Answer:
267.95 cm³ (nearest hundredth)
Step-by-step explanation:
Formulae
[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}[/tex]
[tex]\textsf{Diameter of a circle}=\sf 2r\quad\textsf{(where r is the radius)}[/tex]
Given:
diameter = 8 cm[tex]\pi[/tex] = 3.14⇒ radius = 8 ÷ 2 = 4cm
[tex]\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac43 \cdot 3.14 \cdot 4^3\\ & = \sf 267.95\:cm^3\:(nearest\:hundredth)\end{aligned}[/tex]
Answer:
267.95 cm³
Step-by-step explanation:
Volume of a sphere
4/3πr³Here, diameter = 8 cm.
But, diameter = 2 x radius
Therefore, radius = 4 cm.
Solving
V = 4/3 x 3.14 x (4)³V = 4/3 x 3.14 x 64V = 4/3 x 200.96V = 267.95 cm³-13)
1) Look for any properties used in each equation. Choose ALL equations that correctly apply properties of operations.
A) 5(3 + b) = 8 + 3b
B) 3(4 + x) = 12 + 3x
+
C) 20a + 12b = 4(5a + 3b)
D) y+ y + y = y
E) 9+9+9+9=49
A) no property
B) distributive property of multiplication
C) no property
D) no property
E) no property
Step-by-step explanation:A) [tex]Identify\ the\ property\ used:[/tex][tex]\downarrow[/tex]
[tex]no\ property[/tex]
____________________________________
B) [tex]Identify\ the\ property\ used:[/tex][tex]\downarrow[/tex]
[tex]distributive\ property\ of\ multiplication[/tex]
____________________________________
C) [tex]Identify\ the\ property\ used:[/tex][tex]\downarrow[/tex]
[tex]no\ property[/tex]
____________________________________
D) [tex]Identify\ the\ property\ used:[/tex][tex]\downarrow[/tex]
[tex]no\ property[/tex]
____________________________________
E) [tex]Identify\ the\ property\ used:[/tex][tex]\downarrow[/tex]
[tex]no\ property[/tex]
I hope this helps you
:)
Answer:
D and E
Step-by-step explanation:
i took the quiz on usa test prep
Round 987 to 2 significant figure
987
to find:2 sf of 987
solution:( to find 2sf just round of if the previous digit is 5 or more)
2 sf= 990
Answer:
990
Step-by-step explanation:
I need this answered please
Answer:
Step-by-step explanation:
In rectangle EFGH, the length of EF is 12 units and the length of FG is 5 units. The rectangle is translated 6 units to the right and 4 units down to produce rectangle WXYZ. What is the length of YZ ?
Answer: 12
Step-by-step explanation:
Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).
Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)
Hence, YZ=12.
Can somebody help me please?
Answer:
it's a that's the answer
Given the equation , then m =
Answer:
v=3,m=2
Step-by-step explanation:
You can find the complete solution in given attachment
I hope it helped you
How do you solve this?
Answer: a= -18
b= -28 inches c=30 pounds
Step-by-step explanation:
If instead of randomly selecting two people there were five, what is the probability that all five are right-handed
Answer:
1/32
Step-by-step explanation:
We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.
1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32
Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.
I hope this helps and please mark me as brainliest!
Find the range from the following date 50,75,65,35,85,55,95,70,25,45
Answer:
range: 70
Step-by-step explanation:
range is the difference between the highest and lowest values.
The process of grouping and assigning values to various responses from the survey instrument is called
The term used to describe the process of assigning values to responses in a research instrument and grouping them is called: coding.
What is Coding in Research Analysis?In data analysis, before raw data can be processed, the researcher groups and assigns values to each response in the research instrument for easy collation and analysis.
This is referred to as coding, in research analysis.
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HELP PLEASE ASAP 30 POINTS
Write the equation of the graph.
ANSWERS;
A. y+3=-1/2(x-1)
B. y-3=-1/2(x+1)
C. y=1/2x+5
D. y-3=1/2(x+1)
Last week, Ken ran 10 laps around the lake. Heather ran 2/3 as many laps around the lake as Ken did. How many laps around the lake did Heather run? Write your answer as a fraction or as a whole or mixed number
The number of laps around the lake did Heather run last week when the Ken ran 10 laps around the lake is 20/3.
What is the fraction number?Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Last week, Ken ran 10 laps around the lake. Heather ran 2/3 as many laps around the lake as Ken did. Thus, the number of laps heather ran is,
[tex]x=\dfrac{2}{3}\times10\\x=\dfrac{20}{3}[/tex]
Hence, the number of laps around the lake did Heather run last week when the Ken ran 10 laps around the lake is 20/3.
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Stephanie has a homeowners insurance policy for her $355,000 home with an annual premium of $0.42 per $100 of value and a deductible of $500. under this policy, in the event of a major mishap, stephanie would have a total annual out-of-pocket expense of left-bracket (355,000 dollars divided by 100) times 42 cents right-bracket 500 dollars = 1,991 dollars. stephanie would like to lower her premium by increasing her deductible. if stephanie wants to increase her deductible to $1000, what annual premium would result in an annual out-of-pocket expense that is about the same as her current plan? a. $0.16 per $100 of value b. $0.28 per $100 of value c. $0.35 per $100 of value d. $0.46 per $100 of value
The annual premium result in an annual out-of-pocket expense that is about the same as her current plan is $0.28 per $100 of value.
What is an insurance premium?Insurance premiums are paid for policies that cover all the basic needs such as healthcare, home, and life insurance.
We are given Amount of insurance policy for Stephanie = $ 355,000
Annual premium = $ 0.42 per $100
Deductible amount = $ 500
Total Annual out of pocket expense
= [($355,000/100) x $0.42] + $500
= $1,991
Now, the New Deductible amount that Stephanie wants is $ 1000
So, Let the annual premium be x
To find the annual premium in an annual out-of-pocket expense that is about the same as her current plan when the deductible amount increases to $1000
355,000x / 100 + 1000 = 1991
3550x + 1000 = 1991
3550x = 1991 - 1000
3550x = 991
x = 991/3550
x = 0.279≈0.28
Hence the annual premium result in an annual out-of-pocket expense that is about the same as her current plan is $0.28 per $100 of value.
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A geometric sequence can be used to describe the population of rabbits on a
farm. The first spring, the farmer purchased 8 rabbits. Five years later, there are
648 rabbits at the farm. Assuming that none of the rabbits leave the farm, how
many rabbits were on the farm in year 3?
Answer:
step 1
Find the average growth per year of the populations of rabbits farm A
Over the first 2 years
for t=0
numbers of rabbits=5 (is not exact)
for t=2
numbers of rabbits=40
average=[40-5]/2---------> 17.5
step 2
Find the average growth per year of the populations of rabbits farm B
Over the first 2 years
for t=0
numbers of rabbits=5 (is not exact)
for t=2
numbers of rabbits=30
average=[30-5]/2---------> 12.5
step 3
Compare the average growth per year of the populations of rabbits on both farms
farm A=17.5
farm B=12.5
the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 5 rabbits per year.
therefore
the answer is the option C)
the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 6 rabbits per year.
Step-by-step explanation:
Find the missing side. Round to the nearest tenth
Answer:
x=11.1
Step-by-step explanation:
we can use the sine function: (opposite/hypotenuse)
sin(46)=8/x
x=8/(sin46)
11.1
Sale! 50% OFF of the original price! Zane buys a suitcase during the sale. If the original price was $60, how much does Zane pay?
Answer:
$30
Step-by-step explanation:
if something is 50% off that is the same as saying half off.
so you simply do 60 divided by 2 and you get 30
Answer:
$30
Step-by-step explanation:
You get this anaswer by multiplying 60 (the cost of the suitcase) by 0.50 (50 percent as a decimal) and get 30 then subtract 30 by 30 to get the total cost.
A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.
Drawing Actual
Perimeter:__in. Perimeter:__mm
Area:__inches^2 Area:__mm^2
Answer:
See below
Step-by-step explanation:
Square objects have four sides of equal length
so the perimeter of the drawing will be 4 * 2.5 = 10 inches
area of drawing = 2.5 x 2.5 = 6.25 in^2
the actual object will have side lengths
2.5 in / 1 inch/ 5mm = 12.5 mm
four sides each 12. 5 mm = 50 mm
area of object = 12.5 x 12.5 = 156.25 mm^2
need help asappp !!!!
Answer:
80 degrees
Step-by-step explanation:
The three angles of the triangle must sum to 180 degrees
70 + 30 + x = 180
x = 180 -70-30 = 80
what number should be added to both sides in order to solve x^2 -8x=0
Answer:
16
Step-by-step explanation:
x^2 -8x=0
rewrite in this form and add 16 to both sides:
x² + 2(- 4)x + 16 = 0 + 16
(x - 4)² = 16 ( take square root of both sides )
x - 4 = ± 4
x = 4 ± 4
x=8 , x= 0
Find the answers to the picture
(triangle) ASAP
Answer:
measure of angle C = 18°
c = 2.47
a = 7.61
Step-by-step explanation:
Make sure your calculator is in degree mode.
Angle A measures 72°, so angle C measures 18° (Angles A and C are complementary angles, so their sum is 90°).
[tex] \sin(18) = \frac{c}{8} [/tex]
[tex]c = 8 \sin(18) = 2.47[/tex]
[tex]a = 8 \cos(18) = 7.61[/tex]
What is the answer to x-5y=30 so I can graph it?
Answer:
x + 5y = 30
x + 5(0) = 30
x1 = 30 y1 = 0
x + 5y = 30
1(0) + 5y = 30
y2 = 6 x2 = 0
(x1,y1) and (x2,y2)
(30,0) and (0,6)
Step-by-step explanation:
Solve for x
4x-16 2x+16
Answer:
The value of x is equal to 30.
Step-by-step explanation:
Let's define what are 2 equations are:
Since we are dealing with a straight line, the line's angle will always equal 180°.
Since the 2 angles must add up to 180°, then they must be supplementary angles.
We can set up our equation to solve for x:
4x - 16 + 2x + 16 = 180This equation states that the 2 angles, given in formulas, must be equal to the angle of the line.
We can now solve this equation and get a value of x:
Define:∴ we have found the value of x to be equal to 30.
Hope this helps!
If the line that passes through the points below
5
has a slope of Find the value of k.
2
(-2, k) and (6. - 11)
Answer:
the value of k is 27.
Step-by-step explanation:
find by using formula y2-y1/x2-x1
Hello I need Help with this question ASAP PLS.
Question: The cost of 6 Apples is $1.20. What is the cost of 4 apples? State units of your answer.
Pls Help me, I'm stuck :(
-- Biruh
Answer:
$0.80
Step-by-step explanation:
Find the unit rate
1 apple costs ?
1.20/6 = cost of 1 apple
1 apple = $0.20
4 apples = $0.20 * 4
4 apples = $0.80
An employee is starting a job with an annnual salary of $40,000. The employee's annual salary will increase by 3% at the end of each year with the company.
What will the employee's annual salary, in dollar, be at the end of the second year with the company?
Answer:
$ 42 436
Step-by-step explanation:
3% = .03
40 000 ( 1 + .03)^2 = 42436
A classroom board is 24 inches wide and 18 inches tall, Koda
is putting ribbon along the outside edge of the board. How
many inches of ribbon will he need?
18 inches
24 inches
Answer:
84 inches
Step-by-step explanation:
It is the perimeter.
Koda needs 84 inches of ribbon to put it around the edge of the board.
A classroom board is 24 inches wide and 18 inches tall, Koda s putting ribbon along the outside edge of the board.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
length = 24 inch
width = 18 inch
The perimeter of the board, = 2 {length + width]
= 2 [24 + 18]
= 84
Thus, Koda needs 84 inches of ribbon to put it around the edge of the board.
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The area of a triangle is 20 cm², and the
altitude is 4 cm greater than the base. Find
the length of the base, to the nearest
millimetre
Answer:
Heavenly, we need the forumula for the area of a triangle, do you know it?
Step-by-step explanation:
Area of a triangle is (1/2 ) * B*H
where B = base
H = height
then
A = 1/2* B * H
A is given to be 20
B = b
H = b+4
plug all those into the formula,
20 = (1/2)*b*(b+4)
use your algebra skillz :P
20 = 1/2 *( [tex]b^{2}[/tex] + 4b)
20*2 = [tex]b^{2}[/tex] + 4b
40 = [tex]b^{2}[/tex] + 4b
0 = [tex]b^{2}[/tex] + 4b-40
rewrite the above so it's in x format
[tex]x^{2}[/tex] + 4x -40 = 0
use the quadratic formula to find x , and for our problem, remember that x represents the base, or b, but don't mix it up with the b in the quadatic fomula, with the b of the triangle, which is the base, they are differnt "b"s :P
X = (b±[tex]\sqrt{b^{2}-4*a*c }[/tex] ) / 2*a
a = 1
b = 4
c = -40
x = (4±[tex]\sqrt{4^{2}-4*1*(-40) }[/tex] ) /2*1
x = ( 4±[tex]\sqrt{16+160}[/tex] ) / 2
x = (4±[tex]\sqrt{176}[/tex] ) / 2
x = (4±13.266499)/2
x= 2±6.633249
x = 2 + 6.633249 = 8.633
b= 8.633 cm
The quantity q varies inversely with the square of m and directly with the product of r and x. when m is 4 and the product of r and x is 8, q is 2.5. what is the constant of variation? five-eighths five-fourths 5 10
The proportionality shows the relation between two values. The value of the constant of variation is 5.
What is proportionality?The proportionality shows the relation between two values.
As given in the question the quantity q varies inversely with the square of m and directly with the product of r and x. Therefore, the proportionality can be written as,
[tex]q \propto \dfrac{rx}{m^2}[/tex]
Now to remove the proportionality add a constant to the equation which is the constant of variation.
[tex]q =k\dfrac{rx}{m^2}[/tex]
When m is 4 and the product of r and x is 8 then the value of q is 2.5. Therefore, the value of k can be written as,
[tex]q =k\dfrac{rx}{m^2}\\\\2.5 = k\dfrac{8}{4^2}\\\\\dfrac{2.5 \times 16}{8}=k\\\\k=5[/tex]
Thus, the value of the constant of variation is 5.
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What is a "closing balance?"
a.
The amount of
money you have at the end of the statement period
b.
C.
The amount of money you have when you close your account
d.
The amount of money you owe at the end of the statement period
The amount O1 money waiting
to be transferred out of your account
Please select the best answer from
the choices provided
Answer:
A. The amount of money you have at the end of the statement period
Step-by-step explanation:
A "closing balance" is the The amount of money you have at the end of the statement period
What is the missing angle
[tex]Answer ☘️[/tex]
★ Important points to know
[tex] {\boxed{ \bold{Exterior \: Angle \: Theorem : - }}}[/tex]
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.[tex] \pink{ ↪ \sf \angle \: C + \angle \: D = \angle \: B}[/tex]★ Let's solve :-
[tex] \sf ↪\angle \: 65 \degree + \angle \: 30 \degree =\angle \:B\\ \\ \sf ↪\angle \: 95 \degree = \angle \:B[/tex]
Hence option A 95⁰ is the right ans ✓
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]
To find :-
The angle ∠ABC = ?
Given :-
∠BCD = 65°
∠BDC = 30°
Solution :-
Firstly we have to find ∠CBD, with the help of ∠CBD, we will able to find ∠ABC.
To find ∠CBD, we will use angle sum formula
(=> The sum of angles of all 3 sides of triangle is equal to 180°).
∠CBD + ∠BCD + ∠BDC = 180° (angle sum property)
∠CBD + 65° + 30° = 180°
∠CBD + 95° = 180°
∠CBD = 180° - 95°
∠CBD = 85°
Now we have ∠CBD, and in the diagram ∠CBD and ∠ABD lies on the same line but it is seperated by line BC, it means they are linear pair and the sum of both angles (∠CBD and ∠ABC) is equal to 180°.
∠ABC + ∠CBD = 180° (linear pair)
∠ABC + 85° = 180°
∠ABC = 180° - 85°
∠ABC = 95°
Result :-
The ∠ABC is 95° by using the above method.
Choose the first option
(A) 95°