Answer :
8 meters .⠀
Explanation :
The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.⠀
To Find :
The height of the cylinder.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]
⠀
Where,
r is the radius of the cylinder.h is the height of the cylinder.⠀
Now, Substituting the values :
[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]
⠀
Cancelling π from both sides :
[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]
[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]
[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]
⠀
Therefore,
The height of the cylinder is 8 meters .To repair a roof that is 12 feet high, Mr. Callahan leans a 13-foot ladder against the side of the building. To reach the roof, how far away from the building should he place the base of the ladder
Answer:
5 feet away
Step-by-step explanation:
It is a Pythagorean Triple.
The hypotenuse is 13 feet and one of the sides is 12 feet. To find the length of the base, use the Pythagorean Theorem.
13^2=12^2+c^2
169=144+c^2
c^=25
c=5
Find the measure of each angle in Triangle ABC. m∠a=(50−x)°m∠b=(9x−40)°m∠c=90°
Answer:
40°
50°
90°
Step-by-step explanation:
sum of angle in a triangle is= 180°
(50-x)° + (9x-40)° + 90° = 180°
50-x+9x-40 + 90 = 180
50- 40 +90 -x+9x =180
100 + 8x = 180
8x = 180 -100
8x = 80
x = 80/8 =10
x = 10°
measure of a= (50-x) = 50- 10 = 40°
measure of b = (9x-40)= 90- 40= 50°
measure of c = 90°
can yall help me out??
Answer:
its drawn
Step-by-step explanation:
3 3/4 dozen (A)
Answer:
3 3/4
Step-by-step explanation:
8 3/4 beads dozen beads, uses 3 1/4 beads for necklace, 1 3/4 beads for necklace so she has used 3 1/4 + 1 3/4 beads which is 5 so 8 3/4 - 5 = 3 3/4
Zach's zoo has two elephants. The male elephant weighs 3/5 of a ton and the female elephant weighs 1/5 of a ton. How much more does the male weigh than the female?
Step-by-step explanation:
I think 3/5 - 1/5 = 2/5 of a ton
How many circles of radius 1 unit can you fit inside a
circle of radius 4 units so that they don't overlap?
Answer:
You can fit 11 circles
There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle is shown with radius 4 units.
Now,
Since, The circle is shown with radius 4 units.
Cleary, 4 = 1 + 1 +1 + 1
So, We get 4 circle of radius 1 unit can you fit inside a circle of radius 4 units.
But we find the circle that they don't overlap.
Hence, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
Thus, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.
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would a table of x- 1,2,3,4 and y- 5 7 9 11 be linear
Answer:
yes, it is
Step-by-step explanation:
The table shows a constant rate of change
y-5 7 9 11
5, 5+2, 7+2 ,9+2
Find the prime factorization of 35
Answer:
•The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).
Explanation:#Let's Study
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Which is the decimal expansion of StartFraction 7 Over 22 EndFraction? ModifyingAbove 0. 318 with bar 0. 3ModifyingAbove 18 with bar 0. ModifyingAbove 318 with bar 0. 31ModifyingAbove 8 with bar.
The answer to the question will be 0. 3 Modifying Above 18 with bar
What will be the decimal expansion of 7 over 22?
When we divide 7 by 22 we will get 0.3181818..........
Here 3 is not repeating but 18 is repeating again and again
So it is a Non-terminating repeating number
Thus the answers to the question will be 0. 3 Modifying Above 18 with bar
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join wants to buy a pumpkin that weighs 5.7 pounds the pumpkin is priced at 1.58 per pound. how much will John pay for the pumpkin.
Answer:
$3.61
Step-by-step explanation:
5.7/1.58=3.607
Round the zero up to a 1 because of the 7.
$3.61
A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX(x)? A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 33, 0. 33, 0. 33. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 75, 0. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0, 0. 5, 0. 5.
The probability is the ratio of the favorable event to the total number of events. Then the correct option is A.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A family has two children.
If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair.
Let X represent the number of times G occurs.
The table will be
X P(X)
0 0.25
1 0.50
2 0.25
Then the correct option is A.
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What is the simplest form of (–4v + 7)(3v – 5)?
A. −12v2−41v−35
B. −12v2−1v−35
C. −12v2+1v−35
D. −12v2+41v−35
If the length of the side of a square is 11cm. Then find its area and also find the total length of its boundary.
Answer:
[tex]\displaystyle 44\:cm. = P \\ 121\:cm.^2 = A[/tex]
Step-by-step explanation:
All angles and edges are congruent in a square, so first, find the total boundary by multiplying the length of the edge by 4:
[tex]\displaystyle 4l = P \\ 4[11] = P \\ \\ 44 = P[/tex]
Now, for the area, you square the length of the edge:
[tex]\displaystyle s^2 = A \\ 11^2 = A \\ \\ 121 = A[/tex]
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Find the slope of the line
Answer:
D) 5/3
Step-by-step explanation:
1. Look at the emphasized points of the line.
2. Count how many units up you have to go to get from the lower point to the upper point. That is your top number.
3. Count how many units right you have to go to get from the lower point to the upper point. That is your bottom number.
Please answer!!!!!!!!!!!
Answer:
the second one
Step-by-step explanation:
qudrant lv
Choose ALL answers that describe the quadrilateral VWXYVWXY if VW = 55VW=55, WX = 67WX=67, XY = 45XY=45, YV = 33YV=33, \text{m}\angle V = 143^{\circ}m∠V=143 ∘ , \text{m}\angle W = 46^{\circ}m∠W=46 ∘ , \text{m}\angle X = 95^{\circ}m∠X=95 ∘ , and \text{m}\angle Y = 76^{\circ}m∠Y=76 ∘ .
Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid
The quadrilateral VWXY is a trapezoid.
What is a quadrilateral?A quadrilateral is a polygon with four sides and four angles. Types of quadrilaterals are parallelogram, rectangle, rhombus, square and trapezoid.
A Trapezoid is a quadrilateral with a pair of opposite parallel sides.
Given a quadrilateral VWXY, WX = 67, XY = 45, YV = 33, VW = 55, and all the angles are different, hence:
The quadrilateral VWXY is a trapezoid.
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5. Three jars of crushed ginger costs $2.00. How many jars can you buy for $6.00?
Answer:
9 jars
Step-by-step explanation:
If 3 jars cost $2
and 3 times 2 is $6 then just multiply 3 by 3 to get 9 jars.
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9. If two sides in one triangle are 9 and 21 , then the third side might be
a) 9
b) 11
c) 12
d) 13
Please explain how you got the answer
Answer: D
Step-by-step explanation:
when the legs of a triangle are both 6 cm. what is the hypotenuse
Answer:
72
Step-by-step explanation:
to find the hypotenuse you need to do (Hypotenuse)^2 = (Base)^2 + (Altitude)^2, which is the Pythagorean theorem (a^2+b^2=c^2)
if the bases are both 6, you need to do 6^2+6^2= hypotenuse
6*6+6*6=?
36+36=72
so the hypotenuse is 72 cm
Johnny is training for a bike race. He recorded how far he rode in his first few training sessions.
Distance biked (mi.)
17 12 15 8 13 20 12 19
Which box plot represents the data?
help ASAP!
Base on the distance biked by Johnny, the box plot that represents the data above is the second box plot.
Box plot
A box plot is a visual graph that is used to display the median, lower and upper quartiles, and lower and upper extremes of a set of data.
Therefore, let's arrange the data in ascending order.
8, 12, 12, 13, 15, 17, 19, 20
median = 13 + 15 / 2 = 28 / 2 = 14
upper extreme = 20
lower extreme = 8
Therefore, the box plot that represent the data above is the second box plot.
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Write an equation using “” and then solve the equation. The late fee for each day is $2. A patron paid $72 for books that are overdue for 9 days.
ΔABC undergoes a translation to become ΔA'B'C'. Are the triangles congruent, similar, neither or both? Explain.
Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
2 units left and 3 units up
2 units left and 3 units down
2 units right and 3 units up
2 units right and 3 units down
Answer: 2 units left and 3 units up
Step-by-step explanation:
The correct phrase is option c that is the translation in graph is 2 units right and 3 units up.
What do you mean by translation of a graph ?
The modification of an existing graph or graphed equation to create a different version of the following graph is known as translation.
We know that the translation of any graph or a function meant changing the position from one to another.
It is given that the two functions are :
y = (x + 2)²
y = x² + 3
Let's check that in what way the first function is translated to second function.
So , the first function can be written as :
y = (x + 2 - 2)²
or
y = x²
Here , the function is translated by 2 units right.
Now , if we add 3 to the above function we get :
y = x² + 3
Here , the function is translated by 3 units up.
Therefore , the correct phrase is option c that is the translation in graph is 2 units right and 3 units up.
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Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they redistribute the pencils so that they all have the same amount? How many pencils should each person have?
Answer:
12
Step-by-step explanation:
First you have to add the amount of pencils each person has
14 + 9 + 12 + 13 + 12
Which equals 60
Then, you have to divide the total by the answer you got from above
60 / 5
Which equals 12
please help me find the answer
Answer:
Slope-1/2
Y-intercept 4
Step-by-step explanation:
To find slope count the amount of squares but use rise over run
To find the y intercept, look where the line intercepts with the y intercept
what is the distributive property of 6(2x + 5y).
Answer:
12x+30y
Step-by-step explanation:
6*2x+6*5y
12x+30y
Answer:
12x+30y
Step-by-step explanation:
6(2x+5y)
The distributive property is used if a number is in the form
[tex]a(b+c)[/tex]
To solve this problem, you need to multiply b and c by a.
[tex]=ab+ac[/tex]
Now, let's plug in your numbers.
a = 6
b = 2x
c = 5y
[tex]6(2x+5y)\\=(6)2x+(6)5y\\=12x+30y[/tex]
Madison is entering a bicycle race for charity. Her mother pledges $0. 80 for every. 5 miles she bikes. If Madison bikes 12 miles, how much will her mother donate?
so Im not sure about how an equation for this would look but im assuming her mom doesnt pay unless a full 5 is completed, in that case her mom donates $1.6, in the case less than 5 is still donated for we make .16 * 12 which is $1.92
During a sale, a store offered a 15% discount on a camera that originally sold for $600. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? Round to the nearest cent.
The final marked up price is $586.5
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Discount %=15 Marked price=$600 and after the sale marked up percentage is 15%
Thus, Discounted price = 600×(1-15%)
= 600× 0.85
=$510
And therefore the marked up price after sale is= $510×(1+15%)
= $586.5
Hence, The final marked up price is $586.5
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Triangle ABC is transformed to form triangle A'B'C'.
Which transformation of △ABC results in △A'B'C'?
Reflection across the x-axis
Rotation 180° about the origin
Translation 3 units down and 2 to the right
Rotation counterclockwise 270° about the origin
Answer: Rotation 180° about the origin
Step-by-step explanation:
In parallelogram rstu, what is su? 10 m 13 m 23 m 26 m.
Answer:
26
Step-by-step explanation:
none
The length of SU is 26.
What is Parallelogram?Opposite sides are parallel and congruentOpposite angles are congruentConsecutive angles are supplementaryDiagonals bisect each otherAs, we know the diagonal of parallelogram bisect each other.
So, UV = VS
x+ 3 = 2x- 7
Now, solve for we get
x - 2x = - 7 - 3
-x = -10
x = 10
Then, the length of SU
= UV + VS
= 10 + 3 + 2(10)-7
= 13 + 13
= 26
Thus, the required value is 26.
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