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LiRa [457]
3 years ago
11

Given: g(x) = x - 4 and h(x) = 2x - 8,

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
Plug in 10 for x in h(x) then simplify
h(10)=2(10)-8
h(10)=20-8
h(10)=12

h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8

Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8

This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.
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HELP PLEASE
Arturiano [62]

The plane will end up flying 5.02°.

The plan's speed relative to the ground will be 645.91 km/hr.

Solution:

Use the cosine formula,

a^{2}=b^{2}+c^{2}-2 b c \cos A

Substitute the given values in the formula,

\mathrm{R}^{2}=700^{2}+80^{2}-(2 \times 700 \times 80 \times \cos 45^\circ)

\mathrm{R}^{2}=490000+6400-(112000 \times\frac{1}{\sqrt{2} } )

\mathrm{R}^{2}=496400-79195.95

\mathrm{R}^{2}=417204.049

Taking square root on both sides, we get

R = 645.91 km/hr

This is the grouped speed of the aircraft.

To find θ use sine rule.

$\frac{\sin C}{c}=\frac{\sin A}{a}

$\frac{\sin \theta}{80}=\frac{\sin 45}{645.91}

Do cross multiplication, we get

${\sin \theta}}=\frac{\sin 45}{645.91}\times 80

${\sin \theta}}=\frac{\frac{1}{\sqrt{2} } }{645.91}\times 80

sin θ = 0.0875

θ = 5.02°

This is known as the drift angle and is the correction the pilot should apply to remain on course.  

The heading is the direction the aircraft's nose is pointing which is

The track is the actual direction over the ground which is θ = 5.02°

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

7 0
4 years ago
Please help me it's due tomorrow <br>​
LuckyWell [14K]

Answer:

160 sensei

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A machine can produce 250 items per hour. If the operator of the machine works 40 hours per week, how many items are made by thi
Rashid [163]
52 weeks per year

250 times number of hours=number of items produced

number of hours=number of hours worked per week times number of weeks
number of hourse=40 times 52=2080 hours

250 times 2080=520000 items
5 0
4 years ago
12.8 x 3/4 I don’t know it
scoray [572]

48/5 or 9 3/5

12.8/1 x 3/4 = 38.4/4

Or multiply 12.8/1 by 10 ==> 128/10

128/10 x 3/4 = 384/40

Hope this helps!

7 0
3 years ago
Read 2 more answers
Given the parent function f(x) = x^2 describe the translation of the function y=(.2x)^2?
Bad White [126]

Answer:

Option C.

Step-by-step explanation:

Let f(x) = x ^ 2 be a quadratic function

Then we do the function y = f(bx) = (bx) ^ 2

Where b is a real number.

If b> 1 then the function y = (bx) ^ 2 represents a horizontal compression of the function y = x ^ 2  

If  0 Then the function y = (bx) ^ 2 represents a horizontal expansion compression of the function y = x ^ 2 by a factor of \frac{1}{b}

In this case, the equation is:

y = (0.2x) ^ 2 Then:

b = 0.2

0

Thus

y = (0.2x) ^ 2 is a horizontal expansion of the function y = x ^ 2 by a factor of \frac{1}{0.2} = 5.

The correct option is: Option C

4 0
3 years ago
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