You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?
Answers
222Answer:
Step-by-step explanation:
As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39
Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
Learn more about rectangles here:
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Related Questions
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answers
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
Answers
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answers
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%
Angela bought 4 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? Use 1 gallon = 3.785 liters
Answers
Answer:
no sé amigo Thu tcug
Step-by-step explanation:
v8ftuuurk
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
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Answer:
3
one
will represent
the student
Olive is allowed to bring one friend on a
She does not want to play favorites.
trip with her.
What is NOT a random method of choosing a friend?
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Someone Please help me
Answers
Answer:
B. $104.95
Step-by-step explanation:
$160.45-$55.50=$104.95
NEED ANSWERS ASAP
Raymond will roll a regular six-sided number cube. Calculate the probability of each event. Event Probability (as a fraction) P(even number) P(7) P(not 4 or 5)
Answers
Ex) There are six outcomes for rolling a die: 1, 2, 3, 4, 5, and 6. ... Formula for Theoretical Probability. P (event) = outcomes possible of number ... Write the probability as a fraction. Ex) P(3). Ex) P(3 or 4). Ex) P(even). Ex) P(4) ... Ex) Mr. Hayes tossed a coin 12 times to determine whether or not it would land on hands or tails.
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There are 39 rows of seats at the soccer field. Each row has 25 seats. Which
expression can be used to find the total number of seats? (correct answer - 1 points)
A) (30 x 20) + (9 x 5)
C.) (39 x 20)+(39 x 5)
B.) (39 x 2) + (39 x 5)
D) (39 x 20) + (39 x 50)
Answers
Answer:
C.) (39 x 20)+(39 x 5)
Step-by-step explanation:
to multiply 39 by 25, you multiply 39 by 20, and then multiply 39 by 5
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Answers
Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!
Can someone pls help me
Answers
Answer: Hewo, there! your Answer is Below
18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24
Step-by-step explanation:
Hope this Helps you!!!
Have a great day!!!
Is this linear, exponential growth, exponential decay, or neither?
Answers
Answer:
exponential decay
Step-by-step explanation:
the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..
18.0 x 9 but with a decimal
Answers
Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?
Answers
Answer:
s
Step-by-step explanation:
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answers
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation:
What do you need to do first to solve this equation? -62 +4= -20
Answers
Answer:
Add -62 and 4
Step-by-step explanation:
Step-by-step explanation:
-62+4=-20
-58=-20
58=20
Find the surface area of the rectangular prism below.
Answers
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?
Answers
Answer:
990
Step-by-step explanation:
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
A. 4 ft 2 in.
B. 4 ft 1 in.
C. 4 ft 1/2 in.
D. 5 ft
Answers
Answer:
i think it was A
PLEASE HELP ASAP ???
Answers
Answer:
-1
Step-by-step explanation:
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answers
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answers
Answer:
the answer is 1 because the power of any no. 0 is always 1
HAiiiiiiii help T-T...
it will be helpful
Answers
Answer:
The popsicle stick is 11 and 6/10 inches and 4.9 centimeters.
The pencil is 7 and 3/10 inches and 2.14 centimeters.
The paperclip is 6 and 3/10 inches and 2.8 centimeters.
Step-by-step explanation:
Just look at where the red dotted lines are
hope this helps
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answers
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answers
Answer:
6
Step-by-step explanation:
What is the area? Help meeeeee pls
Answers
do 1/2bh
1/2 x 9 x 12 and u will get 54
If x3=125 and y3=8, what is the value of y−x
Answers
Answer:
X= 5
Y= 2
Y-X= 2-5= -3
Use your exponent rules to express as a single power, 9^4 ÷ 27^2
Make sure to do it step by step
Answers
Answer:
9
Step-by-step explanation:
9^4=3^8
27^2=3^6
when we divide the powers of the same base ,we take the common base and subtract their exponent.
3^8-^6
=3^2
=9
In order to oversee airport security, the government created
o the Patriot Act.
O the 9/11 Commission
O the Transportation Security Administration,
O the Department of Homeland Security
Answers
Answer:
C. The Transportation Security Administration
Step-by-step explanation:
Its C
The Transportation Security Administration was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.
What is the Transportation Security Administration?
The Transportation Security Administration is one if the departments in the United States government whose primary function is to oversee the security of the country at airports.
The department was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.
Learn more about airports: https://brainly.com/question/15195602