MATHEMATICS HIGH SCHOOL

you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.

Answers

Answer 1

Answer:

Hello betzy166817!

The correct answer is: 250 miles per inch.

You can multiply the number of inches on the map by 250 to find the number of miles.

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During every soccer game that Ronald plays, he runs all over the field. In his last game, he played on a soccer field that was 69,300 square feet. There are 3 feet in a yard. What is the area, in square yards (sq yd), of the soccer field where Ronald played his last game? Group of answer choices 7,700 sq yd 23,100 sq yd 207,900 sq yd 623,700 sq yd

How many 2-inch segments are there in 12 ft.?
a. 6
b. 24
c. 72
d. 10

Answers

When we convert 12 feet to inches and then divide by the length of each segment (2 inches), we find that there are 72 two-inch segments in 12 feet.

To calculate how many 2-inch segments are there in 12 feet, we need to convert both measurements to the same unit before performing the division.

Step 1: Convert 12 feet to inches.

Since 1 foot is equal to 12 inches, to convert 12 feet to inches, we multiply by 12:

12 feet * 12 inches/foot = 144 inches

Step 2: Divide the total number of inches by the length of each segment (2 inches).

144 inches ÷ 2 inches/segment = 72 segments

Therefore, there are 72 two-inch segments in 12 feet.

In summary, when we convert 12 feet to inches and then divide by the length of each segment (2 inches), we find that there are 72 two-inch segments in 12 feet. This calculation involves converting units to ensure they are in the same measurement scale before performing the division.

To know more about inches:

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C. 72 Sorry hope it's not to late.

Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y = 2 x - 3?

Answers

Answer:

y = - $(1)/(2)$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_(perpendicular)$ = - $(1)/(m)$ = - $(1)/(2)$

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - $(1)/(2)$ x - 3 ← equation of perpendicular line

hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Answers

Answer:

$2√(6)$

Step-by-step explanation:

Perimeter of equilateral triangle = 36 inches

Formula of perimeter of equilateral triangle = $3* side$

⇒ $36=3* side$

⇒ $(36)/(3) = side$

⇒ $12= side$

Thus each side of equilateral triangle is 12 inches

Formula of area of equilateral triangle = $(√(3))/(4) a^(2)$

Where a is the side .

So, area of the given equilateral triangle = $(√(3))/(4) * 12^(2)$

= $36√(3)$

Since hexagon can be divided into six small equilateral triangle .

So, area of each small equilateral triangle = $(36√(3))/(6)$

= $6√(3)$

So, The area of small equilateral triangle :

$(√(3))/(4)a^(2) =6√(3)$

Where a is the side of hexagon .

$(1)/(4)a^(2) =6$

$a^(2) =6* 4$

$a^(2) =24$

$a =√(24)$

$a =2√(6)$

Hence the length of a side of the regular hexagon is $2√(6)$

$Perimter\ of\ equilateral\ triangle\ =36\n a- \ side\ of\ triangle\n 36=3a\ |:3\n a=12\n\n Area\ of\ equilateral\ triangle:\n A=(a^2√(3))/(4)\n A=(12^2√(3))/(4)\n A=(144√(3))/(4)=36\sqrt3 \n\n Hegagon\ can\ be\ divided\ into\ 6\ equilateral\ small\ triangles.\nArea\ of\ one\ of\ them: A_s=(A)/(6)=(36\sqrt3)/(6)=6√(3)\n s-side\ of\ equilateral\ =\ side\ of\ small\ triangle\n A_s=(s^2√(3))/(4)=6√(3)\ |*4 \n s^2\sqrt3=24\sqrt3\ |\sqrt3\n s^2=24\n s=√(24)$ $√(24)=√(4*6)=2\sqrt6\n\n Side\ of\ hexagon\ equals\ 2\sqrt6\ inches$

Solve for a and b
(6a-3)=(7b-10)

Answers

Answer:

for A= $(7b-7)/(6)$ and for B= $(6a+7)/(7)$

Step-by-step explanation:

For A

$\left(6a-3\right)=\left(7b-10\right)$

$6a-3+3=7b-10+3$

$6a=7b-7$

$(6a)/(6)=(7b)/(6)-(7)/(6)$

$a=(7b-7)/(6)$

For B

$\left(6a-3\right)=\left(7b-10\right)$

$7b-10=\left(6a-3\right)$

$7b-10=6a-3$

$7b-10+10=6a-3+10$

$7b=6a+7$

$(7b)/(7)=(6a)/(7)+(7)/(7)$

$b=(6a+7)/(7)$

Find the distance between the points.
(-2,4) and (-2,7)

Answers

The answer for the following points would be
( -2, 11/2 )
*Please let me know if this answer is correct.
*I also showed my work as well.

Choose the triangle that seems to be congruent to the given one.AFD =~ ____

AFC
BFC
DFE

Answers

Answer:

The triangle that seems to be congruent to triangle AFD is triangle AFC.

Step-by-step explanation:

As in the give triangle AFD, there is an obtuse angle, i.e angle AFD is obtuse angle.

So, in order to have a congruent triangle, the another triangle must have an obtuse angle.

From the given triangles, only triangle AFC has an obtuse angle and that is angle AFC. And they also share a side, so the chances of congruency is more in this case.

Triangle BFC and Triangle DFE does not have an obtuse angle.

AFD is equivalent to AFC.

They are the same size, shape, length, and angles.

I hoped I helped!

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