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Alexxx [7]
3 years ago
12

A pilot sets a heading of 110 and an air speed of 250 mph. If a wind is blowing 28 mph from the south, what is the ground speed

and course of the plane ?
Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
They are going north and 142 miles at a ground speed
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Joe gets paid $40 per hour. how much would he earn if he worked for 45 minutes
anzhelika [568]
He would earn $30 for 45 minutes. 
Example: 
60min=$40/hr
1min =$40/$60/hr
45min=$40/$60*45
$30 for 45min
6 0
3 years ago
The density of a block of wood with a volume of 50 cubic centimeters and mass off 100 grams is...................
Natalija [7]
Mass  = 100  g

Volume = 50 cm³

Density :

D = m / V

D = 100 / 50

D =  2 g/cm³

answer A

hope this helps!.
4 0
3 years ago
Solve for the following equation step by step and justify your steps when using an exponential property.
mel-nik [20]

x = \frac{5}{7}

using the ' laws of exponents '

• a^{m} × a^{n} = a^{( m + n )}

•  a^{m} ÷ a^{n} = a^{(m - n)}

• (a^{m})^n = a^{mn}

7^{2} × 7^{3} = 7^{5} ÷ 7^{3x} = 7^{5 - 3x}

7^{4x} = 7^{5 - 3x}

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x =\frac{5}{7}




4 0
3 years ago
A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b
konstantin123 [22]

Answer:

\theta = 40.59^\circ

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find \theta

To do this, we use sine formula

i.e.

\sin(\theta) = \frac{Opposite}{Hypotenuse}

So, we have:

\sin(\theta) = \frac{10.8}{16.6}

\sin(\theta) = 0.6506

Take arc sin

\theta = \sin^{-1}(0.6506)

\theta = 40.59^\circ

4 0
2 years ago
Write as<br> logarithm with base 4:<br> 4<br> -5<br> 2<br> -4
NeX [460]

Answer:

log_4(256)=4

log_4(1/1024)=-5

log_4(16)=2

log_4(1/256)=-4

Step-by-step explanation:

We want to write a number, x, such that

Log_4(y)=x.

In exponential form that is 4^x=y.

So first number is x=4.

4^4=256 which means log_4(256) is 4 as a logarithm with base 4.

The second number is x=-5.

4^-5=1/4^5=1/1024 which means log_4(1/1024) is -5 as a logarithm with base 4.

The third number is x=2.

4^2=16 so log_4(16) is 2 as a logarithm with base 4.

The fourth number is x=-4.

Since 4^4=256 then 4^-4=1/256 which means -4 as a logarithm with base 4 is log_4(1/256).

8 0
3 years ago
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