Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.
Answers
Figure B
Step-by-step explanation:The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.
In Figure B, if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.
Related Questions
1. The coordinates tell you that every 12 seconds 5 gallons of water runs from the
hose into a bucket
How many gallons of water were in the bucket after 1 second
Answers
Answer:
5/12 of a gallon
Step-by-step explanation:
5 divided by 12 is 5/12
How to solve for x: 2x-9=5
Answers
Answer:
5=2x-9
14=2x
x=7
Hope This Helps!!!
help!?!!!???
x-14=20
Answers
Answer:
x = 34
Step-by-step explanation:
Just add 14 on both sides of the equal sign to get x = 34.
Hope this helps :)
Answer:
x = 34
Step-by-step explanation:
hope it helps a lot
that's the final answer
Where can Anne be found in the video?
This is the only known video of Anna frank. Answer using a single word,and lower case letter
Answers
Answer:
Step-by-step explanation:
An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960
srry i dont know but here
i think of a number times it by 2 and minus 2 my answer is nine
Answers
Answer:
5.5
Step-by-step explanation:
5.5 times 2 equals 11 minus 2 equals 9
5.5
Step-by-step explanation:
calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly
Answers
Answer:
Step-by-step explanation:
what is the mean number of cars owned by a family? Give your answer to 1 decimal place.
Answers
Answer:
Step-by-step explanation:
total # of families=15
families that own 0 cars=2
families that own 1 cars=5
families that own 2cars=4
families that own 3 cars=3
families that own 4 cars=1
so 2+5+4+3+1=15
total# of families/ sum of cars = 15/15=1
I will give 20 points
Answers
Answer:
This is like quadratic equation you just say y=1x+-2 and then you get the answer
Use the commutative property to simplify the expression. niin 3.2.10 5 O A. (10) = 6 - O B. ( - ) - 10 = 2 O c. } } -10 = 10 = 3 - O D. 10.3.3 = 4.5 = 3 PES 30 2 5
Answers
Answer:
Step-by-step explanation:
666
Please help me with this
Answers
Answer:
make me brainliest
Step-by-step explanation:
1: x ≤ 18/5
2: x > 4
3: x ≤ 4
4: x < 12
5: x > 1/4
6: x ≤ 2
7: x ≤ 5
8: x > 10
9: x < 5/2
10:7/3x^2 + 4/3x + 12
11: 2 < x < 15
12:25/2 < x ≤ 45/2
Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?
Answers
Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
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What is the value of the 9 in the number 567.09?
Answers
Answer:
After the decimal point (left to right) are the tenths, hundredths, thousandths, ten-thousandths, and so on. The value of the 9 would be 9 hundredths.
:)
beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?
Answers
Answer:
$ 14
Step-by-step explanation:
12 - 5 = 7 = half weekly allowance
can yall help me plzz
Answers
Answer:
x = 8
Step-by-step explanation:
To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.Hope this helps!
helpppp
simplify √5 × √3
Answers
Answer:
√15
Step-by-step explanation:
When you multiply surds:
multiply the numbers inside the square roots i.e. √(5 × 3) = √15simplify if possible (not possible in this case)Hope this helps!
Find the length of each side of the parking lot, in metersTop: |-80| + |___| = ___ + 50 = ___mBottom: |___| + |50| = 80 + ___ + 50 = ___mLeft: |50| + |___| = ___ + 20 = ___mRight: |___| + |-20| = 50 +___ = ___m
Answers
Answer:
Step-by-step explanation:
Divide.
123 : 5
remainder
Answers
123 / 5
100 / 5 = 20
20 / 5 = 4
3 = remainder
100/5=20
20/5=4
3=remainder
HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.
Fill in the values to complete the table.
45 points!!! help me please
Answers
Thinking about the function of the flower organ, what advantage does a flowering plant have over a nonflowering plant?.
Answers
Answer: The flowering plant grows fruit, while the nonflowering plant doesn't.
Step-by-step explanation: Brainliest please
Flowering plants have reproductive organs, which is an advantage over non-flowering plant.
What are flowering plants?A plant that produces flowers, fruit, and seeds also called angiosperm.
Given that, advantage a flowering plant have over a non-flowering plant,
Flowering plants have a reproductive advantage over gymnosperms (non-flowering) because of different adaptations, such as having flowers that allow for pollination and fruit for seed dispersal.
Hence, flowering plants have reproductive organs, which is an advantage over non-flowering plant.
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2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: -3.5 F
Day 2: 5 F
Comparison of Day 1 and Day 2: __-3.5__ < __5___ or ___5__ > ___-3.5____
Comparison of days with absolute value: ____ < _____ or _____ > _______
WILL GIVE BRAINLIST FOR A CORRECT ANSWER
Answers
Answers:
-3.5 < 5
|-3.5| < |5|
============================================
Explanation:
Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.
---------
The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.
So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.
1-2 what is the slope of the table
Answers
Answer:
1. the slope is 3/1 = 3
2. the y-intercept is 2
Step-by-step explanation:
hope this helps :)
go ahed and try im confuesd
Answers
Answer:
a and c and e
Step-by-step explanation:
Answer: I believe its proportional
Step-by-step explanation:
The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham
Answers
Answer:
1˚C
Step-by-step explanation:
First, you take 5 away from 6
5 = 5°C colder than in London
6 = The temperature in London
1ºC. 6 minus 5 equals 1.
and also that is quite easy for high school.
PLEASE HELP ME I REALLY NEED HELP!!
Answers
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
what is 8 times 38 plz let me know
Answers
Answer:
304
Step-by-step explanation:
use a calculator for that.
A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.
Answers
Answer:
width of 3 units
Step-by-step explanation:
let 'w' = width
let '4+5w' = length
P = 2l + 2w
44 = 2(4+5w) + 2w
44 = 8 + 10w + 2w
36 = 12w
w = 36/12
w = 3
What is the base of the expression 6^-4?
Answers
Answer:For this case we have that by definition it is fulfilled:
Where:
a: It is the base
b: It is the exponent
So, if we have the following expression:
-6 to the power of 4, is equivalent to:
So we have to:
-6: It is the base
4: It is the exponent
-6: It is the base
4: It is the exponent
Step-by-step explanation:
What’s the answer to 4(1+9x)
Answers
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
half the quotient of 4 and a number y
Answers
Answer:
y = 1
Step-by-step explanation:
Hello!
2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.
The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y
How to solve algebraic questions?
From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.
Thus, quotient of 4 and a number y is; 4/y
To get half of the value above, we will just multiply it by half to get;
¹/₂ * 4/y
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A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of camera is shown. The right triangle has 2 sides with lengths of 5 grid squares. The area of the triangle is 112.5 feet squared.
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle.
How many cameras will be necessary to cover the entire store?
.
If he places cameras only in the corners of the store, how much area is left uncovered?
ft2.
Answers
Answer:
1) 8
2) 450 ft^2
Step-by-step explanation:
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
What is the area of the triangle?
The area of the triangle is
[tex]=\frac{1}{2}\times height \times base[/tex]
The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.
That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
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