Answer:
side length = 4
Step-by-step explanation:
Let x = the side length
Area is x•x, which is x^2.
Perimeter is x+x+x+x, which is 4x.
x^2 = 4x
x^2 - 4x = 0
Factor.
x(x-4) = 0
x = 0 or x = 4
Discard 0 as an answer as it is not useful.
x = 4.
Area = 4^2 = 16
Perimeter = 4(4)= 16
The side length is 4.
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box
Answer:
h = 25 cm
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
given A = 450 and b = 18 , then
18h = 450 ( divide both sides by 18 )
h = 25
Answer:
h = 25cm
Step-by-step explanation:
Addison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4?
Total outcomes:
So the final answer is "60"
if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY
Answer:
Step-by-step explanation:
The diameter to answer 3.92 A=4 pi r2 d=2r
R Given:07F = FRY: RFY: LFY
Prove: AFRY:ΔFLY
STATEMENT REASON
YLF =FRY. 23.
RFY=LFY. GIVEN
FY=FY(underlined) 24.
ΔFRY=ΔFLY. 25.
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
What is the AAS Congruence Theorem?The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.
To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:
S1: ∠YLF ≅ ∠FRY (Given)
S2: ∠RFY ≅ ∠LFY (Given)
S3: FY ≅ FY (Transitive property)
S4: ΔFRY ≅ ΔFLY (AAS theorem)
Learn more about the AAS Theorem on:
https://brainly.com/question/4460411
what is the difference in length beetween a 1 1/4 inch button and a 3/8 inch button
Answer:
7/8
Step-by-step explanation:
First you have to make the fractions into a common denominator. So I made 1 1/4 into 10/8. Now you just subtract 2/8 from 10/8 and get 7/8.
What is the value of x to the nearest degree?
Answer:
The answer is 68°
Step-by-step explanation:
Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.
The value opposite to your angle is 5, and the value that is adjacent to it is 2.
In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.
This gives a value of 68.19459, rounded to just 68.
HELP ASAP PLEASE NO LINKS
Jason researched the number of women and men enrolled in colleges in the United States.
. MO - 0.081 +6.18 represents the number of men enrolled, in millions
• WO) - 0.21 +4.93 represents the number of women enrolled, in millions
. t represents the number of years after 1975.
Which expression represents how many more women than men (in millions) were enrolled in colleges in the United States in 2001?
A) 0.39(2001) + 11.11
B 0.39(26) +11.11
(C
0.13(2001) - 1.25
D
0.13(26) - 1.25
Answer:
C
Step-by-step explanation:
0.081+6.18 =6.261
0.21+4.93 =5.14
6.261 - 5.14 = 0.13
Please help i need quick answers
We see that 24 is split into 8q.
Therefore 8q equals 24 --> 8q = 24 --> q = 24/8 = 3.
So q = 3.
Hope it helped!
PLEASE HELP!
Will try to give the brainliest!
Answer:
L: (15+6x) W: 2
L: (10+4x) W: 3
L: (5+2x) W: 6
Step-by-step explanation:
We don't have any numbers here to do calculations, so probably this is just an exercise in FACTORING. Also to practice that area is length times width.
The area given,
30 + 12x
can be factored several ways to be able to fill in the table.
This kind of factoring is like "un-distributive property" where a common factor can be factored out of the expression. Usually its helpful to factor out the greatest common factor (GCF) but in this case any common factor will do.
Also, unless there are more directions, either factor may be the length or the width.
2(15+6x)
3(10+4x)
6(5+2x)
What is the answer to this?
Volume Formula: length x width x height
---Let's first write down what we're given.
Volume = 80
Length = 4
Width = 4
Height = ?
---Now, plug what we know into the formula for volume and solve for the missing variable.
80 = 4 x 4 x h
80 = 16 x h
h = 5
g = 5 centimeters
Hope this helps!
Help please and thank you
20 possible points if anyone gets this correct
Answer:
13
Step-by-step explanation:
I counted the X's of 1-3 and got 13 in total.
(Let me know if that was correct) :)
Answer:
13 students
Step-by-step explanation:
To solve this you count the x's above 1, 2, and three.
I hope this helps!!
(90 points) what's the area of a 5m circle , 50 mm circle , 40in circle , 7ft circle, 21mm circle and a 70cm circle all using 3.14 or 22/7 for pi
Answers:
AREA OF A CIRCLE = pi x r^2
5m circle:
when it says 5 i think it means diameter so divide by 2 for radius
5/2 = 2.5
3.14 x 2.5^2=
3.14 x 6.25=
19.625m^2
50mm circle:
50/2= 25
3.14 x 25^2=
3.14 x 625=
1962.5mm^2
40in circle:
40/2= 20
3.14 x 20^2 =
3.14 x 400=
1256in^2
7ft circle:
7/2= 3.5
3.14 x 3.5^2=
3.14 x 12.25=
38.465ft^2
21mm circle:
21/2= 10.5
3.14 x 10.5^2=
3.14 x 110.25=
346.185mm^2
70cm circle:
70/2=35
3.14 x 35^2=
314 x 1225=
3846.5cm^2
Hope that helps :)
Please help! will give brainlest!
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)
Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia to do it alone?
100 points and brainliest if u answer this right
Consider this dilation
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
a) Enklargement, b) k = 2Step-by-step explanation:
a)
The original figure is ABC and the image is A'B'C'.
We can see the image is larger than the original figure.
It indicates that the dilation is an enlargement.
b)
Find the ratio of corresponding sides to find the scale factor.
First get the measure of corresponding line segments.
AC = 2 - (-2) = 4A'C' = 5 - (-3) = 8The scale factor is:
k = A'C'/AC = 8/4 = 2#1
Enlargement#2
Take two sides of both
BC=|-3-1|=4unitsB'C'=|-3-5|=8unitsScale factor:-
k=8/4=2Write f(x) = 2x2 – 44x 185 in vertex form. To write f(x) = 2x2 – 44x 185, factor out from the first two terms. Next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 – 22x 121) 185 – 242 The function written in vertex form is f(x) = (x – )2.
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
[tex]f(x) = 2(x^2 - 22x )+ 185[/tex]
Add and subtract 121, we have
[tex]f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57[/tex]
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
1. 2
2. 2
3. 11
4. -57
Step-by-step explanation: actual answers
There are 210 counters in a bag.30 percent of these counters are red.Work out the number of red counters in the bag
Answer:
63
Step-by-step explanation:
30 percent * 210 =
(30:100)* 210 =
(30* 210):100 =
6300:100 = 63
The diagonals of rhombus $ABCD$ intersect at $E$ . Given that $m\angle BAC=53°$ , $DE=8$ , and $EC=6$ , find $m\angle AED$ .
Based on the definition of the diagonals of a rhombus, m∠AED = 90°.
What are the Diagonals of a Rhombus?A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.
Angle 90 is formed at the intersection of the two diagonals of a rhombus.
In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.
Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.
Learn more about diagonals of a rhombus on:
https://brainly.com/question/20627264
four friends earned $5.20 for washing a car They shared the money equally how much did each friend get.
Answer:
$1.30
Step-by-step explanation:
We need to figure out how much each friend gets out of the 5.20 so we will have to divide :)
5.20/4 = $1.30
Have an amazing day!!
Please rate and mark brainliest!!!
Need help on my problem
Answer:
Step 1: 2*5 - 4y = 2
Step 2: 10 - 4y = 2
Step 3: -4y = -8
Step 4: y = 2
Step-by-step explanation:
prove that :
opposite side of parallelogram are equal
Step-by-step explanation:
Given: A parallelogram ABCD with AC as its diagonal
To prove: <A=C & <B=<D
Proof:
Opposite sides of parallelogram is parallel
So, AB || DC and AD || BC.
Since AB || DC
& AC is the transversal
< BAC = < DCA (Alternate angles...(1) )
Since AD || BC & AC is the transversal
<DAC = < BCA (Alternate angles)...(2)
when adding equation 1 and 2
<A=<C
In similar case,
<B=<D
What is the solution to the equation below?
Answer:
C
Step-by-step explanation:
sqrt(2 - 3x)/sqrt(4x) = 2
sqrt(2 - 3x) = 2×sqrt(4x)
now let's just square both sides
2 - 3x = 4×4x = 16x
2 = 19x
x = 2/19
Ethan's living room is 11 feet wide and 16 feet long. He wants to put a border around the top of the room. The cost of the border is $1.00 per foot. How much will it cost to buy enough of the border to go around the room?
Philip is a football player who runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? explain why
Answer:
Average velocity
Step-by-step explanation:
The average speed is only different from average velocity because it has direction.
The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.
HELP ASAP !
b) findthe equation of circle having (2,3) and (4,0) as the end points of the diameter
Answer:
[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]
Step-by-step explanation:
Let A(2,3) and B(4,0) be the end points of the diameter
then the segment AB is the diameter of the circle
Then the center of the circle (point M) is the midpoint of segment AB
Then M( (2+4)/2 , (3+0)/2 ) then M( 3 , 3/2 )
Now let’s find the radius r of our circle :
r = AB/2
Then
[tex]r=\frac{AB}{2} =\frac{\sqrt{(0-3)^{2}+(4-2)^2} }{2} =\frac{\sqrt{13} }{2}[/tex]
Then Equation of the circle is:
[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} = \left( \frac{\sqrt{13} }{2} \right)^{2} \\\Longrightarrow \left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]
Mai earns a salary of $200 per week plus an additional 5% commission on her sales. If
Mai's weekly salary increases by $25 and her commission increases to 6%, how much will
she earn if her weekly sales are $2,500?
so Mai had booming sales of $2500, now her commission used to be 5%, but since she rules it went up to 6%, how much is her commission on that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 2500}}{\left( \cfrac{6}{100} \right)2500}\implies 150[/tex]
since her salary which used to be $200 but is now 200 + 25 = $225, so for that week she earned 225 + commission or 225 + 150 = 375.
PLEASE HELP ME! THERE IS A PICTURE
Answer:
I think 10
letter C.
Step-by-step explanation:
divide *2
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =
The missing value is 12 in a system of equations with infinitely many solutions conditions.
It is given that in the system of equations there are two equations given:
[tex]\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?[/tex]
It is required to find the missing value in the second equation.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
We have equations:
[tex]\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)[/tex]
Let's suppose the missing value is 'Z'
We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.
From equation (1)
[tex]\rm y = -2x+4 \\\\\rm 2x+y=4[/tex](multiply both the sides by 3)
[tex]\rm 6x+3y=12[/tex] ...(3)
By comparing the equation (2) and (3), we get
M = 12
Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.
Learn more about the linear equation.
brainly.com/question/11897796
F(x)=x^2
G(x)=x^2-8x+16
In which direction and by how many units should f(x) be shifted to match g(x)?
Answer:
4 units right
Step-by-step explanation:
The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.
g(x) = (x -4)²
Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.
f(x) should be shifted right 4 to match g(x)
_____
Additional comment
The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.