Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch pieces of wood as shown in the diagram. He wants to make sure that the frame is a rectangle, so he measures the diagonal. What must the length of the diagonal be to ensure that the corners of the frame are right angles? I just want to know what formula to use
Answers
Answer:
Step-by-step explanation:
You have right triangles, so use the Pythagorean Theorem
x = length of diagonal
8² + 10² = x²
164 = x²
x = √164 = 2√41 ≅ 12.8 in
The length of the diagonal be to ensure that the corners of the frame are right angles is 12.8 in.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch pieces of wood as shown in the diagram.
Marcus wants to make sure that the frame is a rectangle, so he measures the diagonal.
We have right triangles, so use the Pythagorean Theorem;
x = length of diagonal
8² + 10² = x²
164 = x²
x = √164 = 2√41
x ≅ 12.8 in
Learn more about Pythagoras theorem;
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Related Questions
Is 2(2x + 3y) = 4x + 6y true or false and how do you know?
Answers
Answer:
True because when you multiply the 2 by everything in the parentheses you get 4x + 6y which is 4x + 6y = 4x + 6y. and when you solve it you'll get 0 = 0
Step-by-step explanation:
Answer:
2×2x +2×3y=
4x+6y
Step-by-step explanation:
you first clear the bracket as i have shown above
you use the one outside the bracket to multiply the ones inside the bracket and when you multiply you get 4x+6y
99 POINTS- will mark branliesttt In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained.
Answers
Answer:
(-1,-4) and the coefficient is 3/2
Step-by-step explanation:
I am smart!!
Answer:
(-1, -4) coefficient 3/2
Step-by-step explanation:
the center of the shapes is (-1, -4) and the coefficient is 3/2 because the red shape is 3/2 times bigger than the black shape
”The product of – 8 and x”
Answers
Answer:
-8x
Step-by-step explanation:
Multiply -8 and x so it is -8x
I NEED THIS TO BE FINISHED FOR EXTRA CREDIT, because my grade is REALLY LOW and this will bring it up by 20 points. so PLEASE!!!!!!!!!!!!!!!!!!!!!!! Somebody do this for me, I would relly appreciate it
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Answers
you didn't give me access so I can't edit or solve the problem and if this is extra credit to bring your grade up, shouldn't you be doing it?
help quick!!! please help!!
i don’t understand!! help me please!
Answers
Answer:
1/5
Step-by-step explanation:
its probability there is only 1 orange ball out of 5 balls altogether so the probability of picking 1 orange ball is 1/5
convert
a. 10 kg into tonne
b. 9.8 kg into gram
Answers
For it’s A= 0.01
And for B it’s B= 9800
Which of the following correctly isolates the constant for the polynomial: x^2 - 12x + 27
A. x^2 - 12x= -27
B. x^2 - 12x= 27
C. x^2 +27= 12x
D. x^2 - 12x = 36
Answers
x^2 - 12x = -27
^ This is the correct answer because...if you want to bring anything to the opposite side of the equal sign (=) it also changes to its opposite. For example: 27, also known as +27 would change into a -27. Therefore, the answer is A. :)
What is the factorization of the polynomial 2x2 + 24x + 72
Answers
Answer:
[tex]2(x+6)^2[/tex]
Step-by-step explanation:
[tex]2x^2 + 24x + 72 = 2(x^2 + 12x + 36) = 2(x+6)^2[/tex]
Answer:
2(x+6)(x+6)
Step-by-step explanation:
2x^2+24x+72
=2(x+6)(x+6)
Brainliest PLs?
PLZ HELP!!!!!! ASAP! 70 POINTS!
Factor ax^2−ay−bx^2+cy+by−cx^2
Answers
Answer:
(a-b-c)(X^2-Y)
Step-by-step explanation:
DONE!!
What is the range of y=x^2-6x + 7?
Answers
Answer:
range: {y ≥ -2}
Step-by-step explanation:
minimum at (3,-2) so all y-values must be greater than or equal to -2
A basketball team played six games. In those games, the team won by 8 points, lost by 25,won by 9, won by 10,lost by 1, and won by 11. What was the mean difference in game scores over the six games?
Answers
Answer:
about 10 without a remainder of 4
Step-by-step explanation:
So, add up the number and divide by how many number you have (definition of mean). 8 + 25 + 9 + 10 + 11 + 1 all divide by 6 (since there are 6 numbers)
8 + 25 + 9 + 10 + 11 + 1 is 64.
64/6 is about 10 without a remainder of 4
A piece of wire in the form of a rectangle 18 cm long and 15 cm wide is bent and reshaped as a circle. Find the radius of a circle.
Answers
Answer:
r = 12.89
Step-by-step explanation:
18(2) + 15(3) = 81 = C
C = 2πr
81 = 2πr
81/2 = πr
r = 81/2π ≈ 12.89
NEED ALL 4! With the solution and step by step on what to do !! worth 35 points
Answers
Answer:
I got you, give me a few minutes
1st one: 6x+12+6y
2nd one: -12a-20b
4th one: 2x times 18
Step-by-step explanation:
1: -4x + 2y + 10
2: -12a^2 + 20ab
3: i didnt know it sorry
4: x^2 - 9x + 18
all you need to do is the order of operations
What is the slope of the line passing through
(4,56) and (5,70)
Answers
Answer:
14
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points and simplify:
(y2 - y1) / (x2 - x1)
(70 - 56) / (5 - 4)
14 / 1
= 14
So, the slope of the line is 14.
Answer:
m=14
Hope it helped if it did mark as brainliest!
A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?
Answer options:
-274 in3
-274.5 in3
-274.375 in3
-274.625 in3
Answers
Answer:
274.625 in^3
Step-by-step explanation:
equation for volume LxWxH
6.5x 6.5x 6.5= 274.625
Roses is selling all toasters at 15% off. The original price of the toaster is $40. What is the retail amount of a toaster after the markdown?
A.$30
B.$34
C.$15
D.$25
Answers
Answer:
B $34
Step-by-step explanation:
15% of $40= $6
40-6= $34
or
100%-15%= 85% or 0.85
$40*0.85= $34
Write ways to represent the fraction 10/9.
Answers
Answer:
mixed number form 1 1/9
decimal form 1.11111111111111 it goes on forever
percent form 111.111111111111% it goes on forever (again)
Step-by-step explanation:
i hope that helps!
Answer:
1 1/9
Step-by-step explanation:
10/9, you get 1 as the whole number.
You have a 1 left over when dividing 10 and 9. the 1 will be over 9.
Giving you 1 as the whole number and 1/9 next to it.
perímetro de un trapecio isosceles es 110 m, las bases miden 40 y 30 respectivamente.
alcula los lados no paralelos y el área.
h
Answers
Answer: English please
Step-by-step explanation:
What is the area of a circle with a circumference of 6.28 units
Answers
Answer:
A≈3.14
Step-by-step explanation:
100 points! Someone please help me with this! I will mark brainliest! Picture is attached below. Random answers will be reported.
Answers
Answer:
7. Orthocenter is on the triangle, at (0,0).
8. Orthocenter is outside the triangle, at (1,-5)
Step-by-step explanation:
Answer:
7. (0, 0) - on the triangle8. (1, -5) - outside the triangleStep-by-step explanation:
Question 7Given points:
J(1, 3), K(-3, 1), L(0,0)Orthocenter is the intersection of altitudes. Altitude is perpendicular segment with one end on the opposite vertices.
Lets work out two altitudes and find their intersection.
Slope of JL
m(JL) = (0 - 3)/(0 - 1) = 3Equation of the line that is perpendicular to JL and passes through K(-3, 1). The line has the slope -1/3.
y - 1 = -1/3(x - (-3)) ⇒ y = -1/3xSlope of KL
m(KL) = (0-1)/(0 - (-3)) = -1/3Equation of the lines that is perpendicular to KL and passes through J(1, 3). The line has a slope -1/(-1/3) = 3
y - 3 = 3(x - 1) ⇒ y = 3xThe orthocenter is the intersection of the lines:
-1/3x = 3x ⇒ x = 0 ⇒ y = 0The point is (0, 0) which overlaps with point L so it is on the triangle
Question 8Given points:
D(-3, -2), E(-2, -2), F(1,2)Lets work out two altitudes and find their intersection.
Slope of DE
m(DE) = (-2 - (-2))/(-2 -(-3)) = 0, horizontal lineEquation of the line that is perpendicular to JL and passes through F(1, 2). The line is vertical:
x = 1Slope of EF
m(EF) = (2- (-2))/(1 - (-2)) = 4/3Equation of the lines that is perpendicular to EF and passes through D(-3,-2)
The line has a slope -1/(4/3) = -3/4:
y - (-2) = -3/4(x - (-3)) ⇒ y = -3/4x - 17/4The orthocenter is the intersection of the lines:
x = 1y = -3/4 - 17/4 = -20/4 = -5The point is (1, -5) is outside the triangle
solve the following
1. -2(x-3)< -3x+8
2. 36>-2(x+4)+14
Answers
It will help you to solve any question
Can u please help me with this question?
Answers
Answer:
B)[tex]y=\frac{-2}{3}x-\frac{-13}{3}[/tex]
Step-by-step explanation:
2x +3y = 5
3y = -2x + 5
Divide both sides by 3
[tex]\frac{3y}{3}=\frac{-2x}{3}+\frac{5}{3}\\\\y =\frac{-2}{3}x+\frac{5}{3}[/tex]
Parallel lines have same slope.
m = (-2/3) ; (-2 , -3)
y - y1 = m(x -x1)
[tex]y-[-3]=\frac{-2}{3}(x-[-2])\\\\y + 3 = \frac{-2}{3}(x +2)\\\\y + 3 =\frac{-2}{3}x + 2*\frac{-2}{3}\\\\y+3=\frac{-2}{3}x-\frac{4}{3}\\\\y=\frac{-2}{3}x-\frac{4}{3}-3\\\\y=\frac{-2}{3}x-\frac{4}{3}-\frac{3*3}{1*3}\\\\y=\frac{-2}{3}x-\frac{4}{3}-\frac{9}{3}\\\\y=\frac{-2}{3}x-\frac{-13}{3}[/tex]
Pls help LOTS OF POINTS I am really confused and this is pretty easy so plaplslplsplspsl help
Answers
Answer: #4 is b
Step-by-step explanation:
Write an algebraic expression with 3 terms, at least one coefficent of 5 and 2 different variables.
Answers
Answer:
3+5y+3x-(26-3)
Are the lines parallel, perpendicular, or neither show work cause I need to understand this
Answers
Answer:
Niether
Step-by-step explanation:
the slopes arent opposite so they arent perpendicular, they arent the same so they arent parallel. they are niether due to thier slopes, but if they had the same slope, the y intercept would have to be different for them to be parrallel or else they would be the same line
The temperature, y, of a pot of water is 45 °F. The temperature increases by 30 °F per minute, x, when being heated.
Answers
Answer:
y = 30x + 45
Step-by-step explanation:
The teapot starts of at 45 °F, and every minute, the temperature increases by 30 °F
A number increased by 6 is 13. What is the number?*
Answers
Answer:
7
Step-by-step explanation:
Simply subtract 6 from 13.
13-6=7
Hope this helps! :)
Factor the expression below.
49a^2 - 25b^2
Which of the following binomials is a factor of the expression?
A. a + b
B. 7a+ 5b
C. 7a+ b
D. a +5b
Answers
Can you help me please??
Answers
Answer:
y = [tex]\frac{4}{5}x+\frac{54}{5}[/tex]
Step-by-step explanation:
Equation of a line has been given as,
[tex]y=\frac{4}{5}x+\frac{3}{5}[/tex]
Here, slope of the line = [tex]\frac{4}{5}[/tex]
y-intercept = [tex]\frac{3}{5}[/tex]
"If the two lines are parallel, there slopes will be equal"
By this property slope of the parallel line to the given line will be equal.
Therefore, slope 'm' = [tex]\frac{4}{5}[/tex]
Since, slope intercept form of a line is,
y = mx + b
Therefore, equation of the parallel line will be,
y = [tex]\frac{4}{5}x+b[/tex]
Since, this line passes through a point (-6, 6),
6 = [tex]\frac{4}{5}(-6)+b[/tex]
6 = [tex]-\frac{24}{5}+b[/tex]
b = [tex]6+\frac{24}{5}[/tex]
b = [tex]\frac{30+24}{5}[/tex]
b = [tex]\frac{54}{5}[/tex]
Equation of the parallel line will be,
y = [tex]\frac{4}{5}x+\frac{54}{5}[/tex]
The segments shown below could form a triangle.
A. True
B.false
Answers
Answer:
I don't no
Step-by-step explanation:
ok thanks for the
Answer:
False
Step-by-step explanation:
Its false try using the app triangle calculator