Answer:
Assuming the length to be x and the width to be y.
Since the area is 64cm, hence
x*y = 64 (equation 1)
Since the perimeter is 40cm, hence
x + x + y + y = 40
2x + 2y = 40
2(x + y) = 2(20)
x + y = 20 (equation 2)
Hence by using simultaneous equation,
x = 20 - y (equation 3)
Substituting equation 3 into equation 1, we get
(20-y)*y=64
20y-y^2=64
Tidying up the equation,
y^2 - 20y + 64 = 0
By using factorisation,
(y-16)(y-4)=0
y=16 or y=4
By substituting y=16 into equation 1,
x*16=64
x = 4
By substituting y = 4 into equation 1,
x*4=64
x=16
Therefore,
The length is 4 cm while the width is 16 cm.
OR
The length is 16 cm while the width is 4cm.
Hope this helps!!
A teepee in the shape of a cone has a
radius of 7 feet and a height equal to
its diameter. What is the volume of the
teepee? Use 3.14 for .
The volume of the given cone is 718.01 square feet. Therefore, option H is the correct answer.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.
Given that, radius of a base of cone is 7 feet.
A height of a cone equal to its diameter = 7×2 = 14 feet
Here, volume of a cone = 1/3 ×3.14×7²×14
= 718.01 square feet
Therefore, option H is the correct answer.
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PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!
A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the survey are shown below:
60 students like building snowmen
10 students like building snowmen but do not like skiing
80 students like skiing
50 students do not like building snowmen
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both building snowmen and skiing? Show your work. (5 points)
Part B: What is the probability that a student who does not like building snowmen also does not like skiing? Explain your answer. (5 points)
Answer: 45.4% of students like both building snowmen and skiing
18.1% of students who do not like building snowmen also do not like skiing
Step-by-step explanation:
__________________________________________________
likes snowmen doesn't like snowmen total
__________________________________________________
likes skiing 50 30 80
__________________________________________________
doesn't like skiing 10 20 30
_________________________________________________
total 60 50 110
L
2.8
K
Solve AJKL. Round the answer to the nearest tenth.
A. J = 42.2°, K = 110.70, L = 27.1°
B. J = 110.70, K = 42.20, L = 27.1°
C. J = 42.2°, K = 27.1°, L = 110.70
D. J= 27.1°, K = 110.7°, L = 42.2°
Please select the best answer from the choices provided
Answer:
Result = 124.6
Step-by-step explanation:
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example
124.58
The first number of right of decimal point is 5
The second digit after decimal point is 8 which is greater than 5
So add 1 to 5
Result = 124.6
Describe the trend in the scatter plot . Explain your answer
From the given scatter plot it is a positive trend.
We need to describe the trend of given scatter plots.
How to identify the trend of the scatter plots?A scatter plot shows a positive trend if y tends to increase as x increases. A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.
Here, from the given graph it is a positive trend.
Hence, from the given scatter plot it is a positive trend.
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$10,000 is invested at 0.75% annual interest for 2 years.
a. Simple Interest b. Compound Interest
Answer:
The simple interest is 10,150.00 The compound interest is $10,150.56
Step-by-step explanation:
If a cone has a height of 16 feet and a volume
of 603.19 cubic feet, find the length of its
diameter.
Answer:
48 feet
Step-by-step explanation:
Use the equation: volume of a cone = 1/3 ×(height × radius ^2)
After finding the radius, multiply it with 2 to get the diameter
There are 64 teams in a basketball tournament. All teams play in the
first round but only winning teams move on to subsequent rounds.
Write an explicit rule for T(n), the number of games in the nth round of
the tournament. State the domain:
The domain of this function is n ≥ 1, where n is the round of the tournament.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The explicit rule for T(n), the number of games in the nth round of the tournament is 2ⁿ⁻¹. The domain of this function is n ≥ 1, where n is the round of the tournament.
Since all teams play in the first round, the number of games in the first round (n = 1) is 2¹⁻¹, which is equal to 1. As the rounds progress, the number of games in each round is doubled. T
herefore, the number of games in the second round (n = 2) is 2²⁻¹, which is equal to 2. The number of games in the third round (n = 3) is 2³⁻¹, which is equal to 4.
This pattern continues for each round, as the number of games in the nth round is 2ⁿ⁻¹.
Therefore, the domain of this function is n ≥ 1, where n is the round of the tournament.
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Write the new points after the translation and write the rule in coordinate notation.
TRANSLATION: 1 unit left
Q
U
Q(2,-2), X(2,0), G(4,0), U(3,-4)
11th Grade And Algebra
4g + 13 =54
Answer:
g = 41⁄4
Step-by-step explanation:
4g + 13 = 54
=> 4g = 54 - 13
=> 4g = 41
=> g = 41⁄4
∴ g = 41⁄4
Convert 400 meters (m) to feet (ft). Round your answer to two decimal places. (1 metre = 3.28084 feet)
Answer:
1m----------3.28084ft
400m---------xft
x=(400*3.28084)/1
x=1,312.33 ft
Step-by-step explanation:
Find the greatest common factor of 6c^3 and 10c^4
Answer:
2c^3
Step-by-step explanation:
The greatest common divisor of 6 and 10 are 2
The factors that are common to 6c^3, 10c^4 would be 2ccc
Simplify that and you have 2c^3
Find the distance between the pair of points (2,-1) and (-5,-5)?
Answer:
down 4 and over 7 so 11
Step-by-step explanation:
A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 167?
A shoe string is cut in to equal pieces that measure 0.50 of an inch. If the shoe string measures 7.50 inches, how many equal pieces can be cut?
If
you had 2 angles that equal 180 degrees and you was given a angle of
55 degrees What degree is the missing angle? *
Answer:
125 degrees for 540 degrees total
Step-by-step explanation:
Answer:
125° is the missing angle.
Step-by-step explanation:
Sum of all angles in a quadrilateral is 360°.
180°+55°+X°= 360°
235° + x = 360°
x = 360°-235°= 125°
x = 125°
Find the perimeter of triangle round nearest tength
This is the answer. I hope it helps!
Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? *
Answer: V=120
have an amazing day <3
Answer:what is the answer i dont understand
plz help
which is the smallest integers, please answer, -9, 0, -2, -4, -11
Answer:
-11 :)
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
A student rounds a number to 12.9. Which of the following is a possible value of the original number?
Answer:
12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94
Step-by-step explanation:
there is none
what is 7.09 Divided by 101
Answer:
0.070198..
Step-by-step explanation: its an on going number so make sure to put the line on top on the 0198
Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer was started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease.
Required:
a. If you wish to determine the community screening program has been effective, state the alternative hypothesis that should be tested.
b. State the null hypothesis.
c. If 164 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using αα=.05 and explain the practical conclusion from your test.
d. Find the p-value for the test and interpret it.
Answer:
A) Alternative hypothesis; Ha: p_o > ⅔
B) Null hypothesis;
H0: p_o = ⅔
C) There is sufficient evidence to support the claim that the community screening programme was effective
D) p-value = 0
Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective
Step-by-step explanation:
A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.
Thus, the null hypothesis is;
H0: p_o = ⅔
We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;
Ha: p_o > ⅔
B) null hypothesis is;
H0: p_o = ⅔
C) 164 out of the 200 women selected survived the disease.
Thus sample proportion is;
p^ = 164/200
p^ = 0.82
For the z-score value, we will use the formula;
z = (p^ - p_o)/√((p_o(1 - p_o)/n)
Now, p_o = ⅔ = 0.67
Thus;
z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)
z = 4.51
From online p-value from z-score calculator, we have p-value ≈ 0
This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.
D) p-value ≈ 0
Reject the null hypothesis
I am voting in a state election. There are seven candidates for governor, four candidates for lieutenant governor, three candidates for the state house of representatives, and four candidates for the senate. In how many different ways can I fill out a ballot if I vote once for each office?
Answer:
4
Step-by-step explanation:
CHOOSE 1 GOVERNOR
CHOOSE 1 LIEUTENANT GOVERNOR
CHOOSE 1 STATE HOUSE REP'.
CHOOSE 1 SENATOR
=4 DIFFERENTNT WAYS.
(2a + 3b + 1) - (3a + 5b) - (2a - 2b – 3)
Answer:
4- 3a .............................
1. Find
the area of each figure to the nearest tenth.
Area = 85ft²
To find the area of the given square you can use the following equation
[tex]Area = Side^2\\Area = 8^2\\Area = 64[/tex]
To find the missing side of the given triangle, you will have to use Pythagorean's theorem
[tex]Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6 \\[/tex]
Now that we know what both sides are we can use the following equation to get the area of the triangle
[tex]Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21 \\[/tex]
After that, we can add both areas together and get the following
[tex]21+64=85[/tex]
RT and UW are parallel lines.
Which angles are corresponding angles?
Name an interior angle that is supplementary to <7.
Will give BRAINLIEST!!!!
Answer:
2, 4, and 6
Step-by-step explanation:
Supplementary angles are angles that add to 180°.
We can see that the angles that make a straight line/straight angle with ∠7 are supplementary to it, because a straight line is 180°.
Those numbers would be be 2, which equals to 4, which equals to 6 and also 8, but that number isn't one of the answers
2,4, and 6
What is 1.63 to the third power
Answer: 4.330747
Step-by-step explanation: Hoped this helped:))
Answer:
4.330747
Step-by-step explanation:
Write the number six and a half thousand in figures
Answer:
Step-by-step explanation:
6500 is the correct answer
Is the graph increasing , decreasing or constant
Answer: Constant.
The graph does not have an incline and therefore has a slope of 0. This means that the graph is constant.
A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mean weight of the first baby for women who have at least two children. She selected a random sample of 20 women who had at least two children and asked for the weights of the first two at birth. She found that the mean of the differences (first - second) was 5 ounces, and the standard deviation of the differences was 7 ounces.
Required:
a. Why was the researcher's study design better than taking independent samples of mothers and asking the first sample about the weight of their first baby and the sec_ and sample about the weight of their second baby?
b. Define the parameter of interest. Use appropriate notation.
c. Write the mean of 5 ounces and the standard deviation of 7 ounces using appropriate statistical notation.
d. Find a 90% confidence interval for the parameter that you defined in part (b). Write a sentence or two interpreting the interval.