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
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
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
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:
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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
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
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.
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.
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:
Sarah kept track of the points she scored during her first five basketball games in the table shown.
What must she score during game 6 to have a mean of 12 points scored per game?
A. 10
B. 12
C. 14
D. 20
E. 22
Answer:
E
Step-by-step explanation:
If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.
The score she must get during the 6th game to have a mean of 12 point score per game is 22.
What is mean?The mean is the average of numbers.
Mathematically, it is represented as follows;
mean = sum of terms / number of terms
Therefore, to get a mean of 12 point score per game the 6th score can be calculated as follows:
let
x = 6th score
Hence,
8 + 12 + 10 + 6 + 14 + x / 6 = 12
50 + x / 6 = 12
cross multiply
12 × 6 = 50 + x
72 = 50 + x
72 - 50 = x
x = 22
Therefore, the score is 22.
learn more on mean here: https://brainly.com/question/26277430
can someone help me with a series of questions?
Answer:
yes
Step-by-step explanation:
send the questions....
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]
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:
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
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.
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
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
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps
The drama club is holding auditions for five different parts in a one act play. If my people audition, how many ways can the rules be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
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:
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] .
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)
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
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]
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.
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 :)
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!!
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...
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
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!
:)