The number of stakes that you need to be required should be 400 stakes.
Calculation of the number of stakes:Since You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side.
So here the square does have 4 sides
So,
= 100 (4)
= 400
hence, The number of stakes that you need to be required should be 400 stakes.
Learn more about perimeter here: https://brainly.com/question/24891826
Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest.
A) Find the original principal.
B) Using the the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000.
Answer:
See explanation
Step-by-step explanation:
Recall that
Amount = Principal + Interest
The formula is;
A = P(1 + r)^n
Where;
P= principal, n = time and r = rate
Hence;
P + I = P(1 + r)^n
P + 193.03 = P(1.021)^2
P + 193.03 = 1.04P
P - 1.04P = - 193.03
-0.04 P = - 193.03
P = 193.03/0.04
P = $ 4825.75
B) When A = $6000, n=?
From;
A= P(1 + r)^n
6000 = 4825.75 (1.021)^n
6000/4825.75 = (1.021)^n
1.24 = (1.021)^n
Taking logarithm of both sides;
log 1.24 = n log 1.021
n = log 1.24/log 1.021
n = 0.0934/0.009
n = 10 years
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: x=2, y=5
Explanation in image below
Step-by-step explanation:
What is the missing number?
Answer:
Missing number is 8
Step-by-step explanation:
This Is A Grade! Please Help Answer Any Of These. (PLEASE)
Answer:
1. 85 in squared
Work: b=17 h=10
17*1/2=8.5
8.5*10=85
2. 142.5 mm squared
Work:b=15 h=19
15*1/2=7.5
7.5*19=142.5
3. 110.5 mm squared
Work:b=17 h=13
17*1/2=8.5
8.5*13=110.5
4. 9km squared
Work:b=2 h=9
2*1/2=1
1*9=9
5. 924 mm squared
Work:b=77 h=24
77*1/2=33.5
33.5*24=924
6. 104.5 m squared
Work: b=19 h=11
19*1/2=9.5
9.5*11=104.5
Step-by-step explanation:
Answer:
1. 10x17=170
170/2=85in
2. 19x15=285
285/2=142.5mm
3. 13x17=221
221/2=110.5mm
4. 9x2=18
18/2= 9km
5. 24x77=1,848
1,848/2=924mm
6. 11x19=209
209/2=104.5m
If 2 inches is about 5.08 centimeters, about how many inches is 32 centimeters? Round your answer to the nearest hundredth if necessary.
Answer:
12.60 inches
Step-by-step explanation:
Divide 5.08 by 2 to get 2.54. This means that for every 1 inch, there is 2.54 centimeter. Using this rule, we divide 32 by 2.54 to get 12.598 inches, or 12.60 if we round to the nearest hundredth.
Suppose that 0 is an angle in standard position whose terminal side effects intersects the unit circle at (-15/17, 8/17)Find The exalta valeis Tan sec and cos
Step-by-step explanation:
cosθ = 15/17 and sinθ = -8/17
So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8
please help me , i’m so stuck on this problem
Answer:
x = 1
y = 9
Step-by-step explanation:
The diagonals of the parallelogram bisect each other. Therefore:
✔️2x + 13 = 15
2x + 13 - 13 = 15 - 13
2x = 2
2x/2 = 2/2
x = 1
✔️5y - 36 = y
5y - 36 - 5y = y - 5y
-36 = -4y
-36/-4 = -4y/-4
9 = y
y = 9
One pizza is $12 and a cake is $18. If Matt has $84, how many pizzas can he buy at most and still afford to buy a cake
Answer:
5 pizzas
Step-by-step explanation:
So first you subtract 18 so that you know that there is at least one cake.
84 - 18 = 66
When you get 66 dollars remaining, you divide it by 12 to see how many you can afford.
66/12 = 5.5
So because you can’t say you have an additonal amount of money, you would actually round down to 5.
So Matt can buy a total of 5 pizzas and 1 cake.
Answer:
5
Step-by-step explanation:
To find the number of pizzas Matt can buy while still being able to afford a cake set up an inequality. The inequality should look like [tex]84\geq 12x+18[/tex] where x is the number of pizzas Matt bought. Then, solve the inequality by first subtracting 18 from both sides, [tex]66\geq 12x[/tex]. Next, divide both sides by 12, [tex]5.5\geq x[/tex]. This means that Matt can buy 5 pizzas. At first, it might seem like you should round up; however, if you rounded up at all then Matt could not afford the cake, so you must round down.
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair
game?
Answer:
Counting from the top:
fist option
fourth option
fifth option.
Step-by-step explanation:
Any set that has a multiplicative outcome, such that the total number of outcomes is 24.
Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:
M*N
This is the main thing we need to see.
Let's analyze each option:
1) flip a coin (2 outcomes)
flip a coin again (2 outcomes)
roll a 6 sided dice ( 6 outcomes)
total number of outcomes:
2*2*6 = 24
2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).
The total number of outcomes is:
8*16 = 128
We wanted only 24.
3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)
flip a coin (2 outcomes)
flip the coin again (2 outcomes)
total number of outcomes:
2*2*5 = 20
We wanted 24, we can discard this.
4) Spin the thing (3 outcomes)
roll an 8-sided dice (8 outcomes)
Total number of outcomes:
8*3 = 24
This is a correct option.
5) Select a card from A to D (4 outcomes)
Roll the thing (6 outcomes)
total number of outcomes:
6*4 = 24
This is a correct option.
6) Select a card from A to N {14 options}
Roll the thing once (10 outcomes)
Total number of outcomes:
14*10 = 140
We wanted 24, so we can discard this option.
Then the correct options are:
first one, fourth one, and fifth one.
A family spends 20% of its income on mortgage repayments of RM 800 per month, Calculate the monthly income of the family.
Answer:
monthly income of 4,000
Step-by-step explanation:
monthly income=m
.20m=800
m=4,000
A function where the independent variable is an exponent. f(x) = ab^x, where a and b are real numbers with a # 0, b>0, and b # 1
A: exponential growth
B: exponential decay
C: exponential function
Answer:
C
Step-by-step explanation:
C, the answer is exponential function
Let O be a quadrant I angle with cos(0) ✓11/7 Find sin(20).
Answer:
[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]
Where θ is in QI.
And we want to determine sin(2θ).
First, note that since θ is in QI, all trig ratios will be positive.
Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.
Then by the Pythagorean Theorem, the opposite side to θ is:
[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]
So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.
We can rewrite as expression as:
[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]
Using the above information, substitute. Remember that all ratios will be positive:
[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]
Which sentence represents the perimeter
of a square?
A. length x width =P
B. (length x width) x 2 =P
C. length + length + width + width =P
D. (length + length) x (width + width) = P
Answer:
c
Step-by-step explanation:
HELP! please i would do it
but the conjunctions are the same
Answer: 3. either/or
Step-by-step explanation:
Answer:
1. neither/nor
2. not only/but also
3. either/or
4. not only/but also
5. neither/nor
Step-by-step explanation:
1. Often when someone first moves somewhere, they are not familiar with the language. I think both/and also works, because she may have prepared for the move, but more likely it's neither/nor.
2. You have it correct.
3. They can only pick one, so "both/and" doesn't apply.
4. You have it correct.
5. Parents do not like when their kids argue :). Neither my mother nor my father likes it when I argue with my little sister.
If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answer:
i
Step-by-step explanation:
dont know
(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2
Answer:
191.0
Step-by-step explanation:
Helllpppp i’ll give brainliest
Answer:
The two triangles are related by A - S - A test of similarity , so the triangles are congruent.
What is 10 rounded to the nearest whole number?
a. 2244
b. 3205
c. 3846
d. none of the above
Answer:
d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
10 is already a whole number and does not need to be rounded
Emily surveyed 364 people with 3 out of 7 answered yes
The short side of a parallelogram is 6in long.
the long side is 19 in. What is the perimeter
of the parallelogram?
Answer:
20
Step-by-step explanation:
Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
add me https://dis cord.gg/WSpQqVM7ex
Step-by-step explanation:
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Bots are not welcome here!
The U Gym provides weight resistance through adjustments of incline. The minimum weight resistance is 8% of the weight of the person using the U Gym. Find the minimum weight resistance possible for a 240-pound man.
The minimum weight resistance possible for a 240-pound man is
pounds.
(Type a whole number or a decimal.)
Answer:
The minimum weight resistance possible for a 240-pound man is 19.2 pounds.
Step-by-step explanation:
Since the U Gym provides weight resistance through adjustments of incline, and the minimum weight resistance is 8% of the weight of the person using the U Gym, to find the minimum weight resistance possible for a 240-pound man the following calculation:
240 x 8/100 = X
1,920 / 100 = X
19.2 = X
Thus, the minimum weight resistance possible for a 240-pound man is 19.2 pounds.
A passenger train leaves a railway station at 12:00 pm and travels 3 hours on the Northbound track. A second passenger train leaves the same railway station at 12:45 pm and travels 2 hour and 15 minutes on the Southbound tracks at a speed of 20 kilometers per hour faster than the first train. At 3:00 pm the two trains were 360 kilometers apart. How fast was each train traveling?
Answer:
63 kilometers per hour for train A and 83 kilometers for train B
Step-by-step explanation:
Same beginning
Train A: 3 hours to NorthTrain B: 2 hours and 15 minutes to Southbut train B 20 kilometers per hour faster
15 minutes from 20 kilometers per hours are 5 kilometers
So, train B is 45 kilometers travel more far than train B.
= 360 kilometers - 45 kilometers
= 315 kilometers ÷ 5 hours
= 63 kilometers per hours
Hope it's right><
Two methods are proposed to measure the effectiveness of a brand of sunscreen.
Method A: Survey adults visiting a beach on a busy weekend. Ask each adult which brand of sunscreen they are using, and assess their arms for sun exposure.
Method B: Volunteers are randomly assigned to one of two brands of sunscreen. Each volunteer is asked to report back at the end of the day, and their arms are assessed for sun exposure.
Which statement is a correct interpretation of these methods?
Both methods are experiments because sun exposure is assessed in both methods.
Both methods are observational studies because neither method attempts to influence responses.
Method A is an experiment because it compares many brands of sunscreen, while method B is an observational study.
Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Step-by-step explanation:
Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.
Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.
Therefore, the correct option is D.
Use what you learned to show where the following points would
be after the given reflections:
PRE-IMAGE
REFLECTION
OVER X-AXIS
REFELCTION
OVER Y-AXIS
A(6,8)
B(-5,1)
C(10,-9)
D(-4,-11)
E(7,12)
PLEASE HELP ME THIS IS DUE TONIGHT!!!!
Answer:
ok try it now.
Step-by-step explanation:
The median of these numbers is
how much less than the mean?
1.5, 0.6, 0.7, 0.85, 5.3
Answer:
The median of the numbers is 3.66 less than the mean
Step-by-step explanation:
To find the median, find the middle of the numbers
0.6, 0.7, 0.85, 1.5, 5.4
To find the mean, add all the numbers and divide by the number of numbers
0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55
22.55/5 = 4.51
To find how less, subtract the median from the mean
4.51 - 0.85 = 3.66
Find the distance between points P(2, 6) and Q(8, 4) to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
√((8-2)^2 + (4-6)^2)
√ (36 + 4)
√40
6.3
7. Find the measure of x.
Answer:
37
Step-by-step explanation:
Here the 2 angles are the same. So
74 = 2x
74/2 = x
x = 37
Answer ;
2x + 74 = 180 2x = 180 - 74 = 106 x = 160/2( refer the attachment for the division )
hence , x = 53
hope my answer helps you !!