Answer:416
Step-by-step explanation: Based on the given problem above, it requires a trigonometric solution. So here it goes:
The climb distance is:200 * Sec [ArcTan [10/200]] = 10√ 401 km
and the decent distance is:300 * Sec [ArcTan [10/300]] = 10√901 km
So add the given results above with 500 km and this will be the additional distance that plane moves through the air.
The answer would be in the unit meters.
((10√401 +10√901−500)∗1000)=416 meters
Hope this is the answer that you are looking for.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
<u>Step-by-step explanation:</u>
Let us consider the soda bottles as x and juice bottles as y.
From the given data we can derive 2 equations,
35x+15y= 410. .....(1)
x=y+6. ....(2)
Substitute equation (2) in (1),
35(y+6)+15y=410.
35y+ 210+15y=410.
50y+210=410.
50y=410-210.
50y=200.
y=4.
Substitute y value in equation (2),
x=4+6.
x=10.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
Hey there! I'm happy to help!
Let's look at our diameters.
We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.
We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x
Therefore, your answer is 50.
Have a wonderful day! :D
Fraction = 4/7
Step by step Explanation
Let the denominator be x.
Numerator = 3 less than denominator
denominator = x
Numerator = (x – 3)
Now, Adding 5 to denominator
adding 2 to numerator.
Numerator = (x – 3 + 2)
Denominator = (x + 5)
(x – 3 + 2)/(x + 5)
According to the question
(x – 3 + 2)/(x + 5) = 1/2
(x – 1)/(x + 5) = 1/2
2(x – 1) = 1(x + 5)
2x – 2 = x + 5
2x – x = 5 + 2
x = 7
So,
=> Denominator x = 7
=> Numerator (x – 3) => (7 – 3) = 4
= > Fraction = 4/7
