Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (5 m)³
V = 524 m³
Final answer:
The volume of a sphere with a radius of 5 meters rounded to the nearest whole number is 524 cubic meters, calculated using the formula V = (4/3)πr³.
Explanation:
The question is asking for the volume of a sphere with a radius of 5 meters. To find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere. In this case, the radius r is given as 5 meters.
Plugging in the values, we get:
V = (4/3)π(5³) = (4/3)π(125) = 523.6 cubic meters.
When we round to the nearest whole number, we get 524 cubic meters.
Therefore, the correct answer from the options provided is 524m³.
the quotient and the divisor are the same number. the sum is 8. write the related facts
Answer:
Starting from the definitions of each concept, we have to:
Divider = number you are dividing
Quotient = result of division
Therefore, for them to be the same number is half of the sum they tell us, which means that 8/2 = 4, then the quotient is 4 and the divisor is 4 too, and the dividend 4 * 4 = 16
The division would be:
16/4 = 4
Thus fulfilling the premise of the problem.
50 points and brainleist
A value of 500 increases by 12%. -Which equation could be used to find the new value? A) y=500+(0.12)
B) y=500(1.12)
C) y=500+(0.12)
D) y=500-(0.12) - What is the new value? Answer:Equation_______could be used to find the new value. The new value is______.
Solution:
Given that,
A value of 500 increases by 12%
To find: equation could be used to find the new value
Therefore,
Initial value = 500
Increase rate = 12 %
Let "y" be the new value
Thus the equation is:
new value = Initial value + 12 % of Initial value
[tex]y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)[/tex]
Thus the equation is found. Option B is correct
Solve it
[tex]y = 500 \times 1.12\\\\y = 560[/tex]
Thus the new value is 560
Answer:
Hat he said
Step-by-step explanation:
what is 2+4 in the world today
Answer:
i guess it is 6? maybe
Step-by-step explanation:
Answer: I WOULD SAY 24 BUT FOR SOME REASON IT IS 6
Step-by-step explanation:
Round 562 to the nearest ten
Answer:
560
Step-by-step explanation:
Answer: 560
Since it did not hit 565 it is 560.
What is the answer to $2.48 for 10 slices of cheese
Answer:
2.48 / 10 = 0.248
About $0.25 for each slice of cheese.
Answer:
.248 or .25
Step-by-step explanation:
An equiangular triangle can be scalene
Answer:
No, as a scalene triangle's sides are are different, while an equilateral's sides are all the same.
Hope that helps, :)
What is the equation of a line that passes through the points (-3, 4) and (2, 8)?
Answer:
y= 4/5x +2/5
Step-by-step explanation:
When finding slope, use the format y-y1/x-x1. Plug in your coordinates to get this: 8-4/2--3. 8-4 equals 4, and 2--3 equals 5. So, your slope would be 4/5. Next, make your equation like this: y=4/5x+b. Next, plug in one of your ordered pairs into the equation. It doesn't matter which one you use. I'm going to use the second pair, so it would look like this: 8=4/5(2)+b. Multiply 4/5 by 2 to get 8/5. This is what you should have: 2=8/5+b. Subtract 8/5 from both sides to get your y-intercept of 2/5. Go back to your original equation and plug in 2/5 to b. This is your final equation: y= 4/5x +2/5. Hope this helped!
What does x equal in 3(x-2)=-3
Answer:
Step-by-step explanation:
3(x-2)= -3
Divide both sides by 3
x-2 = -1
add 2 to both sides
x - 2 +2 = -1 + 2
x = 1
Answer: x = 1
Step-by-step explanation:
3(x-2) = -3
3x -6 = -3
+6 +6
3x = 3
----------
3 3
x = 1
the actual length of a rectangular platform used for assembeling robots is 6 feet. in amal's drawing, the platform measures 1.2 inches in legnth and 1 inch in width. what is the actual width of the platform? write a proportion to justify your answer.
Answer:
Actual width = 5 feet.
Step-by-step explanation:
The ratio of 1.2 to 1 equals the ratio of length to width.
1.2 / 1 = 6 / w where w is the actual width.
1.2w = 6
w = 6/1.2
w = 5.
Which of the following tables represents a function?
Answer:
Table D represents the function.
Step-by-step explanation:
Because for every value of x, there is an unique value of y.
Answer:
D
Step-by-step explanation:
the answer is d because the x doesn't repeat itself and for a -7 repeats it self, for b -8 repeats and for c -6 has 2 times. That's why those 3 can not be answer.
In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
Answer: its = to 6 cuz AB/AC = BC/AE and BC is 6 so give brainless psl
Step-by-step explanation:
ez ezz
The value of x in the right-angle triangle is 2√3.
What is a right-angle triangle?A triangle is also known as a right-angled triangle if one of its three angles is 90 degrees. A right-angled triangle's three interior angles all add-up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.
In the given figure,
BC = 6cm
DC = 6/2 = 3cm
By formula of angle on a straight line,
∠EDB = 180° - (90°+60°)
= 180° - 150°
= 30°.
From right-angled triangle ADC,
AD² = 5² -3² (As per Pythagoras theorem)
= 25 - 9
= 16.
So, AD = √16
= 4cm.
From ∠AEC. let AS = x.
w/Sin60° = 4/Sin90°
We know,
Sin90° = 1
Sin60° = √3/2
⇒ x = (4 × Sin60°)/Sin90°
⇒ x = 4 × √3/2
⇒ x = 2√3
To know more about right-angled triangles, visit:
https://brainly.com/question/3770177
#SPJ1
The complete question is:
In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths place
Answer:
volume = 150.9m³
Step-by-step explanation:
in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h
v = πr²h
given that
height = 3meters
radius = 4meters
volume=?
going by the formulae v= πr²h
v = π × (4)² × 3
v = π × 16 ×3
v= 48πm³
note the value of π = 22/7
v = 48 × 22/7
v = 1056/7
v= 150.87m³
therefore the volume of the cylinder to the nearest tenth place is 150.9m³
Find the area of the ring-the shaded region
The area of the (ring) - the shaded region is 75.36 in²
Solution:
The value of π = 3.14
Radius of the inner circle = 5 in
Area of the inner circle = πr²
= π × 5²
Area of the inner circle = 25π
Radius of the outer circle = (5 + 2) = 7 in
Area of the outer circle = πr²
= π × 7²
Area of the outer circle = 49π
Area of the shaded ring = Area of the outer circle – Area of the inner circle
= 49π – 25π
= 24π
= 24 × 3.14
= 75.36 in²
The area of the (ring) - the shaded region is 75.36 in².
Write the coordinate of the point in the diagram.
Answer:
(2, 2, 1)
Step-by-step explanation:
You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)
The diameter is { ? }
cm.
r = 5.4 cm
The circumference in terms of pi { ? } is
cm.
Using 3.14 for pi , the approximate circumference of the
circle is { ? } cm. Find the answers for the “?”’s .
The diameter of the circle is 10.8 cm
The circumference of the circle is 33.9 cm
Explanation:
Given that the radius of the circle is 5.4 cm
Diameter:
The diameter of the circle can be determined using the formula,
[tex]d=2r[/tex]
where r = 5.4
Thus, we have,
[tex]d=2(5.4)=10.8[/tex]
Thus, the diameter of the circle is 10.8 cm
Circumference:
The circumference of the circle can be determined using the formula,
[tex]C=2\pi r[/tex]
Substituting [tex]\pi=3.14[/tex] and [tex]r=5.4[/tex], we have,
[tex]C=2(3.14)(5.4)[/tex]
[tex]C=33.9[/tex]
Thus, the circumference of the circle is 33.9 cm
The points (–1,–1) and (a,–5) fall on a line with a slope of 4. What is the value of a?
a=
Answer:
The value of a is -2
Step-by-step explanation:
We are asked to give the value of a
We are provided with some information
We are given slope to be 4
And two points ( -1 ,-1) and
( a, -5)
Given the formula for slope
m = y_2 - y_1 / x_2 - x_1
Points ( -1 , -1)
(a, -5)
x_1 = -1
y_1 = -1
x_2 = a
y_2 = -5
Inserting the values given into
m = y_2 - y_1 / x_2 - x_1
= -5 - (-1) / a - (-1)
= -5 + 1 / a + 1
= -4 / a + 1
We are given the slope to be 4
i. e. m = 4
4 = -4 / a + 1
Cross multiply
4( a + 1) = -4
Open the bracket with 4
4a + 4 = -4
Collect like terms
4a = -4 - 4
4a = - 8
Divide both sides by 4 to get the value of a
4a / 4 = -8/4
a = -2
Therefore, x_2 = -2
the value of a = -2
A = 3 b = 4 c=4
1) 3a + 5=
2)4b - 7=
3)6a - 1 =
4) bc -a=
Answer:
1.) 3(3) + 5 = 9 + 5 = 14
2.) 4(4) - 7 = 16 - 7 = 9
3.) 6(3) - 1 = 18 - 1 = 17
4.) (4)(4) - (3) = 16 - 3 = 13
-3(n-6)-9 i need to simplify the expression.
State the slope and the y-intercept of this equation: y = -4x - 9
Answer:
slope = - 4, y- intercept = - 9
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 )
y = - 4x - 9 ← is in slope- intercept form
with slope m = - 4 and y- intercept c = - 9
Willie had some candy to give to his five
children. He first took nine pieces for
himself and then evenly divided the rest
among his children. Each child received
three pieces. With how many pieces did
he start?
Answer he had 24 pieces
Step-by-step explanation: 5 children had 3 each 5 x 3 = 15
and 9 for him self 15+9=24
Complete the table. Original Price Percent of Discount Sale Price $42 15% $
Answer:
35.70
Step-by-step explanation:
42. x 15%=6.30
42-6.30 is 35.70
or you can multiply 42 x 85=35.70
Answer:
$35.70
Step-by-step explanation:
$35.70
Plz help in ASAP I need it I will give you BRAINLEIST whatevrr it is called
Answer:
1.)x≤9
2.)x≥0.5
Step-by-step explanation:
1.)x+6≤15
x+6-6≤15-6
x≤9
2.)x+1.5≥2
x+1.5-1.5≥2-1.5
x≥0.5
pens cost x pence and pencils cost y pence. Write a formula for the total cost (T) of 7 pens and 11 pencils
Answer:
erhaerah
Step-by-step explanation:
hearherharehr
12. Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite season?
i believe the answer is 205
hope this helps
The most reasonable prediction of the number of seventh-grade students in Judith's school who would choose pop music as their favorite genre is 205.
To find the prediction, we first need to determine the total number of seventh-grade students in Judith's school. Since 41 students represent 20% of the total, we can set up a proportion to find the total number of students. Let [tex]\( T \)[/tex] represent the total number of students.
[tex]\[ 20\% \times T = 41 \][/tex]
[tex]\[ 0.20 \times T = 41 \][/tex]
To find [tex]\( T \)[/tex], we divide both sides of the equation by 0.20:
[tex]\[ T = \frac{41}{0.20} \][/tex]
[tex]\[ T = 205 \][/tex]
Now that we have the total number of students, we can predict the number of students who would choose pop music as their favorite genre. Since 41 students represent 20% who chose pop music, the remaining 80% of the students would also be expected to choose pop music if the sample is representative of the entire population. Therefore, we multiply the total number of students by 100% to find the prediction:
[tex]\[ \text{Prediction} = T \times 100\% \][/tex]
[tex]\[ \text{Prediction} = 205 \times 1 \][/tex]
[tex]\[ \text{Prediction} = 205 \][/tex]
Thus, the most reasonable prediction is that 205 seventh-grade students in Judith's school would choose pop music as their favorite genre.
how many 9s are in 54??
Answer:
Whats 's' mean?
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
9s=54
divdie 9 by 54 to get the s alone. 54/9 is 6. t
A parallelogram gas an area of 4 feet squared and a base length of 8 in. What is the height of the parellelogram
Answer:
0.5
Step-by-step explanation:
The formula for area of a parallelogram is b × h, so we can use this to find the missing value.
b × h = a
8 × h = 4
÷ 8 ÷ 8
h = 0.5
To check:
8 × 0.5 = 4, which is correct.
Your real answer is
16
10
160
got it right on edg.
The cost of 3 gallons of milk is $6.75. What is the cost of 7 gallons of milk?
Answer:
1. The cost of 7 gallons of milk is $15.75
2. 5 cups served and 40 ounces drank
Step-by-step explanation:
Answer:
$15.75
Step-by-step explanation:
Let the cost of 7 gallons of milk be x
Since
3 gallons of milk = $6.75
7 gallons of milk = x
Cross multiply
7 x 6.75 = 3 x X
47.25 = 3x
Divide both sides by 3
47.25/3 = 3x/3
15.75 = x
x = $15.75
7 gallons of milk cost $15.75
What is the equation of the circle with center (11, 6) that passes through the point (17, 12)?
well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72[/tex]
Final answer:
The equation of the circle with center (11, 6) that passes through the point (17, 12) is (x - 11)² + (y - 6)² = 72.
Explanation:
To find the equation of the circle with center (11, 6) that passes through the point (17, 12), we first determine the radius of the circle. The radius can be found by calculating the distance between the two points using the distance formula: √[(x2-x1)² + (y2-y1)²]. Plugging in the coordinates, we get √[(17-11)² + (12-6)²] = √[6² + 6²] = √[36 + 36] = √72. The squared radius (r²) is therefore 72.
The general form for the equation of a circle is: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. Substituting the center (11, 6) and the squared radius 72 into this equation, we get: (x - 11)² + (y - 6)² = 72, which is the desired equation of the circle.
Angle a and angle b are complementary angles. The measure of ∠a is 42°.
Which equation represents this situation with x representing the measure of ∠b ?
A) 90+42=x
B) 42+x=90
C) 42−x=90
D) 90+x=42
Answer: B) 42 + x = 90
Step-by-step explanation:
A complementary angle always equals 90 degrees. So, with that information, all you have to do is list the measurement of b as x and create an equation. Knowing that the measurement of angle a is 42 degrees, we can now find an equation. So, we would take the measurement of angle a, 42 degrees, and add the measurement of angle b, listed as x, which should equal 90 degrees.
A line that includes the points (10,g) and (9,4) has a slope of 2. What is the value of g?
g=
Answer:
g = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)
m = [tex]\frac{4-g}{9-10}[/tex] = [tex]\frac{4-g}{-1}[/tex] = 2 ( multiply both sides by - 1 )
4 - g = - 2 ( subtract 4 from both sides )
- g = - 6 ( multiply both sides by - 1 )
g = 6