the diagonal of a square has a length of 10. what is the area of the square?
Answer:
50
Step-by-step explanation:
Diagonal of square = 10
Use special triangles to find the area because a square's diagonal divides the 90 degree angles into 45 degrees
45-45-90 triangle
x : x : x√2
1 : 1 : 10
10=x√2
10/√2=x, rationalize denominator and you get 5√2 as the square's side length
Area is s^2, s being the length of a side
(5√2)^2=25*2=50
Ms. Lopez drew parallelogram M with a height of 6 inches and a base of 6 inches, and parallelogram N with a height of 4 inches and a base of 8 inches. Which parallelogram has the greater area, M or N? help plz
Answer:
It is the parellogram M
Step-by-step explanation:
In order to find the area of a parellogram we need do base x height so we compare 6x6 and 8x4 thus making 36>32
Answer:
t is the parellogram M
In order to find the area of a parellogram we need do base x height so we compare 6 x 6 and 8 x 4 thus making 36 > 32
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
sqrt of 41, or A
Step-by-step explanation:
You can cut the iscosles triangle into 2 right triangles as shown on the image, and the base of each will be 4, and the height 5.
The hypotenuse on a right triangle is the square root of the base squared added with the height squared, which would be 16+25, or 41. therefore, X is the sqrt of 41
Answer:
A. x = square root of 41
Step-by-step explanation:
HELP THIS IS DUE TOMRROW ANYWAYS THE QUESTION IS
find the coordinate of the midpoint of a segment with the given endpoints.
-7 and -3
This could be wrong because I'm going into the fifth grade but wouldn't it just be (7,-3)?
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 π and enter your answer as a decimal.
Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
Answer:
Step-by-step explanation:
A full circle has a circumference of 2*pi * r
r = 1
so Full Circle = 2 * PI
1/4 Circle = 2*pi / 4 = 1/2 pi
The length of the arc length = 1/2 pi
Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57
find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step
Answer: The integers are -58, -57, -56.
Step-by-step explanation:
The difference between two consecutive integers is 1.
If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.
Integers: x, x + 1, x + 2
The sum of the first and third is: x + x + 2
3 times the sum of the first and third is: 3(x + x + 2)
That product equals -342.
3(x + x + 2) = -342
3(2x + 2) = -342
Divide both sides by 3.
2x + 2 = -114
Subtract 2 from both sides.
2x = -116
Divide both sides by 2.
x = -58
x + 1 = -57
x + 2 = -56
The integers are -58, -57, -56.
On the set of axes below, draw the graph of the equation y = -3/4x + 3. Is the point (3, 2) a solution to the equation? Explain your answer based on the graph drawn
(3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The graph of the equation is given as y = -3/4x + 3.
We have to find if the point (3, 2) a solution to the equation.
So, we will subtitute the point to to satify the equation;
y = -3/4x + 3.
y = -3/4(3) + 3
y = -9 / 4 + 3
y = 3/3 = 1
Thus, (3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
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25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 10 cars per hour 20 cars per hour B) 30 cars per hour D 40 cars per hour
Answer:
B. 30 cars per hour
If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour
hope you got it xx
Help me pleaseeeeeee
Answer:
B
it's a recurring number therefore it's irrational
Can someone help me with this two because I am very confused
Answer:
Let the height of the larger box = h
and length and width of the larger box = l and w , repectively
Now , Let find the volume of the larger box
Volume = length * width * height
So Volume of the larger box = l*w*h = lwh
Now the question says
the height of the smaller box is 80% of the height of the larger box
It means
Height of the smaller box = 80% of h = 0.80*h = 0.80h
and the other two dimensions are same so it means length and width of the smaller box = l and w
so, Volume of the smaller box = l*w*0.80h = 0.80lwh
So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box
therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh
Step-by-step explanation:
please help me find what equals to x
What is the missing number in the input output table
Input: 3, 5, ? 17
Output: 16, 22, 31, 58
Answer:
input is 3 5 9 17 so hope you get the answer thanks
I need help plz step by step explanation
Answer:
x=2,y=7
Step-by-step explanation:
Using elimination method:
Add both equations
8x=16
x=2
Put x=2 into equation 2
3•2+6y=48
6y=42
y=7
Each floor of a parking garage can hold 90 cars. When all of the floors are full, there are 450 cars in the garage altogether. What fraction of the cars is parked on the ground floor?
90 cars out of 450
90 / 450 = 1/5
I guess the number of floors is 5
The table shows the length and width of Florida at its most distant points.
Determine the prime factorization of the length . Use "^" for the exponent and "x" for the multiplication.
Measurement. Distance (mi)
Length. 500
Width. 160
An example of prime factorization is the following:
Find prime factorization of 50.
1st find the factors of 50 until you only have prime numbers.
1x50
2x25=2x5x5
So the prime factorization of 50 is: 2x5^2
Answer:
5*10^2
Step-by-step explanation:
Length = 500
500= 5 *100
100=10^2
500= 5 *10^2
A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
If x is an integer, what is the least possible value for x that satisfies the inequality?
-5x - 12 < 33
A. -10
B. -9
C. -8
D. 9
E. 10
Answer:
C. -8
Step-by-step explanation:
We have to solve the inequality by isolating x.
-5x - 12 < 33
Add 12 to both sides.
-5x < 45
Divide both sides by -5 (remember to flip the sign when dividing by a negative).
x > -9
The least possible value for x that satisfies this inequality is -8.
What is equivalent to -3(-2x + 7)
A. 6x - 21
B. -6x -21
C. 6x + 21
D. 13x
E. 15x
Solve the equation -10(g - 6) = 65.
Answer:
g = -1/2
Step-by-step explanation:
-10(g - 6) = 65
Distribute
-10g +60 = 65
Subtract 60 from each side
-10g+60-60 = 65-60
-10g = 5
Divide by -10
-10g/-10 = 5/-10
g = -1/2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
What is the value of the independent variable at point A on the graph?
Answer:
6
Step-by-step explanation:
The independent value refers to the x values of a graph. Point A is located at (6, 3). Therefore, the value of the independent variable is 6.
The value of the independent variable at point A on the graph is 6.
What is Independent Variable?The cause is the independent variable. Its value is unaffected by the other study variables.
In an experimental study, an independent variable is one that you change or alter to examine its effects. It is named "independent" because it is unaffected by any other study variables.
Given:
We have two quantities from the graph one is mass in grams and another is time.
as, the masses totally depends on growth of bay with time.
So, the dependent variable is Mass and independent variable is Time.
Now, the coordinates for Point A is (6, 3).
Hence, the value of point A is 6.
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A person riding in a elevator travels 240 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y=8x; 8 feet
B. y=1/8x; 1.25 feet
C. y=8x; 80 feet
D. y=6x; 60 feet
Answer:
The answer to this question is letter C
We can approach this by first finding the rate of feet per second traveled.
240(feet)/30(seconds)= 8 feet per second.
This answer resembles the slope for answer choice C.
To find the distance traveled in 10 seconds we do 10*8= 80 feetStep-by-step explanation:
have a great day and good luck
i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?
Answer: 23 dimes & 7 quarters
Step-by-step explanation:
Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = yYou can create two equations:
[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]
Rearrange x + y = 30:
[tex]y=30-x[/tex]
Substitute it into the x-value of the other equation & solve:
[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]
With the x-value, substitute it back to the original equation to find y-value:
[tex]y=30-x=30-23=7[/tex]
Therefore, there are 23 dimes & 7 quarters.
There are 23 dimes and 7 quarters.
Given that, the total number of coins=30.
How to convert dimes to dollars?To convert dimes to dollars we need to multiply the number of dimes by 0.1.
Let the number of dimes be x, and then the number of quarters will be 30-x.
Now, x×0.1+(30-x)×0.25=4.05
⇒-0.15x=-3.45
⇒x=23
30-x=7
Hence, there are 23 dimes and 7 quarters.
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Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode
Answer:
i guess that was
CITS ATTICUS
Answer:
the answer is c
Step-by-step explanation:
hope it helps pls give brainliest
(08.01) The graph shows two lines, Q and S.
A coordinate plane is shown with two lines graphed. Line Q has a slope of one half and crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2.
How many solutions are there for the pair of equations for lines Q and S? Explain your answer.
[tex]\huge\blue{ANSWER}:—[/tex]
A solution for a pair of lines means that they are equal to each other. This occurs when they instersect. Since the lines have the same slope, but are not the same line, they are parallel, so they will never intersect. This means there are zero solutions.
Hope this helps!The provided set of equations for the lines Q and S have no solutions.
What is the Slope of a line?The slope of a line is a measure of how steep the line is and is defined as the change in y divided by the change in x between any two points on the line. In other words, the slope is the ratio of the vertical distance between two points on the line to the horizontal distance between them.
What are parallel lines?Parallel lines are two or more straight lines that are equidistant from each other at all points and do not intersect, no matter how far they are extended in both directions. Parallel lines are often denoted by a double vertical line symbol (||) drawn between them.
In the given information:
Line Q crosses the y-axis at 3 and has a slope of one-half.
Therefore,
x=0 and y= 3
Straight line equation: y= mx + c
where m is the line's slope
The values in this equation should be replaced.
y= mx + c
3= (1/2) ×0+c
3 = c
y= (1/2) x + c
Line S crosses the y axis at -2 and has a slope of one half.
Thus, the c will be negative.
After that, the line's equation is y = (1/2) x - 2.
Use the equation to plot the graph.
So,
Line Q and Line S are parallel lines.
Due to the fact that it won't intersect, there is an equation.
Thus, the provided pair of equations for lines Q and S have no solutions.
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In triangle JKL, JKL is a right angle, KM and is an altitude. JL=25 and JM=5, find KM
Answer:
50
Step-by-step explanation:
what comparison does the ratio 6 to 21 represent
Answer:
3:7
Step-by-step explanation:
hope it help you....
Answer:
2:7
Step-by-step explanation:
You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)
Look at the picture below for the info
Answer:
x = -3/14
Step-by-step explanation:
1/2(2x-1) = -1/7 -4/7
Combine like terms
1/2(2x-1) = -5/7
Multiply each side by 2
2*1/2(2x-1) = -5/7*2
2x-1 = -10/7
Add 1 to each side
2x-1+1 = -10/7 +1
2x = -10/7 +7/7
2x = -3/7
Divide by 2
2x/2 = -3/7 *1/2
x = -3/14
a - 6 - 6a = 4
find the value of a
Answer:
-2
Step-by-step explanation:
a - 6 - 6a = 4
a-6a=10
-5a=10
a=10/-5
a=-2
Answer:
a = -2
Step-by-step explanation:
Add like terms:
a - 6 - 6a = 4
-5a - 6 = 4
Solve for a:
-5a = 10
a = -2
So, a = -2
I don't understand this math question! The pictures provided and I'd love if someone can explain it to me
Answer:
Hello,
Step-by-step explanation:
The first number is
[tex]\dfrac{8}{12}[/tex]
The second number is
[tex]\dfrac{9}{12}[/tex]
Their sum is:
[tex]\dfrac{8}{12} +\dfrac{9}{12} =\dfrac{8+9}{12}=\dfrac{17}{12}[/tex]
Answer:
67
Step-by-step explanation:
HELPPPPPPPPPP HELPPPPPP
Answer:
14c decrease Option D
Step-by-step explanation:
The temperature was 8c at 12 am and -7c at 7 pm to find the difference subtract to get 14c.
whats wrong im only in 7th grade
Step-by-step explanation:
