Answer:
Solution given;
for sphere
radius [r]:12inches
another
radius [R]:9inches
Now
difference in volume of sphere:
volume of sphere of having radius [r-R]
=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]
=[tex] \frac{4}{3} π[/tex](12³-9³)
= 1332π cubic inches
The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.
Alfred paid $36,187.89 for his new car. If he took out a loan and was given a 3.15 % interest rate compounded semi-annually for ó years, how much did he borrow? Round your answer to the nearest whole number.
Answer:
[tex]A = P(1+\frac{r}{n})^{nt}\\\\[/tex]
A = 36187.89
r= 3.15% = 0.0315
n = 2
t = 6
[tex]36187.89= P(1 + \frac{0.0315}{2} )^{2*6)[/tex]
[tex]36187.89 = P( 1+0.01575)^{12}\\\\P = \frac{36187.89}{1.01575^{12}} = 30000.0024[/tex]
Answer $30,000
The graphs of linear functions fand g are shown on the grid.
which function best represented by the graph of g
Answer:
g(x) = 3f(x)
Step-by-step explanation:
We can see that for function g;
When x = 1, y = 3
When x = 2, y = 6
When x = -1, y = -3
When x = -2, y = -6
For function f;
When x = 1, y = 1
When x = 2, y = 2
When x = -1, y = -1
When x = -, y = -2
We can see that the output of g(x) is always 3 times that of f(x) for same values of x.
Thus;
g(x) = 3f(x)
Tanvi's favorite holiday activity is making gingerbread houses. She always uses 7 pieces of licorice to make a window. This year, Tanvi used 56 pieces of licorice for the windows on her gingerbread house. How many windows are on tanvi gingerbread house this year
Isabella is playing a board game. The probability that Isabella will lose a turn on her next turn is 11%. Which word or phrase describes the probability that Isabella will lose a turn?
Answer:
unlikely
Step-by-step explanation:
11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely
a) Make t the subject of the formula
[tex]( \sqrt{t + 2) \div u = 1} [/tex]
Determine the explicit formula for the following arithmetic sequence. Put it in the form
an
7, 12, 17, 22,...
What will the 30th term in the sequence be?
Answer:
Tn=5n+2
Step-by-step explanation:
Tn=5n+2
T30=5*30+2
T30=150+2
T30=152
need help on question 26
Answer:
y = 2x - 3.
Step-by-step explanation:
26, The slope is 2 and y-intercept is -3
Malcolm is filling bags with rice. He starts with a 57 -pound container of rice and fills each
bag with pound of rice. How many bags of rice can Malcolm fill?
Click the arrows to choose an answer from each menu.
To determine the number of bags Malcolm can fill. Choose
Malcolm can fil
Choose
full bags and choose
of another bag
Rewrite 5 1/4 as an improper fraction:
Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:
5 x 4 = 20 + 1 = 21
5 1/4 = 21/4
Ow divide the total amount (21/4) by the amount in each bag (5/8)
21/4 / 5/8
When dividing by a fraction flip the second fraction over and then multiply straight across:
21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags
He can fill 8 full bags and 2/5 of a other bag
5 b = - 25 for algebra
Answer:
b= -5
Step-by-step explanation:
because 5x-5=-25
The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?
Answer: 8 cups
Step-by-step explanation:
Let the cups of orange juice concentrate that he used be represented by x.
Therefore, based on the information, we can form an equation which will be:
2/5 = x/20
Cross multiply
5 × x = 2 × 20
5x = 40
x = 40/5
x = 8
Therefore, he used 8 cups of orange juice concentrate.
In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow
Answer:
15/60 or 1/4, which is 25%
Step-by-step explanation:
SUPER CONFUSED! EXPLAIN PLS! EMERGANCY!
Answer:
73.12m²
Step-by-step explanation:
Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)
12 x 8 = 96
96 x ½ = 48
Now we do the semicircle (the formula for a circle is pi x radius² )
the radius is half of the diameter so:
8 ÷ 2 = 4
4² = 16
we're using 3.14 for pi so:
3.14 x 16 = 50.24
Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:
50.24 ÷ 2 = 25.12
Now we add both of those together:
48 + 25.12 = 73.12
So the area of the figure is 73.12m²
hope this helps:)
PLEASE HELP DOES ANYONE KNOW HOW TO SOLVE THIS
Answer:
36
Step-by-step explanation:
All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.
As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36
Convert 12/5into a percent
Answer:
[tex]240\%[/tex]Step-by-step explanation:
[tex] \frac{12}{5} \: into \: percentage[/tex]into decimal form:
[tex]2.4[/tex]
[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex][tex]240\%[/tex]
Hint:
[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...HURRY!!
In an isosceles triangle, the measure of a base angle is 65º. Find
the number of degrees in the measure of the vertex angle.
Answer:
Your answer is 50 degrees.
Step-by-step explanation:
An isosceles triangles base angles are equal.
A triangle's angles add up to be 180 degrees.
65+65+x = 180
130+x = 180
x = 50
Vertex angle is 50⁰.
What are triangles?A closed two-dimensional figure with three sides, three angles, and three vertices is called a triangle. The smallest polygon with the fewest sides is the triangle. A triangle can be divided into three categories based on its sides:
Scalene Triangle: Each side measures differently.
Isosceles Triangle - Different sides of a triangle are of a similar measure and the excess side has an alternate measure.
An equilateral triangle has three sides that are all the same size.
Given an isosceles triangle,
measure of base angle = 65⁰
in an isosceles triangle two angles are equal and sum of all the angles is 180⁰, the equal angles are called base angle;
let vertex angle be x , according to triangle property
sum of all the angles is 180⁰,
base angle + base angle + vertex angle = 180
65 + 65 + x = 180
x = 180 - 130
x = 50⁰
Hence the the measure of the vertex angle is 50⁰.
Learn more about triangles;
https://brainly.com/question/2773823
#SPJ
The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?
Answer:
27 tiles
Step-by-step explanation:
First, find the total area of the kitchen.
Use the area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sq ft
Find the area of the square tiles, using the same formula:
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sq ft
Find how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, they will need to buy 27 tiles
Answer:
27 tilesTo find the total area of the kitchen.
We know,area formula, A = lw
A = lw
A = (9)(12)
A = 108
So, the area of the kitchen is 108 sqft
NowTo find the area of the square tiles
A = lw
A = (2)(2)
A = 4
So, the area of one square tile is 4 sqft
AtlastFind how many tiles they will need to buy by dividing the total area by the area of one tile:
108/4
= 27
So, Tiles Needed= 27
Hope This Helps You ❤️need help please to pass
Answer: None of the other answers are correct
Step-by-step explanation: Hope this help :D
Find BDC of the geometry question.
Answer:
∠ BDC = 54°
Step-by-step explanation:
The inscribed angle BDC is half the measure of its intercepted arc , so
∠ BDC = [tex]\frac{1}{2}[/tex] × 108° = 54°
Find the value of x.
Answer:
46degrees
Step-by-step explanation:
Find the value of x.
Using the circle theorem which states that
The angle at the vertex is half the difference that at the intercepted arcccs
x = 1/2(152 - 60)
x = 1/2 (92)
x = 92/2
x = 46degrees
Hence the value of x is 46degrees
Consider triangle ABC.
What is the value of y in the triangle?
С
809
Angle y =
B В
Answer:
50
Step-by-step explanation:
Find X. It’s a right triangle
Answer:
7.64
Step-by-step explanation:
use tangent (opposite over adjacent)
tan27=x/15
multiply both sides by 15 to isolate the x
15tan27=x
use a calculator
answer = 7.64
The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of their masses?
Answer:
carbon is heavier
Step-by-step explanation:
That's the difference right?
Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom
1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24
Hard and Long math question, Answer for 100Points
(In image)------ (Dum answers to steal points will be reported, and your account will be deleted)
(Answer In depth for all points, And Answer all the questions that the problem requests)
Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36
Step-by-step explanation:
Momma: x/48=30/20; 1440=20x; x=72
Uncle: x/72=5/10; 360=10x; x=36
Baby: x/36=6/8; 216=8x; x=27
Grandaddy: x/27=16/12; 432=12x; 36
How many solutions does the system have ?
Answer:
one
Step-by-step explanation:
althought the lines look parallel the
slope on the blue line is 1
slope on the red line is 3.5
therefor there is one solution
Please help me thanks please
I will give you brainlest
Answer:
60
Step-by-step explaintion
5 x 12
(4rxt – 8r2x + x²) – (6rx² + 5rxt – 2x)
Find the sum or difference
Please help! I’m stuck and can’t figure it out
Answer:
[tex]sum = (4 - 5)rxt - (8 + 6) {rx}^{2} + (1 + 2)x \\ = - rxt - 14 {rx}^{2} + 3x \\ \\ difference = (4 + 5)rxt + (6 - 8) {rx}^{2} + ( - 2 + 1)x \\ = 9rxt - 2 {rx}^{2} - x[/tex]
[tex] \small{ \underline{{ \blue{becker}}}}[/tex]
Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?
Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.
Answer:
6.25 times two equals 12.5
Step-by-step explanation:
What is Harry's unpaid balance?
0 $74.89
O $89.89
O $112.50
0 $127.50
Answer:
what is harry unpaid balance
0$74.89
What is the probability of a customer buying a vegetable that is not an onion at this store?
79%
81%
90%
19%