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3 years ago

A cow flies to a point that is 1 mile east and 20 miles south of its starting point. How far does the crow fly?

1 answer:

5 0

The end point is located exactly √401 miles from the starting point.
But we don't know what route the cow took to get there.

(That's about 20.025... miles, rounded.)

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Anna [14]

Answer:

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3 years ago

What is number pattern

anyanavicka [17]

A number patter is a list of numbers that follow a certain pattern like 2,4,6,8,10 is a pattern of 2's

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3 years ago

5cosx -2sin(x/2) +7=0<br>Help me to find x step by step<br>pls

miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = $cos^{2}x - sin^{2}x$

2. Pythagorean identity:

$cos^{2}x + sin^{2}x = 1$

Back to your problem, replacing the variable by the above:

$5cosx-sin\frac{x}{2}+7 = 0$

$5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Double-angle formula

$5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Pythagorean identity

Given $y = \frac{x}{2}$

$5(1-2sin^{2}y) - 2siny + 7 = 0$

$10sin^{2}y+2siny-12=0$

$5sin^{2}y+siny-6=0$

$(5siny + 6)(siny - 1)=0$ , we know -1 < sinx < 1, for every x ∈ R

$siny = 1, y =90$

$y = \frac{x}{2}$

$x = 180$

8 0

3 years ago

42x^2 + 32 - 18 =6062

Elenna [48]

Okay, we start with 42x^2 + 32 - 18 = 6062. To solve single-variable equations like this one, we want to isolate the x by moving all of the other numbers to the other side of the equation. We need to first subtract 32 and 18, and that equals 14. Now our problem looks like this, 42x^2 + 14 = 6062. Since 14 is the only other number on the left side, we subtract four from both sides! This gives us 42x^2 + 14 - 14 = 6062 - 14, so 42x^2 = 6062. Now to find x, we want to just have one x on the left side instead of 42, so we divide the equation by 42 to find that 42x^2/42 = 6048/42, so x = 12

4 0

3 years ago

The difference between two numbers is 15. Four times the larger number is nine times the smaller. Find the two numbers.

Aliun [14]

Answer:

The numbers are 27 and 12

Step-by-step explanation:

Let the smaller number be x and the larger number be y.

If the difference between them is 15, then

$y - x = 15....(1)$