Given:
Radius of half sphere and cone = 6 cm
Height of cone = 12 cm
To find:
The volume of composite figure that is made up of a cone and a half sphere.
Solution:
Volume of half sphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where r is the radius of the half sphere.
Putting [tex]\pi =3.14, r=6[/tex], we get
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of a cone is:
[tex]V_2=\pi r^2h[/tex]
Where r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=6, h=12[/tex], we get
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
Volume of the composite figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=452.16+1356.48[/tex]
[tex]V=1808.64[/tex]
Therefore, the volume of a composite figure is 1808.64 cubic centimetres.
Note: All options are incorrect.
Answer: A
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y = 5(x - 2)(x - 5)
Answer:
5x² - 35x + 50
Step-by-step explanation:
distribute 5 to (x-2) to get:
5x-10
now multiply (5x-10) and (x-5) to get:
5x² - 25x - 10x + 50
combine like terms to get:
5x² - 35x + 50
What is Ten Divided by Twelve point Fifty
Answer:
0.8
or
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
10 ÷ 12.50
10 ÷ 12.5
0.8
Answer:
10 divided by 12.5 = 0.8 is your answer
1.
If b is bigger than a, what can you tell me about angle A?
Answer:
a is smaller than b
Step-by-step explanation:
Answer:
a smaller then b that's all I know
Annika's class raised $800 by selling $5 and $10 movie gift cards. The class
sold a total of 115 gift cards. How many of each type of card did the class
sell?
Answer:
70 $5 movie gift cards and 45 $10 movie gift cards
Step-by-step explanation:
I need help I don’t understand how I’m supposed to do this
The school cafeteria is offering a choice of two side dishes at lunch today, either watermelon or french fries. The ratio of the number of orders of french fries to the total number of side dishes ordered is 9:14.
Which of the following statements is correct about side dishes ordered?
A
There are 9 orders of french fries for every 14 orders of watermelon.
B
There are 5 orders of watermelon for every 9 orders of french fries.
C
There are 14 orders of french fries for every 9 orders of watermelon.
D
There are 5 orders of french fries for every 9 orders of watermelon.
Answer:
A,
Step-by-step explanation:
French fries to side dishes
9 french fries to 14 orders of watermelon(side dish)
Help plz..And No links!! I repeat No links!!
Answer:
I dont know
Step-by-step explanation:
please help.. don't get it
What is the interquartile range of the data set 115, 98, 118, 102, 96, 90, 125, 94, 85, 100, 104
Answer:
21
Step-by-step explanation:
1. Re-order numbers from low to high
85, 90, 94, 96, 98, 100, 102, 104, 115, 118, 125
2. Find Q1 and Q3: they are the middle number of top and bottom half of the data
Q1 is 94, Q3 is 115
3. Find IQR
IQR = Q3 - Q1 = 115 - 94 = 21
Javion drank 7/8 quart of juice in two days. He drank 1/4 quart of juice yesterday. How much did he drink today?
Step-by-step explanation:
7/8 - 1/4 = 5/8
__z_________z_
What is the surface area
Answer:
1190 mm²Step-by-step explanation:
The surface area of a prism is a sum of areas of all of its faces
2×(¹/₂×16×15) + 2×(17×19) + 16×19 =
= 240 + 646 + 304 = 1190 mm²
Which expressions are equivalent to 2(4f+2g) ?
Answer:
B, C, D
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
2(4f + 2g) = 8f + 4g
C: 8f + 4g
D: 4(2f + g) = 8f + 4g
E: 4f + 4f + 4g = 8f + 4g
can someone help me im literally so confused
Answer: 65536a^4 b^2
Step-by-step explanation:
Given
mZLON is a straight angle.
MZLOM = 4x + 30°
mZMON = 8x + 90°
Find mZMON:
Help pls
Step-by-step explanation:
these are supplementary angles
LOM + MON = 180
(4x + 30) + 8x + 90 = 180
12x + 120 = 180
solve for x and then substitute into 8x +90
Brooklyn bought a plant and planted it in a pot near a window in her house. Let H
represent the height of the plant, in inches, t months since Brooklyn bought the
plant. The table below has select values showing the linear relationship between t and H. Determine the initial height of the plant when it was purchased.
Answer:
18
Step-by-step explanation:
what i did was was water the plant and give it sun
Can someone be my tutor I really need some help :)
Answer:
depends on what you need helps with
have a good day :)
Step-by-step explanation:
Help me find the answer
What is the product of 3x(x2 +
+4)?
O x2 + 3x + 4
3x3 + 4
3x3 + 12x
0 3x² + 12x
Answer:
The answer is C
Step-by-step explanation:
You might need: Calculator A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?
Answer:
3.6 meters
Step-by-step explanation:
18/10 x 2 = 3.6
so, 18 centimeters represents 3.6 meters
I need help lol ,forgot how to do this
Answer: i don get it
Step-by-step explanation:
Answer:
8.1
Step-by-step explanation:
Help…………….^^^^^^^^^^^^^^^^^^^
[tex]8a - 2b + 5a + 1b - 6 \\ \\ = 13a - 1b - 6 \\ \\ \huge \fbox{Option C} [/tex]
[tex]Hope This Helps You ❤️[/tex]
Answer:
C) 13a - 1b - 6
Step-by-step explanation:
8a + 5a = 13a
-2b + 1b = -1b
-6 is fine on its own.
Put it all together: 13a -1b -6
Hope this helps, good luck! :D
Find the value of R and S
Answer:
R ≈ 17.7
S ≈ 19.0
Step-by-step explanation:
The angles of the triangle are 90, 43, and 47. Given these we can apply the law of sines.
26/sin(90) = s/sin(43), giving you 17.73195, rounding to 17.7.
26/sin90 = r/sin(47), giving you 19.01519, rounding to 19.0.
what is angle 1? i really appreciate the help
Answer:
53°
Step-by-step explanation:
[tex]m \angle1 = \frac{1}{2} (50 + 56) \degree \\ \\ = \frac{1}{2} \times 106 \degree \\ \\ = 53 \degree[/tex]
GIVING BRAIN TO CORRECT ANSWER!!
The table shows the heights of 10 randomly selected second-grade students.
Helght (Inches)
44 45 47 49 48 48 49 50 48 52
Based on the data, select the most reasonable prediction about the height of second-grade students.
O A. The typical second-grade student is less than 45 inches tall.
B. The typical second-grade student is about 45 inches tall.
C. The typical second-grade student is more than 50 inches tall.
D. The typical second-grade student is about 48 inches tall.
Answer:
Answer = D
Step-by-step explanation:
If you add all of the heights up you get 480. divide that by ten (because there were 10 students whose height was taken) then you get 48. therefore, the typical second-grade student is about 48 inches tall.
I hope this helps have a good day :)
The typical second-grade student is about 48 inches tall.
What is mean?'Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.'
According to the given problem,
Given data = { 44, 45, 47, 49, 48, 48, 49, 50, 48, 52 }
Sum of the given data = 44 + 45 + 47 + 49 + 48 + 48 + 49 + 50 + 48 + 52
= 480
Average of the given heights = [tex]\frac{480}{10}[/tex]
= 48
Hence, we can conclude, The typical second-grade student is about 48 inches tall since the average of the given data is 48.
Learn more about mean here: https://brainly.com/question/22871228
#SPJ2
I need help no links or files brainly will remove it
Finding a final amount in a word problem on exponential growth or decay
A principal of $3300 is invested at 8% interest, compounded annually. How much will the investment be worth after 9 years?
Use the calculator provided and round your answer to the nearest dollar.
Step-by-step explanation:
Use the formula for compound interest
f/p: f =p(1+i)^n
p = 3300
i =8% = 0.08
n = 9 years
A = p(1+r)^t
A = 3300(1+0.08)⁹
A = 3300× 1.99
A= 6596.71 dollar ~ 6597 dollar.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 75, 15, 3 find the 6th term
Answer
0.024
Step-by-step explanation:
1-75
2-15
3-3
4-0.6
5-0.12
6-0.024
Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?
It's due in 5 minutes please help
Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.
Francis: 86, 84, 90 ---> 84,86,90
Jillian: 84, 90,86---> 84,86,90
I hope this helps, have a great day!
If the circumference of a circle is 84.5 ft, find the radius.
Answer:
13.448, rounded off: 13.5 ft
Step-by-step explanation:
[tex]r=\frac{C}{2\pi }[/tex]
Where r = radius, C = circumference.
[tex]r=\frac{84.5}{2\pi } =13.448[/tex] = 13.5 ft
Answer:
r = 13.5 ft
Step-by-step explanation:
The circumference of a circle of radius r is C = 2(pi)r.
Here, C = 84.5 ft = 2(pi) r, or
C = 84.5 ft = 6.28r
Dividing both sides by 6.28 results in the value of r:
r = 84.5 ft / 6.28 = 13.5 ft
$384 with a discount of 6.5%
Answer:
$359.04
Step-by-step explanation:
384 x .935 = 359.04
Solve the equation for all real solutions. 9q^2 - 11q + 2 = -3q^2
Answer:
two solutions at 2/3 and 1/4
Step-by-step explanation:
12q² - 11q + 2 = 0
(3q - 2)(4q - 1) = 0
3q = 2
q = 2/3
4q = 1
q = 1/4