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3 years ago

On a map,1 inch equals 5 miles.two cities are 3 inches apart on the map what is the actual distance between the cities

Mathematics

2 answers:

aliina [53]3 years ago

6 0

Answer:

15 miles

Step-by-step explanation:

ratio problem

1 inch/5 miles = 3 inch/x

x = 15

Oduvanchick [21]3 years ago

3 0

Answer:

15 Miles

Step-by-step explanation: set it up as a proportion

$\frac{1}{5}$ = $\frac{3}{x}$ put your inches with your inches and you miles with your miles to make it equal

then cross multiply. 5 times 3 is 15 and x times one is 1x.

then you just divide it 15/1x= 15

and the you got your answer 15.

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Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago

Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. What was the total average s

laila [671]

Answer:

46 2/3

Step-by-step explanation:

Divide 90 by 1.5 because:

Average Distance= distance/time

then 120 by 3 for same reason

then u find each

then add 90 with 120 to get 210 then divide by 4.5 to get 46 2/3

6 0

3 years ago

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Which of the following situations forms a proportional relationship? Select all that apply.

Schach [20]

Answer: 1st,2nd, and 4th one are correct.

Step-by-step explanation:

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3 years ago

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M_6 is (2x – 5)º and m_8 is (x + 5)º.

HACTEHA [7]

m_6 + m_8 = 180º because they form a straight line.

So, (2x-5) + (x+5) = 180

3x = 180

x = 60

So, m_115º (2•60 - 5 = 115)

Also, because the two lines are parallel m_6 = m_3 by alternate interior angles.

So, m_3 = 115º

4 0

2 years ago

2y= -3x+2 find three points

skelet666 [1.2K]

y=-3x+2/2

if y=0,x=2/3

if x=0,y=1

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3 years ago

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