
x² = 4
Answer:
1/4-1/21-24Step-by-step explanation:
x^-² = 1/x² = 1/(-2)² = 1/4x^-¹ = 1/x = 1/(-2) = -1/2x⁰ = 1 (since any number raise to zero equal to one)x¹ = (-2)¹ = -2x² = (-2)² = 4pls mrk me brainliest
Hi! Can someone help me with the find the distance between two points. Thank you!
Answers
Answer:
20
Step-by-step explanation:
Using the distance formula
Answer: all you got to do is count all the space and you well get close to the -10 to be 6 -7
Step-by-step explanation:
10.a jar of 70 candies has the following colors: 28 orange, 7 white, 14 brown, and 21 yellow.what is the probability of randomly drawing a candy that is not brown, replacing it, and then drawing a orange candy?
Answers
The total number of candies in the jar is 70, out of which 14 are brown. Therefore, the number of candies that are not brown is 70 - 14 = 56.
To find the probability of drawing a candy that is not brown, replacing it, and then drawing an orange candy, we can use the multiplication rule of probability. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.
So, the probability of drawing a candy that is not brown on the first draw is 56/70. After replacing the candy, there are still 70 candies in the jar, so the probability of drawing an orange candy on the second draw is 28/70.
Multiplying these probabilities, we get:
(56/70) x (28/70) = 0.16
Therefore, the probability of randomly drawing a candy that is not brown, replacing it, and then drawing an orange candy is 0.16 or 16%.
PLEASE HELP ME ASAP I'M HORRIBLE AT MATH
Solve for n.
36=15n
Simplify your answer as much as possible.
Please don't make a complicated answer, I just want to know HOW to do it so I can do it on my own thank you! <3
Answers
Answer:
\(n = \frac{12}{5}\) or 2.4
Step-by-step explanation:
36 = 15n
Simply divide both sides by 15 to isolate n:
\(\frac{36}{15} = \frac{15n}{15}\)
\(\frac{36}{15} = n\)
\(n = \frac{12}{5}\) or 2.4
Hope this helps!
help I need help :))))
Answers
Answer:
Um i think its B
Step-by-step explanation:
Explain why 0 divided by any number is either 0 or infinity.
Answers
Step-by-step explanation:
Division as the inverse of multiplication
But any number multiplied by 0 is 0 and so there is no number that solves the equation. ... In general, a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined.
Answer:
0 divided by itself is undefined so we use infinity or 0 to describe it because infinity has no limits and it doesn’t really exist so I wouldn’t say it equals infinity or 0 but it is undefined. I hope it helps! Let me know if you need more help :D
pls mark brainliest !
The school asked students to help decide what to name the school gym. Each student was given a list of six names and asked to choose one. What type of graph would be the most appropriate to graph the results?
A. bar graph
B. line graph
C. histogram
D. circle graph
Answers
Answer:A
Step-by-step explanation:
This would be the easies to understand in my opion so that is what i would use try this one. Can i get a brainliss??????
Imagine below explains, please help! This is my last question on my homework.
Answers
2 ⇒ 1
3 ⇒ 3
4 ⇒ 2
5 ⇒ 1
6 ⇒ 3
7 ⇒ 5
8 ⇒ 2
9 ⇒ 4
10 ⇒ 0
11 ⇒ 2
12 ⇒ 2
Hope my answer helps you✌️
Mark BRAINLIEST
How do I solve this fraction 2/5×5/9?
Answers
Answer:
2/5 x 5/9 = 10/45
Simplified: 2/9
Good Luck! I hope this helps! :)
What do you call it when 50 people stand on a wooden dock math worksheet answers
Answers
Answer:
When two angles in a plane share a vertex and a side but no common interior points, they are called ADJACENT angles
Step-by-step explanation:
brainlyness, please
Answer: When two angles in a plane share a vertex and a side but no common interior points, they are called ADJACENT angles.
Step-by-step explanation:
A knitting group used 248 yards of yarn to Knit tassels for snow hats. If 1/2 yard of yarn is used for each tassel,how many tassels did the Knitting group make?
Answers
Answer:
124
Because If u divide 248 by 2 you get 124
A teacher randomly selects one student from a group of students. 12 students are wearing a black shirt, 8 are wearing a red shirt, and 8 are wearing a blue shirt. What is the PROBABILITY that the selected student is wearing a BLUE shirt? Enter your answer as a fraction
Answers
8 students are wearing a blue shirt so the probability is 8/28
Use coins to 4/22 of a dollar.
Answers
!Help Help Help! lols
Answers
Answer:
4
Step-by-step explanation:
Because 11 x 4 = 44
Since the formula is bxh/2.
It would be written like this...
11x8/2=44
HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!
Answers
x = 25
Write the main features of the right-angled triangle and list some of its properties.
Answers
Answer: A right angle is also equal to 90 degrees The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
The cable provider's "triple play" package offers a land line, internet service, and cable TV for one fixed price. If you already subscribe to their cell phone service they offer an additional 12% off the price of the triple play package. If the discounted price of the triple play is $132, what is the price of the package without the discount?
Answers
Answer:
$166.16
Step-by-step explanation:
The price of the triple play package without the discount is $150.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Discount for the triple play package if you already subscribe to their cell phone service = 12%
Price of the triple play package with discount = $132
Let x be the price of the triple package without discount.
x - (x × 12%) is the discounted price of the package.
x - (12% × x) = 132
x - (12/100 × x) = 132
x - (0.12 x) = 132
0.88x = 132
x = 132 / 0.88
x = 150
Hence the price of the package without discount is $150.
To learn more about Percentage, click on the link given below :
https://brainly.com/question/28998211
#SPJ2
Answer this question please and thank you
Answers
Answer:
\(8^2, 4^3, 2^6\)
Step-by-step explanation:
8 x 8 = 64
4 x 4 x 4 = 64
2 x 2 x 2 x 2 x 2 x 2 = 64
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
This Stem-and-Leaf Graph represents the students’ test scores in History. What is the median for the data in this Stem-and-Leaf plot?
A. 52
B. 59
C. 65
D. 73
Answers
Answer:
C. 65
Step-by-step explanation:
The 5 stem has scores of 52, 55, and 57.
The 6 stem has scores of 64, and 66.
The 7 stem has scores of 73, 75, and 79.
Together, the data is: 52, 55, 57, 64, 66, 73, 75, and 79.
The median is the middle number. We can cross out the two outside numbers and go in from there.
52 and 79 are crossed out. 55 and 75 are crossed out. 57 and 73 are crossed out.
When there are two numbers in the middle instead of one (ideally, the one left after this process is the answer), you go between those. Between 64 and 66 is 65.
Find the Surface Area of the Pyramid. Round to the NEAREST TENTH.
Answers
Answer:
Step-by-step explanation:
The side triangles are: 352.35
Middle triangle is: 113.4
352.35 + 113.4 = 465.75
Answer:
465.75 or 465.8 rounded to the nearest tenth
Step-by-step explanation:
You would multiply 16.2 and 14.5 and divide by 2 to get 117.45. You then multiply by 3 for the 3 sides to get 352.35. Lastly, to find the area of the base you would need to multiply 16.2 and 14 and divide it by two to get 113.4. Add it with the 3 sides and you get 465.75.
what is
24,000 divided by 8
Answers
Answer:
3000
Step-by-step explanation:
24,000 divided by 8 is 3000
PLS HURRY GIVING BRAINLIEST
(05.03)Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.
Answers
Answer:
220.5 sq feet
Step-by-step explanation:
Given : Bev has to cut her grandma's grass this weekend
Six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.
To Find : Area of Polygon
Solution:
Area of triangle = (1/2) bh
= (1/2) * 15 * 15
= 112.5 sq feet
= (1/2) * 4 * 4
= 8 sq feet
Area of rectangle = 25 x 4 = 100 sq feet
Total area =112.5 + 8 + 100
= 220.5 sq feet
Area of Polygon = 220.5 sq feet
Answer:
398 ft²
Step-by-step explanation:
Assuming you have correctly described the total area in terms of non-overlapping triangles and a rectangle, you can put the dimensions into the appropriate area formula and add up the pieces.
Triangle area = 1/2·bh
Rectangle area = bh
___
So, the first triangle has an area of ...
1/2·(20 ft)(20 ft) = 200 ft²
The second triangle has an area of ...
1/2·(6 ft)(6 ft) = 18 ft²
The rectangle has an area of ...
(30 ft)(6 ft) = 180 ft²
And the area total is ...
200 ft² +18 ft² +180 ft² = 398 ft²