Miranda is standing at the corner of a
70 m by 110 m soccer field. She needs
to go to the corner diagonally opposite
from where she is standing. How
much shorter is it if she cuts across the
diagonal instead of walking around
the perimeter of the field? Round your
answer to the nearest tenth.
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
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it takes 24 feet to fence to surround a square piece of land in lindas back yard
The set of ordered pairs below represents a linear function
((-2,-3), (0,-2), (2, -1), (x, y)}
What is another pair of coordinates that could be the missing ordered pair, (x,y),
in this set?
Another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)
Linear functionsLinear functions are functions that have a leading degree of one,
Given the coordinate points ((-2,-3), (0,-2), (2, -1), (x, y)}, we need to determine the missing coordinate points
Since the x-coordinates has a difference of 2, hence the missing x-coordinate is given as:
x = -1 + 2
x = 1
For the y-coordinate
y = -1 + 1
y = 0
Hence another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)
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If the length of a rectangle is 4 more than the width and if the perimeter of the rectangle is 52, what is the width of the rectangle? O 11 O 12 O 15 0 24
Answer:
11
Step-by-step explanation:
Perimeter is figured out by adding all 4 sides.
Width of 11 + width 11 + length 15 + length 15 = 52
And the length of 15 is 4 more than the width of 11
Find the missing angles of the triangle (number 5)
A pair of jeans costs x dollars and is subject to 7% sales tax.
Select an expression that repersents the amount of tax that must be paid.
1. 7ₓ
2. 0.07
3. 0.07ₓ
4.7
How many times did a batter come to the plate during the time period?
Answer:
1610 times
Step-by-step explanation:
Number of times a batter came to the plate
Number of left-handed batters + Number of right-handed batters1193 + 4171610 timesURGENT PLEASE IM BEING TIMED!!!
What are the solutions to the system of equations graphed below?
(-5, -4) and (2, 0)
(0, 4) and (2, 0)
(-5, -4) and (0, -1)
(0, 4) and (0, -1)
Answer:
(2,0)
(-5,-4)
Step-by-step explanation:
you first have to determine where the two graphs intersect, then easily you should write the (x,y) of the point in which there is an intersection
what is the decimal equivalent of 5/9?
A.0.35
B.0.5
C 0.59
D. 0.72
Pls help my grades are bad
Answer:
Answer is [tex]m(-1/2)=-1/12[/tex]
Step-by-step explanation:
[tex]m(-\frac{1}{2})=\frac{1}{6} *-\frac{1}{2} =-\frac{1}{12}[/tex]
Circle A and Circle B have radii of 8 cm and 5 cm. BC and BD are tangent to Circle A. Find CF
Use the image above to identify and explain the relationship between the segments and circles A and B. In your
explanation, be sure to include specific vocabulary and definitions for the relationships.
PS
Answer:
Step-by-step explanation:
From the given figure, it can be seen that there are two circles with centers A and B respectively. The circle with the center A is larger in size than the circle with center B. Points P, Q and E lie on the surface of the circle having center A and R, S, C and T points lie on the circle having center B.
One tangent passes from the point Q of the one circle to the point T of the another circle and the other tangent passes from point R of the smaller circle to the point E of the larger circle. These two tangents intersects each other outside both the circle. There is another tangent which passes from the point C of the smaller circle to a point D lying outside the circle.
Tan^-1(-1) in radians in term of pi
Answer:
Step-by-step explanation:
Tan = - 1 occurs at 3pi/4 and 5pi/4 R
Karl earns $8.50 per hour at his part-time job. Last week he worked 18 hours. This week he worked 14 hours. What is the total amount of money that Karl earned for working these two weeks?
After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an additional 15 students. How much money did each of these students receive?
Answer:
pls like and make me brainliest :)
Step-by-step explanation:
1275 divided by 15=$85 each
Maria deposited 1200 in savings account for 5 years. The
interest rate is 4. 5%. What will be total balance in her account
after 5 years.
Answer:
compound interest would be,
1495.91
and simple interest would be,
1470
Step-by-step explanation:
compound interest would look like,
1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045
and simple interest would look like,
1200 x 0.045 = 54 = 4.5%
54 x 5 = 270
1200 + 270 = 1470
Brandon knows that 2,724 x 19 = 51.756
Use this understanding to help Brandon solve 272.4 x 1.9.
Choose 1 answer.
A. 5.1756
B. 51.756
C. 517.56
D. 5,175.6
Answer:
B po sure po ako
Step-by-step explanation:
keep. learning po
Find the equation of the line shown
Answer:
y = 2x
Step-by-step explanation:
Use y = mx + b to write an equation. The y-intercept is zero. This is where the line crosses the y -axis, kind of the "starting point" So in the equation the b is a zero.
You can grab a couple points from the line to do a calculation for slope. BUT, you can actually SEE the slope on this line and save yourself the calculation. Starting from zero, see that you go UP 2 and OVER 1 to get to the next point. UP2OVER1 gets you to the next point and the next point. UP2OVER1 is the slope 2/1, which is 2, which is the m in the equation.
y = 2/1 x + 0
y = 2x + 0
y = 2x
**in case you have to show a calc for slope. Grab two points and do y-y, put that on top and then x-x and put that on the bottom.**
this is slopes and graphing and i dont know how to do it
Answer:
Slopes is like a slide
Step-by-step explanation:
let me slide into you snap ajhare03
Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the two functions. over the interval , the average rate of change of g is greater than the average rate of change of f. as the value of x increases, the average rates of change of f and g , respectively. when the value of x is equal to 8, the value of . it can be further generalized that a quantity increasing exponentially will exceed a quantity increasing linearly.
The answers will be:
(4, 5)remain constant and increaseg(x) exceeds the value of f(x)What is Slope and curve?a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
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1. (4,5)
2. remain constant and increase
3. g(x) exceeds the value of f(x)
4. eventually
Step-by-step explanation:
a box contains 20 yellow cubes and 8 grey cubes and 16 gold cubes what is ratio of yellow to grey to gold in its simplest form
Answer:
5:2:4
Step-by-step explanation:
20:8:16
= 5:2:4
Hope this helps =)
Please help out its only one question
Answer:
(2x + 1) (4x + 1)
Step-by-step explanation:
8x^2 + 6x + 1
2x 1
4x 1
(2x + 1) (4x + 1)
Answer:
(2x+1)(4x+1)
Step-by-step explanation:
[tex] {8x}^{2} + 6x + 1[/tex]
Step 1) Rewrite 6x as a sum:
[tex] {8x}^{2} + (4x + 2x) + 1[/tex]
Step 2) Factor out 4x:
[tex]4x(2x + 1) +( 2x + 1)[/tex]
Step 3) Factor out (2x +1):
[tex](2x + 1)(4x + 1)[/tex]
A teacher instructed her students to draw an isosceles triangle that has at least one angle that
measures 75° and exactly one side that measures 12 centimeters.
Using the teacher's instructions, how many different triangles can be drawn that have the same
angle and side measures? Enter your answer in the box.
The number of different triangles that can be drawn that have the same angle and side measures will be 2.
What is an isosceles triangle?It should be noted that an isosceles triangle simply means a triangle that has two sides that are of equal length.
In this case, the number of different triangles that can be drawn that have the same angle and side measures will be 2. The angle is 75° and side length is 12cm.
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pls help !!!!!
Match each inequality with the number line that represents it.
Answer:
1. x < 3
2. x ≥ 3
3. -3 > x
4. x ≤ -3
5. 3 < x
6. -3 ≤ x
Step-by-step explanation:
To find out whether the circle will be opened or closed, look at the sign. If the sign is "<" or ">", then the circle will be open. If the sign is either "≤" or "≥", then the sign will be closed.
To decide if the arrow goes right or left, again, look at the sign. If the arrow is going left, then that means x is less than whatever value the circle is at. If the arrow is going right, then x is greater than whatever value the circle is on.
Using this information, you can figure out which inequality matches each number line.
hope this helps!
what's the constant rate on this?
Answer:
Constant Rate = -2
Step-by-step explanation:
To find the constant rate or slope, you can use Change in Y-Value/Change in X-Value using two points. (Rise/Run). You can use any two points.
From that you should be able to get -2.
10.) It costs $5 to enter the arcade and $0.75 for every game you play once inside.
You have
$20 to spend. How many games can you play?
Write
an equation using g to stand for the games. Solve your equation for g.
Answer:
y=0.75x+5
Step-by-step explanation:
x=20
y=20
20-5=15
15/0.75=20
20 games
is the following a statistical question? how many quarts are in a gallon
Answer:
No
Step-by-step explanation:
A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.
Based on her past experiences, a homeowner estimates that appliances lose 25% of their resale value each year. If her estimate is accurate, how much will an appliance currently valued at $1,500 be worth in 8 years?
Using an exponential function, it is found that an appliance currently valued at $1,500 will be worth $150.17 in 8 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that:
The appliance is currently valued at $1,500, hence A(0) = 1500.It loses 25% of their resale value each year, hence r = 0.25.Thus, the equation is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 1500(1 - 0.25)^t[/tex]
[tex]A(t) = 1500(0.75)^t[/tex]
In 8 years, the value will be given by:
[tex]A(8) = 1500(0.75)^8 = 150.17[/tex]
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find the measure of angle R
please help!
Answer:
68
Step-by-step explanation:
The shape is 5 sides polygon.
Sum of interior angles of a 5 sided polygon = 540,
7x + 4 + 8x + 3 + 4x + 8 + 10x - 4 + 6x + 4 = 540
7x + 8x + 4x + 10x + 6x + 4 + 3 + 8 + 4 - 4 = 540
35x + 4 + 3 + 8 = 540
35x + 15 = 540
35x = 540 - 15
35x = 525
Divide 35 on both sides,
x = 525 / 35
x = 15
Angle R = 4x + 18
Substitute the value of x,
Angle R = 4 ( 15 ) + 8
= 60 + 8
Angle R = 68
52% of 1000 registered voters intend to vote for Steven Collins for mayor. Based on a 95% confidence interval, can we assume that Steven Collins will win the election if all votes are cast for either him or his opponent, Eric Camden?
A. Cannot be determined as samples cannot reliably be used to estimate population parameters
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes
C. Yes, 52% is a majority of the votes
D. No, sampling variation causes all confidence interval conclusions to be questionable.
Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.
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 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
In this problem, the parameters are given as follows:
[tex]\pi = 0.52, n = 1000[/tex]
Hence, the bounds are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]
The lower bound is below 0.5, hence option B is correct.
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