Given:
Volume of a right circular cone = 16 cubic inches
Radius of the cone = 1.5 inches.
To find:
The height of the cone.
Solution:
The volume of a cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.
[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]
[tex]48=(3.14)(2.25)h[/tex]
[tex]48=7.065h[/tex]
Divide both sides by 7.065.
[tex]\dfrac{48}{7.065}=h[/tex]
[tex]6.794=h[/tex]
[tex]h\approx 7[/tex]
Therefore, the height of the cone is 7 inches.
For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answer:
1) 3n = 15
Step-by-step explanation:
the sum of twice a number and 11 is equal to 55
Answer:
Equation: 2x+11=5
Solving the equation: x=22
Step-by-step explanation:
The sum of twice a number is 2x+
The sum of twice a number and 11 is 2x+11
The sum of twice a number and 11 is equal to 55 is 2x+11=55
Solving the equation: 2x+11-11=55-11
2x=44
2x/2=44/2
x=22
hey i kinda need help on this question
(could you do a step by step method i think it would help a lot)
Answer:
27.6°
Step-by-step explanation:
6.5²-6² = 6.25
✓6.25 =2.5
^^^ that was Pythagoras theorem
9+2.5 = 11.5
23-11.5 =11.5
6 = height =opposite
11.5 = base = adjacent
sohcahtoa
use Tan
Tan-¹(6/11.5)
gives the angle CDA = 27.5528...
27.6 (1d.p)
There are 5 trucks for every 8 cars in a parking lot. If there are a total of 112 cars in the parking lot. How many trucks are there?
the
Answer:
There are 70 trucks
Step-by-step explanation:
trucks : cars:
5 8
Take 112 cars and divide by 8 cars
112/8 =14
We need to multiply each number by 14
trucks : cars:
5*14 8*14
70 112
There are 70 trucks
Please please please please please please help me a b c or d
Answer:
35 degree angle the line passes through the 30 and 40
Step-by-step explanation:
so c
can u please help to warn: No links or I will report thank you, and have a blessed day!!
Answer:
1.) 1/4
2.) 5/12 i am not sure about this one
Step-by-step explanation:
1.) Chance of tales:
Chance of even number: 3/6 or 1/2
Multiply: (1/2)(1/2) = 1/4
Someone help! I'll give brainslist
Answer:
square root of 202
Step-by-step explanation:
9^2+11^2=x^2
81+121=202
Find the value of x in the triangle shown below.
24 74
Answer:
x =82
because 180 - (24 + 74)= 82
621.72 round to the nearest whole number
Answer:
622
Step-by-step explanation:
Please mark brainliest
Answer:
Hi! The answer to your question is 622
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
pythagorean theorem
12^2 + 5^2 = PQ^2
144 + 25 = 169
[tex]\sqrt{169}[/tex] = 13
answer = 13 units
Select the correct answer.
A news website is interested in knowing which other sites its users visit for their technology news, so it sends an email survey to 10,000 of its
registered users selected at random. For what type of bias are the survey results at risk?
OA. The survey results are not at risk for any blas.
OB. The survey results are most at risk for undercoverage.
OC. The survey results are most at risk for nonresponse blas.
OD
The survey results are at risk for nonresponse blas and undercoverage.
Answer:
its c. The survey results are most at risk for nonresponse bias. please mark me the brainliest :)
Step-by-step explanation:
Answer:
Give other guy brainliest!!
Can someone help explain this to me?
Step-by-step explanation:
A. y-5=-4x+4
y=-4x+4+5
y= -4x +9
(0,9)(9/4,0)
A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the population be after 9 years?
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
Evan has a book to read that has 144 pages. If he has 12 days to finish the
book, how many pages must he read each day?
Answer:
12 pages a day
Step-by-step explanation:
144/12=12
Kenny bought 3 pounds of Beef on sale for $1.25 per pound at HEB. If Kenny gave the cashier $10.00, how much change would he receive from this purchase?
Answer:
Step-by-step explanation:
A number is decreased by 15% and the resulting number is then increased by 20%. That final number is what percent of the original number?
Answer:
The final final number becomes 102 % of the original number
Step-by-step explanation:
Let the initial number be 100
After decreasing 15%, the new number is 100-15% of 100 = 85
The resulting number is then increased by 20%. The new number will be
85 + 20% of 85 = 85 + 17 = 102
The final final number becomes 102/100 * 100 percent of the original number
The final final number becomes 102 % of the original number
yo i need help on my exit ticket please i don’t need no links i just need the answer pleaseeeee
Answer:
B
Step-by-step explanation:
V=[tex]\pi r^{2} h[/tex]
V=3.14*[tex](16/2)^{2}[/tex]*3
V=3.14*[tex]8^{2}[/tex]*3
V=3.14* 64*3
V=602.88 which rounds up to 602.9
The larger of 2 numbers is twice the smaller. If the larger is x, what is the smaller
Answer:
Step-by-step explanation:
x/2
Simplify .8 Times Square root of 100y^16
Answer:
8y^8
Step-by-step explanation:
math
what is the circumstance of a bicycle tire with a radius of 11 inches?
Circumference = 2 x r x pi
Circumference = 2 x 11 x pi
Circumference = 22pi or 69.08 inches depending on what format the answer is supposed to be in.
Answer:
Solution :-Circumference = 2πr
Circumference = 2 × 3.14 × 11
Circumference = 22 × 3.14
Circumference = 69.08 in
[tex] \\ [/tex]
42 - 35 = 8 - 12 + t
What does t mean?
8. (1 point)
A kayaker estimates the angle of elevation to the top of a cliff to be 20°.
He paddles closer to the cliff and the angle of elevation changes to 45°.
How you would determine the distance to the cliff, if it is possible?
a.
not possible
b. the cosine law
c. primary trigonometric ratios
d. the sine law
Answer:
a. not possible
Pls help ASAP!!!!! plss anyone!!!!
Answer:
1)
a = 117°
c = 117°
d = 63°
2)
c = 87°
3)
a = 60°
b = 30°
Pythagorean
Diego props a 10ft ladder against the wall how high up will the ladder reach if the foot of ladder is 5 feet away from the wall ?
Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
Finding X in triangle
Answer:
x is 5 cm as the entire base is 10 cm, so 10/2 = 5
Como repartir 5,20 dolares en cuatro partes iguales?
Answer:
Por ejemplo, podrías utilizar la división para determinar cómo repartir 40 ... 15 ÷ 5 = 3. Podrías también usar la recta numérica para modelar ésta división. ... ¿Cuáles de las siguientes expresiones representan dividir $56 en partes iguales entre 7 ... “5, 10, 15, 20, 25, 30. Debo saltar 6 veces para llegar a 30.” 30 ÷ 5 = 6.
Step-by-step explanation:
What is the median of the data set?
17, 18, 20, 22, 24, 25, 30
A. 17
B. 30
C. 7
D. 22
Please help I will give brainiest!!!
Answer:
D. 22
22 is in the middle
There are three numbers on both sides of 22 so it makes it even and 22 ends up being in the middle.
Hope this helps
find the area of the circle r = 3 ft
Answer:
9π ft² or approximately 28.26 ft²
Step-by-step explanation:
The area of a circle is A=πr².
Plug 3 in for the radius.
A=π(3²)
A=9π ft²,
or using 3.14 for pi,
Approximately 28.26 ft².
Answer quick please!
Answer:
25%
Step-by-step explanation:
Mayne is 28 years old. She is 12 years older than 2/3 of Laurels age. Which equation can be used to find Laurels age, a?
Answer:
B. ⅔a + 12 = 28
Step-by-step explanation:
Here are the options to this question
) ⅔ + 12a = 28
b) ⅔a + 12 = 28
c) ⅔a + 12a = 28
d) -⅔a + 12 = 28
Mayne's age can be represented with this equation =
28 = 12 + 2/3a
where a = laurels age