Answer:
It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.
I got this answer by doing the formula for a cylinder
Blue cup Green cup
(π)(2^2)(8) (π)(4^2)(8)
= 32π =128π
Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink
To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.
It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.
It is required to find how many cupfuls of water to empty the sink.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
Sink volume V = 512π cubic inches
The blue cup diameter d(b) = 4 in or radius r(b) = 2 in
and height h(b) = 8 in
The green cup diameter d(g) = 8 in or radius r(g) = 4 in
and height h(g) = 8 in
The cup is the shape of a cylinder we know the volume of a cylinder is given by:
[tex]V = \pi r^2 h[/tex]
Volume for the blue cup:
[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex] [ r(b) = 2 in and h(b) = 8 in]
v(b) = 32π cubic inches
Volume for the green cup:
[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex] [r(g) = 4 in and h(g) = 8 in]
v(g) = 128π cubic inches
For a number of blue cups:
[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16
For a number of green cups:
[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4
Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.
Learn more about the volume here:
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y= -2x - 3
y= 7x + 6 solve by elimination
Answer:
x = y = - 1
Step-by-step explanation:
y = - 2x - 3
y = 7x + 6 -----> equation 1.
So,
7x + 6 = - 2x - 3
7x + 2x = - 3 - 6
9x = - 9
Divide 9 on both sides,
9x / 9 = - 9 / 9
x = - 1
Substitute x = - 1 in equation 1,
y = 7x + 6
= 7 ( - 1 ) + 6
= - 7 + 6
= 6 - 7
y = - 1
Therefore,
x = y = - 1
Step-by-step explanation:
please mark me as brainlest
what is the area of a triangle with a base with a length of 3 1/2 inches and a height of 3 inches
Answer: 5.25 square inches
Step-by-step explanation:
A=(1/2)bh=(1/2)(3.5)(3)=5.25
8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but
isn't sure how since she is only familiar with
graphing from slope-intercept form. Devise a plan
to help Charlotte graph the equation in the space
below, and then draw your graphed line.
Answer/Step-by-step explanation:
Note:
Graphing From An Equation:
Equation are frequently written in slope-intercept form { y = mx+b}.
Which "m" represents the slope and "b" represents the y-intercept.
Solutions and Equation:
Solutions to linear equations contain any points located on the graphed line.
Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true
Solve:
{x = 0 } 3(0) - 4y = 12
-4y = 12 (0, -3 )
-4y/-4 = 12/-4
y = -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
{y = 0} 3x-4(0) =12
3x = 12 (4,0)
3x/3 = 12/3
x = 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Lenvy~
Please help with both questions
Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding
What is the slope for a line that is perpendicular to the line x = -6?
Answer:
There is not a slope perpendicular to the lie x = -6
Step-by-step explanation:
In this equation, you are given a line, x = -6.
This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.
Eg. If you have the line y = 2x
The reciprocal is y = 1/2x, the opposite means negative
So the slope that would intersect this line perpendicularly is y = -1/2x.
There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.
If it were an option, I would choose "no slope"
i need help
will give 30 points
Answer:
Step-by-step explanation:
If x and y intercepts of the line are 3/2 and 5/4 respectively then the equation of the line is
Answer:
10x + 12y -15 =0
Step-by-step explanation
Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm
Answer:
210 cm²
Step-by-step explanation:
The area of the triangle can be found using the triangle area formula:
A = 1/2bh
A = 1/2(12 cm)(35 cm) = 210 cm²
_____
Additional comment
The legs (short sides) of the right triangle are effectively the base and height of the triangle.
The area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We have a right angle triangle with side lengths of 12cm, 35cm, and 36cm
Here the base length b = 12 cm
The height of the right angle triangle h = 35 cm
We know the formula for the area of the right angle triangle is given by:
[tex]\rm A = \frac{1}{2} bh[/tex]
[tex]\rm A = \frac{1}{2} \times 12\times 35[/tex]
A = 210 square centimeters
Thus, the area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm
Learn more about the right angle triangle here:
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pls help!! and thank you
find the area of the circles
Answer:
10) 25π OR 78.5398...yd 11) 1/4π OR 0.785398...ft 12) 100π OR 314.159265....in
Step-by-step explanation:
area of a circle = πr^2 (π x radius squared)
the radius is just half the diameter
so for eg:
number 10)
diameter = 10 yd so radius = 5 yd
5 squared = 25
π x 25 yd = 25π OR 78.5398...yd
i hope this helped :)
The measure of an angle is 63.9. What is the measure of its supplementary angle?
Answer:
116.1
Step-by-step explanation:
supplementary-180
complimentary-90
180-63.9= 116.1
Make x the subject K(x-a)=t
Answer:
x = t+ka/k
Step-by-step explanation:
First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division
Then you open the brackets which makes x-a = t/k
Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k
Answer:
x = [tex]\frac{t+ka}{k}[/tex]
Step-by-step explanation:
k(x - a) = t ← distribute parenthesis on the left side by k )
kx - ka = t ( add ka to both sides )
kx = t + ka ( divide both sides by k )
x = [tex]\frac{t+ka}{k}[/tex]
Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The remaining space is filled with packing beads. What is the volume occupied by the spheres?
Vsphere=[tex]\frac{4}{3}\pi r^3[/tex]
Answer:
670.21 inches^3
Step-by-step explanation:
To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:
V = 33.51032
Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.
V = 20 * 33.51032
V = 670.2064
If you round to 2 decimal places, this becomes 670.21.
The question is in the attachment.
Answer:
0.0816
Step-by-step explanation:
Given:
Total number of students = 5000Number of students taking an online class = 1200Number of students prefer watching baseball to football = 1700Let O = Students taking an online class
Let B = Students prefer watching baseball to football
Therefore,
P(O) = 1200/5000 = 0.24
P(B) = 1700/5000 = 0.34
If events O and B are independent,
⇒ P(O ∩ B) = P(O) · P(B)
= 0.24 × 0.34
= 0.0816
The dot plot below shows the results of a recent patient survey at Brookwood Medical Center. Use
the data to answer the following questions. If necessary, round your answer to the nearest tenth.
Find the mean and median scores.
Answer:
the median is 3.5
Step-by-step explanation:
there are 27 dots 27/2=13.5 therefore the answer is the 13th dot and a half 3.5 :) (i dont know for sure but i think the mean is 3)
The mean is 3 and the median is 3 for this list of numbers.
From the dot pot,
Arrange the number in order:
1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5
Now,
Mean = Average of all the values.
Median = Midvalue of the number.
Now,
There are 30 numbers in the list, so the mean is:
Mean = 90/30 = 3
To find the median, we need to find the middle number.
Since there are an even number of numbers in the list, we take the average of the two middle numbers:
The middle two numbers are both 3, so the median is:
Median = (3 + 3)/2 = 3
Therefore,
The mean is 3 and the median is 3 for this list of numbers.
Learn more about median here:
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The area of the triangle below is 3/40
square meters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b = 3/4
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
3/ 40 = 1/2 b ( 1/5)
Multiply
3/40 = 1/10 b
Multiply each side by 10
10 *3/40 = 10* 1/10 b
3/4 = b
The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3.
Answer:
[tex]y = \frac{1}{3} x^2[/tex]
Step-by-step explanation:
Vertical stretch = widens graph
Factor = multiply by [tex]\frac{1}{3}[/tex]
FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]
Hope this helps!
Find the size of angle x.
Answer:
x = 56°
Explanation:
x + 124° = 180°x = 180° - 124°x = 56°Note: A straight line has total 180°
Answer:
x = 56°
Step-by-step explanation:
x + 124° = 180° ( being linear pair )
X = 180° - 124°
X = 56°
Fill in the missing numbers in the sequence: 0.1, 0.25, 0.4, __, 0.7 ?
What is the correct answer for this?
Answer:
55.5 cubic yards
Step-by-step explanation:
Here,
Length ( l ) = 5 yd
Base ( b ) = 3.7 yd
Height ( h ) = 3 yd
To find : Volume
This shape is a cuboild.
Formula : -
Volume of cuboild = lbh
Volume of cuboild
= 3 x 5 x 3.7
= 55.5 cubic yards
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]
[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]
55.5 cubic yards
Find the solution of the system of equations.
x+2y=9
-6x+4y=-46
Answer:
x=-3.5 and y=6.25
Step-by-step explanation:
x+2y=9
x=9-2y
-6(9-2y)+4y=46
-54+12y+4y=46
16y-54=46
16y = 100
y = 100/16 = 50/8 = 25/4 = 6.25
x+2(6.25)=9
x+12.5=9
x= -3.5
What fraction is equivalent to four tenths and has a denominator of 100?
Answer:
[tex]\frac{40}{100}[/tex]
Step-by-step explanation:
You can multiply on the upper and bottom part by the same number without changing the fraction so [tex]\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}[/tex]
The five-number summary for the number of aces Olga served during each tennis match is shown in the following table.
\text{Min}Minstart text, M, i, n, end text Q_1Q
1
Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q
3
Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text
000 333 666 101010 141414
Olga had more than 666 aces in about what percent of tennis matches?
Answer:
50%
Step-by-step explanation:
the first number represent 0% then 25% then 50% then 75% then 100%
6 was in the half so 50%
Bryan decided to ride his bike along a new route home from school to avoid some construction. Before leaving school, he estimated how long the route would take. When Bryan arrived home, he saw the ride had taken him 16 minutes. His estimate had been 25% more than that. How long had Bryan estimated it would take to ride home from school?
Work Shown:
Estimate = 1.25*(actual time)
Estimate = 1.25*(16)
Estimate = 20
Bryan estimated it would take 20 minutes.
Note: The multiplier 1.25 represents an increase of 25%
Work out m and c for the line: 2 x + 3 y + 4 = 0
Answer:
18marrsm is waiting for your help.
Add your answer and earn points.
Answer
1
jimrgrant1
Genius
30.5K answers
219.5M people helped
Answer:
m = - , c = -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )
3y = - 2x - 4 ( divide all terms by 3 )
y = - x - ← in slope- intercept form
with slope m = - and y- intercept c = -
What is the value of k?
Answer:
10°
Step-by-step explanation:
According remote interior angles, 4k + 5 + 6k + 10 = 115.
10k + 15 = 115
10k = 100
k = 10
Hope this helps :)
Have a nice day!
Answer:
k = 10°
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for k from there.
115° = (4k + 5)° + (6k + 10)°
115° = 4k° + 5° + 6k° + 10°
115° = 6k° + 4k° + 10° + 5°
115° = 10k° + 15°
100° = 10k°
10° = k
k = 10°
What is the distance between the points (10,6) and (1,4)? If necessary, round
your answer to two decimal places.
A. 9.22 units
B. 7.81 units
C. 61 units
D. 85 units
Distance:-
[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]
[tex]\\ \rm\Rrightarrow 9.22units[/tex]
Please help me!!
If there is an equation let's say
15y = 6/x
Can you multiply 15y by 6
to get 15/6y=x
Or do you need to multiply by x and divide by 15
Answer:
Yes Girlie, you need to multiply by x and divide by 15!!!!!!!!!
Step-by-step explanation:
14. How much interest will you earn if depositing $25,000 to grow continuously at 9%
interest rate for 12 years?
Answer:
Step-by-step explanation:
i think this is the answer
What is the relationship between the difference in
the means and the MADs?
Answer:
Its the second one in the photo
Step-by-step explanation:
it's the second because when I clicked it I got it right.
What is 3(b+8) in Distributive Property
Answer:
3b + 24
Step-by-step explanation:
3*b=3b
3*8=24
therefore the answer is 3b+24
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)