Answer:
616.25 [tex]yd^2[/tex]
Step-by-step explanation:
The equation for the area of a circle is
[tex]A=\pi r^2[/tex]
Since the problem does not give a value for r, it must be derived. Recall that the equation for the circumference of a circle is
[tex]C=2\pi r[/tex]
Using the given value of the circumference,
[tex]C=88yd=2\pi r[/tex]
So,
[tex]88yd=2\pi r\\\frac{88yd}{2\pi}=r\\14.01yd=r[/tex]
Insert the derived value of r into the formula for area:
[tex]A=\pi r^2\\A=\pi(14.01yd)^2\\A=616.25yd^2[/tex]
g Refer to the Environmental Geology (Vol.58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil solpe. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are presented below. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces form the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2. 10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77 a. Specify the null and alternative hypotheses. Be sure to define the parameter used in your hypotheses. b. Compute the value of the test statistic. c. Determine the rejection region for the test using alpha
Answer:
H0 : σ² = 10
H1 : σ² ≠ 10
X² = 20.124
Pvalue = 0.064776
there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Step-by-step explanation:
Given the data:
10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77
Using a calculator ;
The sample variance, s² = 16.77
α = 0.10
The null and alternative hypothesis :
H0 : σ² = 10
H1 : σ² ≠ 10
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 16.77
n = sample size = 13 ; s²
X² = [(13 -1)*16.77 ÷ 10
X² = (12 * 16.77) / 10
X² = 201.24 / 10
X² = 20.124
The Pvalue using a Pvalue calculator ; degree of freedom (df) = 13 - 1 = 12
Pvalue = 0.064776
Pvalue < α ; Hence we reject the null
Hence, there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Multiply: 8(3t - 5v)
Answer:
-16tv
Step-by-step explanation:
3-5=-2tv*8=-16tv
The answer is :25t-40v
Explanation: Your disrupting 8 to 3 and 5.
Complete the table. Thanks in advance
Answer:
20%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
65.60/82.00
Does anyone know answer please?
Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.
When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent
In this problem
---> by alternate interior angles
we have
therefore
Please help i would really appricate it.
A) (5,-4)
(2,0)
(7,1)
N) (5,-4)
(2,0)
(7,1)
T) (5,-4)
(2,0)
(7,1)
A(2,0) N(7,1) T(5, -4)
<3
16. Simplify the expression.
(6 + 47) + (4 + 61)
-10 - 10
10 + 10i
201
10 - 10
The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?
Answer:
formula for the area A of a circle in terms of its radius r:
A = πr2
It is important to remember that both r, and hence, A are functions of time, t. Take the derivative of both sides with respect to t and obtain
dA/dt = 2πr(dr/dt)
Note that we are using implicit differentiation here, since A and r are (implicit) functions of t. Now we can find the required answers.
r = 5 inches.
Substitute r = 5 and dr/dt = 3 to get
dA/dt = 2π5·3 = 30π ≅ 95.25
(the units are in2/min.)
r = 22 inches
dA/dt = 2π22·3 = 132π ≅ 414.69
Hope that helps.
identify each triangle right if it is an equilateral, isosceles or scalene triangle, or if it is an obtuse triangle, acute triangle, or right triangle opposite each letter below
Answer:
a) isosceles triangle / acute triangle
b) right angled triangle
c) isosceles triangle / acute triangle
d) right angled triangle
e) isosceles triangle / acute triangle
f) equilateral triangle
g) equilateral triangle
h) obtuse triangle
hope this answer helps you.....
please help
Find the missing side of this right
triangle.
21
х
15
X =
= V[?]
Answer:
216
Step-by-step explanation:
^
Which of the following is a true statement?
o & >
o = }
Os <
Answer:
the last one Denise, is the only one that is true
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Devin pushed a table 2 meters, using a force of 100 N. The table weighed 150 N. How do you calculate the work done by Devin?
A. Multiply 150 by 2.
B. Divide 100 by 2.
C. Multiply 100 by 2.
D. Divide 150 by 2.
Answer:
Step-by-step explanation:
D I did this before
Jodi infested 4400 less in account paying 4% simple interest then she did in the account paying 2% simple interest. at the end of the first year, the total interest from both accounts was $592 find the amount invested in each account
9514 1404 393
Answer:
$8400 at 4%$12800 at 2%Step-by-step explanation:
Let x represent the amount Jodi invested at 4%. Then x+4400 is the amount she invested at 2%. Her total interest is ...
0.04x + 0.02(x +4400) = 592
0.06x +88 = 592
0.06x = 504
x = 8400
x +4400 = 12,800
Jodi invested $8,400 at 4% and $12,800 at 2%.
−2x + 6y = 3 HOW MANY SOLUTIONS?
x − 3y = −3
The system has ....
solution(s).
Answer:
there are about 2-3 possible solution
Step-by-step explanation:
keep practicing , all will be well
How many times can 60 go in 119
Answer:
answer is 1
Step-by-step explanation:
bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))
Shamim made the model to
show multiplying a fraction by a
fraction. Which multiplication
sentence does the model show?
Answer:
C
Step-by-step explanation:
Lets look at the rows, there are 3 rows going down and there are 8 rows going across. There are 2 rows out of the 3 fully colored in so we know our first fraction would be 2/3, that way we cross out A hence it doesn't have 2/3 written in the problem. Next we check how many are shaded in in the 2 rows which is 5 and there are 8 rows going across so our answer is 2/3 x 5/8 = 5/12
The multiplication sentence which does the model show is 3/8 * 5/8=15/64, the correct option is A.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
The block diagram
Now,
10 fully shaded boxes
8 partially shaded boxes= 5/3
3 empty boxes =3/8
Multiplying both the fractions
= 3/8 * 5/3
= 15/64
Therefore, by the fraction the answer will be 15/64.
Learn more about fraction;
https://brainly.com/question/729654?referrer=searchResults
#SPJ2
How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?
Answer:
Step-by-step explanation:
proportions in similar triangles
Answer:
X=2
Step-by-step explanation:
4/6=x/x+1
cross multiply
6x=4(x+1)
6x=4x+4
2x=4
x=2
31-(75 divided by 3) divided by 5
Answer:
The answer is: 26
Step-by-step explanation:
How i got this answer is i used a method called P.E.M.D.A.S ( parenthesis, exponents, multiplication, division, addition, subtraction). So i first did what was in the parenthesis (75 / 3= 25). Next I did division ( 25 / 5=5). Lastly, I did Subtraction ( 31-5 = 26) and so your left off with the answer 26.
~I really hope this explanation helped, have a gr8 day/night my friend!~
Answer:
I got 26 hope this helps
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Find the missing side of this right
triangle.
x
7
14
x= [?]
Enter the number that belongs in the green box.
Answer:
By Pythagoras theorem
x² = 7² + 14²
x² = 49 + 196
x² = 245
X = square root of 245
245 is number that belongs to the green box
The missing side of the right triangle is √245. The number that belongs in the green box is 245
Calculating the side length of a triangleFrom the question, we are to determine the missing side of the given triangle
The missing side of the triangle can be determined by using Pythagoras' theorem
The theorem states that, in a right angle triangle
c² = a² + b²
Where c is the length of the longest side (hypotenuse)
and a & b are the other two sides
From the given information,
Hyp = x;
Let a = 7 and b = 14
∴ x² = 7² + 14²
x² = 49 + 196
x² = 245
x = √245
Heence, the missing side of the right triangle is √245. The number that belongs in the green box is 245.
Learn more on Calculating the side length of a triangle here: https://brainly.com/question/27165976
4x + 7y - 3x - y show work please
Answer:
Step-by-step explanation:
4x + 7y - 3x - y
Move like terms next to each other.
4x - 3x + 7y - y
Subtract them
4x-3x= 1x or x
7y-y = 6y
So we have:
x + 6y
Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?
Answer:
$7.5
Step-by-step explanation:
Cost of 5 pounds of gummy
=$(4.5/3)(5)
=$7.5
Lee records the height of players on a basketball team, and calculates the mean absolute deviation of the set of data.
What does the mean absolute deviation of the set of data describe?
the average height of a player on the team
B the height of the tallest player on the team
the difference in height between the shortest and tallest player
D the average difference in height between each player and the mean height
Answer:
I'm pretty sure it's D
Step-by-step explanation:
Answer:D is the answer
Can someone help me please???
Answer:
Ummmm. I am going to say it is the 1st one??
Step-by-step explanation:
Answer:
The last one!
Step-by-step explanation:
Please help me!
1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex
2. Consider the feasible region in the xy-plane defined by the following linear equalities:
X>=0
Y>=0
X<=12
X + Y >= 4
-X + 2Y <= 14
A. Find the value of Q=70x+82y for each vertex
B. What are the minimum and maximum values of the function Q on the feasible region?
Michael completed a race that is 7 kilometers long. Which distance is closest to the number of miles Michael ran? ( 1.609 kilometers = 1 mile)
Answer:
4.35 miles if rounded 4.5 miles
Step-by-step explanation:
7 divided by 1.609 sums up to 4.35052
Wendy wants to run 3 miles. Each lap around the track at her school is 1··8 mile. Wendy wants to figure out how many laps she needs to run.
Answer:
1.6 laps
Step-by-step explanation:
Simply divide 3 over 1.8 to get the number of laps.
didn't find this anywhere. it might help others too. please help
Find the total surface area of this cone.
Leave your answer in terms of pi
12cm
55cm
Answer:
Step-by-step explanation:
write your answer in improper fraction 282 should be written in front of 6 upon 7 this is your answer I hope it helps
four hundred and seventy five learners need to be transported by buses to the athletics track . How many buses are required if 65 learners can fit into each bus ?
Answer:
you are going to need 7
The graph of g is a translation 3 units up, followed by a reflection in the x-axis of the graph of
f(x) = 2 sin x. Which rule represents g?
Answer: NO GRAPH DUMMY
Step-by-step explanation: