The distance between the diagonal and the the perimeter of the field is given by D = 229.2 m
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Miranda is standing at the corner of a 70 m by 110 m soccer field.
Let the dimensions of the rectangle be 70m x 100m
Now , the length of the diagonal is D
And , from the Pythagoras theorem ,
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
D = √ ( 70 )² + ( 110 )²
D = 130.8 m
Now , the perimeter of the rectangle is P = 2 ( 70 + 110 ) = 360 m
And , walking around the perimeter of the field
Now , by cutting across the diagonal instead of walking around the perimeter of the field, Miranda can save approximately 360 m - 130.8 m ≈ 229.2 m.
Hence , the diagonal of the rectangle is 130.8 m
To learn more about diagonal of a rectangle click :
https://brainly.com/question/13583275
#SPJ2
An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they should add the new roller coaster, they poll people at the park to see how many rode the current roller coaster.
As people are leaving the park they randomly sample 600 people.
Out of the 600 people, 400 rode the roller coaster at the park.
Construct a 90% confidence interval to represent the proportion of riders who rode the roller coaster at the park. All conditions for inference have been met.
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The sample size and the estimate are given by:
[tex]n = 600, \pi = \frac{400}{600} = 0.6667[/tex]
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984[/tex]
The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
Find the surface area of the cone in terms of pi. 15cm 3cm
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answer:
12/13
Step-by-step explanation:
We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.
The adjacent side to angle C is BC
The hypotenuse is AC because it is opposite to the right angle
So...
cosine is (BC)/(AC)
36/39
12/13
PLSSS HELP IF YOU TURLY KNOW THISS
3*2/3=2
5- G F -5- Triangle EFG is reflected across the y axis, and then reflected across the x axis. The coordinates of point G before the reflections are (-3.4).
Need a little help!
Answer:
(3,-4)
Step-by-step explanation:
QI=(+,+)
QII=(-,+)
QIII=(-,-)
QIV=(+,-)
Answer:
(3,-4)
Step-by-step explanation:
you are roating the triangle down (across the y-axis) and then moving to the right (across the x-axis). I hope this helps!
Simon and Mike are brothers
and are in charge of
walking their dog Buster. Mike walks the dog
every 3 days and Simon walks the dog every 4
days. On what day will they end up walking Buster
together?
Answer:
1
Step-by-step explanation:
Last year, jess saw x dramas and y comedies at the movie theater. if she went to the theater no more than 8 times, which inequality best represents the number of movies she saw? x y < 8 x y > 8 x y ≤ 8 x y ≥ 8
Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.
InequalityThe inequality that represent the number of movies is: x + y ≤ 8
Where:
x represent drama at the movie theater
y represnt comedies at the movie theater
≤ represent less than
8=Number of times
Therefore the inequality is: x + y ≤ 8.
Learn more about inequality here:https://brainly.com/question/24372553
Answer:
c on edge
Step-by-step explanation:
because i took the test and got a 100
Kyle and Josh have 70 cds. Kyle has 8 more cds than Josh. How many cds does each boy have?
Answer: Kyle has 39 and Josh has 31
Step-by-step explanation:
you do 70-8 which equals 62 then divide by 2 which is 31. But Kyle has 8 more so add 31+8 so Josh has 31 and Kyle has 39
What is the most direct use of a conpass in geometric constructions?
TO MAKE ANGLE THAT ARE NEEDED IN CONSTUCTION
What is the approximate diameter of a sphere with a volume of 113 cm^3
Answer:
B. 6 cm
Step-by-step explanation:
[tex]\text{Take the volume of a sphere and solve for r.}\\V=\frac{4}{3}\pi r^3\\\text{We already know that the volume is 113, so substitute that value.}\\113=\frac{4}{3}\pi r^3\\\text{Divide both sides by 4/3 pi.}\\\frac{113}{\frac{4}{3}\pi}=r^3\\\text{Divide 113 by 4/3 pi.}\\r^3=26.98\\\text{For a more accessible value, round up.}\\r^3 \approx27\\\text{Take the cube root of both sides.}\\r=3[/tex]
Now that the radius is known, all we have to do is multiply it by 2 to get the diameter. Here the answer is simply 3 * 2, or 6.
Answer:
B. 6 cm
Step-by-step explanation:
You can use the formulas [tex]d=(\frac{6V}{\pi } )^{\frac{1}{3} }[/tex] or [tex]d = \sqrt[3]{\frac{6V}{\pi } }[/tex] to solve for diameter using volume. I will use the first forumla for this problem.
1. Substitute 113 for "V":
[tex]d=(\frac{6(113)}{\pi }) ^{\frac{1}{3} }[/tex]
2. Multiply in the parenthesis:
[tex]d=(\frac{678}{\pi } )^{\frac{1}{3} }[/tex]
3. Divide by pi (3.14):
678 ÷ 3.14 = 215.923567
[tex]d=215.9^{\frac{1}{3} }[/tex]
4. Apply the exponent:
d = 5.99907...
d = 6 cm
hope this helps!
Help!!!! I will give Brainlist - Which graph best represents a function with a range of all real numbers greater than or equal to 8?
Answer:
it’s D, I just
Took the quiz
Answer:
Correct answer is C.
Step-by-step explanation.
please answer it correctly
Answer:
40 degrees
Step-by-step explanation:
if the lines are perpendicular, then they are also sharing the same line so that means, its a simple equation of 180-140=40.
Answer:
The value of angle 2 = 40°
Step-by-step explanation:
Given : angle 1 = 140°
angle 1 + angle 2 = 180° { because they are linear pair }
=> 140 + angle 2 = 180°
=> angle 2 = 180 - 140
=> angle 2 = 40°
In ΔFGH, = 440 inches, = 990 inches and ∠G=164°. Find the length of , .
Answer:
1418 ( Hope this helps! )
Step-by-step explanation:
g= 440+990-2(440)(990) cos 164
g=193600+980100-2
g=193600+980100+837451.1895
g= 2011151.1895 Square root and round
help please !! and i’ll mark brainliesttttt
Answer: A
Step-by-step explanation:
Write the equation of a quadratic function for which the graph opens in the same direction as the graph of y = x ^ 2 , is wider than the graph of y = x ^ 2 and is shifted up compared to the graph of y = x ^ 2
Answer:
(1/8)x^2 +3
Step-by-step explanation:
in order to widen the quadratic functions you just need to make the coefficient of x^2 less than 1. and to shift the graph upwards you need to add a positive constant at the end like +2.
answer:
(1/8)x^2 +3
A restaurant chains owners are trying to decide if they want to open up a franchise in your town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain
Answer:
Yes there is a bias, they are only samplying from one resturant. This resturant could be any type of resturant. the food could be bad or good which wouldnt give us the right info we are looking for. You would want to interview as many customers from as many different resturants in that area.
Step-by-step explanation:
What is the surface of the prism?
Given :-
Length :- 8mWidth :- 10Height :- 10mTo find :-
Surface areaSolution :-
formula for Surface Area = 2(LW + WH + HL)
putting the known values,Surface Area = 2(8×10 + 10×10 + 10×8) m²
Surface Area = 2(260) m²
Surface Area = 520m² ( Option C)
Convert 389.1 L to mL
pls help
asap
-
-
-
-
-
thx
Find the area of the triangle at the right. Round to the nearest tenth as needed.
Answer:
A ≈ 62.3 ft²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] product of 2 sides × angle between them , that is
A = 0.5 × 18 × 11.5 × sin37°
= 103.5 × sin37°
≈ 62.3 ft² ( to the nearest tenth )
can anyone help me???
Answer:
6
Step-by-step explanation:
3 3/4 = 15 / 4 = 105 / 28
2 7/28 = 63/28
105/68 + 63/28 = (105 + 63) / 28 = 168/28 = 6
[tex]3 \frac{3}{4 } + 2 \frac{7}{28} [/tex]
to find:the simplest form.
solution:[tex] \frac{15}{4} + \frac{9}{4} [/tex]
[tex] = \frac{(15 \times 4) + (9 \times 4)}{4 \times 4} [/tex]
[tex] = \frac{60 + 36}{16} [/tex]
[tex] = \frac{96}{16} [/tex]
[tex] = 6[/tex]
therefore the correct answer is option C.
Help, question is in the image.
Answer:
the answers are 0.2, 12/50, -40, -6.44
what is the equation (x-10)^2
Answer:
Step-by-step explanation:
(x - 10)² is not an equation. It is in factorized form. If you do not mention the equals sign, then that is not an equation. But however, this factorized form can be converted to expanded form using Algberaic formulae. The formulae are,
(a - b)² = a² - 2ab + b², (a + b)² = a² + 2ab + b²
According to the question,
a = x and b = 10
(x - 10)² = x² - 2 (x)(10) + 10²
= x² - 20x + 100
x² - 20x + 100 is the expanded form of (x - 10)².
There are 3 Red marbles 4 blue marbles and 6 green marbles find the probability you chose a red marble
Probability of picking red = number of red / total marbles.
probability = 3/13
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees. Complete the ratio table to find the number of new Fuji apple trees the owner should plant if they want to maintain the same ratio of Fuji apple trees to Gala apple trees.
Ratio table
Fuji apple trees | __ __ 160
Gala apple trees | 30 __ 120
Please fill in the blank spaces in the table
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table:
Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3
Hence, for 30 new galla trees, number of Fuji trees is:
Fuji trees = (4/3) * 30 = 40
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.
Find out more on equation at: https://brainly.com/question/1214333
64) Ashley bought one package of cherry
tomatoes for $3. How many packages can
DeShawn buy if he has $15
Answer:
DeShawn can buy 5 packages of tomatoes.
Step-by-step explanation:
If Ashley got one for $3, that means DeShawn can five for $15.
15÷3=5
So
$15÷$3=5 packages of tomatoes.
I tried to explain everything. I've bolded the main points. Hope this helps! Good luck!
Can someone please help me im kinda confused
Answer:
The Snack Shop
Step-by-step explanation:
The equation given, y=1.25x means this store sells a bar of granola for $1.25.
The other store sells their granola bar for $1.30.
1.25 is less than 1.30.
Hence, the snack shop sells their granola bars for a lower price.
I’ll markbrainluest A local water park has two types of season passes. Plan A costs a one-time fee of $140 for admission plus $8
for parking every trip. Plan B costs a one-time fee of $50 for parking plus $23 for admission every trip. How
many visits must a person make for plan A and plan B to be equal in value?
Answer:
6
Step-by-step explanation:
140+8X=50+23X
8X-23X=50-140
-15X=-90
X=-90/-15
X=6 TRIPS IS THE ANSWER.
PROOF:
140+8*6=50+23*6
140+48=50+138
188=188
A bakery sold a total of 400 cupcakes in a day, and 184 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
46%
Step-by-step explanation:
184/400=vanilla
184/400=46/100=46%
hope this helps
I need help if anyone minds helping me