The volume of the sphere is the amount of space in it, and the value closest to the radius is 3.5 cm
How to determine the radius of the sphere?The volume is given as:
V = 179.6
The volume is calculated using:
V = 4/3πr³
So, we have:
4/3πr³ = 179.6
Multiply both sides by 3/4
πr³ = 134/7
Divide both sides by π
r³ = 42.88
Take the cube root of both sides
r = 3.5
Hence, the value closest to the radius is 3.5 cm
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8. In July 2008, the united states had a population of approximately 302,00,000 people. How many Americans were there in July
Explain how you would find the perimeter of this triangle.
Answer:
15.4
Step-by-step explanation:
[tex]\frac{u}{4}[/tex] = tan51.3° ⇒ u = 4tan51.3° ≈ 5
[tex]\frac{4}{v}[/tex] = cos51.3° ⇒ v = [tex]\frac{4}{cos51.3}[/tex] ≈ 6.4
P ≈ 4 + 5 + 6.4 = 15.4
The perimeter of the triangle is 18.56.
What is the perimeter of triangle?The perimeter of the triangle is addition of all three sides.
Given:
The sides of angle is 4, u and v.
The angle of triangle is 51.3 degree.
For finding the value of u and v.
[tex]tan\theta=\frac{opposite}{Adjacent}[/tex]
tan 51.3 = u/4
1.682 =u/4
u = 6.72
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
cos 51.3 = 4/v
0.51 = 4/v
v = 7.84
Perimeter = u + v + 4
= 6.72 + 7.84 + 4
= 18.56.
Therefore, the perimeter of this triangle is 18.56.
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Which of the following rational functions is graphed below?
5
10
A. F(X) =
OB. F(x)=
O C. F(x) =
D. F(X) =
(x + 1)
(x + 2)(x-2)
(x+1)
(x-1)(x+2)
2x
x(x - 2)
(x-1)
x(x-2)
ڈے
Answer:
B. F(x) = (x+1)/(x-1)(x+2)
Step-by-step explanation:
See attached graph. Note how the two vertical lines at x = -2 and 1 match plot B
The following graph is of the rational function [tex]F(x) = \frac{x+1}{(x-1)(x+2)} \\[/tex]
What are asymptotes?
An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.
The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.
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Anyone help me please
Answer:
2,799 square cm
Step-by-step explanation:
Volume of cone: (1/3)π(9^2)(40)=1,080π
Volume of cylinder: π(3^2)(21)=189π
1,080π - 189π = 891π = 2799.2 square cm
The small boxes in Figures A and B at the right are
congruent squares. The perimeter of Figure A is
48 inches. What is the perimeter of Figure B?
(The perimeter of a figure is the distance around it.)
E
Answer:
60 inches
Step-by-step explanation:
In diagram A, the perimeter (outer edge) is made of 16 sides of the boxes.
48/16=3, so each side is 3 inches.
In diagram B, the perimeter is made of 20 sides.
20x3=60
At a soccer game the snack bar sells hot dogs for 4 dollars and slices of pizza for 6 dollars. The snack bar sold 70 hot dogs and slices of pizza all together for $342 dollars.
Part A: Enter the total number of hot dogs sold.
Part B: Enter the total number of slices of pizza sold.
Answer:
Part A: Enter the total number of hot dogs sold. 70 of sold hot dogsPart B: Enter the total number of slices of pizza sold. 50 slices of pizzaStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧Which is an x-value of a solution to the system
Answer:
Option B I.e -1/2
Step-by-step explanation:
Option B I.e -1/2
Translate each verbal phrase into an algebraic expression:
1. 6 inches by the number n
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
8in³
Step-by-step explanation:
Volume is given as the product of surface area and height.
V=Ah
Where h is height and A is surface area. Here, the surface area is given 1 square inches and the height is 8 inches then the volume will be given as
V=1*8=8 cubic inches
Therefore, the volume of the bird feeder is equal to 8 cubic inches
The total cost for one year at the state university is $22,500. a student has the following help in covering the costs of school. an academic scholarship for $10,000. other scholarships and grants for $4,400. parents pay $1,800. what is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
Answer:
$630 Per Month
Step-by-step explanation:
$22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months
=$630
help me plsss i need to do it fast 12 min left help me pls
Answer:
$44
Step-by-step explanation:
She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44
Answer:
you're correct it's 44 you do 79 - 35 and you get 44
You are considering buying the house next to your home in order to fix it up and
sell it to make a profit. Ypu estimate that you will need to invest about $8,000 to
make necessary repairs and upgrades. After these improvements, you should
be able to sell it for $215,000. If the general guideline for flipping is to buy at
least 20% below the market value, what is the most you should be willing to pay
for the home?
Answer:
s
Step-by-step explanation:
In the circle above, the radius (x) is 15 centimeters. Find the area of the shaded sector. Round to the nearest tenth.
Step-by-step explanation:
125°/360°×π×15²
=245.44cm²
MATH
can somebody help me with these questions?
Find the equation of the lines a and b
Step-by-step explanation:
A ) 3x-2
B ) -4x+5
I HOPE IT HELPED YOU
Need help with this geometry question asap!
Answer:
Height = 18 units
Step-by-step explanation:
Given :
Volume= 162pi, radius= 3 units
We know,
Volume of Cylinder= Pi * (radius)^2*h
now you can substitute, (P.S: dont put the value of pi as it will get cancelled)
162 pi = pi* (3)^2* h
162= 9h
∴h= 162/9= 18
∴ height is 18 units.
Hope it helps. But I am not sure if the answer is correct or not.
Answer:
[tex]v = \pi \: {r}^{2} h \\ where \: v = 162\pi \: \\ r = 3 \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{162}{9} \\ h = 18 units[/tex]
Answer number 6 pleaseeeee
Answer:
20 peopleStep-by-step explanation:
25% = 1/4 of 100
100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200
If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.
50... ok......
50 = 25%
Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people
So, if 25-15=10
and then 5% = 10 people
5%+5%=10
10+10=20
That means, that 20 people more liked the movie than disliked it.
33-90 divided by 3 HELP ASAP PLS
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. if erica made $42.80 on monday, $64.20 on tuesday and $74.90 on wednesday, how many subscriptions did she sell in the three days? a. 32 b. 33 c. 34 d. 35 please select the best answer from the choices provided a b c d
Answer:
c. 34
Step-by-step explanation:
1) Add all the given prices on each day.
= 42.80 + 64.20 + 74.90
= 181.90
2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.
Let x = number of magazine subscriptions sold
5.35x = 181.90
x = [tex]\frac{181.90}{5.35}[/tex]
x = 34
Can you answer number 29 please?
Answer:
a. 90
b. 40
c. 55
d. 6
e. 72
Step-by-step explanation:
a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.
b: 1 and 3 are the congruent angles so 3 has the same measure as 1.
C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.
d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.
e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.
please help me im confused
Step-by-step explanation:
x = 5
x = -7
x = 18
x = 14
these are the answers, comment if you still have doubts.
(D) How do you write 6
20
as a percentage?
Answer:
62%
Step-by-step explanation:
10 000 ÷ 100 = 100
620 ÷ 100
= 62%
will give brainliest if your answer IS CORRECT
Answer:
Reflection over the y-axis.
Step-by-step explanation:
All the x values will change sign so its over the yaxis
Answer:
a. The graph will be reflected over the y-axis
Step-by-step explanation:
When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.
hope this helps :)
At the park there
is a merry-go-round with a radius of 6 feet.
What is the circumference?
Answer:
Step-by-step explanation:
r=6ft; c=2pi(6)=12pi ft
put into calculator, you get 37.7 ft
What is a difference of squares that has a factor of x 8? x2−4 x2−16 x2−64 x2−256
Answer:
(c) x² -64
Step-by-step explanation:
The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...
a² -b² = (a +b)(a -b)
__
You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...
a² -b² = x² -8² = x² -64
Answer:
x^2-64
Step-by-step explanation:
just did the test
What is an equation of the line that passes through the points (4, -2) and (2, 3)?
Step-by-step explanation:
For this problem, you'll need two formulas:
Slope: y1 - y2/x1 - x2
Point Slope: y - y1 = m(x - x1)
First thing you need to use is the slope formula.
Plugging in your coordinates gives you:
[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]
You can simplify this by getting rid of the negatives since two negatives make a positive.
Now to use the point slope formula.
For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).
I'll be using the point (2,3). Now plug everything in:
[tex]y-3=\frac{5}{2} (x-2)[/tex]
First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:
[tex]y-3=\frac{5}{2} x-5[/tex]
Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:
[tex]y=\frac{5}{2} x-2[/tex]
Hope this was helpful, good luck :)
PLEASE HELP!! IM ON THE LAST QUESTIONNNN ( 30 points!)
[tex]~~~~~\pi r^2 = 513\\\\ \implies r = \sqrt{\dfrac{513}{\pi}}\\\\ \implies r= \sqrt{\dfrac{513}{3.14}}\\\\\implies r=12.78~ \text cm.}\\\\\text{Hence the radius is 12.78 cm.}[/tex]
Answer:
Step-by-step explanation:
Area of circle = πr²
[tex]\sf \boxed{r =\sqrt{ \dfrac{Area}{3.14}}}[/tex]
[tex]\sf r =\sqrt{\dfrac{513}{3.14}}\\\\r = \sqrt{163.38}\\\\r = 12.78 \ cm[/tex]
Surah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 13 people took the trip. She was able to purchase coach tickets for $240 and first
class tickets for $1180. She used her total budget for airfare for the trip, which was $11,580. How many first class tickets did the buy? How many coach tickets did she buy?
Question 1.number of first class tickets bought -
Answer:
781.54
Step-by-step explanation:
240+1180= 1420
11580-1420 = 10160
10160÷13 ~=~ 781.54
PLACE as brainliest
Answer:
9 first class tickets
4 coach tickets
Step-by-step explanation:
Let x = number of first class tickets bought
Let y = number of coach tickets bought
Given:
A total of 13 people took the trip⇒ x + y = 13
Given:
Total cost of first class tickets = $1180Total cost of coach tickets = $240 Total budget = $11,580⇒ 1180x + 240y = 11580
Rewrite first equation to make y the subject:
⇒ y = 13 - x
Substitute this into the second equation and solve for x:
⇒ 240(13 - x) + 1180x = 11580
⇒ 3120 - 240x + 1180x = 11580
⇒ 940x = 8460
⇒ x = 9
Therefore, 9 first class tickets were bought.
To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:
⇒ 9 + y = 13
⇒ y = 4
Therefore, 4 coach tickets were bought.
Lisa is buying a cover for her patio table. If the table is 5 feet on all sides, what is the area of the cover?
Answer:
25 units squared
Step-by-step explanation:
Area is length times width. The table is in the shape of a square, so 5*5 = 25 units squared.
x² +12x+27 = 0
Find the roots of each equation by factoring
Answer:
x = -9, -3
Step-by-step explanation:
[tex] {x }^{2} + 12x + 27 = 0[/tex]
[tex](x + 3)(x + 9) = 0[/tex]
x = -3, -9
Answer:
-3 and -9
Step-by-step explanation:
Standard quaratic form: a² + bx + c = 0
x² + 12x + 27 = 0
find 2 numbers that multiply to 27 (the c-value), but add to 12(the b-value);
The numbers will be 9 and 3, since;
9 x 3 = 27
9 + 3 = 12
Now we can put these numbers in the standard factor form: (x + p) (x + q);
(x + 9) (x + 3) = 0
Now we can set each part equal to 0 and solve;
x + 9 = 0 => x = -9
x + 3 = 0 => x = -3
So the roots are;
-3 and -9
Hope this helps!