An airplane is flying diagonally across the state of Colorado. This state and its
dimensions are represented by the rectangle on the map shown.
Based on the measurements shown in the map, which measurement is closest to the
distance in miles the airplane will fly along the diagonal?
Answer:
C
Step-by-step explanation:
The measurement is closest to the distance in miles the airplane will fly along the diagonal is given by D = 476.1 miles
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 ,
Let the dimensions are represented by the rectangle be 280 mi x 385 mi
So , the length of the rectangular path L = 280 miles
The width of the rectangular path W = 385 miles
And , the distance in miles of airplane along the diagonal is given by
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
On simplifying , we get
The distance along the diagonal D = √ ( 280 )² + ( 385 )²
The distance along the diagonal D = √ ( 78400 + 148225 )
The distance along the diagonal D = √ ( 226625 )
The distance along the diagonal D = 476.1 miles
Hence , the distance is D = 476.1 miles
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The complete question is given below :
An airplane is flying diagonally across the state of Colorado. This state and its dimensions are represented by the rectangle on the map shown
280 mi
385 mi
Based on the measurements shown in the map, which measurement is closest to the distance in miles the airplane will fly along the diagonal?
A 665.0 mi
B 25.8 mi
C 36.4 mi
D 476.1 mi
Find 7.1 times the diffrence between 60 and 14
Answer:
326.6
Step-by-step explanation:
First, find the difference between 60 and 14; 60-14=46
7.1 times the difference; the difference is 46
7.1 times means to multiply; 7.1*46=326.6
hopefully this helped
5 square root 18x2y5 simplify work shown plz
Answer:
mhhhhhmhmhhm
Step-by-step explanation:
Please help me this due in 10mins
Answer:
not sure but i think 57.5
Step-by-step explanation:
Answer:
57.5 gallons of milk 1.15
Step-by-step explanation:
So first you need to find how much milk is needed for 1 pound of cheese so 2.3 ÷ 2= 1.15
so the you would do
1.15×50=57.5
In a cuboid, each face is a ____________.
Which statement best describes the relationship between x and y in the equation y = 6 + x?
A The value of y is six less than the value of x.
B The value of y is six times the value of x.
C The value of x is six more than the value of y.
D The value of y is six more than the value of x.
Answer:
A. The Value of y is six less than the value of x
Step-by-step explanation:
This is because the value of x is equal to y when six is added.
3 over 2 to the 3rd power
Answer:
0.375
Step-by-step explanation:
Answer:
3.375
Step-by-step explanation:
What is the median of the data set represented by the dot plot?
..
Enter the answer in the box
10 11 12 13 14 15 16 17 18 19 20
Which equation can be used to verify that 534 – 68 = 466?
Answer:
466 + 68
Step-by-step explanation:
We can easily check a subtraction problem with an addition problem.
Calculate the sum of the subtracted and the difference. If the sum is equal to the minuend in the original subtraction problem, the answer is correct.
Minuend - Subtrahend = Difference
466 + 68 = 534
The statement '534 – 68 = 466' is correct.
Hope this helps.
Answer:
68+566
Step-by-step explanation:
to tell if you have the right number or answer make sure if it's addition just subtract it and see what you get
Need help due today at 4:00plz help!!
Answer:i am not quite sure, my advice would be to look up a formula calculator, have a nice day <3
Step-by-step explanation:
Nicholas has a map that shows a rectangular park with a circular pond. The scale of the map is 1.5 in: 8 yd. On a map, the width of the park is 2.5 inches and the length is 6.25 inches. The pond has a diameter of 2 inches. Find the actual area of the circular pond.Use the pi key. (Answer to the nearest tenth.)
Answer:
The actual area of the pond is 88.9 yd^2
Step-by-step explanation:
We know that in the map, 1.5 inches are equivalent to 8 yards in the real park.
We know that in the map, the pond has a diameter of 2 inches.
Now we want to find the actual area of the circular pond.
Then the first step is to find the diameter of the real pond.
We know that:
1.5 in = 8 yd.
Now we need to count how many times we have 1.5 inches in the diameter of the pond in the map, this is:
N = 2 in/ 1.5in = 1.33
Then the actual diameter of the pond is 1.33 times 8 yards, this is:
D = 1.33*8yd = 10.64 yd
Now, we know that for a circle of diameter d, the area is:
A = pi*(d/2)^2
where pi = 3.14
Then the area of the pond is:
A = 3.14*(10.64 yd/2)^2 = 88.9 yd^2
What is the volume of this cube?
Answer:
v=a3
Step-by-step explanation:
the internet told me
The first term is 5. The second term is 6. Each term after the second is the sum of the two terms just before it. The first 5 terms in Alan's pattern are ( 5, 6, 11, 17, 28 ...) What are the next three numbers in the pattern?
[tex]y - 4 = 2x \ {7x}^{2} = xy + {y}^{2} [/tex]
solve for x and y simultaneously
Answer:
2.67
Step-by-step explanation:
n/a because I don't want to be a part of the way u passed out of the way and I will be there
Marissa compared coffeepot prices at three different stores. One of the stores advertised a discount, one was an online store that charged shipping,
and one just showed a regular price. The prices are shown below:
Price
Discount
30%
Shipping Cost
NA
$149.49
Name
American
Discounters
The Coffee Hut
The Bean
$91.99
NA
15% of the cost of
the item
NA
$106.49
NA
Part A: Which place is the least expensive place to purchase the coffeepot? Support your answer using words or numbers. (Round to the nearest
cent when calculating.)
Part B: Sales tax for all 3 retailers is 7.5%. What is the cost to purchase the cheapest coffeepot? (Round your answer to the nearest cent.)
Answer:
American Discounters is the cheapest.
Step-by-step explanation:
American Discounters:
149.49 - 30%
149.49 - (149.49 * 0.3) = 44.847
149.49 - 44.847 = 104.643
The Coffee Hut:
91.99 + 15%
91.99 + 13.8 = 105.79
The Bean:
106.49
Mr. Claw received a job with an annual salary of $51,000. He will receive a 1.5% increase every year. How much will Mr. Claw's salary be in 3 years?
Answer: $53,330
Step-by-step explanation:
This is an exponential function so to find the salary in 3 years, you need to use a future value formula such as :
= Amount * ( 1 + rate) ^ number of years
Amount = $51,000
Rate = 1.5%
Number of years = 3 years
Salary = 51,000 * ( 1 + 1.5%)³
= 53,329.59
= $53,330
If m ABC=3x and m BCD=6x, find x.
Answer:
2x
Because 6 ÷ 3 = 2, so the answer is 2x
Answer the 4 questions please.
Answer: 1. y=2/3x+4
2. y=-4x-7
3. y=3x-5
4. y= -5/4x + 2
Hope I helped! :)
Step-by-step explanation:
Solve this trinomial
Z^2 + z = -20
Answer:
your answer is a complex number making your question wrong
Step-by-step explanation:
First z²+z+20=0, just to make it a quadratic equation, so we can use the quadratric formula:
x=( -b±√b²-4ac)/2a
so to find a b and c we compare
YOUR QUESTION SHOULD BE Z² +Z-20=O.
Jenae buys some scarves that are $14 each and 2 wallets that each cost $12. Jenae's total is $94. Write an equation that could be used to find s, the number of scarves Jenae buys .
Answer:
94-(2x12)/14=s
..............
The ratio 132 : 60 as a fraction is....
The ratio 132 : 60 as a decimal is...
The ratio 132 : 60 as a percent is... %
Answer:
The ratio 132 : 60 as a fraction is 132/60
The ratio 132 : 60 as a decimal is 2.2
The ratio 132 : 60 as a percent is 220%
Can any one help me please :/ 10 points:-)
Answer:
d = 35º
Step-by-step explanation:
180º - 70º = 110º
110º + 35º + d = 180º
145º + d = 180º
d = 180º - 145º
d = 35º
Answer:
35Step-by-step explanation:
Sum of 2 interior angle = Exterior angle
So keeping this in mind, we can use algebra to find the value of d
[tex]d + 35 = 70[/tex]
[tex]d = 70 - 35 \\ d = 35[/tex]
Hooe this answer helped :)
plz help i will mark as brainliest
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
24x2 - 48x + 24
A. 6(2x - 2)(2x - 2)
B. 2(3x - 3)(4x - 4)
C. 24(x - 1)(x-1)
D. (6x-6)(4x - 4)
a find the lcm of the numbers below 2310 and 1275
Answer:
LCM = 3^1. 5^2. 2^1. 7^1. 11^1. 17^1 = 196350
Step-by-step explanation:
i need help please please
9514 1404 393
Answer:
(c) see below
Step-by-step explanation:
The mnemonic SOH CAH TOA can remind you how to do this. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Here, the hypotenuse XY is 12, so we expect to see answers with 12 in the denominator. Only choice C matches that.
We can confirm that choice by looking at the opposite side (YZ) to get ...
sin(X) = YZ/YX = √119/12
The cosine uses the adjacent side:
cos(X) = XZ/XY = 5/12
Is x=2 a solution to 3x+5>10? Explain
Trina's car uses 12 gallons of gas to travel 132 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 220 miles?
A. 20 gallons
B. 11 gallons
C. 18 gallons
D. 14 gallons
Answer:
D
Step-by-step explanation:
132 divide w/ 12 u get 11
b and c are gone
multiple 20 x 11 u get 220
but bc u already have 6 gallons its 14
20-6
Please show work;) goodnight also
Answer:
k f78iiujyhtgrf
Step-by-step explanation:
Which set of lengths are the side lengths of a right triangle? (9,15,17) (14,23,25) (20,30,40) (15,36,39)
Answer:
(15, 36, 39)
Step-by-step explanation:
Using pythagoreas formula: A^2 * B^2 = C^2
so a=15, b=36, c=39
15^2+36^2=39^2