Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals
Answers
Answer:
NO. Ada is not correct.
Step-by-step explanation:
Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 16 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 16^2 = c^2 [/tex]
[tex] 64 + 256 = c^2 [/tex]
[tex] 320 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{320} = \sqrt{c^2} [/tex]
[tex] 17.9 = c^2 [/tex] (nearest tenth)
Length of diagonal SQ = 17.9 in
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 8 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 8^2 = c^2 [/tex]
[tex] 64 + 64 = c^2 [/tex]
[tex] 128 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{128} = \sqrt{c^2} [/tex]
[tex] 11.3 = c^2 [/tex] (nearest tenth)
Length of diagonal OM = 11.3 in.
SQ is not two times the length of OM.
Therefore, Ada is not correct.
Answer:
No Ada is not correct
Step-by-Step Explanation:
The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it.
This would be the Rectangle:
a^2+b^2=c^2
8^2+16^2=c^2
64+256+c^2
320=c^2
√320
17.8
This would be the Square:
a^2+b^2=c^2
8^2+8^2=c^2
64+64=c^2
128=c^2
√128
11.3
Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM.
I hope this helped :3
Related Questions
how can you use table to help solve mixture problems
Answers
Answer:
The table contains one row for each type of “item” that's being mixed, and one column for every fact you know about that item. When you're done, the table will have some holes in it, corresponding to information you don't have.
Step-by-step explanation:
F. The relationship between x and y is not a straight line.
Does anyone know the answer??
Answers
Answer:
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
Step-by-step explanation:
Taking two points from the given line
(3, 0)(-3, -2)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-0}{-3-3}[/tex]
[tex]m=\frac{1}{3}[/tex]
From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.
at x = 0, y=-1
Thus, the y-intercept = -1
We know that the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
substituting the values of m=1/3 and the y-intercept b = -1
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
1. The measures of the angles in a triangle are x, 2x, and 2x - 20. What is the measure of the largest angle?
Answers
Answer:
Sum of the three angles of a triangle = 180 degrees
x+x+20+2 x=180
4 x=160
x=40
The angles are 40,(40+20).(2*40)
Answer 40,60,80
Caritas 37 coins on nickels and dimes in his piggy bank the value of the coins is $3.10 write a system of equations define the variables
Answers
Answer:
x is number of nickels
y is number of dimes
0.05x + 0.10y = 3.10
x + y = 37
Simplify
5.x - 3+27 +7
Answers
Answer:
5x+31
Step-by-step explanation:
Answer:
x2+3x+9
Step-by-step explanation:
X squared plus 3x plus 9, just for clarity. I believe this is the right answer, if not let me know in the comments.
The function y = 0.45x + 8.8 expresses the linear relationship displayed by the scatter plot. Calculate the residual value for x = 12.
A) -0.4
B) -0.2
C) 0.2
D) 0.4
Answers
HELP!
Ella swims four times a week at her club’s pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. Write an equation for the problem.
Answers
Answer: 3x + 15 = 51
x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday gives us an explicit answer, we can just add that to the equation.
Hope this helps :)
The solution to a system of equations is (5,-19) choose two equations that might make up the system
A. y=-3x-6
B. y=2x-23
C. y=-7x+16
D. y=x-17
E. y=-2x-9
Answers
Answer:
E
Step-by-step explanation:
By definition,
Linear equationLinear or first degree equations are of the type ax + b = y, with a≠0, or any other equation in which when operating, transposing terms and simplifying they adopt that expression.
A solution to an equation is a number that can be entered into the variable to make a true number statement.
This caseIn this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.
Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.
A. y=-3×5 -6 → y= -15 -6 → y= -21
B. y=2×5 -23 → y= 10-23 → y= -13
C. y=-7×5+16 → y= -35 +16 → y= -19
D. y=5-17 → y= -12
E. y=-2×5-9 → y= -10 -9 → y= -19
Observing the solutions obtained, the equations that satisfy the solution and make uo the system are option C. and E.
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What is the quotient when (x + 2) is divided into the polynomial 2x^2- 2x - 12?
A. X+ 3 with a remainder of -2
B. 2x-6 with no remainder
C. 2x-5 with no remainder
D. 2x-3 with a remainder of 5
Answers
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answers
Answer:
5,000
Step-by-step explanation:
no interest♀️
Two lines that have the same y intercept and different slopes intersect at exactly one point.
True
False
Answers
Answer:
False. They will be parallel to each other
Answer:
false they would be parallel lines
Pls help! For finalWhich equation can be solved to find x, the measure of to in the diagram
below?
53
A
Answers
He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answers
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]
Hence, the debt per person is 5535383.47 units.
What is the value of s?
units
Answers
Answer:
[tex]s = 17[/tex]
hope this helps
Please give me the brainliest
Have a nice day
Which of the following describes the graph of {x | 2 < x < 2}? an open circle on 2 and arrows pointing out no solution just a closed circle on 2 the entire number line
PLZ HURRY
Answers
Answer:
open circle one and 2
Step-by-step explanation:
there will be open circle because there is no equal sign in the problem....there will be a line segment in between...because basically, u would put an open circle on 1, and open circle on 2 and shading in between
Answer:
The answer is no solution.
Any help is appreciated I will mark you as Brinley
Answers
Answer:
1,3
Step-by-step explanation:
I need help with 13 and 14
Answers
Answer:
13) x = 62
14) x = 2.5
y = 5.88888889
Step-by-step explanation:
x = 62 because x is the alternate interior angle of 62.
37x - 19 = 29x + 1 (subtract 29x on both sides)
8x - 19 = 1 (add 19 on both sides)
8x = 20 (divide by 8)
x = 2.5
Plug 2.5 into 29x + 1 to find 9y + 25
29(2.5) + 1 = 73.5
9y + 25 = 73.5 (subtract 25 on both sides)
9y = 48.5 (divide by 9 on both sides)
y = 5.388888889
It all checks out!
HOPE THIS HELPS!
After 4 hours, the number 2 is used as a factor ? Times
Answers
Answer:
2
Step-by-step explanation:
Answer: It’s 4
Step-by-step explanation:
Rewrite 3 4/11 as an improper fraction
A.23/4
B.37/11
C.18/11
D,23/11
Answers
Answer:
B 37/11
Step-by-step explanation:
Brainliest please
Answer:
B. 37/11
Step-by-step explanation:
Multiply 3 by 11 and get 33
and add 4
37
improper fraction: 37/11
the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.
Answers
Radius(r)= 25 cm = 25/100= 0.25 m
[1 cm = 1/100m]
Height (h)= 3.5 m
Curved surface area of Cylinder= 2πrh
= 2× (22/7) × 0.25 × 3.5
= 2× 22× 0.25 × 0.5
= 2× 0.5 ×22× 0.25
= 1 ×22× 0.25
= 5.5 m²
Curved surface area of 1 Cylindrical column= 5.5 m²
Curved surface area of 10 Cylindrical column= 5.5 × 10= 55 m²
Rate for painting 1 m² of the cylindrical column = ₹ 15.50
Cost of painting 10 cylindrical columns= 55 × 15.50 = ₹ 852.5.
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Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first equation to get x=-5-3y. Han's first step is to isolate 3y in the first equation to get 3y=-5-x. Show that both first steps can be used to solve the system and will yield the same solution.
Answers
Answer:
Yes, they can both be solved and get the same answer.
Step-by-step explanation:
Tyler's way:
Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Han's way:
Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
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Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
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https://brainly.com/question/15165519
You put a barrier around the garden and cover it with a layer of mulch. The barrier costs $1.50 per foot. One bag of mulch covers 8 square feet and costs $6. How much do you spend
Answers
Answer:
I spent $14.5 on the garden
Step-by-step explanation:
This problem can be solved by simply adding the individual costs of the items put in the garden
Cost of the barrier:
We can get the cost of the barrier by first of all determining the perimeter of land the barrier covers. We have a hint in the question given: "One bag of mulch covers 8 square feet "
We can assume the shape of the garden to be a square and the area to be 8 square feet.
The length of the garden will be = [tex]\sqrt{area}[/tex] because the garden is a square.
Length = [tex]\sqrt{8} =2\sqrt{2}[/tex]
perimeter = [tex]4 \times 2\sqrt{2}=4\sqrt{2} feet[/tex]
The barrier costs $1.50 per foot. for [tex]4\sqrt{2}[/tex] feet, =$8.5
Cost of barrier = $8.50
Cost of Mulch
The cost of mulch = $ 6
Total sum of money spent = 8.5 +6 = $14.5
Therefore, I spent $14.5 on the garden
Answer:
149.02
Step-by-step explanation:
51.72 plus 97.33 is 149.02
3n + 1 + 8n2 – 8n – 7 A) 16n? – 11n - 2 B) 16n2 – 5n - 2 C) 16n² – 5n - 6 D) 8n? – 5n - 6
Answers
Answer:
The answer is D.
Step-by-step explanation:
There is only one 8n^2, and that means that it cannot combine with anything.
i need help! what is the y-intercept of the line 2x + 3y = 6?
Answers
Answer:
The y-intercept of this line is 2.
Step-by-step explanation:
To find where this line reaches the y axis, you simply need to assign the value 0 to x, and solve for y:
[tex]2x + 3y = 6\\2(0) + 3y = 6\\3y = 6\\y = 6/3\\y = 2[/tex]
So the y intercept of that line is 2
I need help with that plzzzzzz
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Answer:
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Step-by-step explanation:
I simplied it to 30 and 7 so then I expiremended with different percents and got that 25 percent equals 7.5 so I checked it and is 25 %
Carla can roll 18 pretzels in 12 minutes. How many can she roll in 40 minutes?
Answers
Answer: 60
Step-by-step explanation:
To find how much she rolls in 1 minute, you divide 18 by 12. This gets you 1.5. Multiply 1.5 by 40 and you get 60.
Anyways.....Im failing math :D
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SELENA IS THE BEST SINGER IN THE WORLD OTHER THAN NICKI MINAJA
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Answer:same ;p
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