Answer:
Step-by-step explanation:
the volume of a sphere is
V= (4/3)*3.14*r^3
89,110=4/3 * 3.14* r^3
89110/3.14=4/3*r^3
28,378.98=4/3*r^3
(3*28,378.98)/4=r^3
21,284.23=r^3
r=[tex]\sqrt[3]{21284.23}[/tex]=27.71
d=2*r=55.42 cm rounded is 55 cm
The diameter of the sphere is 55.4 cm where its volume is given as 89110 cm³. This is obtained by equating the volume of the given sphere with the standard formula, we get the radius and we know that twice a radius is the diameter.
The volume of the sphere:The standard formula for the volume of a sphere is given as
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
where r is the radius of the sphere
Diameter:The diameter of a sphere is twice its radius i.e.,
d = 2r
Calculating the diameter for the given sphere:It is given that volume of the sphere V = 89110 cm³
On substituting,
[tex]89110 = \frac{4}{3}\pi r^{3}[/tex]
⇒ [tex]r^{3}=\frac{267330}{4\pi}[/tex]
⇒ [tex]r^{3}=21273.44[/tex]
⇒ [tex]r=\sqrt[3]{21273.44}[/tex]
⇒ r = 27.708
Then,
Diameter d = 2 × r
= 2 × 27.708
= 55.41
Rounding the obtained value to the nearest tenth results in 55.4
Therefore, the diameter of the given sphere with a volume of 89110 cm³ is 55.4 cm
Learn similar problems of sphere here:
https://brainly.com/question/10171109
#SPJ2
What is the range of the data set? {43.2, 46.8, 44.5, 46.8, 44.2, 41.9, 45.8, 46.9, 41.2, 46.8, 44.1}
Answer:
the range of this answer is 5.6
Name the relationship between the angles below. What is the sum of the angles? Explain how you would find the missing angle. Explain each step. (replace with 120 & x)
Answer:
would find the missing angle. Explain each step. (replace with 120 & x)
Name the relationship between the angles below. What is the sum of the angles? Explain how you would find the missing angle. Explain each step. (replace with 120 & x)
Step-by-step explanation:
Name the relationship between the angles below. What is the sum of the angles? Explain how you would find the missing angle. Explain each step. (replace with 120 & x)
All the sides of a quadrilateral measure 5 cm. What else must be true about this shape? Select all that apply. a.The diagonals are congruent. b.The diagonals are perpendicular. c.Consecutive angles are congruent. d. Opposite angles are congruent.
Answer:
a.The diagonals are congruent.
d. Opposite angles are congruent.
Step-by-step explanation:
From the above question, we are told that:
All the sides of a quadrilateral measure 5 cm.
This means this quadrilateral is a square.
The properties of a square states that:
1) Opposite sides of a square are equal each other or congruent.
2) Opposite angles are equal each other or congruent
3) Consecutive angles of a square are supplementary angles which means that they add up to 180.
4) A square has two diagonals and they are congruent or equal to one another.
Therefore, the correct options are options a and d
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
Solve the system using elimination 4x+5y =2 -2x+2y=8
PLEASE HURRY I NEED THIS DONE IN 20 MINUTES
Answer:
(x,y)=(7/9,20/9)
Step-by-step explanation:
there you go
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°
Sebutkan nama sisi rusuk dan sudut dari bangun ruang di bawah ini
Answer:
could u translate it to english?
Step-by-step explanation:
Tony graphed the line y = 52x + 2 on the coordinate plane. Which line did Tony graph?
Answer:
Slope:
52
y-intercept:
(
0
,
2
)
x
y
−
1
26
0
0
2
Step-by-step explanation:
sorry my thing is acting weird but try to solve it out ??
Let x represent the number of television show episodes that are taped in a season. Enter an expression for the number of episodes taped in 7 seasons.
Answer:
7x
Step-by-step explanation:
11=p-7-3p
Please help me
Answer:
p=-9
Step-by-step explanation:
11= p-7-3p
you can slove p-3p now which is -2p, then add -7 to both sides.
18=-2p
then divide by -2
p=-9
Robin can run 1.71 kilometers in 10 minutes. How far can she run in 1.5 hours?
Answer:
I think is 15.39 kilometers
Step-by-step explanation:
1 hour=60 minutes +.5 hours =90 minutes = 9 x 1.71 = 15.39
A circle has a radius of 6 centimeters. If you copy the circle using a size factor of 75%, what will the radius be of the new circle
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°It says to simplify it
Answer:
2v^9
I think this is the answer, I'm sorry if it's wrong :(
What is the measurement of angle A, side b, and side a
Answer:
a=26.039, b=58.021, c=42, A=24 degrees, B=115 degrees, C=41 degrees
Step-by-step explanation:
trig
Answer:
Step-by-step explanation:
Sara buys a sweater at a department store. The sweater costs $3030. The store is having a 2525% off sale on everything in the store.
Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.
Answer:
25% of 3030 is 757.5, so basically she is saving 757.5 dollars
HELP!!!! IT'S DUE TONIGHT!!!!!!!!!!!!
help me, please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
The first one is the answer
Solve for x, please!
Answer:
45
Step-by-step explanation:
Answer:
30 + 70 + 2x-10=180
90+2x=180
2x=180-90
x=90/2
x=45
X=45
Hope it helps
A window washer on a ladder looks at a nearby building 102 ft away, noting that
the angle of elevation to the top of the building is 13.7° and the angle of
depression to the bottom of the building is 4.4°. How tall is the nearby building?
ok
The building nearby is blank feet tall.
(Round the final answer to the nearest foot as needed.
Answer:
about 32.71 feet
Step-by-step explanation:
see attached picture
The height of the building is 32.7 ft.
Given that, a window washer on a ladder looks at a nearby building 102 ft away, noting that the angle of elevation to the top of the building is 13.7° and the angle of depression to the bottom of the building is 4.4°.
We need to find the height of the building.
How do you find height and distance?So if we know the height of the object and the linear distance, we can easily find out the angle by trigonometric formula. It is given by tan = Height / distance.
Now, tan 4.4°=x/102
⇒x=7.84 ft
tan 13.7°=y/102
⇒y=24.86 ft
Height of the building=x+y=7.84+24.86=32.7 ft
Therefore, the height of the building is 32.7 ft.
To learn more about trigonometric ratios visit:
https://brainly.com/question/23130410.
#SPJ2
2,3,10,17
What number comes next?
Answer:
24 then 31
Step-by-step explanation:
hope this helps! :]
Answer:
hi
Step-by-step explanation:
i think 18
2+1 is 3
3+7 is 10
10+7=17 and 17+1 is 18
hope it helps
have a nice day
bye
A triangle has angle measurements of 72°, 101°, and 7° What kind of triangle is it?
Answer:
it is a scalene triangle coz all angels are different.
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
Identify the term that completes the equation.
XZ2=(WZ)(?)
Answers:
WZ
XW
XZ
YZ
Answer:
1: b. YZ, see "geometric mean theorem" in Wikipedia
2: a. sin Y = 7.4/10.9 ≈ 0.68, sine = opposite/hypotenuse
3: c. tan P = 8.5/16 ≈ 0.53, tangent=opposite/adjacent
4: a. AC = 11.7, sine = opposite/hypotenuse, sin(43) = 8/AC
5. KM = 10.68 use Pythagorean Theorem
measure of angle M = 35 degrees, use definition of tangent
measure of angle K = 55 degrees, M and K are complementary angle
Step-by-step explanation:
i hope this help
The term that completes the equation is YZ.
Option D is the correct answer.
We have,
From the figure,
∆WXY and ∆XYZ
∠WXY = ∠XZY = 90
∠ZYX = ∠XYW (common angle)
∆WXY ≅ ∆XYZ
And,
∆WXY and ∆WXZ
∠WXY = ∠WZX = 90
∠YWX = ∠XWZ (common angle)
∆WXY ≅ ∆WXZ
Now,
From (1) and (2),
∆XYZ ≅ ∆WXZ
This means,
The corresponding sides are proportional.
We can write as,
YZ/XZ = XZ/ZW
XZ² = WZ x YZ
Thus,
The term that completes the equation is YZ.
Learn more about triangle congruency here:
https://brainly.com/question/12413243
#SPJ2
The population of Central Arkansas is 734,622 and is decreasing by 8 per
year.
Answer:
734622-8x
Step-by-step explanation:
P(x)=-0.001x2+3x-1800
Answer:
P=−0.001x+3−1800/x
Step-by-step explanation:
Write the problem as a mathematical expression.
P(x)=−0.001x²+3x−1800/x
Divide each term in Px=−0.001x²+3x−1800 by x.
Px/x=−0.001x²/x + 3x/x + −1800/x
Cancel the common factor of x.
P=−0.001x²/x+3x/x + −1800/x
Simplify each term.
P=−0.001x+3−1800/x
Describe a time when you use math outside of school ( pls I need help with this writing prompt)
Answer:
Counting my money
Step-by-step explanation:
Answer: You use it in gardening if you need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. So even without thinking you are doing math. Measuring skills is always needed, and calculations of the essence when doing something new in the garden. You also use in it the kitchen Every ingredient has to be measured and sometimes you need to multiply or divide to get the exact amount you need.
y+8=x/2 linear or nonlinear
answer : linear
source: trust me people
To become a member of an ice-skating rink, you have to pay a one-time $50 membership fee. The cost of admission to the rink is $6 per visit for members $10 per visit for nonmembers. After how many visits to the rink is it less expensive to be a member than a nonmember?
Answer:
10x=50+6x more than 10
Step-by-step explanation:
can you help me please
Answer:
437.3 ft
Step-by-step explanation:
By sine rule:
[tex] \frac{x}{ \sin(90 - 29) \degree} = \frac{500}{ \sin \: 90 \degree} \\ \\ \frac{x}{ \sin 61 \degree} = \frac{500}{1} \\ \\ x = 500\sin 61 \degree \\ \\ x = 500 \times 0.8746197071 \\ \\ x = 437.309854 \\ \\ x = 437.3 \: ft[/tex]
Answer:
437.3 ftStep-by-step explanation:
ΔA = 90° - 29°
= 61°
sin A = perpendicular ÷ hypotenuse
sin 61° = x ÷ 500 ft
0.8746 = x ÷ 500 ft
x = 500 × 0.8746
x = 437.3 ft
plz follow me