[tex]\rightarrow[/tex]Radius(r) of sphere = 3m
To Find:-[tex]\rightarrow[/tex] Volume of the sphere.
Formula Used:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]
Solution:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]
Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]
____________________________________
Hope it helps you:)
Does anyone know the answer to these? (forgot to put a screenshot on the last one)
Answer:
number 1
1 1000 grams
2 2000 grams
5 5000 grams
8 8000 grams
10 10000 grams
Step-by-step explanation:
now 2
1 grams 1000
3 grams 3000
4 grams 4000
6 grams 6000
9 grams 9000
that is all i know please mark me the brainiest
which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answer:
like fractions have the same denominator. So A is correct
can sombody help me i am bad at math illl give brainlist tho
Answer:
A and C are correct
Step-by-step explanation:
Making the decimal value greater than 4.3 or 4.30 will make the statement correct
Answer:
A
Step-by-step explanation:
incomplete statement
4.3 < 4 ← obviously not true
to make the statement true requires the value in the tenths place to be greater than 3 , for example
4.3 < 4.4 ← is a true statement
ST is parallel to RU in the figure. What is m<3 if m<1 =49
Answer:
49
Step-by-step explanation:
M<1 = M<2 - Corresponding angles are congruent
M<2 = M<3 - Vertical angles
Answer:
6) 49°
7) 30°
Step-by-step explanation:
6)Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.
∠3 = 49° . . . . . . . same as ∠1
__
7)Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.
5x +x = 180°
x = 180°/6 = 30°
a = 30° . . . . . . . . same as x
The sides of an equilateral triangle are all 8 units long. What is the length of the triangle’s altitude?
Answer:
B or 4[tex]\sqrt[]{3}[/tex]
Step-by-step explanation:
I could be wrong as I'm very new to this math but I believe its 4[tex]\sqrt{3}[/tex]
Manny has car insurance and was in an accident with a bill totaling $11,500. The insurance company says he needs to pay the first $1000. What does the $1000 represent?.
Answer:
Deductible
Step-by-step explanation:
you pay the first $1,000 of covered services yourself
$1000 represents the deductible amount.
In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.
The consumer can first set his deductible while purchasing insurance.
Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.
The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.
Hence, the answer is deductible amount.
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$400 interest is earned on a principal of $2000 at a simple interest rat 5% interest per year.for how many year was the principal invested
Answer:
4 Years.
Step-by-step explanation:
Given:Principle ⇒ 2000
Interest ⇒ 400
Rate ⇒ 5%
To Find:Time ⇒ _
Solution:Simple interest ⇒ p * x * t / 100
⇒ 400 = 2000 * 5 * t / 100
⇒ 400 = 200 * 5 * t / 10
⇒ 400 = 20 * 5 * t
⇒ t = 400 / 20 * 5
⇒ t = 40 / 2 * 5
⇒ t = 20 / 5
⇒ t = 4
what is the solution of this equation -12x-7=53
Answer:
x = -5
Step-by-step explanation:
You have to work backwards.
53 + 7 = 60
60 ÷ 12 = 5
Add the negative »»» -5
PLEASEEE HELP LOOK AT PICTURE!!!
Answer:
a 64/3
Step-by-step explanation:
4^3 * 1/3 = 64/3
The number of calories consumed in an oreo cookie is directly proportional
I neeed helpppppppppppppppppppp
Answer:
1: 1; 3: 4; 5: 3
Step-by-step explanation:
when you have a negative exponent it basically is the regular exponent but the number is put over one
so 2^-2 is 1/2^2 which is 1/4
1/4 * 4 is 1
then for three
you have
(1/2)^-1
when the number is a fraction and you have a negative exponent you can put the number on the top
so this is 2
2 * 2 is 4
for the last one
anything times 0 is 1
this means that the answer is 3
Answer:
1. 1
3. 4
5. 3
Step-by-step explanation:
3.y= 2 (1/2)^x where x= -2
1/2=2^-1
(2^-1)^-1
-1×-1
=1
=2^1
2 (2)
=4
1. y=4 (2)^x
2^-2
1/2^2
=1/4
=4×1/4
=1
5.y=3 (1/3)^X
1/3=3^-1
(3^-1)^0
3^0
=1
3(1)
=3
What is the domain of the following {(1,3),(2,7),(3,-1)
Answer: this is a function.
f(x)=y
Step-by-step explanation:
domain -> 1,2,3
values: 3,7,-1
If K is the midpoint of segment JL, JK = 8x + 11 and KL = 14x - 1, find JK.
Answer:
27 units
Step-by-step explanation:
A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...
JK = KL
8x +11 = 14x -1 . . . . . substitute given expressions
12 = 6x . . . . . . . . add 1 -8x
2 = x . . . . . . . . divide by 6
Then the length of JK is ...
8x +11 = 8(2) +11 = 27
JK is 27 units long.
_____
Additional comment
KL = JK = 27 units
JL = 2(27 units) = 54 units
a rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?
Answer:
191
Step-by-step explanation:
do the frame with the pic first that is
28*24=672
next just the pic
24*20=480
next subtract the pic from the frame
672-480=191
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answer: 94 degrees
Step-by-step explanation:
I need it as a linear function thank you
[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]
now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]
In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
please help!
Find the exact volume of this cylinder in terms of 3.16 (Pi). Refer to your STAAR 8th Grade
Math Reference Sheet for the appropriate formula.
A) 45pi cm3
B) 90pi cm3
C) 225pi cm3
D) 900pi cm3
2nd Question (You don’t need to answer if you don’t want too..)
uhh how do I use the formula? do I multiply or??
thank you
Answer:
Question 1 )
given ,
height of cylinder = 9 cm
diameter of cylinder = 10 cm
[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]
now ,
[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]
therefore ,
option (C) is correct.
______________________________________
______________________________________
Question - 2 )
dimensions of the rectangular prism are 2 × 3 × 4
[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]
hope helpful :D
The volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
It is given that the radius of the cylinder is 10 cm and height is 9 cm.
It is required to find the volume of the cylinder.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of a cylinder given by:
[tex]\rm V = \pi r^2 h[/tex]
We have diameter = 10 cm
Radius r = 10/2 = 5 cm
and height h = 9 cm
Volume will be:
[tex]\rm V= \pi \times5^2 \times 9[/tex]
V = 225π cubic cm
For the lateral surface area = 2h(l+b)
= 2×3(4+2)
= 36 square cm
Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
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Write the following decimals in expanded form:
a) 0.75
b) 245.07
c) 36.85
d) 3.74
Answer:
a ) 0.75 = 0.70 + 0.05
b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07
c) 36.85 = 30+6 + 0.80 + 0.05
d) 3.74 = 3+ 0.70 + 0.04
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Write the following decimals in expanded form:
a) 0.75
0.70 + 0.05
b) 245.07
200 + 40 + 5 + 0.07
c) 36.85
30 + 6 + 0.8 + 0.05
d) 3.74
3 + 0.7 + 0.04
Hope this helps!
If RV=w and SU=w–30, what is the value of w?
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV, then
SU = RV , so
w - 30 = w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
What is the mode of the data set?
8
9
10
5
Answer:
8
Step-by-step explanation:
It has the highest frequency
Choose the value of c to form a perfect-square trinomial. X2 8x c -8 4 -4 16.
The value of c forms a perfect square of expression x² + 8x + c is 16. thus option D is correct.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
It is given that x² + 8x + c
So, value of c to form a perfect-square trinomial = (1/2 b)²
= (1/2 × 8)²
= 4²
= 16
Thus the value of c forms a perfect square of expression x² + 8x + c is 16.
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Evaluate each power.
a. (−7)0 b. (43)0 c. 10 d. (0.5)0
Answer: The answer is two
Step-by-step explanation:
100 points!!! please help with this math!!!
Answer:
Height = 9 cm
Volume = 243 cm³
Surface area = 270 cm²
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.
The height of the prism is also called the length, and is the measure of the length that connects the two bases.
So for this prism the height is 9 cm.
Area of the base = (6 × 3) + (3 × 3)
= 18 + 9
= 27 cm²
Volume of a prism = area of the base × height
= 27 × 9
= 243 cm³
Total surface area = (2 × base area) + side areas
= (2 × 27) + 2(6 × 9) + 4(3 × 9)
= 54 + 108 + 108
= 270 cm²
What is the solution to the equation 6 m = 60?
m = 10
m = 50
m = 66
m = 360
Answer:
[tex]\displaystyle m = 10[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\sf{m=10}[/tex]
Step-by-step explanation:
The value of m must be found from one side of the equation in order to solve this problem.
6m=60
First, divide by 6 from both sides.
[tex]\sf{6m=60}[/tex]
[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]
Then, solve it.
[tex]\boxed{{\sf{m=10}}}[/tex]
Therefore, the correct answer is m=10.
I hope this helps you! Let me know if my answer is wrong or not.
Micheal is planting a garden in the shape of a right triangle. He wants 4 plants for each square meter area. How many plants does Michael want in the garden?
PLEASE answer this today because it is due tomorrow
Hence, required answer is 336
See the picture for the solution
I do not understand this
Answer:
D. 2 (1/3) hours
Step-by-step explanation:
'Of' means multiplication, so we are going to multiply
3 (1/2) x (2/3) = 2 (1/3)
or
3.5 x 0.66 = 2.333
I hope this helps!
Mrs. Watson has 30 desks in her math class, each shaped like the trapezoid shown below. She plans to cover each one with bulletin board paper for a project. What is the minimum amount of paper she will need?
Answer: 12,888 in^2 (inches squared)
Step-by-step explanation:
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21
PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)
The values of the length of the missing sides of triangle is x = 7√2 and y = 7.
What are special triangles?Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.
One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.
From the given figure we observe that the two angles are 45 degree and 90 degree.
Using the angle sum property we have:
45 + 90 + third angle = 180
third angle = 45 degrees.
The triangle is thus a 45-45-90 triangle.
The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.
Here, the angle corresponding to 45 is 7.
Thus, y = 7 and x = 7√2.
Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.
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