What is the volume of a hemisphere with a diameter of 61.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
60896.7
Step-by-step explanation:
The volume of the hemisphere will be 60,865.86 cubic centimeters.
What is the volume of the sphere?Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme or US standard units. Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The diameter is 61.5 cm. Then the radius is calculated as,
r = d / 2
r = 61.5 / 2
r = 30.75 cm
The volume of the hemisphere is half of the volume of the sphere, then the volume is calculated as,
V = (1/2) x (4/3) x π r³
V = (1/2) x (4/3) x 3.14 x (30.75)³
V = 2.0933 x 29076.04688
V = 60,865.86
The volume of the hemisphere will be 60,865.86 cubic centimeters.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ2
HELP PLEASE ANSWER ALL
Evaluate: -12x + 2y when x = -2 and y = -1
Evaluate: 10 + a - b when a = -4 and b = -6
Evaluate: -8(n-3) when n = -7
Evaluate: 3 - x + 2(-x + 4) when x = 9
Evaluate: 12 - (15 + y) ÷ 6 - 8 when y = -3
Evaluate: 15 - a(-b) when a = 5 and b = -5
Answer:
1) 22
2)12
3)-80
4)-16
5)-10.5
6)-10
Step-by-step explanation:
-12x + 2y when x = -2 and y = -1
= -12 (-2) + 2 (-1)
= 24 + (-2)
= 22
10 + a - b when a = -4 and b = -6
= 10 + (-4) - (-6)
= 10 - 4 + 6
= 10 + 2
= 12
8(n-3) when n = -7
= 8 (- 7 - 3)
= - 56 - 24
= - 80
3 - x + 2(-x + 4) when x = 9
= 3 - 9 + 2 (- 9 + 4)
= - 6 - 18 + 8
= - 24 + 8
= - 16
12 - (15 + y) / 6 - 8 when y = -3
= 12 - 15 + 3 / 6 - 8
= 12 - 15 + 0.5 - 8
= - 3 - 7.5
= - 10.5
15 - a(-b) when a = 5 and b = -5
= 15 - 5 (5)
= 15 - 25
= - 10
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
If Salesman A has exactly
sales, he will reach his maximum weekly commission.
If we take the paycheck amount of $1020 and subtract it by the weekly salary of $300.
$1020 - $300 = $720
We get $720 in sale commissions. So to get the number of sales, you divide the $720 by the $40 per sale commission.
$720/$40 = 18
Therefore, the sales Salesman B has for the week is 18.
Answer:
20
Step-by-step explanation:
If salesman A works solely on commision and makes $65/sale with a limit of $1,300, you need to divide 1,300 by 65.
Therefore, your answer is 20.
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s actual height is 4 feet, 2 inches.
Should Clare's or the doctor's measurement be considered the actual height?
Select one:
Clare's
doctor's measurement
Answer:
The doctor's because Clare's measurement is an estimation rather than exact measurement
Answer:
the doctor's measurement
Step-by-step explanation:
hope this helps!
What is the scale factor from the original design to the reduced design?
Group of answer choices
2
4
1/4
1/2
The original is 5 cm, the reduced image is 2.5
2.5/5 = 0.5 = 1/2
The scale for the reduced image is 1/2
Answer:
1/2
Step-by-step explanation:
uhh its 1/2
The proportional relationship between the number of hours Lincoln works, h, and his total earnings in dollars and cents, e, can be represented by the equation e=16.2h. How much does he make in dollars and cents per hour?
e=16.2h------e/16.2=16.2/16.2h------16.2e=h
h=16.2e------h=44.03
Answer might be H=44.03 or H=5e/81
Describe a strategy to visualize and calculate 20% of 40.
Fred jumped into a lake from a rock 7 feet above the surface of the water. He sank five feet into the water and continued to swim down two additional feet.
•Sophie stated that the total distance would be 0 because the heights were additive inverses of each other.
•Jake disagrees and thinks that Fred covered 14 feet. He found his answer using a number line.
Do you agree with Sophie or Jake?
Answer:
Sophie
Step-by-step explanation:
Jake is wrong because when he jump he was out of the water and you're supposed to count what he swam in the water so Sophie is correct.
Kennedy is building a new L shaped desk for her room she wants to make sure it’s large enough for her supplies the dimensions of the desk in feet are shown in the diagram what is the area of the desk?
Answer: a
Step-by-step explanation:
The actual distance from Pittsburgh, PA to Philadelphia PA is 304 miles. On a map the distance is 14 inches. Complete the scale 1 inch = ?
PLEASE HELP IT'S ALREADY 5 DAYS LATE
For each story, write an equation that describes the relationship between the two quantities.
a. Diego collected x kg of recycling. Lin collected
2/5
more than that.
b. Lin biked x km. Diego biked
3/10
less than that.
c. Diego read for x minutes. Lin read
4/7
of that.
Key:
[tex]d=[/tex] Diego
[tex]l=[/tex] Lin
A. [tex]l=x+\frac{2}{5} x[/tex]
B. [tex]d=x-\frac{3}{10} x[/tex]
C. [tex]l=\frac{4}{7} x[/tex]
An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit. What is the rate of temperature change in degrees Fahrenheit per foot? Complete the steps below to answer the question.
i know I already posted this but the answer was no help and I doubt other people would reply to the first one
part A: Write the change in elevation and the change in temperature as rational numbers.
part B: Write a numerical expression to represent the rate of temperature change in degrees Fahrenheit per foot.
part C: What is the rate of temperature change in degrees Fahrenheit per foot?
part D: Now, consider the reverse situation: as the airplane descends, or drops, 1,000 feet in the air, the temperature rises 20 degrees Fahrenheit. Write a numerical expression representing the rate of temperature change in degrees Fahrenheit per foot.
part E: What is the rate of temperature change in degrees Fahrenheit per foot?
part F: How is the rate you found in part E related to the rate you found in part C? What does this mean?
i need the answer to EACH PART SO PLEASE IM ACTUALLY PANICKING DONT JUST ANSWER THE WHOLE QUESTION AS ONE I NEED EACH PART THIS IS MY LAST DAY TO WORK ON IT AND IM REALLY STRESSED PLEASE
Answer:
Step-by-step explanation:
For every 1,000 feet that it climbs, the outside temperature drops 20 ... What is the rate of temperature change in degrees Fahrenheit per foot.
Please explain your answer
WIll mark as brainliest.
Answer:
you are a real bot
Step-by-step explanation:
A pole that is 3.4m tall casts a shadow that is 1.3m long. At the same time, a nearby tower casts a shadow that is 35.25m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
92 meters
Step-by-step explanation:
Let x be the unknown, which is the height of the building.
3.3 m = x
1.78 m 49. 75 m
Solve for x.
(3.3 m) (49.75 m) = x
1.78 m
92.2331460674 = x
Rounded to the nearest meter, the building is 92 meters high.
Answer:92 meters high
Step-by-step explanation:
height of pole = height of the building
height of the shadow height of the shadow
3.3 m = x
1.78 m 49. 75 m
Solve for x.
(3.3 m) (49.75 m) = x
1.78 m
92.2331460674 = x
1). −3p + 6 p =
2). b − 3 + 6 − 2b =
3). 7x − x =
4). 7p − 10p =
5). −10v + 6v =
6) −9r + 10r =
7) 9 + 5r − 9r =
8) 1 − 3v + 10 =
9). 5n + 9n =
10) 4b + 6 − 4 =
11) 35n − 1 + 46 =
12) −33v − 49v =
13) 30n + 8n =
14). 7x + 31x =
please help me finish this i need this now please and please actally answer the qestipn thank u i need this
help please i need it
-9 + 3x = 9 Please Answer Correctly
Answer:
x=6
Step-by-step explanation:
Hope this helps if you so please mark me Brainliest I would greatly appreciate it. Peace and Love
Answer:
3
Step-by-step explanation:
3(6)=18 so x is 6 because -9+18=9
Divide: 6 ÷ -{4}{5}.
[tex]6 \div - (4)(5)[/tex]
[tex]6 \div - (20)[/tex]
[tex]6 \times - ( \frac{1}{ 20} )[/tex]
[tex]3 \times - ( \frac{1}{10} )[/tex]
[tex] \frac{ - 3}{10} [/tex]
[tex] - 0.3[/tex]
Ok hello everyone I have a VERY important question I beg you to help me I want to scream right now because I'm so confusion but can someone PLEASE PLEASE help me
I'm sorry i dont have any text or anything but if you know this
pls help
Silas claims that the equation y=2+mx, where m is a real number, represents a function whose graph is a straight line.
Select the statement that best classifies this claim.
The claim is true for all values of m.
The claim is not true for any value of m .
The claim is only true when the value of m is 0.
The claim is only true when the value of m is not 0.
BRAINLIEST FOR RIGHT ANSWERS
The graph represents function 1, and the equation represents function 2:
Function 2
y = 2x + 7
How much more is the rate of change of function 1 than the rate of change of function 2?
answer choices
1
2
3
4
Answer:
It has 2 more rate of change.
Step-by-step explanation:
the rate of change in function 2 is 0, because the line isn't going up or down. The rate of change in equation 1 is 2 because 2x represents the slope, or rate of change, in the equation. So, function 1 has 2 more of a rate of change than function 2.
What can be broken, but is never held?
Answer:
It's Obviously Your HEART. It can be Broken but can not be held.
Also Promises and trust and silence
Step-by-step explanation:
Can someone help on this other question ^W^
Answer:
z=12
Step-by-step explanation:
z/4-2=1
z/4=2+1
z/4=3
z=3×4
z=12
Answer:
[tex]\huge\boxed{z=12}[/tex]
Step-by-step explanation:
[tex]\dfrac{z}{4}-2=1\qquad|\text{add 2 to both sides}\\\\\dfrac{z}{4}-2+2=1+2\\\\\dfrac{z}{4}=3\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{z}{4\!\!\!\!\diagup}=4\cdot3\\\\z=12[/tex]
Kai has been saving up money to buy a new backpack that is originally priced at $88.95. The store is having a 40% off end of season sale but Kai has only $55 saved up so far. Do you think he can buy the backpack? (Don't worry about sales tax in this problem.)
Answer:
yes, he can but the backpack.
Step-by-step explanation:
When working with interest, how many decimal places should you have when working with money?
2 decimal places because we're working with money
No decimal places; always round to the nearest dollar.
1 decimal place
Answer:
I'm pretty sure it's 4 decimal places but that's not one of your answers so I don't know.
Step-by-step explanation:
9514 1404 393
Answer:
more significant figures than in the answer
interest is reported to 2 decimal places when working with money
Step-by-step explanation:
Sums of money can involve large numbers of significant figures. A billion dollars, accurate to the penny, has 12 significant digits. Everyday finance may not involve billions of dollars, but measures of world economic activity may involve substantially more.
In general, if you want interest rate calculations accurate to the penny, the number of significant digits in the interest rate used must match or exceed the number of significant digits in the end result of the computation.
A million-dollar loan may have payments in the $10,000 range or higher, requiring 7 or 8 significant digits to express the payment value. Hence its computation should be made using interest rates accurate to 7 or 8 significant figures.
__
Example:
$1,800,000 loan for 15 years at 3.2% interest. The monthly payment is given by ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . for principal P at rate r for t years
The payment is expected to be in the $10,000 range, so will have 7 significant figures. If we round the monthly interest rate to 7 decimal places, we get ...
A = 1.8×10^6(0.0026667)/(1 -(1.0026667^-180)) = 12,604.38
If we round the monthly interest rate to 8 significant figures, we get ...
A = 1.8×10^6(0.0026666667)/(1 -(1.0026666667^-180)) = 12,604.34
Notice there is a difference in the last digit of the payment value. We should also note here that there was no rounding at any point in the calculation until the final answer.
__
Money amounts are generally rounded to the nearest penny when reported on statements of account. That is, interest amounts are rounded, and the account value is maintained to two decimal places. Because of this, payment-by-payment loan amortization schedules may differ from the calculated values arrived at using formulas such as the one above.
For tax purposes, the amount of tax due may be maintained to a number of decimal digits greater than those that appear on the pay stub. A pay-period tax due of 5.3333, for example, may be charged as 5.33 for two pay periods and 5.34 for the third pay period. The idea is to make the yearly total come out right. Usually, 4 or 5 decimal places will be sufficient for this purpose.
_____
The short answer is ...
enough significant digits to ensure appropriate accuracy of the computed result
(for penny-accurate computations in the trillion-dollar range, 18 significant digits or more may be required.)
interest will be reported to 2 decimal places when working with money
Identify the terms, like terms, coefficients, and constants in each expression.
Answer:
2. Like terms: 5a 4. Lt: 4y, and y
coefficient: 2,-7 coefficient: 4, -3
Constant: 2,-7 constant: 4
3. like terms: 3h, 2h, and 6h can you follow these and do the remaining??
if no, I'll help u
coefficient: 3,2,6
constant: 9
Oscar made 16 of his 20 free throws attempted. What percent of free throws did Oscar make?
Answer:
Oscar made 80% of his free throws
Step-by-step explanation:
16/20 is 80%
PLS HELP ASAP WILL MARK BRAINLIST !!! (If its right, might have to wait a day or to cause i have to see if its right)
PLS ANSWER ALL THE QUESTIONS
Answer:
1)y=3x-2
2)y=x-4
Step-by-step explanation:
1)As we know slope intercept from
y=mx-b
y=3/1x-2
y=3x-2
2)y=mx-b
y=1x-4
y=x-4
Bella needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm, and its base is 5 cm.
(1 point)
4.5 cm2
16.5 cm2
28.5 cm2
33.0 cm2
Answer
28.5
Step-by-step explanation:
when looking at 9/10 and 3/4 and crossing reducing, what number what would you divide both 9 and 3 by?
I need help
Answer:
3
Step-by-step explanation: