Answer:6.3 in.
Step-by-step explanation:
Given
Radius of sphere [tex]r=4\ cm[/tex]
When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel
Such that amount of water equivalent to sphere volume is collected in it.
volume of ball
[tex]V_s=\frac{4\pi }{3}r^3[/tex]
[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]
[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]
Now volume of water collected is in shape of cone then volume of cone
[tex]V_c=\frac{\pi }{3}r^2h[/tex]
and [tex]V_s=V_c[/tex]
[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]
[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
Answer:
It will be in the 3rd quadrant.
Step-by-step explanation:
Hope that helps!
Answer:
The rotated figure appears in the 3rd quadrant
Step-by-step explanation:
To visualize a problem can sometimes be challenging.
It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.
Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.
Corner coordinates are therefore:
A =( 1, 0)
B =( 2, 0)
C =( 2, 1)
D =( 1, 1)
Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).
The new coordinates are:
A' =(-1, 0)
B' =(-2, 0)
C' =(-2 -1)
D' =(-1, -1)
These are all in third quadrant.
Therefore, the rotated figure appears in the 3rd quadrant
How many years will Matt need to invest $4200 to earn $200 interest, if the simple interest rate is 2.5% p.a.? Round the answer to the nearest year
Answer: 2 years
Step-by-step explanation:
SI = prt / 100
200 = ( 4200 x 2.5 x t) / 100
200 = 105 t
t = 200/105 = 1.9
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)
Answer:
m= -1
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]
What is the ratio of quadrilaterals to shapes?Write the ratio as a fraction using the / symbol.
If the side on one shape is a and the side on the other shape is b, a common ratio between the two shapes r will exist so that a = b × r. Thus, to find a common ratio simply divide one corresponding side's length by the other: r = a ÷ b. It's as simple as that.
The value of 3⁵ ÷ 3-⁶
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
To solve more questions on exponents, visit the link below -
https://brainly.com/question/15531260
#SPJ6
What is the surface area of the shaded front face of the composite solid?
A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters
QUESTION 6
Answer:
26
Step-by-step explanation:
the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.
By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.
How to find the shaded area?Remember that for a rectangle of length L and width W, the area is:
A = L*W
Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.
These are (reading from left to right).
Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:
A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²
If you want to learn more about area:
https://brainly.com/question/24487155
#SPJ2
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ7
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points
Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
What is the correlation coefficient for the data shown in the
table?
0
1
оооо
4
5
Answer:
1
Step-by-step explanation:
Jamie spent
$196.76 on groceries this week. Of her total,
$16.15 was spent on taxes. What percentage of her total was spent on taxing?
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20
Answer:
x-3
Step-by-step explanation:
x+7-7>10-7
subtract 7 from both sides
The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?
Answer: the Temperature on Tuesday is 13 degrees Celsius
Please help me asap ty
Step-by-step explanation:
First, I would work out the missing angle:
25° + 90° (right-angle) = 115°
180° - 115° = 65°
The missing angle is 65°.
-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit
Answer:
Side AB = 4.41
Help please someone
Answer: 751 points
Step-by-step explanation:
454 + 297 = 751
Answer:
751
Step-by-step explanation:
-297 + 454 = 751
Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.
-5.8c + 4.2 - 3.1 + 1.40
Answer:
-3.3
Hope this helps!
Answer the question below
Answer:
a) The modal average is 3 bedrooms
b) The mean number of bedrooms is 2.825, or 3 rounded.
Step-by-step explanation:
If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.
For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+ g(x).
O A. 5x-3
O B. x-1
O c. x-3
O D. 5x-1
SUBMIT
Plzzz helpp
Answer:
5x-1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
f(x) + g(x) = 3x-2 +2x+1
Combine like terms
= 5x-1
Answer:
(f+g)(x)=5x-1
Step-by-step explanation:
To find (f+g)(x), add f(x) and g(x)
f(x)+g(x)
We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.
f(x)=3x-2
g(x)=2x+1
(3x-2)+ (2x+1)
Combine like terms. Add all the terms with a variable, then all the terms without a variable
(3x+2x)+(-2+1)
5x+(-2+1)
5x-1
(f+g)(x)=5x-1
In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a magnitude 3.0 earthquake was it?
Answer:
1000
Step-by-step explanation:
each number is 10 times more intense than the previous
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:130.4
Step-by-step explanation:
have good day
Graph the linear equation.
Answer:
Look at the image
Step-by-step explanation:
Plzzz answer ASAP. Plzz answer ALL three a,b,c
Answer:
I hope it helps . For any clarification , Please notify me through the comment section .
Step-by-step explanation:
[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]
Does anyone know the answer?
[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Answer:
[tex]210 \: \: \: degrees[/tex]
Step-by-step explanation:
Two equilateral triangles and a square are join together.
So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.
Also in a square all the angles are equal . it measures 90 degrees.
x = two triangle = 60 +60
square = 90
[tex]60 + 60 + 90 \\ = 210[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
What is the slope of the line? 2x+4y=6-y
Answer:
m= -2/5
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope m.
Answer:
-2/5
Step-by-step explanation:
plz mark brainliest!
describe to a friend how to graph a point at (2,5)
Answer:
So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!
Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it
Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance of 5 from y-axis.
What are the co-ordinates of a point in a graph?A point has two inputs namely the x-coordinate and y-coordinate. The x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.
Given point is (2,5)
Plot x=2 at a perpendicular distance from y axis measured along positive x axis
plot y=5 at a perpendicular distance from x axis measured along positive y axis
and we get the required point.
The point (2,5) is plotted in the graph attached with the answer.
Learn more about co-ordinates here:
https://brainly.com/question/27749090
#SPJ5
Mira is applying for a mortgage, and the bank wants to know how much she makes per year. She's paid $25 an hour and
works 30 hours a week. She needs to calculate how much she makes per year.
Select the correct answer from the drop-down menu.
Mira's annual income, assuming 52 weeks per year, is $
A- 9,000
B-22,500
C-39,000
Answer:
39,000
Step-by-step explanation:
$25x30=$750
$750x52=$39000
the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3
Answer:
the correct answer should be -2.65
Step-by-step explanation:
the mistake is dividing 17y by 15 instead of 17
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth’s statement?
Answer:
D)She may not be correct because means cannot be determined from Box plots.
Step-by-step explanation:
Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,
Box plot tells us about :
1) Mininmum value
2) 25th Percentile value
3)Median
4) 75th Percentile value
5)Maximum value
6) Interquartile Range
Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.
So,Option D is true
She may not be correct because means cannot be determined from Box plots.
Answer:
She may not be correct because means cannot be determined from the box plots
Step-by-step explanation:
If a=4, b=5 and c=7, calculate 2a + 3c
Answer:
2a + 3c = 29
Step-by-step explanation:
2a + 3c =
= 2×4 + 3×7
= 8 + 21
= 29