Answers
Answer:
8 units
Step-by-step explanation:
The two squares have equal areas.
For each square:
area = 32 units^2
For a square:
area = side^2
side^2 = 32
side = sqrt(32)
For the two squares, the length of the side is sqrt(32).
The sides of the squares are the legs of the right triangle.
a^2 + b^2 = c^2
(sqrt(32))^2 + (sqrt(32))^2 = x^2
32 + 32 = x^2
x^2 = 64
x = 8
Answer: 8 units
Answer
8 units
Explanation
The side of one of the squares is the same length as one of the legs on the triangle.
To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.
So the length of one side is the square root of 32.
Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.
The length of one side of the square is the leg of a right triangle.
To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.
[tex]l^{2} + l^{2} = h^{2}[/tex]
The square root of 32 squared is 32.
[tex]32+32=h^{2}[/tex]
[tex]64=h^{2}[/tex]
To find h, you need to find the square root. The square root of 64 is 8.
Therefore, the length of x is 8 units.
Related Questions
SOLVING SYSTEMS:
I just need the work for each equation.
Answers
+ 6 + 6
2x = x + 14
-x -x
x = 14
y = (14) + 8
y = 22
(14 , 22)
I. 2x - 5y = 16
-2x + 20y = -16
15y = 0
/15 /15
y = 0
x - 10(0) = 8
x = 8
(8 , 0)
F. 10x + 6y = -4
2x - 6y = -8
12x = -12
/12 /12
x = -1
2(-1) - 6y = -8
-2 - 6y = -8
+2 +2
-6y = -6
/-6 /-6
y = 1
(-1 , 1)
N. 24x - 3y = 15
2x + 3y = 11
26x = 26
/26 /26
x = 1
2(1) + 3y = 11
2 + 3y = 11
-2 -2
3y = 9
/3 /3
y = 3
(1 , 3)
T. 3x - 2y = -2
6x + 2y = 2
9x = 0
/9 /9
x = 0
-3(0) + 2y = 2
2y = 2
/2 /2
y = 1
(0 , 1)
O. -8x - 4y = 6
5x + 4y = -3
3x = -3
/3 /3
x = -1
-4(-1) - 2y = 3
4 - 2y = 3
-4 -4
-2y = -1
/-2 /-2
y = 1/2
(-1 , 1/2)
I. 8x - 9 = -2x - 4
+2x +2x
10x - 9 = -4
+9 +9
10x = 5
/10 /10
x = 1/2
y = -2(1/2) - 4
y = -1 - 4
y = -5
(1/2 , -5)
D. -6x - 4 = -3x + 5
+3x +3x
-3x - 4 = 5
+4 +4
-3x = 9
/-3 /-3
x = -3
y= -3(-3) + 5
y = 9 + 5
y = 14
(-3 , 14)
S. -9 = -3x - 3y
8 = 4x + 3y
-1 = x
3 = -1 + y
+1 +1
4 = y
(-1 , 4)
R. -5x - 5y = 25
5x - 4y = 2
-9y = 27
/-9 /-9
y = 3
-x - (-3) = 5
-x + 3 = 5
-3 -3
-x = 2
/-1 /-1
x = -2
(-2 , -3)
A. 8y + 3 = 3x
- 3 - 3
8y = 3x - 3
-3x -3x
-3x + 8y = -3
-3x + 8y = -3
Same equation = infinite solutions
K. 8x - 6y = -4
3x + 6y = 4
11x = 0
/11 /11
x = 0
4(0) - 3y = -2
-3y = -2
/-3 /-3
y = 2/3
(0 , 2/3)
T. -5x - 8y = 0
12x + 8y = 56
7x = 56
/7 /7
x = 8
3(8) + 2y = 14
24 + 2y = 14
-24 -24
2y = -10
/2 /2
y = -5
(8 , -5)
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
Answers
I don’t understand so please HELPPPPPPPPPPPPPP
Answers
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answers
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
The numbers 22 and 35 are relatively prime. TrueFalse
Answers
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)
Answers
We can use the equation of tangent as a structure.
[tex]y - f(a) = f'(a)(x - a)[/tex]
Our f(a) is y-point and Our a is x-point..
Looking back at the equation, our f(a) would be 3 and a would be - 4
Therefore the answer is (-4,3)
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answers
Answer:
30 angels
Step-by-step explanation:
Fiteen packs of fruit snacks cost $3. How much do 5 paxks of fruit snack cost?
Answers
15x = 15
X = $1
using the elimination method to solve the system of equations.
3x+6y =36
3x-6y=0
a. 3,6
b. 6,-3
c. 6,3
d. 3,-6
Answers
Answer:
c. (6, 3)
Step-by-step explanation:
subtract
3x + 6y = 36
3x - 6y = 0
12y = 36, y = 3
3x + 6(3) = 36
3x + 18 = 36
3x = 18, x = 6
x = 6, y = 3
Answer:
the answer is b good luck
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answers
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
What are the answers?
Answers
Answer:
Step-by-step explanation:
I need the statements please.
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answers
Answer:
table b i think
Step-by-step explanation:
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answers
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
Which equation can be used to represent the distance D for the times t given in the table?
Answers
Answer: D
Step-by-step explanation:
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answers
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.
Answers
The final score of the basketball game is (54, 63).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, They only scored 6 points for every 7 points the visiting team scored
and they differ by a total of 9 points.
Therefore, The final score would be 6×9, 7×9.
= (54, 63).
If we take the difference between 63 and 54 it would be 9.
learn more about numerical expressions here :
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Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answers
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689
Given h(x) = 3x + 4, find h(-1).
Answers
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1
The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function h(x) = 3x + 4
If we want to calculate the value of the function at a certain point then we need to keep that point in the function.
So,
Value of function at = -1 will be
h (-1) = 3(-1) + 4
h(-1) = 1
Hence " The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1".
For more about the function,
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Question 18
1 pts
If JKLM is an isosceles trapezoid, solve for x.
(8x – 23)
(6x + 11)°
M
L
HELPPP
Answers
Answer:
Step-by-step explanation:
J and K are equal
8x - 23 = 6x + 11 Add 23 to both sides
8x = 6x + 11 + 23 Combine the right
8x = 6x + 34 Subtract 6x from both sides
8x - 6x = 34 Combine the left
2x = 34 Divide by 2
x = 34/2
x = 17
=================================
M and L are both supplementary to J and K respectively.
J = 8x - 23
J = 8*17 - 23
J = 136-23
J = 113
K = 113
===================================
M + 113 = 180
M = 180 - 113
M = 67
L = 67
Solve for w.
−(1/4w+8)+8=3
w=134
w = 52
w=−34
w=−12
Answers
Solve for w by simplifying both sides of the equation, then isolating the variable.
D. w = −12
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answers
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
PLEASE HELP!!!!!!!!!!!!!!
Answers
Answer:
882-28282=9191
Step-by-step explanation:
6th grade math i mark as brainliest
Answers
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle
Answers
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴
⇒WIDTH = Y cm
⇒LENGTH =( y+2 )cm
⇒PERIMETER = 32cm
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
solution ↴
perimeter of rectangle = 2 ( length + width)
[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm
[/tex]
☛ so the width of the rectangle is 7cm
so we all done :D
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.
Answers
Answer:
0.5 in, 2 in
Step-by-step explanation:
It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.
Answers
Answer:
x-intercept= 6
y-intercept= 4
Step-by-step explanation:
Solve for x first then solve for y.
Answer: y= -2/3x+4
The X-Intercept is -2/3
The Y- Intercept is 4
Hope this helps!! Have a wonder day everyone!! (:
Step-by-step explanation:
Step one write out the equation 2x+3y=12
Then move the variable to the right hand side and change the sign. 3y=12-2x
Then divide both sides of the equation by 3. You get y=4-2/3x
Then: Use the Commentative Property to reorder the terms. y= -2/3x+4
What is 23/24 as a decimal rounded to the nearest hundredth?
Answers
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
To learn more about rounding of numbers click :
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Convert the Following: 5.4 oz=__________ mg
Answers
Answer:
153087 mg
Step-by-step explanation:
7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answers
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71