MATHEMATICS HIGH SCHOOL

Two planes leave the airport at the same time. In one hour the plane that has flown north has traveled 400 miles. The plane that has flown southwest has traveled 250 miles. How far apart are the planes? LAW OF COSINES
GEOMETRY

Answers

Answer 1
Answer: a^2=b^2+c^2-2\cdot b\cdot c\cdot cos \alpha \n---------------\n\nx^2=250^2+400^2-2\cdot250\cdot400\cdot cos135^0\n\nx^2=62,500+160,000-200,000\cdot cos(180^0-45^0)\n\nx^2=222,500-200,000\cdot(-cos45^0)\n\nx^2=222,500-200,000\cdot ( √(2) )/(2) \n\nx^2=222,500+100,000\cdot √(2) \n\nx^2=2500\cdot(89+40 √(2) )\n\n

x=50\cdot \sqrt{89+40 √(2)} \ \ \ \Rightarrow\ \ \ x\approx603.26\ [miles]\n\nAns.\ the\ distance\ is\ about\ 603.26\ miles

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Turn this improper fraction to a mixed number: 236/4

Answers

236/4 = 59 evenly. You could put 58 1/1. Otherwise, this improper fraction doesn't need a mixed number 

What is the value of the x in this equation. 7x = 14 ​

Answers

Answer:

2

Step-by-step explanation:

7x=14

(7x)/(7) = (14)/(7)

x=2

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THANK YOU.

a boy flies a kite with a 100 foot long string. the angle of elevation of the string is 48 degrees. how high is the kite from the ground?

Answers

we know that
in a right triangle
sin ∅=opposite side angle ∅/hypotenuse
opposite side angle ∅=hypotenuse*sin ∅

in this problem
angle ∅=48°
hypotenuse=100 ft
opposite side angle ∅=?----> height of the kite from the ground

opposite side angle ∅=100*sin 48°------> 74.31 ft

the answer is
74.31 ft

You are a contractor who is installing new windows. You are working on a house that has 6 windows that are each 3 feet by 4 feet.If the glass for the windows costs $0.05 per square inch, approximately how much money will the glass cost for all of the window installations?

A.
$36
B.
$43
C.
$432
D.
$518

Answers

Answer:

D. $518

Step-by-step explanation:

We know that the windows are 3ft by 4ft, find the area:

A = L * W

A = 3ft * 4ft

A = 12 sq ft

12 sq ft is the area of each window in the house

Now multiply the amount of windows in the house by the 12 sqft:

12 sqft * 6

72 sq ft

The combined area of all 6 windows are 72 sqft. Now since 1 sqft is equal to 144 sq inches, simply convert the square feet into squared inches:

72 * 144

10,368 squared inches

Since each square inch costs 0.05 cents, multiply the amount of square inches by the cost of each square inch:

0.05 * 10,368

$518.4

Since D. is the closest value, that would be our answer.

What is the sum of 2/5 and 2/4?
a. 9/10
b. 6/7
c. 10/20
d. 8/20

Answers

the sum is:
2/5+2/4=
2/5+2/4÷20=
8+10/20
=18/20
9/10
hope u found it useful
(2)/(5) + (2)/(4)=(2\cdot4)/(5\cdot4) + (2\cdot5)/(4\cdot5)=(8)/(20) + (10)/(20)= (8+10)/(20)=(18)/(20)=(9\cdot2)/(10\cdot2)=(9)/(10)

4, a regular pentagon with radius 9 m

Answers

idk know this one but a math calculator websites can help you
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