Answer:
42.42in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
Step one
We know that the volume of a cone is
V= 1/3πr²h
Given data
Diameter d= 6 inches
Radius r= diameter/2= 6/2= 3 inches
Height h = 4.5 inches
Step two
Substituting our given data we have
Volume = 1/3*3.142*3²*4.5
V= 1/3*3.142*9*4.5
V= 127.251/3
V= 42.42in³
can someone help me with a series of questions?
Answer:
yes
Step-by-step explanation:
send the questions....
researchers are studying two populations of sea turtles. in population d, 30 percent of the turtles have a shell length greater than 2 feet
Answer:
I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful
Step-by-step explanation:
Question 2: What is a sample space in an event?
A.the total amount of outcomes
B.a list of all the different possible outcomes
C.any random possibilities that you can think of
Answer:
B. I'm petty sure about this one but cant quite put it into words Hoped this helped!!
If 8x−4y=20 and 4x−8y=4, what is the value of x−y
Answer:
x-y=3-1=2
Step-by-step explanation:
[tex]8x-4y=20[/tex] [tex]4x-8y=4[/tex]
[tex]8x=20+4y[/tex] [tex]4(\frac{20+4y}{8})-8y=4[/tex]
[tex]x=\frac{20+4y}{8}[/tex] [tex]\frac{80+16y}{8} -8y=4[/tex]
[tex]x=\frac{20+4}{8}[/tex] [tex]10+2y-8y=4[/tex]
[tex]x=\frac{24}{8}[/tex] [tex]10-6y=4[/tex]
[tex]x=3[/tex] [tex]-6y=4-10[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex]
so x-y=3-1=2
What is the area of the triangle?
Answer:
4
Step-by-step explanation:
The area of a triangle is
A=1/2 bh
Where b is the base and h is the height
A = 1/2 (4)(2)
A = 4
Work out the area of this circle give your answer in terms of pi and state it’s unit
Answer:
what circle
Step-by-step explanation:
Let x and y be real numbers such that x^2 + y^2 = 4(x + y). Find the largest possible value of x.
Answer:
The largest possible value of x is 2 + √8
Step-by-step explanation:
Given;
x² + y² = 4(x + y)
This is an equation of circle
x² + y² = 4x + 4y
x²- 4x + y² - 4y = 0
complete the square by taking half of coefficient of x and y, then add the squares to both sides;
x²- 4x + (-2)² + y² - 4y + (-2)² = (-2)² + (-2)²
factorize
(x - 2)² + (y - 2)² = √8
This circle has its center at (2, 2) with a radius of √8
The largest x-value occurs at the right end of the circle = x value of the center plus the radius = 2 + √8
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps
suppose the landing pad for a helicopter is shaped like a circle with a 35-ft diameter. what is the area of the landing pad?
Answer:
962.11 or 306.25
Step-by-step explanation:
the area of a circle is π(radius)squared
the radius is half of of the diameter which = 17.5
so *17.5 squared is 962.11
What is the surface area of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of PI or use 3.14 for PI and enter your answer as a decimal.
Step-by-step explanation:
S = (2 * pi * r^2) + (2 * pi * r * h)
S = (2 * pi * 4^2) + (2 * pi * 4 * 5)
S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.
In the figure shown below,
DE || AB. What is the length of BE?
A. 24cm
B. 26 cm
C. 33 cm
D. 36 cm
Answer:
DE//AB, applying Thales theorem:
CD/DA = CE/EB
=> EB = DA x CE/CD = 39 x 12/18 = 26 cm
=> Option B is correct
Hope this helps!
:)
Solve for x can someone please answer please help
In triangle ABC and triangle ADE
angle A = angle A (common)
angle ABC = angle ADE
By AA similarity criterion , they are similar
Thus
AB/AD = BC/DE
4/12 = x/12
Thus x = 4
Answer:
4
Please see the photo I added, if you do not understand, specify in the comments...
The number of people who voted for the Green Party in a election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue a Party voters in it’s simplest form.
Answer:
Momentum is how much something wants to keep moving in the same direction. p = m v. p = m v. p = 1500 kg × 28 m/s. p = 42 000 kg m/s. The unit for momentum is
Step-by-step explanation:
what is the length of a 135 arc
Answer:
23561.9449
Step-by-step explanation:
i solved it using the formula :
[tex]2\pi \times r \frac{135}{360} [/tex]
The leading coefficients of 3x^2-3x-4=0
Answer:
3
Step-by-step explanation:
Leading Coefficients are numbers in front of the variable (x in this case) with the largest exponent (2 in this case)
3x^2 where 3 is the number in front of the variable.
At Pizza Time, 2 of the last 20 pizzas sold had pepperoni. What is the experimental
probability that the next pizza sold will have pepperoni?
Write your answer as a fraction or whole number
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
simplify [tex]\frac{2}{20}[/tex] to get [tex]\frac{1}{10}[/tex]
Students were asked to add 0.65 + 12.3 + 0.005 . Tatiana added and go 1.93 as an answer, while Kyree go 19.3 as an answer. Without performing the addition yourself, how do you know that both students meade errors in their work, perhaps in lining up the decimal points.
Answer:
12.955
Step-by-step explanation:
you know they made errors because between all the numbers, the whole number is 12 and the rest are 0, which means that the whole number part cannot be less than 12. While for the decimal part the largest number of decimal places is 3, and that what your final answer has to have. I hope this helped :)
2
.
Toru has $80 to pay for dog grooming. The fee is $72 plus 7.25% tax.
Does he have enough money? Explain
We have been given that Toru has $80 to pay for dog grooming. The fee is $72 plus 7.25% tax. We are asked to determine whether Toru has enough money for grooming or not.
The total charges for grooming would be $72 plus 7.25% of $72.
[tex]\text{Total charges for grooming}=\$72+\$72\times \frac{7.25}{100}[/tex]
[tex]\text{Total charges for grooming}=\$72+\$72\times0.0725[/tex]
[tex]\text{Total charges for grooming}=\$72+\$5.22[/tex]
[tex]\text{Total charges for grooming}=\$77.22[/tex]
Since total cost of grooming is $77.22 and Toru has $80 to pay for grooming, therefore, Toru has enough money for grooming.
A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?
Answer:
17 feet
Step-by-step explanation:
I used the Pythagorean theorem to answer this question.
a^2 + b^2 = c^2
15^2 + 8^2 = c^2
225 + 64 = c^2
289=c^2
c^2=289
c=√289
c=17 feet
The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
A 15 feet tree casts a shadow that is 8 feet long.
Now,
Since, A 15 feet tree casts a shadow that is 8 feet long.
Hence, The length of the tip of the tree to the tip of it's shadow = x feet
So, We get by using the Pythagoras theorem;
⇒ x² = 15² + 8²
⇒ x² = 225 + 64
⇒ x² = 289
⇒ x = √289
⇒ x = 17
Thus, The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
Does the equation y = 3.0.47x represent exponential growth, exponential decay, or neither?
Answer:
exponential decay
Step-by-step explanation:
exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.Exponential decay occurs when the amount of decrease is directly proportional to how much exists.
Justin works as a car salesman. Last week, he had a total of $42,000 in sales. If his commission is 2%, how much did Justin earn last week?
Answer: $840
Step-by-step explanation:
42,000 total sale multiplied by .02 sales commission
42,000x.02 = 840
He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
1 point
a) 21 cubic inches
b) 7.5 cubic inches
c) 9.375 cubic inches
d) 10.5 cubic inches
e) 15 cubic inches
NEEEED help ASAP please!
Answer:
d) 10.5 cubic inches
Step-by-step explanation:
[tex]volume = \frac{1}{2} \times 3 \times 2 \times 3.5 \\ = 3 \times 3.5 \\ = 10.5 \: cubic \: inches[/tex]
Answer:
(a 21
Step-by-step explanation:
3 times 3.5= 10.5
10.5 times 2= 21
If a cone has a 5inch radius and a 12inch height what is the volume of the cone
Answer:
V = 75π
Step-by-step explanation:
The volume of a cone is πr^2 * h / 3
r = 5
h = 12
25π * 3 = 75π
Answer:
Step-by-step explanation:
r = 5 inches
h = 12 inches
Volume of cone = (1/3)πr²h
[tex]\frac{1}{3}*\pi *5*5*12\\=\pi *5*5*4[/tex]
= 100π cubic inches
Can somebody answer this...
Answer:
1. 72
2. 60
3. 35
4. 32
Step-by-step explanation:
1. 6 x 4 x 3= 72
2. 5 x 3 x 4= 60
3. 5 x 2 x 2= 20
5 x 3 x 1= 15
20 + 15= 35
4. 5 x 3= 15
2 x 2=4
4 x 8= 32
What is the volume of a cylinder with base radius 2 and height 9
Answer:
Step-by-step explanation:
Volume of the cylinder is = π x r x r x h = π x 2 x 2 x 9 = 113.097
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
The factory needs to sell 327 packbacks to make at least 9,800 per week.Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
[tex]40x -10x \leq 9,800[/tex]
Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
[tex]30x\leq 9,800[/tex]
Solving for [tex]x[/tex]
[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
Three friends got jobs at stores in the mall. nina earns 177.60for 14 hours of work ty earns 148.50 for 18 hours of work kim earns 137.60 for 16 hours of work
Answer:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Step-by-step explanation:
Hourly rate earned=total earnings/hours worked
Nina:
Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69 ($177.60/14)
Ty:
Ty earned $148.50 for 18 hours period of work,thus earned $8.25 ($148.50/18)
Kim earned $137.60 for 16 hours duration of work,invariably Kim earned $8.60 ($137.60/16)
From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour
Answer:
Step-by-step explanation:
The question might be centered on computation on the hourly rate earned by the three friends:
Nina $12.69
Ty $8.25
Kim $8.60
Hourly rate earned=total earnings / hours of work
Nina:
Nina earned $177.60 for 14 hours,
[tex]=\frac{177.60}{14}[/tex]
= $ 12.69 per hour
Ty:
Ty earned $148.50 for 18 hours period of work,
[tex]=\frac{148.50}{18}[/tex]
= $8.25 per hour
Kim
Kim earned $137.60 for 16 hours period of work,
[tex]\frac{137.60}{16}[/tex]
$8.60 per hour
From the analysis it is obvious that Nina earned the highest hourly rate of $12.69 per hour
Simplify:
(4 + 2i) 2
so the answer is 16+4i ^2
Look at the attached picture
Hope it will help you
Good luck on your assignment
Help!!!! Which represents the base of the cone
Answer:
the first option
Step-by-step explanation:
the 6 represents the diameter of the base
the 4 represents the height of the cone
if it needs a radius to solve the problem, divide the diameter by 2 (aka half of the diameter)
Find the arc length of a sector with a radius of 9 feet and a central angle of 18°. Give answer in
terms of pi.
Answer:
The arc length of a sector:
[tex]A = \frac{9}{10} \pi[/tex]
Step-by-step explanation:
-The equation for finding the Arc length, would be:
[tex]Arc length = \frac{a}{360\textdegree} 2\pi r[/tex]
-Use the given radius and the central angle for the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} 2\pi (9)[/tex]
-Then, solve the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9[/tex]
[tex]A = \frac{1}{20} \times 2\pi \times 9[/tex]
[tex]A = \frac{2}{20}\pi \times 9[/tex]
[tex]A = \frac{1}{10}\pi \times 9[/tex]
[tex]A = \frac{9}{10}\pi[/tex]
So, the arc length of a sector is [tex]\frac{9}{10} \pi[/tex] .