Find the volume of a sphere with a diameter of 16 cm using the formula Volume = [tex]\dfrac{4}{3}[/tex] × π × r³.
❍ Explanation -:In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.
First we will find the radius of the sphere
We know,
[tex] ✭ \: \small\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}[/tex]
Substituting the values we get
[tex] \small\sf{ Radius = \dfrac{ \cancel{16} \: \: 8}{ \cancel{2}}}[/tex]
[tex] \star \: \small\rm{ Radius = 8 \: cm}[/tex]
Now we will calculate the volume of the sphere
We know,
[tex] ✭ \: \small \boxed{{\rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{4}{3} × 3.14 × 8³}[/tex]
[tex]\small\rm{ Volume_{(sphere)} = \dfrac{ \cancel{4}}{3} × 3.14 × 8 \times 8 \times \cancel{ 8 } \: \: 2}[/tex]
[tex] \small\rm {V olume_{(sphere)} = \dfrac{3.14 × 64}{3}}[/tex]
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{200.96}{3} =66.98 \: {cm}^{3} }[/tex]
Hence the volume of the sphere is 66.98 cm³.
[tex] \underline{\rule{71mm}{4pt}}[/tex]
can someone help me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Since, the Area of smaller rectangle is 35,
width = 5 ftLet's calculate it's length ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:35 = l \cdot5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 35 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 7 \: ft[/tex]
And the two rectangles are similar ~ so the ratio of their sides are equal as well ~
Assume length of greater rectangle be x
[tex]\qquad \sf \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 35[/tex]
Now, since the length and width of the greater rectangle is known, let's find it's Area ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 35 \sdot25[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]
So, Area of the greater rectangle is 875 ft²
FIND BA Just Need the answer tbh
Step-by-step explanation:
some might be wrong..if u can..try to cross check it..
find the area of parallelogram whose height is 6 cm and base 5 cm
A parallelogram is a type of quadrilateral(four sides polygon) that has both the pair of opposite sides parallel and equal.
Area of a parallelogram = height× base
from the question,
height= 6cm
base= 5cm
area= 6×5= 30cm^2
pls help asap The scatter diagram shows the grades and number of missing assignments for students in a grade 8 math class
I was confused on how to write the quadratic in standard form
[tex]\\~~~~~3x^2 +4x +7 = -1\\\\\implies 3x^2 +4x +7 +1 = 0\\\\\implies 3x^2 +4x +8 = 0\\\\\text{It is now in the standard form of quadratic equation}~( ax^2 +bx +c = 0)\\[/tex]
how to do a reflection on the line y=-x
change (x,y) -> (-y,-x)
Amaya travels from her home to Stoke
the distance from her home to stoke is 150 miles she travels at an average speed of 50 miles per hour
she stops for 20 minutes on the journey
amaya arrives in stoke at 11:15am
what time did she leave home?
Answer:
She left at 7:55
Step-by-step explanation:
She travels 150 miles at 50 miles an hour, it takes her 3 hours to get to stoke but she stopped for 20 minutes. Subtract 20 minutes from 11:15, and you get 10:55, then subtract 3 hours. You get 7:55. This means she left the house at 7:55.
please help. Trying to find the missing measure. Explanations needed
Answer:
l=5.1in
r=2.4in
Step-by-step explanation:
size increase of 50% so just add (+50%) to both existing values
please need help with this question
8 × 6 = 8 × (5 + 1)
… = (8 × 5) + (8 × 1)
… = 40 + 8
… = 48
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. how long is the dart in the air? round to the nearest tenth. 0.7 seconds 0.8 seconds 1.5 seconds 1.6 seconds
Based on the height the yard dart is thrown from, the inital velocity, and the elevation angle, the length of time the dart is in the air is 1.6 seconds.
What amount of time did the dart spend in the air?This can be solved using a projectile motion calculator which can show you the velocity of the dart and the time it spent in the air.
Plugging in the given values above, we find that the yard dart spent a total of:
= 1.6 seconds in the air
In conclusion, option D is correct.
Find out more on projectile motion at https://brainly.com/question/24216590.
#SPJ4
Which chip design has a greater probability of selection than what the actual results show after the 10 draws?
stripe
dot
star
heart
Answer:
the stripe chip design has
the greatest probability of selection
Step-by-step explanation:
p(draw a dot chip) = 1/10
p(draw a star chip) = 2/10
p(draw a heart chip) = 3/10
p(draw a stripe chip) = 4/10
4/10 > 3/10 > 2/10 > 1/10
Therefore , the stripe chip design has
the greatest probability of selection.
What is 9x8-7+4x10-2x7
Answer:
91
Step-by-step explanation:
9x8-7+4x10-2x7
72-7 + 40- 2x7
72 - 7 + 40 - 14
65 + 40 - 14
105 - 14
= 91
Х
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
[tex]\large \sf \underline{Answer:}[/tex]
Rectangle has four sides. The total weight of the circle is 20 grams.
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
What is a rectangle?
A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.
As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,
[tex]Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams[/tex]
It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,
[tex]Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle
[/tex]
[tex]Weight \: of \: the \: circle = 20 grams[/tex]
Hence, the total weight of the circle is 20 grams.
Learn more about Rectangle:
https://brainly.com/question/994316
====================================
Hence the weight of the circle is 20 grams.
Answer:
Solution Given:
Weight of rectangle =80grams
we know that
twice the weight of triangle =weight of rectangle
2*weight of triangle =80 grams
weight of the triangle = 80/2=40 grams
again
The weight of the triangle is double the weight of the
circle.
weight of the circle=½*weight of triangle
=½*40=20grams
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.
What is the definition of probability?It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.
Given data;
Total outcomes rolling a pair of dice =6×6=36
Probability obtaining the total of 12 is;
P(A) = 1/36
P(A) = 1/36
P(A) = 1/36
Probability of obtaining the total is less than 5:
P(B)=6/36
the probability of rolling the sum of 12 OR less than 5 is calculated as;
P(sum of 12 OR 5) = 1/36 + 6/36
P= 7/36
Hence,the probability P (sum of 12 OR 5) is 7/36.
To learn more about the probability, refer to the link;
https://brainly.com/question/795909
#SPJ1
Estimate the weight of the chips in the bag.
Answer:
Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2
Step-by-step explanation:
um just round
P.S. Iready sucks
Answer:
Kale ; 1(oz)
Carrots; 4(oz)
Sweet Potatoes; 4(oz)
Beets; 2(oz)
Step-by-step explanation:
When rounding anything that is equal to or greater than 5 rounds up, anything that is less than 5 rounds down.Round to the nearest whole ounceVegetable | Weight(oz)Kale \ 1.35 ⇒ 1(oz)
Carrots \ 3.50 ⇒ 4(oz)
Sweet potatoes \ 3.81 ⇒ 4(oz)
Beets \ 2.29 ⇒ 2(oz)
It took the computer 120 days to break the code. How many
hours did it take?
Hi Student!
Looking at the question we can see that we are given a number which is 120 days. The question is asking for us to convert the amount of days it took to break the code into hours. We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day. The days would cancel and that would result us with just hours left.
[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]
[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]
[tex]\frac{2880\ hours}{1}[/tex]
[tex]2880\ hours[/tex]
Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.
The two polygons are similar.
1. Find X
2. Find Y
Answer:
x=11
y=9
Step-by-step explanation:
place both and solve for x and y.
Which solution set is graft on the number line
Answer:
x < 1
Step-by-step explanation:
an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then
x < 1 (thats a less then sign only) ....no equal sign in there
Answer:
x < 1
Step-by-step explanation:
Open circle: < or >
Closed circle: ≤ or ≥
Shading to the left: < or ≤
Shading to the right: > or ≥
Therefore, as there is an open circle and shading to the left:
x < 1
(x is smaller than 1)
-5(y+.2)=25 what is y? PLEASE SOLVE ASAP
-5(y+2)=25
y+2=25 ÷(-5)
y+2= -5
y= -5-2
y=7
9000 dollars is placed in an account with an annual interest rate of 8% how much will be in the account after 17 years to the nearest cent
What is the minimum or maximum value of the given function
Answer:
It has a minimum of -3 and a unkown maximum
Step-by-step explanation:
#89 will give brainliest for best answer!
Answer:
Median: 11
Range: 12
25th Percentile: 9
75th Percentile: 14
Interquartile Range: 5
Step-by-step explanation:
The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.
Hope this helps! :)
John paid $34 for two algebra and three geometry books. he paid $36 for three algebra and two geometry
Answer:
Each geometry book costs $6, each algebra book costs $8.
Let a=cost of one algebra book and g=cost of one geometry book. We have:
2a + 3g = 34-------->6a + 9g = 102
3a + 2g = 36-------->6a + 4g = 72
-------------------
5g = 30
g = 6
2a + 3(6) = 34
2a + 18 = 34
2a = 16--->a = 8
Question: John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?
Answer: The cost of each algebra book is $8 and the cost of each geometry book is $6.
Step-by-step explanation:
a= algebra book cost
g= geometry book cost
Here's what we know:
2a + 3g = 34 (the 2 alg and 3 geo comes to $34)
3a + 2g = 36 (the 3 alg and 2 geo comes to $36)
This is a classic elimination method problem. I suggest that we multiply the first equation by -2 and the second by 3. This way, we can eliminate the variable g and still keep the other parts of the problem in the positive range:
-4a - 6g = -68
9a + 6g = 108
-------------------
5a = 40
Divide by 5:
a = 8
Now to solve for g:
2 * 8 + 3g = 34
16 + 3g = 34
3g = 18
g = 6
check (by using the second equation):
3 * 8 + 2 * 6 = 36
24 + 12 = 36
In a circle with radius 4, what's the
area of a sector with a central
angle that measures 132 degrees?
Answer:
18.43 units
Step-by-step explanation:
132/360 cause 360 degrees in circle
π4^r=area of totoal
16π= area
16π*132/360=18.4306769011
Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00.She budgets $25.50 per month for her total cell phone expenses without taxes.
What's the maximum number of minutes Paige could use her phone each month and still stay within her budget?
A. 675
B.425
C. 250
D.175
Ac and db are chords that intersect at point h. a circle is shown. chords a c and d b intersect at point h. the length of a h is 20 minus x, the length of h b is 12 minus x, the length of d h is x 4, and the length of h c is x. what is the length of line segment db? 4 units 8 units 16 units 20 units
The chords ac and db are intersecting chords, and the length of line segment db is 16 units
How to determine the length of segment db?The given parameters are:
ah = 20 - x
hb = 12 - x
dh = x + 4
hc = x
Start by calculating the value of x using the following intersection chord equation
ah * hc = dh * hb
So, we have:
(20 - x) * x = (x + 4) * (12 - x)
Solve for x
x = 4
The length of segment db is calculated using:
db = dh + hb
So, we have:
db = x + 4 + 12 - x
Substitute 4 for x
db = 4 + 4 + 12 - 4
Evaluate
db = 16
Hence, the length of line segment db is 16 units
Read more about intersecting chords at:
https://brainly.com/question/13950364
#SPJ4
Answer:
c
Step-by-step explanation:
What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters
Answer:
15cm
Step-by-step explanation:
150 meters are too long since 1 meter is about one big step.
15 meters would also be too long.
150 centimeters is the same as 1.5 meters, which is also too long.
The factors of 52 and the first three factors of 130 are listed in the table below. Fill in the remaining five factors of 130 and then identify the greatest common factor, or GCF, of 52 and 130.
Type the multiples in the increasing order.
130: 1, 2, 5,
GCF of 52 and 130:
Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
GCF of 52 and 130 is 26
I found a similar question here so that's what I can only tell you. I hope it will help you.
Solve for the value of x -
[tex]5(4x-4)=-60[/tex]
Thanks! ^^
Answer:
x = -2
Step-by-step explanation:
[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]
hope this helped!!
Answer:
x = -2
Step-by-step explanation:
Divide both sides by 5 :
5/5 (4x - 4) = -60/54x - 4 = -12Add 4 to both sides :
4x - 4 + 4 = -12 + 44x = -8Divide both sides by 4 :
4x/4 = -8/4x = -2On a piece of paper graph f(x) = 3x if x<3 2x if x>3 then determine which answer choice matches the graph you drew
It's a combine function (Alike signum function)
Which is given by
[tex]\\ \rm\Rrightarrow f(x)=\begin{cases}\sf 3x,x<3\\ \sf 2x,x>3\end{cases}[/tex]
Find some points
(0,0)(1,3)(4,8)(2,6)Graph attached
Red line is 2x and blue one is 3x