Answer:
3 cm
Step-by-step explanation:
First, find the volume of the cone.
V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
V = [tex]\frac{1}{3}[/tex](3.14)(9)(12)
V = 113.04
This means the sphere is also 113.04
Use the formula V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
113.04 = [tex]\frac{4}{3}[/tex](3.14)r³
113.04 = 4.19r³
26.98 = r³
3 ≈ r
Answer:
3cm
Step-by-step explanation:
i just know hope it helps rate me 5 star
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28
Answer:
x = 10
Step-by-step explanation:
Data
AB=2xBC=x−2AC=28Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:
AB + BC = AC
Replacing with data:
2x + (x - 2) = 28
3x - 2 = 28
3x = 28 + 2
x = 30/3
x = 10
Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.
Answer:
251.20 cm square
Step-by-step explanation:
As given in figure
height of cylinder = 2 cm
radius of cylinder = 8 cm
lateral surface area of cylinder is given by = [tex]\pi r l[/tex]
where r is the radius and l is the height
Therefore, lateral surface area of given cylinder
[tex]\pi r l = 3.14*8*2 = 50.24[/tex]
area of base is give by [tex]\pi r^2[/tex]
since there is only one base area of that base
= [tex]\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96[/tex]
Thus,
Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square
Find the value of x and the measure of angle Y.
W
00
8
X< 62°
(4x - 2)°
Y
Value: 10
x is equal to
degrees.
Angle Y measures
degrees.
Answer:
x is equal to 16 degrees
Angle measures 62 degrees
Step-by-step explanation:
From Law of Sines:
XW/sin(∠Y) = WY/sin(∠X)
From the picture
XW = 8
WY = 8
∠X = 62°
Replacing into the equation:
8/sin(∠Y) = 8/sin(62°)
∠Y = 62°
Angle Y is also equal to:
∠Y = 4x - 2
62 = 4x - 2
62 + 2 = 4x
64/4 = x
16° = x
Discriminants - Check picture! (Will mark Brainliest for correct answer)
Answer:
8
There are two real solutions
Step-by-step explanation:
We have the following quadratic equation
[tex]2x^2+4x+1=0[/tex]
a refers to the coefficient next to [tex]x^2[/tex]
b refers to the coefficient with [tex]x[/tex]
c refers to the number without x
This means that
[tex]a=2\\b=4\\c=1[/tex]
We now can plug these variables into the discriminant formula
[tex]b^2-4ac\\\\(4)^2-4(2)(1)\\\\16-8\\\\8[/tex]
As our answer is positive, we can determine that this quadratic equation has two real solutions.
ASAP, pls I need help with these questions
Answer:
a) 2/5 x 900 = 360 hectares
b) 3/5th
c) 3/5 x 900 = 540
540 - 360 = 180
Farmer Richards needs to bring another 180 hectares under cultivation.
What is the solution to the linear equation? x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x x = –5 x = –negative StartFraction 1 Over 6 EndFraction x = StartFraction 1 Over 6 EndFraction x = 5
Your question is not well presented
Question:
What is the solution to the linear equation?
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Answer:
[tex]x = \frac{-5}{3}[/tex]
Step-by-step explanation:
Given
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Required
Simplify
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
[tex]x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
Subtract [tex]\frac{5}{6}x[/tex] from both sides
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}[/tex]
Take LCMs
[tex]\frac{6x - 4x -5x}{6}= \frac{2+3}{6}[/tex]
[tex]\frac{-3x}{6}= \frac{5}{6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{-3x}{6}= \frac{5}{6} * 6[/tex]
[tex]-3x= 5[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}= \frac{5}{-3}[/tex]
[tex]x = \frac{5}{-3}[/tex]
[tex]x = \frac{-5}{3}[/tex]
Answer:
x=-5
Step-by-step explanation:
A fair,six sided dice is thrown once. Select the probability of a 3 showing on the dice.
A= 1/6
B=1/2
C=6%
D=1/3
E=1:7
Answer:
A
Step-by-step explanation:
cause it only has 3 in l side
The probability of a 3 showing on the dice would be equal to 1/6. the correct option is A.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that A fair,six sided dice is thrown once.
There are 6 possibilities and 3 is one of them so, probability of 3 is 1 out of 6,
The probability of a 3 showing on a six-sided dice is;
P(E) = 1/6
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
which is the discriminant of the quadratic equation 6x^2 + x -8=0?
Answer:
0?
Step-by-step explanation:
The mean annual salary paid to all employees in a company was 1500 Kenya pounds The mean annual salaries paid to male and female employees were 1560 Kenya pounds and 1260 Kenya pounds respectively. Determine the percentages of males and females employed by the company.
Answer:
[tex]Male = 80[/tex]%
[tex]Female = 20%[/tex]%
Step-by-step explanation:
Given
Annual Mean Salary = 1500
Annual Mean Salary (Male) = 1560
Annual Mean Salary (Female) = 1260
Required
Percentage of male and female employed
Represent male by m and female by 4
So, total employees = m + f
The mean of an observation is calculated as thus;
Mean = Summation of observation divided by number of observations
For Male:
Annual Mean = Total Salary/Number of males
Recall that Annual Mean = 1560
Number of males = m;
The formula becomes
[tex]1560 = \frac{TotalSalary}{m}[/tex]
Multiply both sides by m
[tex]1560 * m = \frac{TotalSalary}{m} * m[/tex]
[tex]1560m = TotalSalary[/tex]
For Female:
Annual Mean = Total Salary/Number of females
Recall that Annual Mean = 1260
Number of females = f;
The formula becomes
[tex]1260 = \frac{TotalSalary}{f}[/tex]
Multiply both sides by f
[tex]1260 * f = \frac{TotalSalary}{f} * f[/tex]
[tex]1260f = TotalSalary[/tex]
Total Annual Salary = Annual Salary of Male + Annual Salary of Female
Total Annual Salary = 1560m + 1260f
The mean annual salary is calculated as thus;
Mean Annual Salary = Total Annual Salary/Total Employees
Recall that Total Employees = m + f and Mean Annual Salary = 1500
So, the formula becomes
[tex]1500 = \frac{1560m + 1260f}{m+f}[/tex]
Multiply both sides by m + f
[tex]1500(m+f) = \frac{1560m + 1260f}{m+f} * (m+f)[/tex]
[tex]1500(m+f) = 1560m + 1260f[/tex]
Open brackets
[tex]1500m+1500f- = 1560m + 1260f[/tex]
Collect like terms
[tex]1500f -1260f = 1560m - 1500m[/tex]
[tex]240f = 60m[/tex]
Divide through by 60
[tex]\frac{240f}{60} = \frac{60m}{60}[/tex]
[tex]4f = m[/tex]
Reorder
[tex]m = 4f[/tex]
At this point, the percentage male and female can be calculated;
Male = (Number of male/Total Employees) * 100%
[tex]Male = \frac{m}{m+f} * 100[/tex]%
Substitute 4f for m
[tex]Male = \frac{4f}{4f+f} * 100[/tex]%
[tex]Male = \frac{4f}{5f} * 100[/tex]%
[tex]Male = \frac{4}{5} * 100[/tex]%
[tex]Male = 0.8 * 100[/tex]%
[tex]Male = 80[/tex]%
If percentage of male = 80%
Percentage of Female = 100% - 80%
[tex]Female = 20%[/tex]%
Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
b
Step-by-step explanation:
Can someone help me solve this?
Answer:
x=3,y=-1 or (3,-1) The answer is D
Step-by-step explanation:
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit.How many 1/2 unit cubes does it take to fill the prism?
Answer:
48
Step-by-step explanation:
To create an image, Figure C is going to be translated 2 units to the left, reflected across the y-axis, and rotated 270° clockwise about the origin. What must be true about Figure C and its image?
Answer:
BRO THE IMAGE FORMED IS CONGRUENT
Step-by-step explanation:
Answer:
They are congruent
Step-by-step explanation:
Figure C will still stay the same shape and size because there was no dilation involved in the process. The image of Figure C will be in quadrant 1 and rotated 270° clockwise. Congruent means it is the same shape and size. So our answer is "They are congruent".
What's the result of translating the point (9, –5) using the rule (x, y) → (x + 7, y – 2)? Question 17 options: A) (2, –3) B) (16, –7) C) (9, –7) D) (16, –5)
Answer:
B
Step-by-step explanation:
(9+7, -5-2)
(16, -7)
Answer:
B
Step-by-step explanation:
How to Find the domain and range for graphs
Answer:
domain: possible x values
range: possible y values
Step-by-step explanation:
Matrix C is a transformation of matrix B, and matrix is a transformation of matrix A as shown below.
Answer:
edge 2022
Step-by-step explanation:
option b
Answer:
B is correct
Step-by-step explanation:
solve for slope. (-2,7) (-1,6)
Answer:
m = - 1/3
Thats the answer.
Step-by-step explanation:
To start a taco food truck service, a woman borrowed $7,500. If the loan was for 5 years and the amount of interest was $3187.50, what simple interest rate was she charged?
Answer:
The interest rate was 42.5%.
Step-by-step explanation:
Which graph represents the function f(x) = 4|x|? (please answer honestly I'm on a timed test rn)
Answer:
The graph that corresponds to the function is B.
Step-by-step explanation:
We want to see which one of the given graphs represents the function f(x) = 4*|x|
The correct option is the second graph.
How to find the correct graph?
Here we want to find the graph of the absolute value function:
f(x) = 4*|x|
To get it, we can evaluate the function in some values of x and then see which graph contains these points.
for example for x = 1 and x = -1 we have:
f(1) = 4*|1| = 4
f(-1) = 4*|-1| = 4
Then we need to see which graph contains the points (1, 4) and (-1, 4)
We can see that the only graph that contains these points is the second one, so the correct option is the second graph.
If you want to learn more about absolute value functions, you can read:
https://brainly.com/question/1782403
A line is parallel to y = 4x – 2 and
intersects the point (5, -11).
What is the equation of this parallel line?
y = [?]x +
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.
Answer:
y=4x-31
Step-by-step explanation:
Ignore the hint. Point slope form makes everything so much harder than it has to be.
Parallel lines always have the same slope, in this case 4.
So our equation is now: y = 4x + b
Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.
-11 = 4(5) + b
-11-20 = b
b = -31
So plug in b: y = 4x - 31
--------------------
Also rate and tell me if I'm correct :)
Answer:
y = -4x + 15.
Step-by-step explanation:
To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.
The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.
Using the point-slope form, we have:
y - y₁ = m(x - x₁),
where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.
Since the slope is undefined, the equation becomes:
y - (-1) = undefined(x - 4).
Simplifying:
y + 1 = undefined(x - 4).
Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):
y + 1 = -4(x - 4).
Expanding the right side:
y + 1 = -4x + 16.
To isolate y, we can subtract 1 from both sides:
y = -4x + 16 - 1.
Combining the constants:
y = -4x + 15.
Therefore, the equation of the perpendicular line is:
y = -4x + 15.
what is the difference between -17 and -7
Answer:
-10 or 10
Step-by-step explanation: I think its 10 but if its not it will probally be -10 i'm sorry if both of these are wrong. take care :) .
Answer:
-10 or 10
Step-by-step explanation:
-17
-07
-10
Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why?
Answer:
m= 20 because the rate of change is -3.
Answer:
The answer is D
a= 20 because the rate of change is -3
Step-by-step explanation:
edg 2022
Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
U
4(x +1)
x +1
(x + 1)2
Answer:
u=x+1
u2-4u+2=0
-2u+2=0
u=1=x+1
x=0
Step-by-step explanation:
Bill needs to edge his yard with the dimensions in the shape below. What distance will he have walked after completing his edging? Round your answer to one decimal place. Do not include units in your answer.
Answer:
37.8
Step-by-step explanation:
The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m
Using Pythagorean theorem:
d² = h² + b²
d² = 5² + 3²
d = √34
d = 5.8 m
Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters
question in attachment
Answer:
it is C. An = 2(2)^n
Step-by-step explanation:
Answer:it is C. An = 2(2)^n
Step-by-step explanation:
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 62 cm2
B) 147 cm2
C) 188 cm2
D) 260 cm2
Answer:
B
Step-by-step explanation:
34 + 36pi = 147
What is the area of the garden in Plan A? (Type the numeric answer only
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction
form)
Answer: Yes
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a circle = π r^2
Reamed hole area = π 0.278^2= 0.242794846
Pin Area: π ([9/32]/2)^2= 0.062126221
Diameter = 2 radius
Radius = diameter/2
Since
Hole Area > pin area
The pin will fit into the reamed hole.
Feel free to ask for more if needed or if you did not understand something.
the perimetre of a square is 6 cm calculate the area of the square
Answer
2.25cm^2
Step-by-step explanation:
Solution,
Perimeter of square(P)=6 cm
Length(l)=?
Now,
Perimeter of square=4l
or,6=4l
or, l=6/4
length= 3/2 cm
Again,
Area of square=l^2
=(3/2)^2
=9/4
=2.25 cm^2
Hope it will
Good luck on your assignment
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation: