Answer:
C
Step-by-step explanation:
x^2 + 20^2 = 25^2
x^2 + 400 625
x^2 = 225
x = 15
A house is located at the center of a circular lot, exactly 25 yards from the edge of the lot. How much fencing will the homeowner need to surround the entire lot?
A. 157
B. 200.96
C. 185
D. 78.5
The number of yards fencing the homeowner need to surround the entire lot is 78.5 yards. Therefore, the option D is the correct answer.
What is the circumference?The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre. A meridian is any great circle passing through a point designated a pole.
Given that, a house is located at the center of a circular lot, exactly 25 yards from the edge of the lot.
Here, d = 25 yards
Radius = 25/2 = 12.5 yards
We know that, the circumference of a circle = 2πr
= 2×3.14×12.5
= 78.5 yards
Therefore, the option D is the correct answer.
To learn more about the circumference visit:
https://brainly.com/question/4268218.
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Ann is using a recipe that serves 20 people. The recipe requires half a
of a cup of sugar. How many cups of sugar does Ann need to serve 70 people with this recipe?
Answer:
17.5 cups of sugar
Step-by-step explanation:
20 people = 1/2 cup of sugar
10 people = 1/4 cup of sugar
70 people = 17 1/2 cup of sugar
Hope this helps!
Please please help me please please I really need help please please help me please please
Answer:
1d674hh
Step-by-step explanation:
drrx+mub
HELPPPP! Which expression is equivalent to 7Vx^2/5Vy^2
Answer:
Step-by-step explanation:
HELP PLSSS!!!!!!!!!!!!!!!
Answer:
6. (27÷3) × v = 45
9 × v = 45
v = 45/9 = 5
F. 5
5. (2×19) + 3 = j
38 + 3 = j
j = 41
C. 41
4. 7 + t = 4 + 6 + 3
t = 13 - 7
t = 6
J. 7+t = 4+6+3
t = 6 tickets
Answer:
First question=5 : Second question= 41 : Third question= J
Step-by-step explanation:
27 divided by 3 is 9, so planting one violet takes 9 minutes, if they spend 45 minutes planting them you divide 45 by 9 and get 5.
:)
Ada ate 19, rob ate double Adas amount, so 19x2 to get Robs total of 38, then Jane ate 3 more than rob, so 38+3=41
:)
6 is the 13 tickets she needs -7 that she has already.
Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.
Answer:
x ≈ -0.14
Step-by-step explanation:
6(4x + 5) = 3(x + 8) + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
21x + 30 = 27
21x = -3
x = [tex]\frac{-3}{21}[/tex]
x = [tex]-\frac{1}{7}[/tex]
x ≈ -0.14
Camila invests money in an account paying a simple interest of 3.4% per year. If she invests $50 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answer:
51.70
Step-by-step explanation:
2 ways to calculate
50 x 1.034=51.70
or
50 x .034=1.70 interest
1.70 interest
Plus 50.00 principal
equals 51.70
Does anybody know the answer to this question
Answer:
A
Step-by-step explanation:
please help! What is the exact volume of the cylinder?
Enter your answer, in terms of π, in the box.
[tex]\pi \: {r}^{2} h[/tex]
[tex] \frac{22}{7} \times \: {5}^{2} \times 15[/tex]
[tex]1178.09725[/tex]
Can you figure out the answer?
5x-6=29. What does x equal
Answer:
Solution given:
5x-6=29.
5x=29+6
x=35/5=7
x=7 is your answer
Answer:
x=7
Step-by-step explanation:
A
Cylindrical container with Circular base
is hold 64 cubic centimetres. Find the
dimension so that the amount(surface area)
of metal required is a minimum when
( a ) the container is an open cup and ( b ) a
Closed can
Answer:
annhbhhnnnnnnbhhhbbbbbbbbbbbbbbbbbbbbbbbnbnnnnnnnnnnnnnnnnnnnnnn 24cm2
An item has a listed price of $45. If the sales tax rate is 3%, how much is the sales tax (in dollars)?
Answer:
1.35
Step-by-step explanation:
45 x .03
First Bank of Springdale operates a one-lane drive-in ATM machine. Cars arrive according to a Poisson distribution at the rate of 12 cars per hour. The time per car needed to complete the ATM transaction is exponential with mean 6 minutes. The lane can accommodate a total of 10 cars. Once the lane is full, other arriving cars seek service in another branch. Determine the following:(a) The probability that an arriving car will not be able to use the ATM machine because the lane is full.(b) The probability that a car will not be able to use the ATM machine immediately on arrival.(c) The average number of cars in the lane.
Answer:
a) 0.19
b) 0.9689
c) ≈ 6 cars
Step-by-step explanation:
Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute
time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute
capacity of lane = 10 car
n = 10
a) Calculate the probability of an arriving not using the ATM because the line is full
p ( not using the ATM ) = 0.19
b) probability that a car will not be able to use the ATM machine immediately on arrival
P ( n > 0 ) = 1 - Po
= 1 - 0.0311 = 0.9689
c) Average number of cars in the lane
Lq = 5.74 ≈ 6 cars
attached below is the detailed solution
a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces
Step-by-step explanation:
length of 1st piece = x inch
length of 2nd piece = 3x inch
length of 3rd piece = 4x inch
x + 3x + 4x = 56
8x = 56
x = 7
Thus,
length of 1st piece = 7 inch
length of 2nd piece = 3 × 7 = 21 inch
length of 3rd piece = 4 × 7 = 28 inch
Help! Can you solve this. I'll give brainliest
Answer:
Y = 10
I hope it's helps you
Answer:
y = 10
Step-by-step explanation:
So, we can use the external angle as the measurement of the distant angles. In other words,
4y + 7y + 6 = 116
11y + 6 = 116
11y = 110
y = 10
Which of the following is a perfect cube?
1
18
4
81
Answer: 1
Step-by-step explanation:
1 is both perfect square and cube.
Write an inequality for this situation:You are driving, and
the maximum speed limit is 55
Answer:
c
Step-by-step explanation:
ahhhh I see now yes I do
Answer: yes
Step-by-step explanation: so smart I think
which equation shown below shows a linear relationship between x and y ?
Answer:
Its probably a because the ones with squared results in a u shape
What percentage of data values are less than 80
Answer:
100%
none are greater than 80
Step-by-step explanation:
Which statement about the ordered pairs (–2, 9), (0, 9) and (3, 9) is not true?
Answer:
The slope of these coordinates is 0.
It is a horizontal line.
Step-by-step explanation:
I need help I’m so lost
Answer:
B I think
Step-by-step explanation:
Please help, I’ll mark you as brainiest!!!
Answer:
144,000.00
Step-by-step explanation:
100-20=80%
0.8x180000=144,000
Answer:
D
Step-by-step explanation:
.2× 180000= 36000
180000- 36000
= 144000
A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour.If this velocity is multiplied by √2 the satellite will have the minimum velocity necessary to escape Earth's gravity and will follow a parabolic path with the center of Earth as the focus.
Required:
Find the distance between the surface of the Earth and the satellite when θ = 50°.
a. Distance between surface of Earth and satellite:4496 miles
b. Distance between surface of Earth and satellite:4322 miles
c. Distance between surface of Earth and satellite:1286 miles
d. Distance between surface of Earth and satellite:643 miles
e. Distance between surface of Earth and satellite:1492 miles
Answer:
64.3 miles ( D)
Step-by-step explanation:
Circular orbit height ( from the center of the earth ) = 100 mile
angle between satellite and earth = 50°
escape velocity = √2 * 17500 = 24748.73 miles /hour
distance between surface of earth and satellite
x = cos ∅
∴ Cos ∅ = x / 100
x = cos 50° * 100 ≈ 64.3 miles
On a standardized exam, the scores are normally distributed with a mean of 300 and
a standard deviation of 40. Find the Z-score of a person who scored 240 on the exam.
Answer:
-1.5
Step-by-step explanation:
The Z - score of a person who scored 240 on the exam will be - 1.5.
What is Standard deviation?
Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
On a standardized exam,
The mean of scores = 300
Standard deviation = 40
Score on the exam = 240
Now,
Since, The Z - score is defined as;
Z - score = (X - μ) / σ
Where, μ is mean of scores and σ is Standard deviation.
Substitute all the values , we get;
Z - score = (X - μ) / σ
Z - score = (240 - 300) / 40
Z - score = - 60 / 40
Z - score = - 1.5
Therefore,
The Z - score of a person who scored 240 on the exam will be - 1.5.
Learn more about the Z - score visit:
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Change the decimal to a percent. 1.3=
Answer:
Im pretty sure its 130%
Step-by-step explanation:
Dans une classe, le professeur d’EPS choisit au hasard un élève qui sera l’arbitre du
match de football.
La probabilité que ce soit un garçon est de 0,7.
Calculer, en justifiant, la probabilité que ce soit une fille
Answer:
Step-by-step explanation:
1-0,7 = 0,3
la probabilité que se soit une fille est de 0,3
Answer:
1-0,7 = 0,3
la probabilité que se soit une fille est de 0,3
Translation:
the probability that it is a girl is 0.3
Can someone help ?
Marie has a can of tomatoes that is 5.75 inches tall and has a diameter of 3.6
inches. Which of the following is the closest to the volume of the can in cubic
inches?
A 234.11
B65.03
C 35.52
D58.53
Answer:
A 234.11
Step-by-step explanation:
[tex]= 234.11148454551 feet^{3}[/tex] is what you get lol
Jose is planning to spread fertilizer on his rectangular yard. His yard is length of 40 feet and width of 25 feet. How much fertilizer does he need?