Answer:
Step-by-step explanation:
450,000=2/3(3.14)r
450,000 times 3/2=2/3(3.14)r times 3/2
675,000=3.14r
675,000/3.14=3.14r/3.14
about 214968.15287=r
So now we know r. We can use it to find the area of the circle
Pi times r squared
3.14 times 214968.15287 squared
area equals about 15573.44815
The area of the hemisphere is 45065.41
How to determine the area?The given parameters are:
Shape = Hemisphere
Volume = 450000
The volume is calculated as:
Volume = 2/3pi r^3
This gives
450,000=2/3 * 3.14 * r^3
Solve for r^3
r^3 = 450000 * 3/(2 * 3.14)
This gives
r^3 = 214968.152
Take the cube roots
r = 59.9
The area is then calculated as;
Area = 4pi r^2
This gives
Area = 4 * 3.14 * 59.9^2
Evaluate
Area = 45065.41
Hence, the area of the hemisphere is 45065.41
Read more about areas at:
https://brainly.com/question/24487155
Megan's morning run follows a triangular path. Two legs are equal and the third leg is 4 miles longer
han each of the other legs. If the total ride is 22 miles, what is the length of the longest leg?
Answer:56544
Step-by-step explanation:
Jacobo borrows 500 from Abraham and agrees to have the loan compounded
annually for 5 years with an interest rate of 2.5% How much will the total amount be that Jacob owes?
Answer: 565.70
Step-by-step explanation:
A student earned grades of 78, 72, 74, and 88 on her four regular tests. She earned a grade of 79 on the final exam and 88 on her class projects. Her combined homework grade was 89. The four regular
tests count for 40% of the final grade, the final exam counts for 20%, the project counts for 10%, and homework counts for 30% What is her weighted mean grade? Round to one decimal place.
O A. 82.5
OB. 71.0
O C. 63.6
OD. 81.5
Answer:
A: 82.5
Step-by-step explanation:
Average score of the 4 regular tests = (78 + 72 + 74 + 88)/4 = 78
We are told;
- the regular tests account for 40% of the final grade.
- final exam counts for 20%
- project counts for 10%
- homework counts for 30%
Thus;
weighted mean grade = (40% × 78) + (20% × 79) + (10% × 88) + (30% × 89) = 82.5
Find the linear equation whose graph is the straight line with the given properties through ( 1,-8) and (-1,-1)
The equation of a line for the given coordinates is 7x+2y+9=0.
The given coordinates are (1, -8) and (-1, -1).
We need to find the linear equation whose graph is a straight line.
What is the slope of a line?The slope of a line is defined as the change in the y coordinate with respect to the change in the x coordinate of that line. The slope of a line=m=(y2-y1)/(x2-x1).
Now, slope of the line=(-1-(-8))/(-1-2)
=7/(-2)
=-7/2
Now, put m=-7/2 and (-1, -1) in the equation y=mx+c.
So, -1=(-7/2)(-1)+c
⇒-1-7/2=c
⇒c=-9/2
Then the equation of the line=y=-7x/2-9/2
⇒2y=-7x-9
⇒7x+2y+9=0
Therefore, the equation of a line for the given coordinates is 7x+2y+9=0.
To learn more about the slope visit:
https://brainly.com/question/2491620.
#SPJ2
What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline minus 7 squared) written as a single logarithm?
log Subscript 3 Baseline 2 z
log Subscript 3 Baseline 2 z squared
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction
Answer:
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
Step-by-step explanation:
The single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]
Logarithm and indicesGiven the logarithmic expression;
[tex]2(log_38+log_3z)-log_3(3^4-7^2)[/tex]
We are to write it as a single logarithm
Using the product and quotient law of logarithm;
[tex]2(log_38+log_3z)-log_3(3^4-7^2)\\=2(log_38+log_3z)-log_3(\frac{81}{49} )\\=2(log_38z)-log(\frac{81}{9})\\=log_364z^2-log(\frac{81}{9})[/tex]
Simplify the final result to have:
[tex]=log_364z^2-log(\frac{81}{9})\\=log_3(\frac{9(64z^2)}{81} )[/tex]
Hence the single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]
Learn more on logarithm here: https://brainly.com/question/25710806
GIVING BRAINLIEST, PLS HELP!!!!! :((
Write a statement that correctly describes the relationship between these two sequences: 6, 7, 8, 9, 10, and 18, 21, 24, 27, 30.
Step-by-step explanation:
1 Sequence
The numbers are in a right order but starting from 6 and ending at 10....
2 sequence
Numbers are from table of 3 and starting from 3×7 and ending up at 3×10
The sweatshirt is $52. What is the 9% sales tax?
The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of b is negative. The value of a is not 0. Where could point P be located on the coordinate plane? Choose all answers that apply: Choice A Quadrant I (Choice B) Quadrant II (Choice C) Quadrant III (Choice D) Quadrant IV (Choice E) x-axis (Choice F) y-axis
Answer:
Quadrant III ( C )
Quadrant IV ( D )
Step-by-step explanation:
Ordered pair ( a, b )
gives a point P on the coordinate plane
( a, b ) = ( x, y )
given : b = negative ( y-axis )
a ≠ 0 ( i.e. a = negative or positive ) ( x -axis )
Therefore point P is located in the : Third and fourth quadrants
Answer:
3 and 4
Step-by-step explanation:
:)
Is the relationship linear, exponential, or neither ?
Answer:
Linear
Step-by-step explanation:
Answer:
Linear, there is a constant rate of change
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them.
Answer:
The line intersecting is a transversal and x is 44 degrees.
Hope it helps!!!
A list is made of all possible 2-digit whole numbers that result from using only the digits 1,3,5, and 7 in both the
ones and tens place, with duplications allowed. How many whole numbers in the list are prime numbers?
A.6
B.7
C.8
D.9
E.10
Answer:
b7 and e10
for brainly
If the surface areas of two spheres are in ratio 16:9, then their volumes will be in the ratio
Answer:
64 : 27
Step-by-step explanation:
If linear ratio is a : b , then
area ratio = a² : b²
volume ratio = a³ : b³
Given area ratio = 16 : 9 , then
linear ratio = [tex]\sqrt{16}[/tex] : [tex]\sqrt{9}[/tex] = 4 : 3
volume ratio = 4³ : 3³ = 64 : 27
I need help with these questions ♂️ please ?
cba
Step-by-step explanation:
first first one to see second one is b last one is a
what are the factors of 6 that have a sum of 7
Answer:
[tex]factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer[/tex]
Answer:
I believe your answer is 6 and 1 because 6x1=66+1=7
Step-by-step explanation:
May I pls have a brainley
PLS HELPPPPP I DONT UNDERSTAND THIS
Answer:
1
Step-by-step explanation:
The slope is rise over run. (rise/run)
Since the line rises 1 and goes to the right 1, the slope is 1. (1/1 = 1)
Brainliest Please. ;)
Can someone pls helpppp ASAP this is due in 25 min :(
For the right triangles below, find the values of the side lengths d and a.
Round your answers to the nearest tenth.
Answer:
a = 1.4 and d = 6.9
Step-by-step explanation:
To get the value of d and a, we will use the SOH CAH TOA identity
For the first tringle;
Opposite = d ((opposite angle 60 degrees)
Adjacent = 4
Tan theta = opp/adj
Tan 60 = d/4
d = 4tan60
d = 4(1.732)
d = 6.9
For the second triangle;
Opposite = a
Hypotenuse = 2
Since sin theta = opp/hyp
Sin45 = a/2
a = 2sin45
a = 2(0.7071)
a = 1.4
Hence a = 1.4 and d = 6.9
The radius of a circle is 10 cm. Find its circumference in terms of pi
Answer:
20 pi is the correct answer
Find the inverse for the following function.
f(x) = 2x^2 + 20x +47
x-2y = 1
xc²+zxcy - 2x - 4y=0
Answer:
hope it's help you
good afternoon
When an item is marked down 10% , why does it make sense to multiply the price by 0.9?
Answer:
Since there is 10% off of the price, the new cost is 90% of the original. So we just multiply the price by 0.9
Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could have gotten a better deal at a different store that was advertising a sale of One-third off all clothing. If the original price of Dima’s skirt was $54, how much more could she have saved at the store her friend suggested?
Answer: I think it's 1.80
Answer:
B
Step-by-step explanation:
hlppppppp plzzzzzzzzzzzzzz
Answer and Step-by-step explanation:
All we have to do is plug in -7 for h in the expression.
3 + -(-7) - 4
The negatives cancel out to become positive.
3 + 7 - 4
10 - 4
6
The answer to the expression is 6.
#teamtrees #PAW (Plant And Water)
Solving systems of equations using the substitution method 2x+4y=34
Answer:
the answer is x=-2y+17
Step-by-step explanation:
Answer:
Here ya go! Hope it helps.
Step-by-step explanation:
i rlly need help with this somebody i will give brainlist
Answer:
the answer is 10
Step-by-step explanation:
I just puted value and calculated it's simple
craig hiked for 7/10 mile and stopped to take pictures.Then her hiked for another 25/100 mile. How far did he hike in all
Answer:
The answer is 95/100 miles and simplified is 19/20 miles.
Step-by-step explanation:
A consultant for a major computer company receives $3250 per month as a fee no matter how many hours he works. Using x to represent the number of hours the consultant works each month, write a function, f, in symbolic form to represent the total amount the consultant recieves each month.
Answer:
The function is;
f(x) = $3,250
Step-by-step explanation:
The fixed amount the consultant receives each month = $3,250
The number of hours the consultant works each month = x
Let f(x) represent the function of the total amount the consultant receives each month
Therefore;
The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250
∴ f(x) = $3,250.
The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).
June runs a little slower than Carlos. She ran 1/4 of a mile in 3 minutes. How long will it take her
to run a full mile?
Answer:
12 mintes
Step-by-step explanation:
u add
What is the scale factor of the transformation?
Image is above!
Answer:
2x
Step-by-step explanation:
If you double all the distances of the BLACK shape, it becomes the BLUE shape.
Answer:
2
Step-by-step explanation:
PLZ HELP ITS DUE RN BRAINIEST TO WHOEVER RIGHT!
Answer:
The zero is 5
Step-by-step explanation:
The zeroes of f are the points where the graph f crosses the x-axis, which only occurs at x = 5.
How do I make the graph or if anyone makes the graph for me WILL GET BRAINLIEST.
SYSTEMS OF EQUATIONS)
Answer:
Part A
The required inequality is;
y = 50 - 2 × x ≥ 20
Please find attached the graph of the inequality created with Microsoft Excel
Part B
The number of weeks she can withdraw is less than or equal to 15 weeks
Step-by-step explanation:
The given parameters are;
The amount Kate has in her savings account at the beginning of the summer = $50
The least amount she wants to have in the account at the end of the summer = $20
The amount she withdraws each weak from the account = $2
Part A
Let 'x' represent the number of weeks she can withdraw money, we have;
The required inequality that gives the number of weeks she can withdraw money is given as follows
y = 50 - 2 × x
y ≥ 20
Therefore, the inequality is;
y = 50 - 2 × x ≥ 20
The graph of the inequality created with Microsoft Excel is attached
Part B
The number of 'x' weeks she can withdraw is;
50 - 2 × x ≥ 20
- 2 × x ≥ 20 - 50 = -30
x ≤ -30/(-2) = 15
The number of weeks she can withdraw is x ≤ 15 weeks.