Answer:
Patrick walk approximately 112 yards.
Step-by-step explanation:
Given:
A rectangular field is 50 yards wide and 100 yards long.
Patrick walks diagonally across the field.
Now, to find the distance he walk.
Length of the field = 100 yards.
Width of the field = 50 yards.
Now, to get the diagonal distance we put formula:
[tex]Diagonal = \sqrt{length^2+width^2}[/tex]
[tex]Diagonal = \sqrt{100^2+50^2}[/tex]
[tex]Diagonal = \sqrt{10000+2500}[/tex]
[tex]Diagonal = \sqrt{12500}[/tex]
[tex]Diagonal = 111.80[/tex]
Therefore, Patrick walk approximately 112 yards.
Using the Pythagorean Theorem, we find that the diagonal distance Patrick walks across the rectangular field is approximately 111.8 yards.
Explanation:To find how far Patrick walks when he travels diagonally across the rectangular field, we need to use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The rectangular field forms a right triangle when we draw the diagonal. One of the other sides of this triangle is the width of the rectangular field, and the other side is the length. So the lengths of the two sides of the right triangle are 50 yards (width) and 100 yards (length).
Applying the Pythagorean Theorem, we get the square of the hypotenuse (diagonal) equal to the square of 50 yards (2500 yard2) plus the square of 100 yards (10000 yard2). This results in 12500 yard2. The length of the diagonal is then the square root of 12500 yard2, which is approximately 111.8 yards.
So, Patrick walks about 111.8 yards when he travels diagonally across the field.
Learn more about Pythagorean Theorem here:https://brainly.com/question/19649203
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Which text feature best indicates that this workplace document is also a procedural document
Answer: b) the numbering
Step-by-step explanation:
the definition of a procedure is “ a series of actions conducted in a certain order or manner”
Laurie wants to buy a new sweater that costs $45. The sweater is on sale for 25% off and 6.75% sales tax will be applied to the purchase. What will be the total cost of the sweater?
Answer:
36.03 dollars.
Step-by-step explanation:
Hope this helps!
Answer: $36.03
Step-by-step explanation: 25% of $45 is $11.25, and 45-11.25 is 33.75. The sales tax is $2.28, and that plus $33.75 is $36.03.
Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. All of the apples are whole. What are the three different possibilities for numbers of apples that could be in the baskets?
Answer:
If Alice has 2, Claire has 6
If Alice has 4, Claire has 12
If Alice has 10, Claire has 30
Step-by-step explanation:
apples = Alice + (Alice x 3)
How can you make 64, multiplying just two numbers?
These are all the answers to this question!
1 x 64 = 64
2 x 32 = 64
4 x 16 = 64
8 x 8 = 64
16 x 4 = 64
32 x 2 = 64
64 x 1 = 64
Answer:
Hope this helps!
Step-by-step explanation:
1 times 64
8 times 8
64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64.
Which order does it go?
can sb please answer this
Answer:
A
Step-by-step explanation:
A line of best fit needs to match the direction of the points and fit in-between the points as much as possible
C is not the right direction
D is not the right direction
B is to the left of the points
I nreed help aspa plzzzzzzzzz
Need Help With This Question
Explain your Reasoning Plz!!!!
Answer:
Yes
Step-by-step explanation:
If you have an equalateral triangle with the angle in the bottem left corner, then flip it sideways,right and do the same with the other but, left, it can make a straight angle
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|_____\
Answer:
yes
Step-by-step explanation: you can have 2 copies and then add 60 3 times and thats 180 which is what is a straight angle hope this helps god bless
Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment . What is the length of ?
Answer:
5 units long because when you have a translation the length, size and shape of the segment doesn't change it's just moved over on the coordinate plane.
A full jar of honey weighs 750 grams, and the same jar two-thirds
full weighs 550 grams. What is the weight of the empty jar in grams
Answer:
150 grams
Step-by-step explanation:
The weight of the full jar of honey is equivalent to x + y, where x is equal to the weight of honey and y is equal to the weight of the jar.
x+y = 750
2x/3+y = 550
You can solve for y in the first equation and get:
y = 750-x
Plug that in to the second equation and you get:
-x/3+750 = 550
Subtract 750 from both sides:
-x/3 = -200
Multiple -3 on both sides:
x = 600 grams
The weight of the jar is 750-600 or 150
Mrs Lopez drives a number of miles north. Then she drives 34 miles west. She drives 94 miles in all. Complete the number sentences to show how many miles she drives north.
? +_ = _ and _ - _ = ?
Answer:
60
Step-by-step explanation:
number of miles driven north plus 34 equal 94.
subtract 94 from 34 to get your answer.
Mrs. Lopez drives 60 miles north.
The completed number sentences are:
60 + 34 = 94 and 94 - 34 = 60.
What is number sentence?Let's assume Mrs. Lopez drives x miles north.
The number sentence for the total distance she drives can be written as:
x + 34 = 94
This equation represents the sum of the distance she drives north (x) and the distance she drives west (34), which equals the total distance she drives (94).
To find the value of x, subtract 34 from both sides of the equation:
x = 94 - 34
Simplifying the expression, we have:
x = 60
Therefore, Mrs. Lopez drives 60 miles north.
The completed number sentences are:
60 + 34 = 94 and 94 - 34 = 60.
Read on number sentences on https://brainly.com/question/28839703
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Geometry
An angle is formed by:
Answer:
An angle is formed by the two rays.3 packages of cheese for $7.17
6 packages of cheese forx dollars
Answer:
$14.34
Step-by-step explanation:
Do 7.17 divided by 3 which is 2.39.
Then multiply that with 6. That is your answer.
Please solve:
9x-14=9x+1
Step-by-step explanation:
there is no solution for this equation
5/6 minus 1/4 i am too lazy to do it myself
Answer:
Step-by-step explanation:
Answer :5/6 - 1/4 = 7/12 get same denominator and subtract.
Hope this will help u..
help me solve -2m-40
Answer:
-42
Step-by-step explanation:
Wouldn't you just do -2 minus 40 and get -42
Answer:
-2(m+20)
Step-by-step explanation:
We can factor out a GCF of -2
-2m-40
-2(m+20)
We can't solve for m because this is not an equation.
Hope this helps! :)
find the missing angle.. x=??
Answer: 55°
Step-by-step explanation:
The Angles, 35° and x are equal to a right angle. Right angles are always 90°, which means that 35 + x = 90. Therefore 90°- 35° = 55°.
Answer: 90-35= 55
Step-by-step explanation:
In OY, shown below, the radius is 34 units, AB = 60 units, and the measure of arc AC is 71 degrees.
Find each measure.
Answer:
1. 71
2. 142
3. 30
4. 30
5. 16
6. 18
I need help with this I will mark brainiest answer if it is correct please help
Answer:
C=40030.17
Step-by-step explanation:
2 x pi x 6371 =40030.17 hope this is what you're looking for :)
Salma suggested they sol a Grande box with 24 cupcakes. The ratio of
chocolate to vanilla cupcake is the same ratio of chocolate to vanilla for the
small box. Salma says that she can use equivalent ratios lo find how many
cupcakes in the Grande box are chocolate. What does she mean by that? How
many chocolate cupcakes will that be?
Answer:
12... If there is an even ratio between the two, then there is an even amount, so you divide 24 by 2 and you have 12 chocolate and 12 vanilla cupcakes in the Grande box.
Step-by-step explanation:
It izz wat it izzzz!!!
:)
Answer:
If the ratio of chocolate to vanilla cupcakes is the same, that would make there 12 chocolate and 12 vanilla cupcakes. She means that she can use equivalent ratios by, lets say the grande box had 100 cupcakes, then we know 50 are chocolate. We don't know how many chocolate cupcakes that will be because we don't know how much bigger the bigger box of cupcakes is.
Step-by-step explanation:
5 points
Justin and TJ are servers at a local restaurant. The table below shows the
tips they earned. Which student has a lower mean tip for the week and by
how much?
Tips
Monday
Tuesday
Wednesday
Thursday
Friday
Justin
$32
$45
$50
$33
$50
T.J.
$58
$48
$40
$42
$42
Answer:
Justin has a lower mean tip for the week with $42.
Step-by-step explanation:
To find the mean you must add all the numbers and then divide the sum by how many numbers there are.
For Justin you must add 32 + 45 + 50 + 33 + 50 then you'll get the sum 210. There are 5 numbers so you divide 210 by 5 which gives you the quotient 42.
As for T.J. you add 58 + 48 + 40 + 42 + 42 which gives you the sum of 230. Then you divide 230 by 5 since there's 5 numbers. Now you have the quotient of 46.
46 is greater than 42 so Justin has the lower mean.
Answer:
Justin by 4
Step-by-step explanation:
you add all the numbers for T.J. and for Justin separately and divide by five. you get 42 for Justin and 46 for T.J.
-plz mark as brainliest-
What is the degree of the polynomial
T-4t^2+t^3
Answer:
3 degrees.
Step-by-step explanation:
At a pet store, Rhonda paid $11.50 for 3 dog bowls and 4 bones.
Kelly paid $13 for 2 dog bowls and 8 bones. How much will Andrew
pay for 4 dog bowls and 2 bones?
help
Answer:
$8.75
Step-by-step explanation:
Lets put the number of dog bowls as "x" and the number of bones as "y" When we write the equation it comes out like this:
3x+4y=$11.50
2x+8y=$13
Make the "x" equal on both side so we find the lcm of 3 and 2 which 6 so we multiply 2 on the top and 3 on the bottom which changes the equation to
6x+8y=$23
6x+24y=$39 Then we subtract which equals
-16y=-$-13
y=13/16 or 0.8125 we put the "y" on the equation which makes
3x+3.25=11.50 To solve the question: 4(13/16) + 2(2.75)=$8.75 3x=8.25: x= 2.75
Final answer:
Andrew will pay $12 for 4 dog bowls and 2 bones, after calculating the individual prices of the items by setting up and solving a system of equations based on Rhonda's and Kelly's purchases.
Explanation:
To determine how much Andrew will pay for 4 dog bowls and 2 bones, we need to establish the price of a single dog bowl and a single bone. We can do this by setting up two equations based on the transactions made by Rhonda and Kelly.
Let B be the price of one dog bowl and O the price of one bone. Therefore, Rhonda's purchase gives us the equation 3B + 4O = $11.50. Kelly's purchase gives us the equation 2B + 8O = $13.
We can solve this system of equations either by substitution or by the elimination method. In this case, elimination may be more straightforward:
Multiply the first equation by 2, which gives us 6B + 8O = $23.We now subtract Kelly's equation from this, resulting in (6B + 8O) - (2B + 8O) = $23 - $13, simplifying to 4B = $10.Now we know that one dog bowl costs B = $2.50.To find the cost of one bone, we substitute B = $2.50 into either of the original equations. Using Rhonda's equation: 3($2.50) + 4O = $11.50, which simplifies to $7.50 + 4O = $11.50, and further to 4O = $4, meaning O = $1.00.With the prices determined, Andrew's total cost for 4 dog bowls and 2 bones will be 4B + 2O, which equates to 4($2.50) + 2($1.00).Calculating this gives us $10 + $2, which is a total of $12 that Andrew will pay.Given the three side lengths, how can you tell if a triangle is a right triangle?
Answer:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Answer:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Step-by-step explanation:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Given that,
The three side length should be given. Now in order to prove the triangle is a right triangle. The following information should be considered.The side length should be squared. The longest length side should be squared and equivalent to the sum of the square of the other two side length. Also we called as the pythagoras theorem.Learn more: brainly.com/question/17429689
220 degrees converted to radians
Answer:
3.83972
Step-by-step explanation:
give me the heart
my answer is correct
Answer:
11 pi/9 radians
Step-by-step explanation:
To convert degrees to radians, multiply by pi/180
220 * pi/180
220pi/180
11 pi/9
what is the area of the base in the figure below? A cylinder with height 12and diameter 6
If a/b=5/3 then 3a = ____.
Answer: 15
Step-by-step explanation:
If a/b is equal to 5/3 then a= 5 and b= 3
3a is equal to 3 times a which is equal to 3*5
3 times 5 is 15 so 3a=15
0.054452 5 .S.F help please and answer please
Answer:
0.054450
Step-by-step explanation:
Since we are to round up to 5 significant figures
Always remember that if there's zero after the decimal point,it means the zero will be neglected
So we will have to take the count from after zero
0.054452
So to round up to 5 SF
0.054450
What is the value of n that makes the expression (-5y + 4) + (7y - 9) equivalent to ny – 5?
Answer:
2
Step-by-step explanation:
If we evaluate (-5y + 4) + (7y - 9), we get 2y - 5.
Therefore, N must equal 2.
Can anyone please help me with this?
1.
20 pounds of strawberries
5 persons
20 ÷ 5 = 20 pounds ÷ 5 persons = 4 pounds per person
Answer: 4 is the pounds per person, how much each person received
2.
20 pounds of strawberries
5 pounds per person
20 ÷ 5 = 20 pounds ÷ 5 pounds/person= 4 persons
Answer: 4 is the number of people we're splitting among