Why is the diagonal of any rectangular prism always longer than any one side? Use the drop-down menus to explain your answer.
The diagonal is the choose....
of a right triangle, which is always choose...
the longest side of the prism
Answers
Answer:
the diagonal of any rectangular prism is always longer than any one side because the diagonal is the hypotenuse
The triangle is a right triangle because the square of the longest side equals the sum of the squares of the shorter sides.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
here, we have,
A triangle with side lengths 7, 80, and 31 is given.
We need to find that the triangle is right-angled.
By Pythagoras theorem,
(Hyp)² = (Opp)² + (Adj)²
(Hyp)² = (80)² = 6400
(Opp)² + (Adj)² = 7² + 31²
= 49 + 961
= 1,010
Therefore, (Hyp)² > (Opp)² + (Adj)²
Yes, the triangle is a right triangle because the square of the longest side equals the sum of the squares of the shorter sides.
Learn more about a right triangle;
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#SPJ2
complete question:
Does a triangle with side lengths 7, 80, and 31 from a right triangle?
Use the drop-down menus to answer the following questions.
What is the square of the longest side?
What is the sum of the squares of the two shorter sides?
Is the triangle a right triangle?
Related Questions
help for brainliest plz
Answers
2. 4/5 = 0.8
3. 1/3 = 0.333333....
4. 1/2 = 0.5
welcome
Which of these systems of equations would be best solved using the subtraction method?
I. 2x−7y+3y = 4 −6x−4y = −52
II. 2y = −5x+6x−5 y = 2x−6
III. −7x+3x+2y = 4 4x−6y = −52
Answers
Answer:
Step-by-step explanation:
1. x+2y=6 or x=6-2y
3x-2y=2
3(6-2y)-2y=2
18-6y-2y=2
18-8y=2
-8y=-18+2
-8y=-16
y=-16/-8
y=2 ans.
x+2*2=6
x+4=6
x=6-4=2 ans.
Proof:
3*2-2*2=2
6-4=2
2=2
I leave the rest for you to practice with.
3. 4x+y=7
2x+5y=-1
5. 3x+2y=-2
6x-y=6
Solve the system using the elimination method. Show all your steps.
7. -3x+3y=3
3x+y=9 add.
---------------------------------
4y=12
y=12/4
y=3 ans.
3x+3=9
3x=9-3
3x=6
x=6/3
x=2 ans.
Proof:
-3*2+3*3=3
-6+9=3
3=3
I'll leave the rest for practice.
9. -5x+12y=20
x-2y=-6
11. 3x+2y=1
4x+ 6y= 7
Shirts are on sale for 30% off. The original price of one shirt is $15. What is the total cost, in dollars, of 2 of these shirts at the sale price, including a7% sales tax? Enter your answer in the space provided.
Answers
15 times 2 = 30
30% of off 30 dollars is 21 dollars
7% tax increase will come to 22.47
The total cost should be $22.47
Sadly, I don't have many points left so ill have to answer some other questions but anyways, It's Friday! I need help with this please and thank you!
Answers
Answer:
1/4 / 9
Step-by-step explanation:
KCF Keep Change Flip
1/4 x 1/9
1/36
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1
2
x. Explain who is correct.
Answers
Answer:
If we let x be the number of ticket sold and y be the amount in dollars donated then, the equation would be,
x = 2y
We can check our answer by substituting the given,
10 = 2(5)
10 = 10
The equation can also be written as,
y = (1/2)x
Student B is correct.
Answer:
Sample Response/Explanation: The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 12(10).
Step-by-step explanation:
Which set of the following numbers is greater than 5.23
Answers
Answer:
what... following...numbers?...
Step-by-step explanation:
Find the measure of a. (type the measure of the angle ONLY)
Answers
Answer:
85
Step-by-step explanation:
Answer:
The answer is 45
only do the highlighted ones please and thank you
Answers
Answer:
1. 193.2 in³
4. 628.32 ft³
Step-by-step explanation:
For the rectangular prism, just find the area of each individual side and add. For the cylinder, just do πr²×h, with r being the radius and h being the height.
The tree diagram shows the sample space of two-digit numbers that can be created using the digits 9,2 1, and 8. What is the probability of choosing a number from the sample space that contains both 2 and 8?
Answers
Answer:
Given : the sample space of two-digit numbers that can be created using the digits 9,7,1, and 8.
To Find : probability of choosing a number from the sample space that contains both 7 and 8.
Solution:
TREE DIAGRAM
9 7 1 8
↓ ↓ ↓ ↓
------------------- ---------------- ----------------- ---------------
↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓
9 7 1 8 9 7 1 8 9 7 1 8 9 7 1 8
Total Sample space = 16
Contains both 7 and 8
is ( 7 , 8) or ( 8 , 7)
Hence probability of choosing a number from the sample space that contains both 7 and 8. = 2/16
= 1/8
= 12.5 %
Step-by-step explanation: I spent lots of time typing out and working out the answer to your question so please mark Brainliest because no matter what you are always the Brainliest of them all! Have a wonderful day!
HALP PLEASE DO 6 AND 7 PLEASEEE
Answers
Answer:
Step-by-step explanation:
6) Convert mixed fraction to improper fraction and then plugin the values in the formula.
[tex]l= 3\frac{1}{3} yard=\frac{10}{3}\\\\w = 1\frac{5}{9} yard=\frac{14}{9}\\\\h =2\frac{1}{4} yard=\frac{9}{4}\\\\Volume of wood shed = l * w *h\\\\= \frac{10}{3}*\frac{14}{9}*\frac{9}{4}\\\\= \frac{5}{3}*\frac{7}{1}*\frac{1}{1}\\\\=\frac{5*7}{3}\\\\=\frac{35}{3}\\\\=11\frac{2}{3} cubic yard[/tex]
b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.
7) Right side rectangular prism:
l = 16 in
w = 5 in
h = 20 - 14 = 6 in
Volume 1 = 16 * 5 * 6 = 480 cubic inches
Left side rectangular prism:
l = 9 in
w = 5 in
h =14 in
Volume 2 = 9 * 5 * 14 = 630 cubic in
Volume of composite solid = 480 + 630 = 1110 cubic inches
anyone wanna help me w/ a prank?
ok so you have to have rob lox (my friend who i'm pranking has it so yea)
basically i need someone to fake replace her and pretend i replaced her, shes always been afraid of that.
Dw ill text her right after that it was a prank lol.
Answers
Answer:
um sure but first 8/16 simplified to 1/2
Step-by-step explanation: ddon't mind the equation
Please help I will mark brainliest
Answers
Answer:
D g(x) = (9x)²
Step-by-step explanation:
A function f(x) is shown below.
f(x) = x + x + x
Write an equivalent form of f(x) in function notation that contains only one term on the right side of the equation.
Answers
Answer:
f(x) = 3x
Step-by-step explanation:
when adding x (the same variable) to eachother when there is nothing in front, you always assume the coefficient is 1. since there are 3 x's, (1)x+(1)x+(1)x=3x. hope this helps:)
I need help on this math question...
Answers
V: for every 3 there is 1
P: for every 3 there is 2
S: because y = x times 2
8.1-3.9x=23.7
what is x
Answers
Answer:
-4
Step-by-step explanation:
Answer: -4
Step-by-step explanation:
pls help me with this math problem.
Answers
Answer:
the answer is c
Step-by-step explanation:
whats the percentage?
Answers
Answer:
blue:2%
pink:40%
orange:25%
white:33
Step-by-step explanation:
White = 33%
Pink=40%
Orange=25%
Part A: What are the Minimum, First Quartile,
Median, Third Quartile, and Maximum for the
data? Show your work.
64, 53, 60,
60, 56, 58,
51, 55, 60
Answers
517/9 = 57.4
step by step explanation
help me pls (brainliest included)
Answers
b. 12(x)
c. x+8
When a number is tripled, the result is 99. Let p represent the number. What is the value of the number?
Answers
Answer:
p equals 33 which is the answer to the problem
Hola a todos... me ayudan?
Necesito pasar estos numeros a nros naturales, enteros y racionales:
-15
3
0,5
+21
desde ya gracias :)
Answers
what is the area of this trapezoid?
Answers
answer:
i believe the answer is c
good luck :) hopefully this helps
have a great day !!
i need help plzzzzz anyone plzz I have it due soon
Answers
Answer:
The correct answer is C
Step-by-step explanation:
Please give thanks and brainlist
Answer:
it would be c:)
Step-by-step explanation:
One year ago, Clare was 4 feet 6 inches tall. Now, Clare is 4 feet 10 inches tall. By what percentage did Clare's height increase in the last year?
Answers
Three less than on-half a number is -71
*equation & solve*
Answers
Answer:
-136
Step-by-step explanation:
x/2 x/2-3 2x/2-3.2=-71.2 x-6=-142 x=-142+6 x=-136
What is one way that authors can come up with ideas for providing context for their readers?(1 point)
brainstorming
writing a draft
making an outline
editing
Answers
Answer:
Brainstorming i think
Step-by-step explanation:
The author can come up with one way to provide ideas to the readers related to the context by the use of brainstorming. Thus option A is correct.
What is brainstorming?Brainstorming is a thinking process where the ideas are stormed all at the same time. The brainstorming is the result of the group discussion and is shows the creation of a person for solving the problems.
The brainstorming sessions are conducted to test the abilities of the person in the given context. Thus author provides the readers with ways to come up with ideas.
Find out more information about the context.
brainly.com/question/4066509
I don't know what to do for this question. There are two i already did the second one its the one i circled I don't get. Please if u can show me step by step.
Answers
Answer:
x = 6 cm
Step-by-step explanation:
X is the midsegment of the triangle.
A midsegment of a triangle is always half the base.
12/2 = 6
x = 6
You can search up "triangle midsegment theorem" if you are not familiar with it.
can someone help me with these 5 questions
first one.1x + 1x + 8
second one. 4x + 9 + 7x
third one. 15 + 8 - 9x
fourth one. 7x - 8 - 6
last one. -5x + 2 - 8x + 9
Answers
Answer: 1. 2x + 8
2. 11x + 9
3. -9x + 23
4. -62
5. -13x + 11
There were 56 signers of the Declaration of Independence. The circle graph shows their occupations. Based on the graph, it could be inferred that —
Answers
DO you mind yo help me please I really need it!
Answers
Answer :80
Answer:
80
Step-by-step explanation:
Volume= Length x Width x Height
8x2x5= 80
If you want to break it up into smaller pieces ....
5x2=10 or 5+5=10
10x8= 80 or 10+10+10+10+10+10+10+10
hope this helps! :)