Answer:
The answer is below
Step-by-step explanation:
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse side is equal to the sum of the square of the remaining sides. The hypotenuse is the longest side (that is side opposite to the 90° angle).
In right angle triangle ABD:
AB² = AD² + BD² (1)
In right angle triangle ACD:
AC² = AD² + CD² (2)
Also:
AC² + AB² = BC² (3)
But BC = BD + CD
AC² + AB² = (BD + CD)² (4)
Adding equation 1 and 2 gives:
AB² + AC² = (AD² + BD²) + (AD² + CD²)
AB² + AC² = 2AD² + BD² + CD²
substituting AC² + AB² = (BD + CD)²:
(BD + CD)² = 2AD² + BD² + CD²
BD² + 2(BD)(CD)+ CD² = 2AD² + BD² + CD²
2AD² = 2(BD)(CD)
AD² = BD * CD
If the volume of the cylinder is approximately 1,357 in3, what is the radius?
whats the height of the cylinder....
we cant find radius if not given height too
V = pie r^2 h
1357 = 22/7 x r^2 x 12
1357 = 264/7 r^2
multiply both side by 7/264 ;
r^2 = 36
r = 6in
The question has the image missing. Check the attachment for the complete question.
The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
What is the volume of a figure?The volume of a figure is the total space enclosed within the figure.
How do we determine the volume of a cylinder?The volume of a cylinder of radius r units, and height h units is determined using the formula,
The volume of the cylinder = πr²h.
How do we solve the given question?In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.
The volume of the cylinder is given to be 1357 in³ approximately.
By the formula,
The volume of the cylinder = πr²h
or, 1357 = 3.14*(r²)*12
or, 1357 = 37.68r²
or, r² = 1357/37.68
or, r² = 36.013 ≈ 36 = 6²
∴ r = 6.
∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
Learn more about the Volume of a figure at
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Look at the figure. If m 2JKM = 48, find m2).
Answer:
42 degrees
Step-by-step explanation:
triangle sum theorem says the sum of all triangles is equal to 180. I'm assuming this is a right triangle, so I created an equation similar to this:
90 + 48 + x = 180
Need help with this question
Need help on this one also
thanks the choices are
1. 3
2. 8
3. 6
4. 4
Answer:For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?
Step-by-step explanation:
Answer:
TV = 4
Step-by-step explanation:
answer choice 4. 4
Kevin plants a 5-yard by 9-yard rectangular vegetable garden. He puts rope around the edges. The rope costs $2 per yard. What is the total cost of the rope?
If m and n are two natural number and m^n =8,then n^mn is.
Answer:
729
Step-by-step explanation:
M has to be 2 and n has to be 3, because 2^3 = 8
if it was 3^2 it would be 9
2^3 = 8
3^(2*3) = 3^6 = 729
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Select the postulate or theorem that you can use to conclude that the triangles are similar.
SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem
Answer:
asa similarity postulate
Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answer with explaination.
Answer:
134
Step-by-step explanation:
the line where B and X are equal to 180 so you subtract 180 from B witch is 134
Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.
1. If we graph the equation, what is the slope of the graph?
2. Where does the graph intersect the y-axis?
3. Where does it intersect the x-axis?
Answer:
slope = -1/3
y-intercept = 4
x-intercept = 12
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
----------------------
rearrange into slope intercept form
1.5x + 4.5y = 18
subtract 1.5x from both sides
4.5y = -1.5x + 18
Divide both sides by 4.5
y = (-1/3)x + 4
------------------------
Slope
m = -1/3
---------------------
y-intecept
b = 4
---------------------
x intercept
this is where y = 0
0= (-1/3)x + 4
add (1/3)x to both sides
(1/3)x = 4
Multiply both sides by 3
x = 12
Do you know how to do this?
Answer:
[tex]y=4(3)^{x}[/tex]
Step-by-step explanation:
Let the exponential function is,
f(x) = (b)ˣ
If this function has the base (b) = 3, function will be.
f(x) = (3)ˣ
If this function is transformed by a vertical stretch by a factor of 4,
New function will be,
g(x) = 4(3)ˣ
If the function 'g' is reflected across y-axis, new function will be,
h(x) = g(-x)
h(x) = [tex]4(3)^{x}[/tex]
Therefore, equation of the function will be,
[tex]y=4(3)^{x}[/tex]
I got it wrong because I’m not too good in math but help a girl out, please
Answer:
24 is right
Step-by-step explanation:
PLEASE HELP DUE SOON PLEASE
Answer:
a.) He should shade in two
b.) This is because 7 is the magic number. This is in the sense that on player B's next turn there will be either 8 or 9 colored circles, which means you can just fill in the remaining amount.
Step-by-step explanation:
Two adjacent angles form an obtuse angle measured 164°. If m<1 = 3x+5 and m<2= 5x+9, find the measurement of the larger angle. Plz help and don't answer if you don't know for sure :) thxx
Answer:
102.75
Step-by-step explanation:
The two angles add to 164
<1 + <2 = 164
3x+5 + 5x+9 = 164
Combine like terms
8x+14 = 164
Subtract 14 from each side
8x+14-14 =164-14
8x = 150
Divide by 8
8x/8 = 150/8
x = 18.75
The larger angle is 5x+9 = 5(18.75) +9 =102.75
Please help asap. Thank you! :)
When he cubed ,
Result is x³
On further squaring x³, he got = (x³)²
[tex] {x}^{6} [/tex]
Therefore, k = 6
help me pls...............
Answer:
2.58
Step-by-step explanation:
3 1/3% = 0.03333
2.5 x 1 + 0.33333 gets us 2.5833
Simplify to 2.58
We add the 1 to 0.33333 to get us the original number.
Hope this Helps!
Find the value of x.
Answer:
65
Step-by-step explanation:
65+50=115
180-115=65
4. If z/y = x , which of the following statements is true?
[tex]\longrightarrow{\blue{ c. \: y.x = z }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{z}{y} = x[/tex]
[tex]➺ \: z = y.x[/tex]
[tex]➺ \: y.x = z[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Option C : y . x = z is the correct answer.
We have the following expression -
[tex]$\frac{z}{y} = x[/tex]
We have to identify the true statements from the one's mentioned.
If [tex]$\theta = \theta_{o}[/tex](1 + R) , then find R ?We have -
⇒ [tex]$\theta = \theta_{o}[/tex](1 + R)
⇒ R = [tex]\frac{\theta}{\theta_{o} } - 1[/tex]
According to the question, we have -
[tex]$\frac{z}{y} = x[/tex]
We can rewrite it as -
x . y = z
Hence, Option C is the correct answer.
To solve more questions on Rearranging expressions, visit the link below -
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Find the volume of the pyramid shown.
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation:
I will mark you brainliest if you answer this
show your working
8)(7x3 + 3x2+ 4x + 10) – (10 + 8x + 3x3)
9)(5x4– 4x3– 3x – 4) – (2x – 6x3– 2x4)
10) (7x3– 9x2– 7x – 8) – (8 – 4x2– 6x3)
11) 4(a + 5) – 5(a2– 4a + 7)
12) 8(y + 6) – 6(y2– 6y + 4)
13) 3(c – 4) – 5(c2+ 4c – 8)
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]
8.
[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]
9.
[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]
10.
[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]
11.
[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]
12.
[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]
13.
[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
1. Which term below could not be part of a polynomial expression?
- 3x
2
(1)
(3) x2
(2) 13
(4) 5x
what is the factor of 3x^{2} +9x-12=0[/tex]
Explain how the vertical line test can be used to determine if a graph
is a function.
Answer:
Step-by-step explanation:
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Example:
Answer:
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
David measures a side of a piece of wood. The length is 8 feet and the width is one-half if the length. What is the area, in square feet, of the piece of wood?
A=lw
A: 4
B: 16
C:32
D:108
Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].
Step-by-step explanation:
Give: Length = 8 feet
Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet
As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.
[tex]Area = length \times width[/tex]
Substitute the values into above formula as follows.
[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]
Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].
Why was Elmo's Report Card All Wet?
Answer:
why was it ♂️
All of his grades were down below c level
hehe
=)
A square pyramid and its net are shown below. What is the surface area of the pyramid?
Answer:
376
Step-by-step explanation:
16×16+16×15÷2
=256+120
=376
. There are 575 students in a school. If the number of girls is 54 more than the boys
how many boys are there in the school ?Find✌✌
there are 314.5 boys in the school .
Answer:
Solution given
let boys be x and girls be y.
now
according to the question;
x+y=575
and
y=x-54
substituting value of y in equation 1.
x+x-54=575
2x=575+54
x=629/2
x=314.5
Which graph shows the solution to the system of linear inequalities?
Answer:
Send q picture of the graphs so I can help
Step-by-step explanation:
need pictures of graph
10
c T is 4 units high. It is enlarged with a
scale factor of 4.
How high is the image?
Answer:
it is 14 pls make me brainliest pls
Step-by-step explanation:
Please help with my math! Question number 2
Answer:
17.804
Step-by-step explanation:
Pythagorean theorem. 14^2 + 11^2 = c^2
3-4: draw a picture to find the quotient.
5-6: use multiplication to find the quotient.