The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of the cone is 12cm.
i) Calculate the volume of the solid.
ii) Calculate the total surface area of the solid.
Answer:
575.8 cubic cm
Step-by-step explanation:
V(cone) = 1/3· π · r² · h
V = 1/3 · π · 25 · 12
V = 4(25)π or 100π = 314
V(half-sphere) = (4/3 · π r³)/2
V = (4/3π · 125) = 261.8
Percent of Discount
Sale Price
$120
80%
Answer:
$96
Step-by-step explanation:
Answer:
The final price after deducting the percent of discount would be $24.
An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected?
Answer:
150,000.
Step-by-step explanation:
Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:
0.016 = 24
100 = X
100 x 24 / 0.016 = X
2,400 / 0.016 = X
150,000 = X
Thus, the total number of cameras that were inspected is 150,000.
what is the surface area of this cone
Answer:
14
Step-by-step explanation:
solve 3/5-(1/6+5/18)
Answer:
7/45
Step-by-step explanation:
IF U NEED THE STEPS LEMME KNOW
An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.
Write a System of Equations that represents the 2 plans
For which months is Plan A the less expensive option? For which months is Plan B
the less expensive option?
Answer:
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months
Step-by-step explanation:
x represents months
Plan A : f(x) = 25 + 8x
Plan B : f(x) = 5 + 12x
The equilibrium is when both of these functions have the same value
25 + 8x = 5 + 12x
4x = 20
x = 5
Now we compare these two plans before the 5 months,
e. g. when x = 2
The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$
The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$
Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.
Make me the brainliest ;)
1. (07.01 LC)
Look at the triangle:
What is the value of sin xº?
A) 12/13
B) 13/5
C) 13/12
D) 5/13
Answer:
D) 5/13
Step-by-step explanation:
Sin x = Opposite / Hypotenuse
Opposite side length = 5 cm
Hypotenuse length = 13 cm
Sin x = 5/13
Use the net to find the approximate surface area of the cylinder to the nearest square meter.
Answer:
Step-by-step explanation:
radius r of cylinder = 7
circumference of cylinder = 2πr = 14π meters.
lateral area of cylinder = 14π×11 = 154π m². This is represented by the rectangle.
area of top = πr² = 49π m²
area of bottom = area of top = 49π m²
total surface area = lateral area + 2(top area) = 154π + 2×49π = 252π ≅ 792 m²
P=D•W what does this mean in a formula
Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }
Answer:
last one, the same X cant have more than one Y.
The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choice. Write a conjecture that relates the result of the process to the original number selected. Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract 2 from the quotient.
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: [tex]88 * 8 = 704[/tex]
Add 88: [tex]704 + 88 = 792[/tex]
Divide by 44: [tex]792/44 = 18[/tex]
Subtract 2: [tex]18 - 2 = 16[/tex]
Second: 10
Multiply by 88: [tex]88 * 10 = 880[/tex]
Add 88: [tex]880+88=968[/tex]
Divide by 44: [tex]968/44=22[/tex]
Subtract 2: [tex]22-2=20[/tex]
Third: 5
Multiply by 88: [tex]88*5 = 440[/tex]
Add 88: [tex]440+88=528[/tex]
Divide by 44: [tex]528/44=12[/tex]
Subtract 2: [tex]12-2=10[/tex]
Fourth: 2
Multiply by 88: [tex]88*2=176[/tex]
Add 88: [tex]176+88=264[/tex]
Divide by 44: [tex]264/44=6[/tex]
Subtract 2: [tex]6-2=4[/tex]
On a general terms:
Let the number be x.
Multiply by 88: [tex]88x[/tex]
Add 88: [tex]88x + 88[/tex]
Divide by 44: [tex]\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2[/tex]
Subtract 2: [tex]2x + 2 - 2 = 2x[/tex]
Notice that for every input x, the result is 2x
plis ayudaaaaaa que tenga explicación y respuesta pero ayuda plisssss
Answer:
x=30
Step-by-step explanation:
600/20=30
Evaluate the expression.
2
3
(
−
7
)
+
2
3
(
−
5
)
3
2
(−7)+
3
2
(−5)
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!
Can someone please help me with the last three?? I don’t know what I keep doing wrong.
Answer:
1. 78.22%
2. 0.342%
3. 21.77%
Step-by-step explanation:
To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.
1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)
2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)
3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)
Heres a challenge!! Marking most Brainly:)))
Answer:
(30, 90) is a viable solution
(50, 160) is a nonviable solution
Step-by-step explanation:
Replace the ? With one of the following symbols
Answer:
C. 2 +3 = 4 + 1
Step-by-step explanation:
Do any of you know how to rewrite the equation
X+y=3
Into something where it has x= or y= instead of it =3?? I have to graph it on a graph but don’t know how to do it with the equation set up like this.
How long will it take John to walk 9 miles if he is walking at a speed of 3 miles per hour?
A.
5 hours
B.
4 hours
C.
9 hours
0 O
D.
3 hours
Answer:D. 3 hours
Step-by-step explanation:
The answer is D.
But I doubt he'll be walking for three hours straight.
This is hard please solve it for brainly.
Answer: C
Step-by-step explanation: you just multiple 40 by 4
Answer:
C) 160
Step-by-step explanation:
multiply each side by 40
the 40 from x/40 is eliminated and then you are left with x = 160
Help please? This is due in a few minutes.
Answer:
The mean is 33
Step-by-step explanation:
11 + 22 + 33 + 44 + 55 = 165.
165 / 5 = 33.
-3x + 7 = 1
what dose x represent
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
C. How long is 10% of a 24-hour day?
Answer:
2.4 hours
Step-by-step explanation:
Answer:
10% OF a 24 hour day is 2.4 hours
Step-by-step explanation:
10x24/100= 2.4
−4x+7y=3 what are the intercepts!!!!!
Help please please please please
Answer:
225000
Step-by-step explanation:
What is the fraction form of Sin 50° ÷ Sin 30°
Answer:
my insta is _luhbhabie_
Step-by-step explanation:
factorise completely 4ab+6ac-6bd-9cd
Answer:
(2b+3c) × (2a-3d)
Step-by-step explanation:
plz mark as brainliest
The factors of 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
What are factors?Factors are those numbers or expressions which when together be multiplied results the same numbers whose factors they are. It can be found for equations and expressions as well. It includes those number which divides the given number to get another factor value.
How to find factors?We have been given expression 4ab+6ac-6bd-9cd and we have to find the factors of the expression.
Factorization can be done as under:
Expression=4ab+6ac-6bd-9cd
=2a(2b+3c)-3d(2b+3c)
[we have to take common expression from two terms like we did above]
=(2a-3d)(2b+3c)
Hence the factors of expression 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).
Learn more about factorization at https://brainly.com/question/25829061
#SPJ2
Leo has three pieces of ribbon. One piece is 4 yards long, another piece is 5 feet long, and the last piece is 10 inches long. How much ribbon does Leo have in all?
Is there any potential areas of bias or error due to the wording of this question, "Did you continue to use
marijuana after you realized using it was causing you problems with family, friends, or people at work or school?"
Evaluate 2(s+t)³-6 when s =3 and t = 2?
Answer:
244
Step-by-step explanation:
We will see that the evaluated expression is equal to 244.
How to evaluate an expression?Evaluating an expression just means that we need to replace the variables by the wanted numbers.
Here we need to evaluate:
2(s+t)³-6
In t = 2 and s = 3, replacing these in the expression we get:
2(3+2)³- 6 = 2*(5)³ - 6 = 2*125 - 6 = 244
So the evaluated expression is equal to 244.
If you want to learn more about evaluating, you can read:
https://brainly.com/question/4344214
Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?
A triangle is formed by Broadway, sixty-fifth street, and central park west. Broadway is the hypotenuse.
0.68 miles
0.81 miles
1.15 miles
1.44 miles
Answer:
b
Step-by-step explanation: