Answer:
7 cm to 1 decimal place
Step-by-step explanation:
We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π × r² × h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so
→ Step 1 form the equation
π × r² × h = 4620
→ Step 2, substitute in the values in this case we only need to substitute in the height
π × r² × 30 = 4620
→ Step 3, divide 30 from both sides to isolate π and r²
π × r² = 154
→ Step 4, divide both sides by π to isolate r²
r² = 154 ÷ π
r² = 49.0197224723
→ Step 5, square root both sides to isolate 'r'
r = 7.0014086063
So the radius of the cylinder is 7 cm to 1 decimal place
Answer:
7.00 cm.
Step-by-step explanation:
V = π r^2 h so
r^2 = V / π h
r = +√(V / πh)
r = +√( 4620 / 30π)
r = 7 .00cm.
in your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and you can’t see the color of the socks. What is the probability of randomly picking a yellow sock?
A.) 1/23
B.) 1/2
C.) 1/12
D.) 1/11
E.) 1/24
Answer:
1/2
Step-by-step explanation:
There are 12+12 = 24 socks in the drawer
P(yellow) = number of yellow socks/ total socks
= 12/24
=1/2
For a right triangle, what happens to the value of sine as the angle increases?
Answer:
In a right triangle, as the angle increases, the value of the sine increases.
Step-by-step explanation:
Think of the unit circle, a circle with radius 1 unit centered at the origin which is the point with coordinates (0, 0). Draw a radius of the circle from the center, to point (1, 0) on the positive x-axis. The angle formed by this radius and the positive x-axis is 0 degrees. This is an angle in standard position. The endpoint of the radius on the circle has a y-coordinate. The y-coordinate is the sine of the angle. As you choose points on the circle going up from the positive x-axis, the angle formed by the radius connected to the point on the circle and the positive x-axis increases in measure until it coincides with the positive y-axis, where it has a measure of 90 degrees. The sine of the angle is always the y-coordinate of the point on the circle. As the angle increases from 0 to 90 degrees, the y-coordinate increases from 0 to 1. The acute angles of a right triangle can have measures of only between 0 and 90 degrees.
Answer: In a right triangle, as the angle increases, the value of the sine increases.
Which of the following is a rational number?
Square root of 36, 0.93993..., square root of 85, or 3.4563728...
Answer:
It would be the square root of 36.
Step-by-step explanation:
Ella has $50,000 is a saving account. The savings collect interest at an 8% annual rate that compounds every year. How much money will be in Ellas account after 5 years?
Answer:
210000$
Step-by-step explanation:
1st we find the SI which will be P*R*T/100=50000*8*5/100
=32000
32000 will be added per year
32000*5=160000 for 5 years
160000+50000=210000$
Joshua has 30 trading cards. He adds 20 cards to his collection each week.
Mackenzie has 45 trading cards and adds 20 cards to her collection each week.
How many cards will each person have after 6 weeks?
Answer:
Joshua will have 150 cards.
Mackenzie will have 165 cards.
HELP ASAP I AM GIVING BRAINETEST
Answer:
7 / 6
Step-by-step explanation:
2 / 6 + 5 / 6 = 7 / 6
Covert one third into two sixths
–4x – 7 = y x2 – 2x – 6 = y Which statement is true? There are no real number solutions. There is one unique real number solution at (–1, –3). There is one unique real number solution at (1, –3). There are two real number solutions at (–1, –3) and (1, –7).
Answer:
There is one unique real number solution at (–1, –3)Step-by-step explanation:
Given the two linear equation
–4x – 7 = y ...1
x² – 2x – 6 = y ...2
Equating the left hand side of both equations since they are equal to the same variable y will give;
[tex]-4x-7=x^{2} -2x-6\\collecting\ the\ like\ terms\\x^{2} -2x+4x-6+7 = 0\\x^{2} +2x+1 = 0\\x^{2} +x+x+1 = 0\\x(x+1)+1(x+1)=0\\(x+1)^{2}=0\\ taking\ square\ root\ of\ both\ sides\\x+1 = 0\\x = -1\\[/tex]
Substituting x=1 into equation 1 we have;
[tex]y=-4(-1)-7\\y=4-7\\y = -3[/tex]
This means there is only one unique real number solution at (-1, -3)
Answer:
The answer is B
Step-by-step explanation:
A stock investment went up $25\%$ in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be back to its original price at the beginning of 2006?
Answer:
20%
Step-by-step explanation:
Let x represent the initial value of the stock at the beginning of 2006. And y the value at the end of 2006.
When it went up by 25% in 2006;
y = x + 25% of x = x + 0.25x = 1.25x
For the value to go back to the original price, it has to decrease from y to x;
y = 1.25x
The percentage decrease from y to x is;
= (y-x)/y × 100%
Substituting the values;
= (1.25x -x)/1.25x × 100%
= 0.25x/1.25x × 100%
= 0.2 × 100%
= 20%
Therefore, it will have to go down 20%
A. 28.1 cm squared
B. 3.8 cm squared
C. 11.3 cm squared
D. 56.2 cm squared
Answer:
A. 28.1 cm^2
Step-by-step explanation:
a = bh
a = (7.6)(3.7)
a = 28.12 cm^2
a = 28.1 cm^2
Can you please help me with this question please help and i will give you a Brainiest
Answer:
Cans for food drive
Step-by-step explanation:
Answer:
Cans for food drive
Step-by-step explanation:
The header should encapsulate all aspects of the table.
Cans of food are brought by the teachers to be donated to the food drive. Hence the answer should be cans for food drive.
Cans recycled are out of context as the cans of food are for donation as seen in the table, not for recycling.
Favourite food and favourite teacher cannot be measured by the data provided which is which teacher bringing how many cans of food for donation. Hence, these 2 are not the answer as well.
You have an 8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint. To create a certain shade of green, you need a paint mixture that is 80% yellow. How many pints of yellow paint do you need to add to the mixture? Write an equation to model this situation. Solve your equation.
Answer:
You need to add 12 pint of yellow.
Step-by-step explanation:
This is the method I used:
There is 4 pint of Yellow (Y) and 4 pint of Blue (B)
because they said is in equal amounts, so they are 50% each.
We need 80% Y and 20% B
so 4:20 = x=80 (4 pints is 20% as "how many pints" is 80%)
So x = 16
We already have 4 pint of Yellow, so we need more 12.
6.4 pint of yellow paint we need to add to the mixture.
What is percentage?"A percentage is a number or ratio that can be expressed as a fraction of 100."
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint.
Let we need 'x' amount of yellow paint.
To create a certain shade of green, you need a paint mixture that is 80% yellow.
So, we get an equation [tex]\frac{x}{8}\times 100 =80[/tex]
We solve above equation.
[tex]\Rightarrow \frac{x}{8}\times 100 =80\\\\\Rightarrow \frac{x}{8} = \frac{80}{100}\\\\ \Rightarrow x = 0.8\times 8\\\\\Rightarrow x = 6.4~~pints[/tex]
Therefore, 6.4 pint of yellow paint we need to add to the mixture.
Learn more about the percentage here:
https://brainly.com/question/22111589
#SPJ2
Type the correct answer in the box
6 inches across
12 inches up and down
A machine part consists of a half sphere and a cylinder, as shown in the figure. The total volume of the part is ____ pie cubic inches.
Answer:
126 pie cubic inches.
Step-by-step explanation:
i dont have one^ but i completed the test with a 100%
What is the perimeter of the figure?
Answer: 48
Step-by-step explanation: Tienes q sumar lo que suman todos los lados.
15×2=30
9×2=18
30+18=48
What is 84/100 simplifyed
Answer:
21/25
Step-by-step explanation:
84/100
Divide the top and bottom by 4
84/4 = 21
100/4 = 25
84/100 = 21/25
Answer:
21/25
Step-by-step explanation:
84/100 divided by 2/2=
42/50 divided by 2/2=
21/25
A car travels 100 meters in 5 seconds. What is the speed of the car in miles per hour?
speed = distance over time; 1 mile = 1609 meters
Answer: 5,000 you'll welcome
Step-by-step explanation:
What is the hydrogen ion concentration
of orange juice that has a pH of 1?
0.1 mole per liter
0.01 mole per liter
0.0001 mole per liter
0.00001 mole per liter
Answer:
0.1 mole per liter
Step-by-step explanation:
i got it right
$ $
The circle graph below shows the percent of students in Jim's class
that prefer each sport.
baseball: 30%
basketball: 15%
soccer: 10%
X
football: 45%
If 50 students were surveyed, how many students prefer any sport but
soccer?
Answer:
45 students
Step-by-step explanation:
To find how many students don't prefer soccer, we have to take 90% of 50. This is because 10% of the 50 students like soccer, so the percentage that don't like it is 100-10=90%. 90% of 50 = 0.9*50 = 45 students.
What is the solution to the system of equations below?
y=-3x+8 and x = -6
Answer:
( - 6 , 26 )
Step-by-step explanation:
You can solve this in a number of ways, you can graph it, you can substitute the value of x into the first equation, or you can do it the elimination method.
So lets just do the substitution method because i can't do the others on here, i can't write :/.
so substitute x = -6 into the equation y = -3x + 8
y = -3(-6) + 8
y = 18 + 8
y = 26
now you know what (X) equals to and what (Y) equals to so its,
(-6,26)
Last month a cafe had 3200 customers 600 of them ordered gluten-free meals
Answer: 18.75%
Step-by-step explanation:
Here is the complete question:
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
To find the percentage of the customers who ordered gluten-free meals, we will divide the number of people who ordered glutton free meal by the total number of customers and then multiply by 100. This will be:
= 600/3200 × 100
= 0.1875 × 100
= 18.75%
Find the slope of a line parallel to each given line
Answer:
x intercept = 1
y intercept = - 5
slope = -5
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = (-5 - 0)/ (1 - 0)
m = -5
(4,3.5,5,5.5,4,2)
What is the mean of City A?
a.)4
b.)5
c.)8
d.)12
Answer: 4
Order the Numbers
Before: 4,3.5,5,5.5,4,2
After: 2,3.5,4,4,5,5.5
Add
2+3.5+4+4+5+5.5=24
Divide
24÷6=4
Under what condition is it NOT possible for an integer a to be divided by an integer b ?
Answer:
An integer, a, cannot be divided by an integer, b, when [tex]b=0[/tex]
Step-by-step explanation:
There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.
As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.
Point A is at (3, 4) and point M is at (5.5,0).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
the real answer is (8,-4)
Step-by-step explanation:
If the midpoint of the AB is (5.5, 0) then the coordinate of the B will be given as (8, -4).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A is at (3, 4) and point M is at (5.5,0).
Point M is the midpoint of points A and B.
Then the point of B is given as
[tex]\rm (x_1,y_1) = (2x-x_2, 2y-y_2)\\\\(x_1,y_1) = (2\times 5.5 - 3, 2\times 0-4)\\\\(x_1,y_1) = (8, -4)[/tex]
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
Zhen is an audiobook narrator. The table gives some completed audio lengths and the amount of time Zhen spends researching, recording, and editing the audiobook.
Completed length of audiobook (hours) Working time (hours)
1 6 1/2
3 1/2 22 3/4
7 45 1/2
10 65
What does 6 1/2 mean in this sitiuation?
a. Zhen 6 1/2 hours working for every hour of the completed audiobook.
b. Zhen completes 6 1/2 audiobooks in an hour.
c. Zhen spends 6 1/2 hours working per audiobook.
Answer:
c. Zhen spends 6 1/2 hours working per audiobook.
Step-by-step explanation:
The table below gives some completed audio lengths and the amount of time Zhen spends on the audiobook.
[tex]\left|\begin{array}{c|c}$Completed length of audiobook (hours) &$Working time (hours)\\---------&--------\\1&6\frac{1}{2} \\\\3\frac{1}{2}&22\frac{3}{4}\\\\7&45\frac{1}{2}\\\\10&65\end{array}\right|[/tex]
We observe that from the table, in 6.5 hours, Zhen completes 1 audiobook.
In fact, across the table:
[tex]\dfrac{6\frac{1}{2}}{1}=\dfrac{22\frac{3}{4}}{3\frac{1}{2}}=\dfrac{65}{10}=6\dfrac{1}{2} $ hour per audiobook[/tex]
Therefore, in this situation, 6.5 hours mean that Zhen spends 6.5 hours working per audiobook.
The correct option is C.
Two numbers are in the ratio 7:5 . When 10 is subtracted from each term , the ratio becomes 3:2 .Find the numbers.
Answer:
Denote the two numbers: a and b
Two numbers are in the ratio 7:5
=> a/b = 7/5
=> a = (7/5) x b (1)
When 10 is subtracted from each term , the ratio becomes 3:2
=> (a - 10)/(b - 10) = 3/2
=> 2 x (a - 10) = 3 x ( b - 10)
=> 3 x b - 2 x a = 10
From (1) => 3 x b - 2 x (7/5) x b = 10
=> (1/5) x b = 10
=> b = 50
=> a = (7/5) x b = (7/5) x 50 = 70
Hope this helps!
:)
Marissa has saved $2000 to spend on airfare and hotel rooms at an all-inclusive resort. Her airplane ticket is $637 and the hotel costs $100 per night. Write and solve an inequality to show the maximum number of nights she stay at the resort on her alloted budget of $2,000.
Answer:
13
2000 -637=1,363-1300=63
Step-by-step explanation:
The length of a rectangle is $3x+10$ feet and its width is $x+12$ feet. If the perimeter of the rectangle is 76 feet, how many square feet are in the area of the rectangle?
Answer:
352ft²Step-by-step explanation:
Given the length of a rectangle = 3x+10
Width of the rectangle = x+12
Perimeter of the rectangle = 76ft
For us to get the area of the rectangle we need to get the value of its length and width.
Given the perimeter of a rectangle P = 2(L+W) where;
L is the length and W is the width, on substitution
76 = 2(3x+10+x+12)
76 = 2(4x+22)
76 = 8x+44
8x = 76-44
8x = 32
x = 32/8
x = 4
Substituting x = 4 into the function of the length and width we have;
Length = 3(4)+10
Length = 22feet
Width = 4+12
width = 16feet
Area of the rectangle = Length * Width
Area of the rectangle = 22feet * 16feet
Area of the rectangle = 352ft²
PLZ HELP 20 PTS
Match each value to the correct entry in matrix AB.
Answer:
Step-by-step explanation:
The matrix AB is:
[tex]AB=\left[\begin{array}{ccc}50&44&-43\\31&16&7\\37&119&-94\end{array}\right][/tex]
-----------------------------------
This question is solved using multiplication of matrices.
To do this, we multiply the lines of the first matrix by the columns of the second.
-----------------------------------
In this question:
The first matrix is:
[tex]A =\left[\begin{array}{ccc}5&7&2\\4&-1&3\\6&8&-5\end{array}\right][/tex]
The second matrix is:
[tex]B = \left[\begin{array}{ccc}6&11&-4\\2&1&-5\\3&-9&6\end{array}\right][/tex]
------------------------------------
First line:
The first element is the multiplication of the first line of A by the first column of B. So: [tex]AB_{1,1} = 5\times6 + 7\times2 + 2\times3 = 50[/tex]The second element is the multiplication of the first line of A by the second column of B. So:[tex]AB_{1,2} = 5\times11 + 7\times1 + 2\times -9 = 44[/tex]The third element is the multiplication of the first line of A by the third column of B. So:[tex]AB_{1,3} = 5\times -4 + 7\times-5 + 2\times6 = -43[/tex]------------------------------------
Second line:
Second line of A by each column of B, so:
[tex]A_{2,1} = 4\times6 - 1\times 2 + 3\times3 = 31[/tex]
[tex]A_{2,2} = 4\times11 - 1\times 1 + 3\times (-9) = 16[/tex]
[tex]A_{2,3} = 4\times(-4) - 1\times (-5) + 3\times 6 = 7[/tex]
------------------------------------
Third line:
Third line of A by each column of B, so:
[tex]A_{3,1} = 6\times6 + 8\times 2 - 5\times3 = 37[/tex]
[tex]A_{3,2} = 6\times11 + 8\times 1 - 5\times (-9) = 119[/tex]
[tex]A_{3,3} = 6\times(-4) + 8\times (-5) - 5\times 6 = -94[/tex]
------------------------------------
Thus, the matrix is:
[tex]AB=\left[\begin{array}{ccc}50&44&-43\\31&16&7\\37&119&-94\end{array}\right][/tex]
A similar question is found at https://brainly.com/question/12088021
Please help with this!!
Answer:
200
Step-by-step explanation:
As you can see the line marks and meets up with 200 as it marks with 60
Steven rolled a 1-6 number cube four times. What is the proballity that Steven rolled an odd number on all four rolls of
the die? (leave your answer as a reduced fraction)
Answer: 0.0625
Step-by-step explanation:
From the question, Steven rolled a 1-6 number cube four times. This means the 1-6 number cube has numbers 1, 2, 3, 4, 5 and 6. There are 3 odd numbers which are 1, 3 and 5. If the 1-6 number cube is rolled once, the probability will be:
3/6 = 1/2
Since Steven rolled the 1-6 number cube four times, the probability of getting an odd number on all four rolls of the die will be:
= 1/2 × 1/2 × 1/2 × 1/2
= 1/16
= 0.0625