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3 years ago

The scale on a map is 1.5 cm: 60 miles. If two cities are 2 cm apart, then how many miles separate them?

Mathematics

1 answer:

sladkih [1.3K]3 years ago

3 0

Answer:

Hi! The correct answer is A. 80 Miles!

Step-by-step explanation:

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A rectangle’s length is 6 more than 4 times its width. If the perimeter is 42, how long is the rectangle

Ainat [17]

The Length of the rectangle is 18 unit.

<h3>What is the Perimeter of a Rectangle?</h3>

Perimeter of rectangle = 2(length + width)

Given the following:

Let x represent the width of the rectangle

Width of the rectangle = x

Length of the rectangle = 4x + 6

Perimeter of rectangle = 42 units

Therefore, we would write the following equation to find x based on the formula for finding the perimeter of a rectangle:

2(4x + 6 + x) = 42

2(5x + 6) = 42

10x + 12 = 42

10x = 42 - 12

10x = 30

10x/10 = 30/10

x = 3

The width (x) = 3.

Length of the rectangle = 4(3) + 6

Length of the rectangle = 18 unit.

Learn more about perimeter of rectangle on:

brainly.com/question/24571594

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1 year ago

Write an equation in slope intercept form for a line with slope going through the point . enter and where your answer is

mojhsa [17]

1. Find the slope
2. Y - Y1 = M ( X -X1) Plug the value. M is the slope and the point (X1,Y1)

3 0

3 years ago

The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte

Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

If the given point is (x , y), then the angle lies in the 1st quadrant
If the given point is (-x , y), then the angle lies in the 2nd quadrant
If the given point is (-x , -y), then the angle lies in the 3rd quadrant
If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

triangle whose horizontal leg is 15 units and vertical leg

is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = $\sqrt{(15)^{2}+(-8)^{2}}=17$ units

∵ sinФ = $\frac{opposite}{hypotenuse}$

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = $\frac{-8}{17}$

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

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2 years ago

Read 2 more answers

PLEASE HELP OMG the side lengths of triangle MNO are given: MN=5, NO=4, OM=2.5. the triangle is dilated by a scale factor of k w

elena-14-01-66 [18.8K]

The value of the scale factor k, is 1.5

<h3>Perimeter</h3>

The perimeter of a shape is the sum of the side lengths of the shape

<h3>Dimensions </h3>

The dimensions of the triangle MNO are given as:

$MN = 5$

$NO = 4$

$OM = 2.5$

Calculate the perimeter of the triangle as follows:

$MNO=5 + 4 +2.5$

$MNO=11.5$

Divide 17.25 by 11.5 to calculate the scale factor (k)

$k = \frac{17.25}{11.5}$

$k = 1.5$

Hence, the scale factor is 1.5