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3 years ago

NEED HELP WITH THE CORRECT ANSWER AND EXPLANATION!! :p

Mathematics

1 answer:

scoray [572]3 years ago

6 0

Answer: $\frac{1}{8}\ lb$

Step-by-step explanation:

According to the information given in the exercise, you know that the total amount of butter (in pounds) that were divided evenly, is:

$total=\frac{3}{4}\ lb$

The exercise explains that they filled six dishes with that division. Therefore, in order to calculate the value of the variable "x", you need to divide $\frac{3}{4}\ lb$ by 6.

But first it is important to remember the Division of fractions:

$\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\div\frac{d}{c}=\frac{ad}{bc}$

Therefore, applying that rule, you get:

$\frac{3}{4}\ lb\div6=(\frac{3}{4}\ lb)(\frac{1}{6})=\frac{3}{24}\ lb$

Finally, reducing the fraction you get the following result expressed as a fraction:

$=\frac{1}{8}\ lb$

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A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of

vivado [14]

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

4 0

3 years ago

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cos θ = $\frac{adjacent}{hypotenuse}$

cos ∠N = $\frac{10}{20.4}$

∠N = cos⁻¹ $(\frac{10}{20.4})$

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Answer: 61°

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lukranit [14]

Answer:

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