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RideAnS [48]
3 years ago
7

On a certain road map, the scale is 1 inch 10 miles. Aurora Springs and Glendale are 3 inches apart on the map. What is the actu

al distance between Aurora Springs and Glendale?
Mathematics
1 answer:
alexdok [17]3 years ago
4 0
30 miles because 1 inch = 10 miles so 3*10= 30
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Robin purchased 3 1\2 ounces of whole wheat cereal for $1.40. What is the cost per ounce?
Natalka [10]
The answer is 40 cents
8 0
3 years ago
A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?
BaLLatris [955]
To find the perimeter of a rectangle, we can use this formula: 2L + 2W
Where L is the length and W is the width.

We know the perimeter and we know the length and we want to find the width.
Substitute the values back into the formula.

2(35) + 2W = 84
70 + 2W = 84
2W = 14 <-- Subtract both sides by 70
W = 7 <-- Divide both sides by 2

So, width is 7 meters long.

8 0
3 years ago
Read 2 more answers
6=g+8. Solving one step Equations
skelet666 [1.2K]

Answer:

g = -2

Step-by-step explanation:

6=g+8

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7 0
4 years ago
What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?
Alex_Xolod [135]

Answer:

Step-by-step explanation:

For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.

Step 1 Find the slope of the equation.

Put it into the slope-intercept form. y = mx + b.  

For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you  -y = -x + 7

Then, divide both sides by -1 to get a positive y.  -y/-1 = (-x + 7)/-1

This leaves y = x - 7  The slope(m) for this equation is m = 1

The other equation must also have a slope of 1 or m=1 for the lines to be parallel.

Use the point given to you (-7, -6) and substitute for (x, y)

The slope-intercept form y = mx + b can once again be used.

x = -7, y =-6, and slope or m = 1

Therefore,  y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept

-6 = -7 + b add 7 to both sides -6 +7 = -7 + b +7 ; therefore, b = 1

Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.

Finally, substitute the m and b in the slope-intercept form

            y = (1)x + 1 or y = x +1

5 0
3 years ago
Messed up and didnt put the attachment on the last post
Margarita [4]

<u>Answer</u><u> </u><u>:</u><u>-</u>

9(3+√3) feet

<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

<u>In ∆ABC , </u>

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3><u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
3 0
3 years ago
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