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kotegsom [21]
3 years ago
11

2. Scale: 4 inches = 12 miles. If the drawing length is 13 inches, what is the actual length

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

39 miles

Step-by-step explanation:

  • 4 inches     ⇔     12 miles
  • 1 inch          ⇔     12/4 = 3 miles
  • 13 inches    ⇔     3*13 = 39 miles
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3 divided by 64 is 0.046875
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3 years ago
What is the slope of a line that is perpendicular to the line shown? (0, 2) (3, 0)
Yanka [14]
<span> (0, 2) (3, 0)
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answer
3/2</span>
3 0
3 years ago
Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).
Mashcka [7]

Answer:

X = 0,  π/2 in the interval  [0, 2pi).

Step-by-step explanation:

Use the auxiliary angle method:

R sin(x + a)  = Rsin x cos a + Rcos x sin a = 1

                        sin x         +    cos x             = 1

Comparing coefficients:

R cos a = 1 and R sin a =  1, so

tan a = R sin a / R cos a  = 1

So a = π/4 radians.

Also  R^2(sin^2 a + cos^2 a) =  1^2 + 1^2 = 2

Therefore R = √2.

So √2 sin (x +π/4 = 1

sin x + π/4 = 1/√2

x  + π/4 = π/4

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Also

x = 0 +  π/2 = π/2.

8 0
2 years ago
What is the rate of change (86, 124) (64, 113)
harkovskaia [24]
Hey there!

The rate of change for these two points would be m = 1/2. Subtract the two y points from each other and then the two x points from each other. Then you divide them. Or get a simplified fraction.

Hope this helped!
8 0
3 years ago
How do you solve this?
k0ka [10]
x^2-3x-4=0\\\\x^2-2x\cdot\frac{3}{2}=4\ \ \ /+(\frac{3}{2})^2\\\\x^2-2x\cdot\frac{3}{2}+(\frac{3}{2})^2=4+(\frac{3}{2})^2\\\\(x-\frac{3}{2})^2=4+\frac{9}{4}\\\\(x-\frac{3}{2})^2=\frac{16}{4}+\frac{9}{4}\\\\(x-\frac{3}{2})^2=\frac{25}{4}\\\\x-\frac{3}{2}=\pm\sqrt\frac{25}{4}

x-\frac{3}{2}=\pm\frac{\sqrt{25}}{\sqrt4}\\\\x-\frac{3}{2}=\pm\frac{5}{2}\\\\x-\frac{3}{2}=-\frac{5}{2}\ or\ x-\frac{3}{2}=\frac{5}{2}\\\\x=-\frac{5}{2}+\frac{3}{2}\ or\ x=\frac{5}{2}+\frac{3}{2}\\\\x=-\frac{2}{2}\ or\ x=\frac{8}{2}\\\\x=-1\ or\ x=4
5 0
2 years ago
Read 2 more answers
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