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Answer:
√(100² + 60²) = √(10,000 + 3,600) = √13,600 = 20√34 = about 116.6 m
116.6 goes into the box.
Related Questions
when the handles are lifted 7.5 centimeters, the load is lifted 3 centimeters. What is the mechanical advantage of this lever?
Answers
Answer:
2.5 :)
Step-by-step explanation:
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF? √10
Answers
Answer:
The length of EF is [tex]4\sqrt{17}[/tex] units.
Step-by-step explanation:
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1).
Using distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]BC=\sqrt{(3+1)^2+(1-2)^2}=\sqrt{17}[/tex]
It is given that ΔDEF ∼ ΔABC.
If two triangles are similar then the corresponding sides are proportional.
[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
[tex]\frac{AB}{4AB}=\frac{BC}{EF}[/tex] (DE = 4AB)
[tex]\frac{1}{4}=\frac{BC}{EF}[/tex]
[tex]EF=4\times BC[/tex]
[tex]EF=4\times \sqrt{17}[/tex]
[tex]EF=4\sqrt{17}[/tex]
Therefore the length of EF is [tex]4\sqrt{17}[/tex] units.
If i=Square root of -1, what is the value of i^3?
A.-1
B.i
C.1
D.-i
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i = root (-1)
i = (- 1) ^ (1/2)
Then, we have to
By properties of exponents:
i ^ 3 = i ^ 2 * i
Substituting the value of i:
i ^ 3 = ((- 1) ^ (1/2)) ^ 2 * i
Applying properties of exponents:
i ^ 3 = ((- 1) ^ (1/2)) * ((- 1) ^ (1/2)) * i
i ^ 3 = ((- 1) ^ ((1/2) + (1/2)) * i
i ^ 3 = ((- 1) ^ ((2/2)) * i
i ^ 3 = ((- 1) ^ (1) * i
i ^ 3 = -1 * i
i ^ 3 = - i
Answer:
D.-i
need help with my hw
Answers
Find the volume of each cone please help me with number 20 please
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18. 602.88ft.
20.132.46875in.
Identify a sequence of transformation that maps triangle ABC onto A"B"C" in the image below.
A. Clockwise 270 degrees rotation; reflection over the X-axis
B. Counterclockwise 90 degrees rotation; reduction
C. Counterclockwise 270 degrees rotation; reflection over the Y-axis
D. Enlargement; clockwise 90 degrees rotation
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Question 15 please
Please show work and Thank you for your time
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∠EAD ≅ ∠CAB . . . . . . reflexive property. An angle is congruent with itself.
∠AED ≅ ∠ACB . . . . . . given
ΔABC ≅ ΔADE . . . . . . angle-angle similarity: If two angles are congruent, all three angles are congruent and the triangles are similar.
Owen plots the numbers 4, ???6, ???8, and ???3 on a horizontal number line. Which list shows the numbers in the order in which they would appear from left to right on the number line?
???8, ???6, ???3, 4
???3, ???6, ???8, 4
???3, 4, ???6, ???8
???8, ???6, 4, ???3
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Answer:
The answer is a. the real answer
Step-by-step explanation:
An app developer projects that he will earn $22.00 for every 8 apps downloaded. Write an equation to represent the proportional relationship between the number of apps and the total earnings.
Answers
Answer:
y = ($2.750 / app) . x
Step-by-step explanation:
Let's call
x = number of appsy = earned moneyThere is a linear relation between x and y, that follows the general form:
y = a . x + b
where
a is the slope
b is the y-intercept
The slope is:
Δy / Δx = $22.00 / 8 app = $2.750 / app
The, we have
y = ($2.750 / app) . x + b
When x = 0 (no app has been sold), y = 0 (no money has been earned).
0 = ($2.750 / app) . 0 + b
b = 0
The equation representing the proportionality between x and y is:
y = ($2.750 / app) . x
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answers
Order the following sets of numbers from least to greatest 2.1 notation bar,-2.1,2 1/11,-2
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-2.1, -2, 1/11, 2
The graph shows how the cost of gasoline
Answers
What is 7.3 x 10^2 = !????
Help!?
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[tex]10^2 = 10(10) = 100 \\ \\ \\ 7.3(100) = 730 \\ \\ \\ \\ \\ Answer: 730[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Each of the two congruent sides of an isosceles triangle is 8 inches less than twice the base.the perimeter of the triangle is 74 inches ,what is the length of the base
Answers
congruent side = 2x-8
perimeter=2 congruent sides +base
2(2x-8)+x=74
4x-16+x=74
5x=58
x=11.6
length of the base is 11.6 inches
The length of the base of the isosceles triangle is 18 inches.
Explanation:Let the length of the base be 'b' inches. According to the given information, each of the congruent sides of the isosceles triangle is 8 inches less than twice the base. So, the length of each congruent side is (2b - 8) inches.
The perimeter of the triangle is the sum of all three sides, which is given as 74 inches. So, we can write the equation:
(2b - 8) + (2b - 8) + b = 74
Simplifying the equation, we get:
5b - 16 = 74
5b = 90
b = 18
Therefore, the length of the base is 18 inches.
Learn more about Length of Base here:https://brainly.com/question/9183298
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Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks? A. $18.12 B. $115.96 C. $116.06 D. $116.16
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$48.97 + $67.09 = $116.06
The shaded area represents a cement walkway around a pool. State the algebraic expression that represents the difference between the outside perimeter of the walkway and the perimeter of the pool.
Answers
Smaller perimeter : 2(2x-1)+2(12)=4x+22
Large perimeter - smaller perimeter = 4x+28
The difference between the outside perimeter of the walkway and the perimeter of the pool in algebraic expression is (2x + 14).
How to solve perimeter of rectangle?Pool:
Length = 2x - 1
Width = 12
The perimeter of the pool = 2(length + width)
= 2{(2x - 1) + 12}
= 2(2x - 1 + 12)
= 2(2x + 11)
= 4x + 22
Outside perimeter of the walkway:
Length = (2x - 1) + x
= 3x - 1
Width = 12 + 7
= 19
The perimeter of the walkway = 2(length + width)
= 2{(3x - 1) + 19}
= 2(3x - 1 + 19
= 2(3x + 18)
= 6x + 36
Difference between the outside perimeter of the walkway and the perimeter of the pool = The perimeter of the walkway - The perimeter of the pool
= (6x + 36) - (4x + 22)
= 6x + 36 - 4x - 22
= 2x + 14
Hence, (2x + 14) is the expression which represents the difference between the perimeter of the walkway and the perimeter of the pool.
Read more on perimeter:
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Determine which of the following expressions simplifies to x - 4y. Select all situations that apply.
-x(-2 + 8y)
-(-2x + 8y)
3(x - 2y) + 2(y - x)
(y - x)(-2) (-2)
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Proof:
Simplify the following:
3 (x - 2 y) + 2 (y - x)
3 (x - 2 y) = 3 x - 6 y:
3 x - 6 y + 2 (y - x)
2 (y - x) = 2 y - 2 x:
3 x - 6 y + 2 y - 2 x
Grouping like terms, 3 x - 6 y - 2 x + 2 y = (3 x - 2 x) + (2 y - 6 y):
(3 x - 2 x) + (2 y - 6 y)
2 y - 6 y = -4 y:
-4 y + (3 x - 2 x)
3 x - 2 x = x:
Answer: x - 4 y
Answer:
The above one is partly correct the answer (for odyssey ware) is (-(1)/(2)x+2y)(-2)
-(1)/(2) (-2 x + 8 y)
and 3( x - 2 y) + 2( y - x)
Hope this helps people in the future ☜(ﾟヮﾟ☜)
Step-by-step explanation:
Checking on answer to this
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so if 5 people each take 2/10 that is equal to
2/10 x 5 = 10/10 thus 1
so none of the pie is left
A carpenter makes custom desks. He currently has 7 desks in his showroom. If he can build 3 desks each week, how many weeks will it take him to have a total of 22 desks?
Answers
He already has 7 desks
Subtract 7 from 22
Leaves him 15
Divide by 3
Answer is 5 weeks
Identify the corresponding word problem, given the inequality: 16x ≥ 384
A) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
B) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
C) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will not need more than 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
D) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 24 bottles of water. If a bottle holds 16 ounces of water, what is the total amount of water he will need?
Answers
The problem is represented correctly by the inequality shown:
16x ≥ 384
Where,
x: is the number of 16 oz water bottles.
The key word to notice is:
"he will need AT LEAST 384"
It means that you may need 384 or more ounces of water.
Subtract.
(6k+2)−(3k−2)
Enter your answer, in simplified form, in the box.
Please answer!
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Help help help help help
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I’m not 100% sure but it is my best guess
Factories and solve x^2 +x -12=0
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____________________________________________________
The solutions are: " x = - 4 " and " x = 3 " .
____________________________________________________
Note:
____________________________________________________
Factors of "-12" that, when added up", equal " +1 " ;
→ { Note: Refer to: "+1x" .}.
- 4, 3 : -4 + 3 = -1
4, -3 : 4 + (-3) = 4 -3 = 1 . Yes!
_______________________________________________
So: " (x + 4)(x –3) = 0 " ; x = - 4, and x = 3 .
_______________________________________________
The annual inflation rate is 3.5% per year. If a movie costs $7.50, determine which of the following graphs best models the change in price, with respect to time, of the movie ticket.
Answers
c (t) = (7.50) * (1.035) ^ t
Where,
c (t): cost of the movie after t years.
7.50: initial cost of the movie in $
1,035: annual percentage increase due to inflation.
t: time in years.
for t = 0 We have:
c (t) = (7.50) * (1.035) ^ 0
c (t) = (7.50) * (1)
c (t) = 7.50
Answer:
The graph that best models the function is:
GRAPH 2 (from left to right).
Answer:
Step-by-step explanation:
Let's model the cost by the following exponential function: c (t) = (7.50) * (1.035) ^ t Where, c (t): cost of the movie after t years. 7.50: initial cost of the movie in $ 1,035: annual percentage increase due to inflation. t: time in years. for t = 0 We have: c (t) = (7.50) * (1.035) ^ 0 c (t) = (7.50) * (1) c (t) = 7.50 Answer: The graph that best models the function is: GRAPH 2 (from left to right).
the speed of an object in space is shown in the graph
what is the slope of the line ?
Answers
Answer:
Step-by-step explanation:
The answer is fifteen
Explanation: 6-3/0.4-0.2=3 over 0.2 which is equivalent to 15
Answer B: 15
Step-by-step explanation:
A bicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. a wheel on one of the other companies new cross-country bike has 32 spokes. Which equation could be used to determine the number of spokes that a wheel on a cross country bike used to have?
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The original number of spokes on the wheel was 36.
The question seeks to determine the original number of spokes on a bicycle wheel, given that the current number is 32 after reducing by 4. To find the original number of spokes, we need to use a simple algebraic equation that adds the removed spokes back to the current number.
Let x represent the original number of spokes. The manufacturer has reduced the number of spokes by 4, so we subtract 4 from the original number to get the current number of spokes. The equation that represents this scenario is:
x - 4 = 32
To find the original number of spokes, we need to solve for x:
x = 32 + 4
x = 36
Therefore, the original number of spokes on the wheel was 36.
light travels at a rate of 1.86 x 10^5 miles per second. if the distance from a star to a planet and its orbit is 32,000,000 miles, find how long it takes to light of the star to reach the planet in seconds.
Answers
Light travels at 1.86x10 to the 5th in another word 1.86000 ( 186k ). The planet is 32,000,000 miles away ( 32 million miles ) 32 million divide by 186k = 172.043010753
There is your answer. IT WILL TAKE LIGHT 172.043010753 ( YOU CAN ROUND IT UP ) SECONDS TO REACH THE PLANET.
I hope it helped you out. You can contact me on instagram ( nymul_yt ) and let me know if you got it or get it right. I will try to answer all of your astronomy question. Me and my friend love astronomy. Astronomy is what we live for.
Solve the following system of equations by linear combination:
3d – e = 7
d + e = 5
The solution is (3, 2).
The solution is (2, –1).
There is no solution.
There are an infinite number of solutions.
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d + e = 5
-------------
4d / = 12
d=12:4
d=3
3+e=5
e=5-3
e=2
the solution is (3,2)
Which expression represents the product of Z and 7?
A. Z+7
B. Z-7
C. Z•7
D. Z divided by 7
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Sylvia has 3/4 of a yad of paper to wrap candles. It takes 1/8 of a yard of paper to wrap each candle. How many candles can Sylvia Wrap?
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Sylvia can wrap 6 candles.
To find out how many candles Sylvia can wrap with 3/4 of a yard of paper, we need to divide the total paper by the paper needed for each candle. Since it takes 1/8 of a yard to wrap one candle, we can find the number of candles by dividing 3/4 by 1/8:
3/4 ÷ 1/8 = 3/4 x 8/1 = 6 candles
Therefore, Sylvia can wrap 6 candles with the available paper.