Answer:
Step-by-step explanation:
V = 1/3 pi r^2 h
r = d/2
r = 6/2 = 3
h = 4.5
V = 1/3 *3.14 * 3^2 * 4.5
V = 1/3 * 3.14 * 9 * 4.5
V = 1/3 * 127.17
V = 42.39
HELP
Terry leaves his house
riding a bike at 20
km/h. Sally leaves 6 h
later on a scooter to
catch up with him
travelling at 80 km/h.
How long will it take
her to catch up with
him?
Answer:
2
Step-by-step explanation:
So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.
Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.
The varlables x and y vary Inversely. Use the given values to wrke an equation relating X and y
at the school Fall Festival the students council sold soda at the fundraiser the table below shows the number of sodas they sold and they cumulative total money.
A. 3.40 per soda
B. 1.40 Per soda
C. 2.40 Per soda
D. 3.60 per soda
Answer:
$4.80/2sodas
4.80/2=2.40
C. 2.40 per soda
Help with congruent angles - please
State if the 2 angles are congruent. If they are, state how you know
Answer:
They are not congruent.
The lines or the marks show that each side is congruent. If you compare the sides to where the angle is, you will see that it is not congruent.
find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))
Answer:
how many of these you got lol?
2 is same as 68 because isosceles triangle
1 is 90-68 = 22
3=2
4= 90
Answer:
[tex]\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\The\ quadrilateral\ is\ a\ rhombus.\\We\ know\ that,\\A\ rhombus\ is\ a\ parallelogram\ with\ all\ sides\ equal.\\As\ it\ is\ a\ parallelogram,\ the\ opposite\ sides\ are\ parallel\ too.\\Hence,\\\angle 3\ and\ \angle68\ form\ alternate\ interior\ angles\ to\ one\ pair\ of\\ opposite\ parallel\ sides\ in\ the\ rhombus,\ and\ are\ equal\ in\ measure.\\Hence,\\\angle 3=68\\[/tex]
[tex]As\ we\ know\ that\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors\ to\ each\ other:\\\angle 4\ forms\ a\ 90.\\Hence,\\\angle 4=90[/tex]
[tex]Now,\ lets\ consider\ the\ isosceles\ triangle\ created\ by\ two\ equal\ sides\ of\\ the\ rhombus\ with\ one\ of\ its\ base\ angles\ \angle 2.\\Now,\\We\ know\ that,\\Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too.\\Hence,\\As\ the\ two\ sides\ are\ equal,\\Base\ angles\ \angle 68\ and\ \angle 2\ are\ equal\ too.\\Hence,\\\angle 2=68[/tex]
[tex]Now,\ lets\ consider\ the\ triangle\ made\ up\ of\ \angle 1\ and\ \angle 2:\\We\ know\ that,\\\angle 2=68 [Proven]\\The\ third\ angle\ is\ 90\ as\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors.\\Hence,\\\angle 1+ \angle 2 +90=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\\angle 1+ \angle 2=90\\\angle 1+68=90\\\angle 1=90-68\\\angle 1=22[/tex]
[tex]By\ putting\ it\ all\ together\ we\ have:\\\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]
7: please help! please only real answers; will report
Answer:
The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] a real function, we define the following function operations:
Horizontal translation
[tex]g(x) = f(x + a)[/tex] (1)
If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.
Vertical translation
[tex]g(x) = f(x) + a[/tex] (2)
If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.
Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:
[tex]g(x) = \log_{2} (x+5)-4[/tex]
The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].
Find the unknown side length x.
Answer:
x = [tex]\sqrt{65}[/tex]
Step-by-step explanation:
The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)
Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)
[tex]4^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]
16 + 49 = [tex]x^{2}[/tex]
65 = [tex]x^{2}[/tex]
x = sq rt 65
Given that triangle ABC ~ triangle DEF, solve for x and y
The value of x and y are 42/5 and 55/6 after using the property of a similar triangle.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have two triangles shown in the picture.
By using the property of a similar triangle:
y/7 = 11/x = 6/5
y/7 = 6/5
y = 42/5
11/x = 6/5
x = 55/6
Thus, the value of x and y are 42/5 and 55/6 after using the property of a similar triangle.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
Which expression is equivalent to (StartRoot 3 EndRoot + i) cubed? URGENT!!!!!!!!!! WILL GIVE BRAINLIEST
Answer:
third option
Step-by-step explanation:
Using De Moivre's theorem
([tex]\sqrt{3}[/tex] + i)³ , then
| [tex]\sqrt{3}[/tex] + i |
= [tex]\sqrt{(\sqrt{3})^2+1^2 }[/tex]
= [tex]\sqrt{3+1}[/tex] = [tex]\sqrt{4}[/tex] = 2
arg([tex]\sqrt{3}[/tex] + i) = [tex]tan^{-1}[/tex]( [tex]\frac{1}{\sqrt{3} }[/tex] ) = [tex]\frac{\pi }{6}[/tex]
Thus
([tex]\sqrt{3}[/tex] + i)³
= 2³ [ cos(3 ×[tex]\frac{\pi }{6}[/tex] ) + isin( 3 × [tex]\frac{\pi }{6}[/tex] ) ]
= 8 [ cos([tex]\frac{\pi }{2}[/tex]) + isin([tex]\frac{\pi }{2}[/tex] ) ]
Answer:
C
Step-by-step explanation:
Someone help me please I don’t get it
Answer:
x = [tex]\frac{15}{2}[/tex] , x = 1
Step-by-step explanation:
(a)
[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = [tex]\frac{15}{2}[/tex]
(b)
3x + 2 = [tex]\frac{2x+13}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
9x + 6 = 2x + 13 ( subtract 2x from both sides )
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1
IXL- 8th grade math W.14
A person can pay $11 for a membership to the art museum and then go to the museum for just $5 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $31?
Answer In the number of visits. (Step by step if you could please I’m doing this IXL having no idea how to do these)
Answer:
4 visits.
Step-by-step explanation:
First make an equation to represent the cost of the museum stuff using the formula y=mx+b
y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)
Now we need to figure out how many visits a bill of $31 would represent.
We plug in 31 for y because y represents the total cost.
31=5x+11
Now solve for x.
Subtract 11 from both sides: 20=5x
Divide each side by 5: 4=x
Since x=4, it means that a bill of $31 would represent four visits.
Answer:
The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.
Step-by-step explanation:
Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.
$31 - $11 = $20
Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.
$20 / $5 = 4
So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.
Sophia is shopping for a new basketball. The basketball she is going to buy is priced at $18.50, but she has a coupon for 20% off. How much money will she save if she uses the coupon?
Answer:
$14.80
Step-by-step explanation:
18.50 * 0.20 = 3.70
Then
18.50 - 3.70
Yo I am not 100% sure. I have 90% sure that it is right answer though.
If that isn't one of your answer choices then it means it is 3.70.
Solve by substitution.
X = y + 3
3x + y = 25
5 squared plus 5 squared plus 8 squared.
Answer:
114
Step-by-step explanation:
25 + 25 + 64 = 114
what numbers 60, 90, 30, and 45 mean in each ratio statement?
Answer:
Step-by-step explanation:
30 is half or 60
45 is half of 90
1:2 ratio
If J is the centroid of CDE, DE=52, FC=15, and HE= 14, find each missing measure
Answer:
DG = 26
GE = 26
DF = 15
CH = 14
CE = 28
Step-by-step explanation:
Find the image attached for the complete question
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.
The following expressions are therefore true
DG + GE = DE and DG = GE
Substituting
DG + DG = DE
2DG = DE
Given DE - 52
2DG = 52
DG = 52/2
DG = 26
Since DG = GE, hence GE = 26
Also DF + FC = DC and DF = FC
Since FC = 15, hence DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14, hence CH = 14
CE = 14+14
CE = 28
DG = 26, GE = 26, DF = 15, CH = 14, CE = 28
IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts
Therefore,
DG + GE = DE ....(1)
DG = GE ...(2)
Substituting (2) in (1) ,we get
DG + DG = DE
2DG = DE
Also, DE = 52 (Given)
So, 2DG = 52
DG = 26
As, DG = GE,
Therefore, GE = 26
Also, DF + FC = DC and DF = FC
As, FC = 15,
So, DF = 15
Also CH + HE = CE and CH = HE
Since HE = 14,
So, CH = 14
CE = 14+14=28
So, CE = 28
Therefore, DG = 26 , GE = 26, DF = 15, CH = 14, CE = 28
Learn more:https://brainly.com/question/20756448
I need it step by step please
Answer: None of the lines are parallel to one another
======================================================
Explanation:
Solve each equation for y
Line a:
4y+x = 8
4y = -x+8
y = (-x+8)/4
y = (-x/4) + (8/4)
y = (-1/4)x + 2
This equation is in the form y = mx+b with slope m = -1/4
---------------
Line b:
2y+x = 4
2y = -x+4
y = (-x+4)/2
y = (-x/2) + (4/2)
y = (-1/2)x + 2
The slope is m = -1/2. It is not parallel to line a because parallel lines must have the same slope (but different y intercept).
-----------------
Line c:
2y = -3x+6
y = (-3x+6)/2
y = (-3x/2) + (6/2)
y = (-3/2)x + 3
The slope here is m = -3/2. it is not parallel to line a, and it is not parallel to line b either for similar reasons discussed above.
-----------------
In summary, none of the three lines are parallel to one another. The graph below visually confirms this. Each pair of lines intersects at exactly one location, showing they cannot be parallel.
Dilate the figure by a scale factor 1/2 of with the origin as the center of Gilation. What are the coordinates of the image ABC?
Answer:
The coordinates of the image ABC will be:
A'(3, 3)B'(6, 6)C'(15, 12)Step-by-step explanation:
Given the vertices of an original triangle
A(6, 6)B(12, 12)C(30, 24)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged
If the scale factor is between 0 and 1, it gets shrunk
If the scale factor = 1, the object and the image are congruent
Rule to calculate the dilation by a scale factor 1/2 centered at the origin
P(x, y) → P'(1/2x, 1/2y)
so
A(6, 6) → A'(1/2(6), 1/2(6)) → A'(3, 3)
B(12, 12) → B'(1/2(12), 1/2(12)) → B'(6, 6)
C(30, 24) → C'(1/2(30), 1/2(24)) → C'(15, 12)
Therefore, the coordinates of the image ABC will be:
A'(3, 3)B'(6, 6)C'(15, 12)a club has two membership levels gold and silver gold members pay 10$ per year and silver members pay 5 per year.The Club collected 300$ on memberships this year.Let g the number of gold members this year.which graph models the relationship between the number of gold and silver members?
Answer:
A
Step-by-step explanation:
CAUSE MATH
I GOT THE SAME QUESTION AND GOT IT CORRECT. YEET :))))))))
what is the distance between -3 and 2 on the number line
Enter the expression using exponents. 13 × 13 × 13 × 13 × 13 × 13 × 13
13 BY THE POWER OF 7
Step-by-step explanation:
Answer:
13^7
Step-by-step explanation:
13^7 is equal to multiplying the same number 7 times ,/////,
I need help ASAP!!!!!!!!!!!!!!!!!!!!
Answer: 56/33
Step-by-step explanation: Tan= Opposite over Adjacent or O/A
The volume of a substance in the gaseous state is about 1,000 times the volume of the same substance in the liquid state. How much space would 18 mL of water take up if it evaporated?
Answer:
18000ml or you an also say 18000[tex]cm^{2}[/tex] and 18 [tex]dm^{2}[/tex]
Step-by-step explanation:
In order to solve this question we will just have to multiply the current volume of the water by 1000. So we get....
18 x 1000 = 18000ml
If you will need to give the answer in [tex]cm^{2}[/tex] or in [tex]dm^{2}[/tex], then if we know that [tex]1ml = 1cm^{2}[/tex]. We can say that the volume of 18 ml of water is equal to.....
18000ml = 18000[tex]cm^{2}[/tex]
18000ml = 18 [tex]dm^{2}[/tex]
(HELP ASAP) Use numerals instead of words.
What is the equation of the parabola passing through the points 2,3 , 6,9and 8,0?
Answers:
-1 in the first box19/2 or 9.5 in the second box-12 in the third box=================================================
Work Shown:
We'll use the template y = ax^2 + bx + c
If (x,y) = (2,3) is on the parabola, then y = ax^2+bx+c turns into 3 = a(2)^2 + b(2) + c. That simplifies to 4a+2b+c = 3If (x,y) = (6,9) is on the parabola, then y = ax^2+bx+c turns into 9 = a(6)^2 + b(6) + c. That simplifies to 36a+6b+c = 9If (x,y) = (8,0) is on the parabola, then y = ax^2+bx+c turns into 0 = a(8)^2 + b(8) + c. That simplifies to 64a+8b+c = 0The system of equations is
[tex]\begin{cases}4a+2b+c = 3\\36a+6b+c = 9\\64a+8b+c = 0\end{cases}[/tex]
We have 3 equations and 3 unknowns.
-----------------------------------
Let's solve the first equation for c
4a+2b+c = 3
2b+c = 3-4a
c = 3-4a-2b
c = -4a-2b+3
Plug that into the second equation and simplify
36a+6b+c = 9
36a+6b+(-4a-2b+3) = 9
32a+4b+3 = 9
32a+4b = 9-3
32a+4b = 6
2(16a+2b) = 6
16a+2b = 6/2
16a+2b = 3 .... we'll use this later
Plug that value of c into the third equation as well
64a+8b+c = 0
64a+8b+(-4a-2b+3) = 0
60a+6b+3 = 0
3(20a+2b+1) = 0
20a+2b+1 = 0
20a+2b = -1
--------------------------
We have a new system of equations. This time it deals with 2 variables instead of 3. We can think of this as a reduced equivalent system.
[tex]\begin{cases}16a+2b = 3\\20a+2b = -1\end{cases}[/tex]
Note how subtracting the terms straight down has the b terms canceling (since 2b-2b = 0b = 0)
The 'a' terms subtract to 16a-20a = -4a
The terms on the right hand side subtract to 3-(-1) = 3+1 = 4
We end up with the equation -4a = 4 which solves to a = -1
Use this value of 'a' to find b
16a+2b = 3
16(-1)+2b = 3
-16+2b = 3
2b = 3+16
2b = 19
b = 19/2
b = 9.5
Now use the values of a and b to find c
4a+2b+c = 3
4(-1)+2(9.5)+c = 3
-4+19+c = 3
15+c = 3
c = 3-15
c = -12
--------------------------
Summary:
The values of a,b,c we found were
a = -1b = 19/2 = 9.5c = -12So the function is
f(x) = -x^2 + (19/2)x - 12
which is equivalent to
f(x) = -x^2 + 9.5x - 12
To check this answer, plug in x = 2, x = 6, x = 8 one at a time. You should get y = 3, y = 9 and y = 0 in that order.
Answer:
f(x)=-x^2+9.5-12
Step-by-step explanation:
- for the first box
9.5 for the second box
-12 for the third box
can anyone help with me with this question?
Answer:
35
Step-by-step explanation:
Answer:
y = 35°
Step-by-step explanation:
if the lines are parallel, the alternate interior angles theorem applies ("if a transversal intersects two parallel lines then alternate interior angles are congruent"). so since we know that the lines are parallel, the alternate interiors are congruent so 70=2y. from there, divide both sides by 2 to isolate y (division property of equality) and y=35.
An item is regularly priced at $75. It is now priced at a discount of 65% off the regular price
Answer:
you pay $26.25
you save $48.75
Step-by-step explanation:
Trust
5. Which one choice is written in scientific notation.
A. 0.2 x 107
B. 11 x 10-8
C. 1.01 x 10-2
D. 82 x 10°
Answer: A is
Step-by-step explanation: its the only one that follows the rules
X = [ ? ]
PLEASE HELP
Step-by-step explanation:
60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)
Therefore 2x = 60° and x = 30°.
Answer:
Step-by-step explanation:
2x + 60 = (180 - 60)
x = (180-120)/2
x = 30
. If n(A)=2 n(B)=3 n(AՈB) =24, what is the value of n(AUB)?
Step-by-step explanation:
The answer is is the picture..
Explain how to estimate the quotient using compatible numbers.
27 2/3 divided by 3 9/10
Answer:
The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.
Step-by-step explanation:
Hope this helps,
Please give brainliest if you like my answer
Have a great day