A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as shown. A triangle has side lengths 11 centimeters, 11 centimeters, and hypotenuse of StartRoot 242 EndRoot centimeters. [Not drawn to scale] Will the shelf fit snugly in a 90º corner?
Answers
Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:
[tex]Hypotenuse = \sqrt{242[/tex]
[tex]Side\ 1 = Side\ 2 = 11[/tex]
To check for right-angle triangle, we make use of:
[tex]Side\ 1^2 + Side\ 2^2 = Hypotenuse^2[/tex]
This gives:
[tex]11^2 + 11^2 = \sqrt{242}^2[/tex]
[tex]121 + 121 = \sqrt{242}^2[/tex]
[tex]242 = \sqrt{242}^2[/tex]
[tex]242 = 242[/tex]
This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
Answer:
A
Step-by-step explanation:
Related Questions
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
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Answer:
5π
Step-by-step explanation:
just need to find half of the circumference
Slove the system of linear equations by graphing y=-x+7 y=x-1
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add the two linear equations together: 2y = 6
now that we know y = 3, solve for x by substituting it in
Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?
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Options:
A. 18, 20, 20, 22, 25
B. 20, 20, 20, 25, 25
C. 16, 19, 21, 22, 22
D. 20, 20, 21, 22, 22
Answer:
A. 18, 20, 20, 22, 25
Step-by-step explanation:
Required
Which list has a mean of 21 and median of 20
Each of the list have 5 numbers and they've all been sorted.
The median is the number at the 3rd position (i.e. the middle number)
So, list C and D are out because they do not have a median of 20.
Next, calculate the mean of lists A and B
[tex]\bar x = \frac{\sum x}{n}[/tex]
A. 18, 20, 20, 22, 25
[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]
[tex]\bar x = \frac{105}{5}[/tex]
[tex]\bar x = 21[/tex]
B. 20, 20, 20, 25, 25
[tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]
[tex]\bar x = \frac{110}{5}[/tex]
[tex]\bar x = 22[/tex]
Only list A has a median value of 20 and a mean value of 21
Which function matches the table?
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Answer:
The A matches the table x+3
Can someone plz help me on this its due in 30 mins.
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Answer:
A, C, and F
Step-by-step explanation:
help please 100 point
Answers
Answer:
Solution given:
we have
<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]
So
3x-13+ 2x+4=116°
5x-9=116°
5x=116°+9°
x=125/5
x=25
Now
<A=3×25-13=62°
<B=2×25+4=54°
Answer:
[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]
The money spent on gym classes is proportional to the number of gym classes taken. Max spent $45.90 to take 6 gym classes.
What is the amount of money, in dollars, spent per gym class?
Answers
Answer:
$7.65
Step-by-step explanation:
its the right answer, TRUST ME!!!!
i'm really stuck on this part. once i figure out how i'll mark brainliest (however you spell it).
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just the first one 11 ........
What is the product of the binomials below?
(3x + 6)(4x+2)
A. 7x2 +30x+12
B. 12x2 + 30x + 12
C. 7x2 + 30x + 8
D. 12x2 + 30x+8
SUM
PREVIOUS
Answers
Answer:
12x^2 + 30x+12
Step-by-step explanation:
3x+6) (4x+2)
3x 6
12x^2 24x 4x
6x 12 2
use a punnet square type deal here.
12x^2 + 24x + 6x + 12
12x^2 + 30x+12
And so your answer should be: 12x^2 + 30x+12
If your having trouble with math go to Wolframalpha.com
Answers
Answer:
Thanks for letting me know I might try that later today
Step-by-step explanation:
:)
HELP WILL MARK BRAINLIEST
Answers
Answer:
The answer is a...............
Helpppp! I’ll mark brainliest
Answers
Answer:
1 is comutative 2 is distributive 3 is addition and 4 is multiplication
Kiteretsuki builds a robot to help him paint a fence. The robot has a paint roller of width 1 foot, that works like a ball-point pen, so it has a steady flow of ink. Kiteretsuki sets the robot to work and leaves but doesn't realize that the robot has a programming error.
It paints one foot of the fence from left to right, then stops and paints a foot in the right to left direction. It then starts moving from left to right again, but this time moving two feet instead of one. However, after this, it only moves back to its previous position. The robot carries on in this fashion, increasing its reach by 1 foot every left to right movement and then returning to its previous starting point.
If Kiteretsuki returns after the robot have moved a total of 11 times, how many inches of the fence has the robot painted in that time?
Answers
Answer:
72 inches
Step-by-step explanation:
Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.
The patterns is as follows:
move 1: moves to the right by 1 foot.
moves 2: moves to the left.
moves 3: moves to the right by 2 feet.
moves 4: moves to the left
moves 5: moves to the right by 3 feet.d
moves 6: moves to the left
moves 7: moves to the right by 4 feet.
moves 8: moves to the left
moves 9: moves to the right by 5 feet.
moves 10: moves to the left
moves 11: moves to the right by 6 feet.
We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.
So, the robot has painted 72 inches of the fence before Kiteretsuki returns.
WILL GIVE BRAINLIEST identify the domain of the function
Answers
Answer: The horizontal extent of the graph is -3 to 1, so the domain of f is (-3,1]
Step-by-step explanation:
The range is [-4,0]
Greg’s backyard is 47 feet wide. How many yards and feet is this?
Answers
Answer:
15 yards amd 3 feet.
Step-by-step explanation:
I wish to get extra three points :)
Answer:
This is 15 yards and 3 feets.
Helpoopooo please !!!!!!
Answers
Answer:
I believe the answer is 2/3
Step-by-step explanation:
With the values of sin 30°, cos 30°, sin 60° and cos 60°
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i hope this helps!:)
Can someone answer all of them? Tysm!
Answers
In a river bank
you can put the answers from the end
1.) 1/12
2.) 2/13
3.) 8/41
4.) 1/4
5.) 11/74
6.) 2/35
7.) 15/58
8.) 5/18
9.) 1/7
10.) 1/13
On Wednesday It reined 2 1/2 inches this was of on inch more than how much it rained the week before. What was the rainfall amount the week before ?
Answers
so 1.5 inches the week before
Given that m<6=72 and m<14=72 determine which lines are parallel
Answers
Answer:
Lines m and n are parallel.
Step-by-step explanation:
< 6 and < 14 are both equal to 72 degrees and they are corresponding angles for lines m and n.
please help___________
Answers
&
ANSWER: 66.8m
(I’m assuming shaded region is the whole shape)
Area triangle = 1/2bxh
96= 1/2(16)h
96=8h
h=12m
If h=12m then circle diameter = 12m
radius=12 ÷2= 6m
Area of circle= πr²
Area of semi circle = 1/2 π r²
1/2 π r²= 1/2 π(6²) =18πm² or 56.5 m²
56.5+96= 152.5 m²
ANSWER: 152.5 m²
PERIMETER
|YZ|=16
|XY|=12
|XZ|=
a²+b²=c²
(16 ²)+(12 ²)=c ²
c ²=400
c=20m
Perimeter of circle= 2πr
Perimeter of semicircle= πr = π(6)= 18.8m
[18.8+20+12+16=66.8m]
ANSWER: 66.8m
can someone dooo ittttttttt
Answers
Answer:
i dont know
Step-by-step explanation:
convert 123 percent into fraction
Answers
Answer: 123/100
1. 123% means 123 out of 100
1.23 is a decimaland 123/100 OR 123% is the percentage for 123/100.
HOW TO WRITE 123/100 AS A DECMAL?
Step-by-step explanation:
Fraction=123/101
Decmial=1.21782
percentage=121.782%
i need to know what -2(3x)+56
Answers
Answer:
-6x + 56
Step-by-step explanation:
-2(3x) + 56
-6x + 56
NEED HELP!! 50 points!!!
Answers
Answer: 3, The initial velocity of the rocket
Answer:
the initial velocity of the rocket
Step-by-step explanation:
3333333 help me help me
Answers
Answer:
C is the answer thank you
Write the equation of the line if the slope is 6 and the y-intercept is -2.
Answers
Answer:
y=6x-2
Step-by-step explanation:
slope=6
y-intercept=-2
y=6x-2
What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Answers
The question is incomplete. The complete question is :
A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Solution :
From the figure, we apply the Pythagoras theorem.
Finding the lengths of the two side walks :
1st Step
In the square section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+15^2}$[/tex]
[tex]$=\sqrt{450}$[/tex]
= 21.21 m
2nd step
In the rectangular section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+8^2}$[/tex]
[tex]$=\sqrt{289}$[/tex]
= 17 m
3rd step
Therefore, the total length of the two diagonals of the two section is
= 17 + 21.21
= 38.21 m
or 38.2 m
Answer: it's D (38.2nm)
Step-by-step explanation:
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees What is the value of cos x°? (1 point) 8 ÷ 17 17 ÷ 8 15 ÷ 17 8 ÷ 15 I can't put in the photo. So, description. h- 17cm o- 8cm a- 15cm. This is a right triangle btw. (this is 9th grade work)
Answers
Answer:
15 ÷ 17
Step-by-step explanation:
Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,
From trigonometric ratios, cosx° = adjacent/hypotenuse
= 15 cm/17 cm
= 15/17
= 15 ÷ 17
Which point is a solution to the inequality in this graph
Answers
Given:
The graph of an inequality.
To find:
The point which is a solution of the given graph of inequality.
Solution:
From the given graph it is clear that the boundary line of the graph is a dotted line. It means the points lie in shaded region are in the solution set but the points on the line are not included in the solution set.
The points (3,2) and (-3,-6) are lie on the boundary line. it means they are not the solution of the inequality represented by the given graph.
Point (5,0) lies on the positive x-axis at the distance of 5 units from the origin and it doesn't lies in the shaded region. So, (5,0) is not a solution.
Point (0,5) lies on the negative y-axis at the distance of 5 units from the origin and it lies in the shaded region. So, (0,5) is a solution.
Therefore, the correct option is B.