Identify the volume and surface area of the sphere in terms of π.
The figure shows a sphere. The sphere has a radius of 9 centimeters.
V = 972π cm3; S = 324π cm2
V = 243π cm3; S = 324π cm2
V = 972π cm3; S = 162π cm2
V = 243π cm3; S = 162π cm2
Answer:
Volume is: 972 and Surface area is 324
Step-by-step explanation:
How to get the volume is 9^3
That is 729
Times 4/3
972.
The surface area is 4 times 9^2
324.
You dont use the pie.
Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
Determine the value of the indicated term.
a1 = -4, d=4
Determine the 15th term
Answer:
52
Step-by-step explanation:
The general arithmetic sequence formula for this case is
a(n) = -4 + d(n - 1).
Thus, a(15) = -4 + 4(14) = 52
Answer:
The 15th term = 52
Step-by-step explanation:
a₁ = -4
d = 4
n = 15
a₁₅ = The value of the 15th term, (this is what we have to find out)
We know that formula of an arithmetic series is:
aₙ = a₁ + d(n - 1)
Now we can substitute the given values in:
a₁₅ = -4 + 4(15 - 1)
a₁₅ = -4 + 4(14)
a₁₅ = -4 + 56
a₁₅ = 52
So the 15th term = 52
Hope this helps!
Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer: $32.39
Step-by-step explanation:
The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:
= 1/5 * 15
= 3 gallons
If Ayssa is going to fill up the tank, the number of gallons needed is:
= 15 - 3
= 12 gallons
Gas is $2.699 per gallon so cost is:
= 12 * 2.699
= $32.39
I would really like help for this, if anyone is willing to help me.
Answer:
It's bc
Step-by-step explanation:
If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y
Answer:
x = 3, y = 5
Step-by-step explanation:
Since the ordered pairs are equal, then equate the x and y coordinates
x + 2 = 5 ( subtract 2 from both sides )
x = 3
y - 1 = 4 ( add 1 to both sides )
y = 5
Lyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the perimeter of the towel? (1 point)
Answer:
8 meters
Step-by-step explanation:
To find the perimeter follow these steps:
1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters
2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters
3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters
Have a fantastical day!
There are 20 marbles in the box. 4 marbles are black, 6 marbles are blue, 10 are red. What is the probability of drawing a black OR a red marble?
Answer:
7/10 or 70% or 0.7
Step-by-step explanation:
4 black, 10 red
10+4=14
now you put it over the total marbles
14/20=7/10
i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%
If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?
Answer:
฿₹Ø: 1391 US$
Step-by-step explanation:
PLS HELP ITS TIMED TYSM!!!
Similar figures have the same ________ but not necessarily the same size.
Answer:
Two figures are similar if they have the same SHAPE but not necessarily the same size.
PLEASE HELP! 100 PTS
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.
C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.
2 ft above
AB=10ftBC=400ftNow
Angle be x
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]
[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]
[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]
[tex]\\ \rm\Rrightarrow X=1.432°[/tex]
What is the value of y-x?
A. 20
B. 30
C. 45
If the scale factor between trapezoid ABCD and trapezoid is GHIJ is 2, how many feet will side GJ be?
Kindly find required figure in the picture attached below :
Answer:
14 feets
Step-by-step explanation:
From Trapezoid ABCD ;
The longer base, AD = 7 feets
Shorter Base ; BC = 5 feets
The Trapezoid GHIJ
Shorter Base = HI
Longer base = GJ
Given that the scale factor between ABCD and GHIJ is 2 ; then
GJ is similar to AD
Hence, side GJ = 2 * length of AD
GJ = 2 * 7 = 14 feets
HELP 5TH GRADE ,]\\ MADEGVGUGU MATH
Answer:
i think base. i might be wrong.
Step-by-step explanation:
Answer:
Its period................
yeah please help me I’ll give brainliest if correct
Answer:
p=20
6p=120
Step-by-step explanation:
Answer:
A: 6p = 120
Solution:
6 / p = 120 / 6
p = 20
dont forget to five-star and heart! ;)
Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6
Answer:
None
Step-by-step explanation:
6÷9=0.666...
9.1÷6=1.5166..
6.1÷9=0.6777...
54 is 54
9÷6=1.5
So none are equal
Answer:
the answer is 6 × 1/9
Step-by-step explanation:
6÷ 9 = 0.666
9 × 1/6 = 1 1/2
6 × 1/9 = 2/3 same as 0.666
54 = 54
9/6 = 1.5
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.
Answer:
Required inequalities are as following.
Brittany will exercise for at least 45 minutes:
x + y ≥ 45Brittany will exercise at most 1 hour and 15 minutes (= 75 min):
x + y ≤ 75Brittany will spend at least three times as much time on the treadmill as on the ski machine:
y ≥ 3xAnswer:
[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]
Find x.
A. 4/6
B. 6
c. 4√3
D.3/2
Enter an expression equivalent to (2x^2- 4x + 5) + (x^2+ 3x – 7) using the fewest possible number of terms.
NO LINKS!
Select the correct answer from each drop-down menu.
Consider the end behavior of the function
g(x) = | x-2 | -3
As x approaches negative infinity, f(x) approaches
[BLANK] infinity
Options :
Negative, Positive
As x approaches positive infinity, f(x) approaches [BLANK] infinity
Options :
Negative, Positive
Answer: negative, positive
Step-by-step explanation:
FOR PLATO!
Positive
Positive
What is the value of three to the fourth power?
I I need help on number 25 please
Answer:
22
Step-by-step explanation:
First write an expression to represent the situation.
$1,300,000 ≤ $475,000 + $37,500a
This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500
Using this equation, solve for a.
1300000 ≤ 475000 + 37500a
First, subtract 475000 from both sides.
825000 ≤ 37500a
Then divide both sides of the equation by 37500 to isolate a.
22 ≤ a
22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
The majority of the population of North America lives ________.
near farmland
near the coastline
inland
Answer:
near the coastline
Step-by-step explanation:
100%
Near the coastline. About 40% of Americans live on the coast.
What is the degree of the following polynomial: . 3x3 + 2x - 4
Answer:
3
Step-by-step explanation:
look for the greatest exponent
a shop sells 3 types of boots ( football , rugby and hiking) sales are usually in the ratio of 6 : 2 : 3 last month , 24 pairs of boots were sold . How many boots altogether last moth
Answer:
44
Step-by-step explanation:
First, let's sum up the ratio.
Sum the ratios = 6 + 2 + 3 = 11
We can make y the total number of boots sold together last month
If 24 pairs of boots were sold, then the equation would be
6/11 × y = 24
Cross multiply
6 × y = 24 × 11
6y = 264
y = 44
Therefore, total number of boots sold altogether last month were 44
14. Twelve more than seven times a number equals the number less six
Answer:
The number is -3.
Step-by-step explanation:
Set up an equation:
Variable n = number
12 + 7n = n - 6
Assuming the question is solve for n, isolate the variable:
Subtract n from both sides:
12 + 6n = -6
Subtract 12 from both sides:
6n = -18
Divide by 6 on both sides:
n = -3
Check your work:
12 + 7(-3) = -3 - 6
12 - 21 = -3 - 6
-9 = -9
Correct
Find the area of the figure.
Answer:
A = 132 cm²Step-by-step explanation:
Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.
Therefore:
[tex]A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132[/tex]