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Brrunno [24]
3 years ago
7

clay is reading a map to decide his vacation route. The map has a scale of 1cm equals 18miles. If he estimates the length of his

vacation route on a map is 14 centimeters what is the length in miles
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0
The scale is 1 cm equals 18 miles.
If a distance on the map is 14 cm, it is 14 times larger than 1 cm.
That means the real distance is 14 times larger than 18 miles.
What is 14 * 18 miles?
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SinA=√1-x÷√1+X<br> Find the value of cosA
Irina-Kira [14]

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

<h3>Trigonometric ratios</h3>

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = \sqrt{1} - x

Hypotenuse = \sqrt{1} + x

Let's find the adjacent side using the Pythagorean theroem

(\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2

1 + x^2 = 1 - x^2 + x^2

x = \sqrt{\frac{1 + x^2}{1 -x^2} }

cos A = x/hypotenuse

cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

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6 0
2 years ago
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
Leno4ka [110]

If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as

6 people - $9.75,

24 people - $x.

Or as proportion,

\dfrac{6}{24}=\dfrac{9.75}{x}.

Find x:

6\cdot x=9.75\cdot 24,\\ \\x=\dfrac{9.75\cdot 24}{6}=9.75\cdot 4=39.

Answer: It would cost $39 to serve 24 people

6 0
3 years ago
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5x+1/2(1/4+10). Distributive property
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7 0
2 years ago
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PLS AWNSER THIS I WILL GIVE YOUR BRAINIEST AND ALL MY POINTS!
Alenkinab [10]

Answer:give me points

Step-by-step explanation:

Please

6 0
2 years ago
What is the answer to this question and help in full steps
klio [65]
Cos(x)= adjacent/hypotenuse
cos(18)=x/25 (cross multiply)
25*cos(18)=x
x= 23.78 cm <--- this is rounded to the nearest hundredth. 
3 0
3 years ago
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