Answer:
Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
Step-by-step explanation:
Given:
Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]
To find: Dimensions of a cylinder
Solution:
Let [tex]r,h[/tex] denote height of a cylinder.
Volume of a cylinder = [tex]\pi r^2h[/tex]
Therefore,
[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]
One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].
Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]
So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]
Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a single algebraic expression that can be used to find the cost of Christian’s ticket after the discount.
Answer:
83/100 x 180
Step-by-step explanation:
We have to find the cost of the ticket after the discount.
100% - 17%= 83%
83% of the total percentage of the original price that he needs to pay.
So we do:
83/100 x 180
So, this would be the expression.
Hope this helps!:)
Rita has 10 centimeters of
ribbon. She cuts the
ribbon into 8 equal pieces.
What is the length, in
centimeters, of each
piece of ribbon?
Answer: 1.25
Step-by-step explanation:
because it is
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
C=12
Step-by-step explanation:
2x12=24
3x12=36
5x12=60
2. The cost of Matt and Natalie's dinner was $23.25. They want to leave a
18% tip. What is the amount of the tip they are going to leave?
Answer:
$4.19 tip
Step-by-step explanation:
23.25 x 0.18 = $4.185
Find the quotient.
12a3p4 ÷ -2a2p
-6a3p5
-24ap3
-6ap3
6a5p3
Step-by-step explanation:
Given
12a³p^4 / - 2a²p
= - 6* a^3 - 2 * p^4- 1
= - 6ap³
Hope it will help :)
The expression 36/6x2+1 is equal to
13
4
2
18
Answer:
13
Step-by-step explanation:
....….........….....
HELP PLZZZZZzZZzzzzzz
Answer:
43.98
Step-by-step explanation:
Which 2 equations would you use to solve this system?
—
The difference of two numbers is 4. Their sum is 32. What are the numbers?
• x + y = 4
• x - y = 4
• x + y = 32
• x - y = 32
Answer:
x-y=4
and
x+y=32 is your equation
difference of two number =x-y is equal to 4
sum of two number=x+y is equal to 32
x-y=4.......(1)
x+y=32.......(2)
adding equation 1 and 2
x-y +x+y=4+32
2x=36
x=36/2=16answer
substituting value of y in equation 1
16-y=4
16-4=y
y=12 answer
Which best defines the term empirical evidence?
evidence based on facts and figures
evidence based on emotions
evidence based on another person’s testimony
evidence based on experience and observation
Answer:
the fourth answer, hope this can help
Answer:
evidence based on experience and observation
Step-by-step explanation: 100%
Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please
Answer:
Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!
Write as a product (5c-3d)^2-9d^2
Answer:
25c^2-30cd
Step-by-step explanation:
The product of expression is,
⇒ 5c (5c - 6d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (5c - 3d)² - 9d²
Now, We can write the expression in form of product as;
⇒ (5c - 3d)² - 9d²
⇒ (5c - 3d)² - (3d)²
⇒ (5c - 3d - 3d) (5c - 3d + 3d)
⇒ (5c - 6d) (5c)
⇒ 5c (5c - 6d)
Thus, The product of expression is,
⇒ 5c (5c - 6d)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
PLEASE HELP ME!!! I HAVE 15 MINS
the right answer for that question is c
PLEASE HELP!
James ran 28 miles in `2\frac{1}{3}`hours. What was his rate in miles per hour?
Write the expression, then solve. Must show all work.
Answer:
15 mph
Step-by-step explanation:
28mi=2 1/3
2 1/3 = 2 hrs 20min
110min
28/110=.254 mi per min
.25*60=15 mi per hrs
Find the area of equilateral triangle with side a. Please answer with completely simplified exact values. Answer: A = sq. Units
Solution :
It is given that the length of a side of a triangle is given by 'a'.
It is an equilateral triangle.
So the three sides will be of equal length and is a, a, a units.
Now the semi perimeter of the equilateral triangle is given by :
[tex]$S=\frac{a+a+a}{2}$[/tex]
[tex]$=\frac{3}{2}a$[/tex]
Therefore, using the Heron's formula, we can find the area of the equilateral triangle.
Area of the equilateral triangle is given by :
[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]
[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]
[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.
A screen printer can pack up to 24 sweatshirts into a box for shipping.
In which inequality does n represent the minimum number of boxes needed to ship 360 sweatshirts to a customer?
Answer:
n = 15
Step-by-step explanation:
360 ÷ 24 = 15.
good luck, i hope this helps :)
Answer:
N = 15
Step-by-step explanation:
John had 30 sneakers, with 18 of the black. What is the ratio of the sneakers that are not black
Answer:
18:12
Step-by-step explanation:
30-18=12
18:12
Help me with this!!!
With what??????
I love your face
please help seems easy just can’t figure out the answer
Answer:
b is 125
Step-by-step explanation:
In the figure, [tex] \angle[/tex] AOB = [tex] \frac{1}{2} [/tex][tex] \angle[/tex] BOC and [tex] \angle[/tex] BOC = [tex] \frac{2}{3} [/tex][tex] \angle[/tex] COD . Show that [tex] \angle[/tex] COD = [tex] \frac{1}{2} \angle[/tex] AOD mentioning necessary axioms.
~Thanks in advance !
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ }\angle AOD=180[/tex] Straight Angle Theorem
[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex] Angle Addition
[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex] Substitution
[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex] Given
[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex] Given
[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex] Multiplication
[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex] Addition
[tex]10)\text{ } \angle COD=90[/tex] Division Property of Equality
[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex] Division Property of Equality
[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex] Substitution
Answer:
this is your answer. good luck.
Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad?
Fractions.
Answer:
Improper fraction: 8/3 Mixed Number: 2 2/3
Step-by-step explanation:
In this problem , you have to divide the 8 pounds of fruit into three different salads.
So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3
please, PLEASE answer this fast! I have 1 hour left before I pass it. Please help :( answer it properly! Thank you in advance.
-This is grade 8 math-
1.What elements belong to Set A and Set B?
2. Is there a repetition of the first elements in the ordered pairs? How about in second elements of the ordered pairs?
3. Does the set of ordered pairs represent a relation?
4. How is a relation represented?
Answer:
The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)
Step-by-step explanation:
10x-3y=3 Can somebody find the slope for me please
Answer:
Y=-1+10/3x
Step-by-step explanation:
The slope is 10/3x and the point is -1. I think this is correct, but I’m not sure
Answer:
y=10/3
Step-by-step explanation:
10x-3y=3
-10x -10x move 10x
-3y=-10x+3
-3. -3. -3. divide
y=10/3x
Can someone help pls? With working out if possible :)
Answer:
x=7/2
Step-by-step explanation:
first, multiply 3/4 and 5/8 into the () to get rid of them.
3/4x -3/4 = 5/4x -5/2
next, combine like terms
5/4x -3/4x = -3/4 +5/2
1/2x = -3/4 +10/4 = 7/4
divide both sides by 1/2
x= 7/2
One type of cereal has 2 grams of protein per 1 cup serving. Another cereal has 1 gram of protein per half cup serving. Do these rates form a proportion?
7 students in Ms. Moore’s algebra class earned Bs and that represents 35% of the class. How many students were in the class
Answer:
20
Step-by-step explanation:
not sure if it is correct:
7÷35=0.2
0.2×100=20
What is the MAD of these numbers 1,1,4,5,5,5,6,7,7,10,10?
Please give an explanation
Answer:
2.2314
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
1+1+4+5+5+5+6+7+7+10+10= 61
61÷11= 5.5-2.5= 2.2
Example:
Find the MAD of 2,4,6,8
Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2
y = x + 8
4x – 2y = -12
Answer:
x = 14
y = 22
Step-by-step explanation:
y = x + 8
4x - 2y = -12
Solve
_____________
Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.
4x - 2(x + 8) = -12
Distribute :
4x - (2(x) + 2(8)) = -12
4x - 2x +16 = -12
Combine like terms :
2x + 16 = -12
Subtract 16 from both sides :
2x = -28
Divide 2 from both sides to get x alone :
x = 14
Now that we know what x is, substitute it in the first equation to get y :
y = (14) + 8
y = 22
Answer:
(2 , 10) or x = 2 & y = 10
Step-by-step explanation:
y = x + 8
4x – 2y = -12
1. Substitute x + 8 in for the y in the other equation.
2. Solve for x
3. Take the solution for x and substitute the number in for the x in y = x + 8.
4. Solve for y.
5. Your answer is the result.
4x - 2(x + 8) = -12 Distributive Property
4x - 2x - 16 = -12 Combine like terms
2x - 16 = -12 Isolate the x, so start by moving -16
+ 16 +16
2x + 0 = 4 Delete the 0. It is a place holder you don't need
2x = 4 Isolate the x by dividing both terms by 2.
2 2
x = 2
y = x + 8 Substitute the 2 in for x and solve the one step equation.
y = 2 + 8
y = 10
After the neighborhood block party 2/4 of the brownies were left in the pan. Then Claire ate 1/6 of the leftovers. How much of the entire pan did she eat?
PLEASE ANSWER ASAP !!!!
Answer:
Step-by-step explanation:
(3,4)(4,8)
4/1
m=4
The cost(c)of chicken varies directly as its weigth(w)equation
Answer:
[tex]c = kw[/tex]
Step-by-step explanation:
Given
c varies directly as w
Required
Write the equation
c varies directly as w.
Mathematically, this is represented as:
[tex]c\ \alpha\ w[/tex]
Convert to equation.
[tex]c = kw[/tex]
Where k is the constant of variation