Would any three squares
form the sides of a right
triangle? Explain.
Answers
Three squares of sides 15 units, 9 units, and 12 units can form a
right-angled triangle.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, We have to form a right-angled triangle that has side lengths of
3 different squares.
Let, The first square has a side length of 9 units, and let this be the height of the right-angled triangle.
Another square has a side length of 15 units and this is the hypotenuse.
Therefore, the base of the triangle must be 15² - 9² = 225 - 81 = 144 = 12 units.
So, The third square must have a side length of 12 units.
learn more about triangles here :
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Related Questions
Please show work thank you
Answers
Answer:
x = -10, x = -6
Step-by-step explanation:
[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]
PELASE HELP MEEEEE I REALLY NEED HELP
Answers
Answer:
2. 7238.23 mm
3. 55.42 ft
4. 703.86 ft
Step-by-step explanation:
Answer:
1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2
Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?
Answers
Answer:
Which subject is optional in the morning??
I need help ASAP. Find the length of arc FD if the radius is 94 and m
Answers
Answer:
[tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m
2. Order these numbers from least to greatest: 5,0,1,-15-3,-1
Answers
Answer:
Step-by-step explanation:
- 15, -3, -1, 0 , 1, 5
Answer:
-15,-3,-1,0,1,5
Step-by-step explanation:
help the whole question is right there, it's pretty easy I just don't have brainpower
Answers
Answer:
Your answer is 211.8
Step-by-step explanation:
We've made a right triangle so the equation is a²+b² = c²
141²+158² = c²
141²+158² = 44845
Then you square root it
√44845 = 211.8
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Answers
Answer:
The 2nd one is related to the climate
Step-by-step explanation:
HaVe An AmAzInG DaY
can someone help please it’s algebra 2
Answers
Answer:
length :16cm
wide :20cm
We have
Area of inner frame :16*20=320cm²
For
Total area =464cm²
(20+2x)(16+2x)=464cm²
320+32x+40x+4x²=464cm²
4x²+72x+320-464=0
4x²+72x-144=0
4(x²+18x-36)=0
x²+2.9.x+9²=9²+36
(x+9)²=117
x+9=√117
x=10.81-9
x=1.82[approximately]
So
width of frame;20cm+1.82+1.82=23.64cm
length: 16+1.82+1.82=19.64cm
Here length is smaller than breadth.
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Answers
Answer:
D
Step-by-step explanation:
Which angles are vertical angles?
Answers
Answer:
<BFC and <DCA
Step-by-step explanation:
Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex
hello please help i’ll give brainliest
Answers
Answer:
The first answer is correct.
Step-by-step explanation:
If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.
Hope that this helps!
Select the correct answer. If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answers
Answer:
The answer is C!
Step-by-step explanation:
n! = 120
n = 5
Answer:
c 5
Step-by-step explanation:
Took the test
A rectangular cardboard is 8cm long and 6cm wide. what is the least number of beads you can arrange on the board such that they are at least two of the beads that are less than √10cm apart?
Answers
Answer:
ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh
Which equation can be used to find 42x51?
Answers
Answer:
(40 x 50) + (2 x 1) = 2,000 + 2
Step-by-step explanation:
Which statement best describes the sequence defined by ?
The series diverges because it has a sum of 6.
The series converges because it has a sum of 3/4.
The series converges because it has a sum of 2.
The series diverges because it does not have a sum.
Answers
Answer:
well its not c so...
Step-by-step explanation:
that'll leave you w 3 others to choose from. sorry.
The series diverges because it does not have a sum option, fourth is correct.
What is the convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.
We have an infinite series:
[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]
[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]
The above series is geometric series with first term 2 and the common ratio is 2.
Here 2>1
By the ratio test, the series is divergent.
Since the common ratio is greater than 1 the sum will be infinite.
Thus, the series diverges because it does not have a sum option, fourth is correct.
Learn more about the convergent of a series here:
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Pythagorean Theorem finding value in x
Answers
Answer:
14.4 is the value of x in the nearest tenth
Step-by-step explanation:
c^2=a^2+b^2
Workers are using a nuke to carry equipment to work site. A mule can carry one bag of gravel that weighs 13 kilograms and some wooden posts. Each post weighs 4.5 kilograms.
What’s is the greatest number of wooden posts the mule can carry?
Please help
Answers
Because we know that a mule can carry ≈13kgs and each pole is 4.5 kg, so we do:
13/4.5≈ 2.88888889...≈ 3 wooden posts.
Answer:
14
Step-by-step explanation:
(cosA+sinA)
2
+(sinA−cosA)
2
=2
Answers
Answer:
Here we want to solve:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
First, remember the two expansions:
(a + b)^2 = a^2 + 2*a*b + b^2
(a - b)^2 = a^2 - 2*a*b - b^2
Using these relations, we can expand:
(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2
( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2
Replacing that in our equation, we geT:
(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2
We can simplify this to get:
2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2
2*cos(A)^2 + 2*sin(A)^2 = 2
We can take the 2 as a common factor to get:
2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2
Now we can divide both sides by 2:
2*( cos(A)^2 + sin(A)^2)/2 = 2/2
cos(A)^2 + sin(A)^2 = 1
And this is a trigonometric property that is true for any value of A.
So the equality:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
is true for any real value of A.
PLEASE SOMEONE HELP ME??!! i really need it!! thank you!!
A 45°-45°-90° triangle has a hypotenuse that is 162–√ cm long. Each leg of the triangle is ___ cm long
Answers
Step by step solution: See photo
How many unit fraction cubes fit into the first layer of the rectangular prism?
Answers
Answer:
33 cubes
Step-by-step explanation:
The first layer is 5 1/2 x 3 = 16 1/2
Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33
Helpppp pls
Find AB.
Answers
Since both sides are the same you can match both of the equations and solve for X which in this case is 3. So 4 * 3 = 12 + 3 = 15 and 5 * 3 also is 15 which makes it true since they are the same triangle.
A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3
Answers
Answer: 1,000 cm^3
Step-by-step explanation:
Volume of cube= bhw
All sides of a cube are equivalent so 10^3= 1000
Mia is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:45 P.M. They want to spend 1 hour and 15 minutes at the Empire State Building, 2 hours and 30 minutes in Central Park, and 1 hour and 15 minutes in Times Square. What is the latest time Mia's family can start their tour in order to make it to dinner on time?
Answers
Answer:
3:45pm
Step-by-step explanation:
the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.
4.
Find the x- and y-intercept of the line.
2x + 3y = -18
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
X - Intercept: (-9, 0)
Y - Intercept: (0, -6)
»»————- ★ ————-««
Here’s why:
The x and y-intercepts of a line is where a given function intercepts the x or y axes.
I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).
Therefore:
[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]
See the graph attached below!
»»————- ★ ————-««
Another way to solve this problem is to do this algebraically.
[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]
----------------------------
[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Someone help will mark brainlest and give alot of points please
Answers
because if you look at the picture it’s a little more than BC but a little less than BA
need help asap! will give brainliest!
Answers
Answer:
x = 9
Step-by-step explanation:
tan 53° = 12/x
x = 12/tan 53°
x = 9.04
What is the slope-intercept equation of the line below?
HELP PLS
Answers
Answer:
y = -5/4x + 3
Step-by-step explanation:
A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%
Answers
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%
Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?
Answers
Answer:
Option B, the y-intercept changes
Explanation:
This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.
Hope this helps!
7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?
Answers
Answer:
yoi
Step-by-step explanation:
yoi