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2 years ago

A map of the United States is displayed in the classroom with a scale of

Mathematics

2 answers:

spin [16.1K]2 years ago

5 0

I think it’s D 27.5 because 0.25 times 110 equals 27.5

Marysya12 [62]2 years ago

3 0

Answer:

27.5 cm

Step-by-step explanation:

because 0.25 x 110 = 27.5

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What is the equation of the line that passes through the points (-4,1) and (4-1)

Nitella [24]

Answer:

y=-1/4x

Step-by-step explanation:

METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

$m = \frac{y2-y1}{x2-x1}$

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

$m = \frac{(-1)-1}{4-(-4)}$

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)

7 0

3 years ago

Jessica's is making $300 less than four times what she was making when she started working. Let s represent her

vichka [17]

Answer:

4s-300= Jessica's current salary

8 0

3 years ago

XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3

nataly862011 [7]

<h2>Answer:</h2>

4π

<h2>Step-by-step explanation:</h2>

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = $\frac{1}{2}$ x b x h -------------(i)

Where;

A = 18 $\sqrt{3}$

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18 $\sqrt{3}$ = $\frac{1}{2}$ x b x 6

18 $\sqrt{3}$ = 3b

<em>Divide through by 3</em>

6 $\sqrt{3}$ = b

Therefore, b = XZ = 6 $\sqrt{3}$

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180° [sum of angles in a triangle]

=> XOZ + 30° + 30° = 180°

=> XOZ + 60° = 180°

=> XOZ = 180° - 60°

=> XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

$\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}$

$\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}$

$\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}$

$\frac{1}{12} = \frac{1}{2|OZ|}$

$\frac{1}{6} = \frac{1}{|OZ|}$

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0

3 years ago

How many inches is 35 yards?

Tomtit [17]

Answer:

1260 inches

Step-by-step explanation:

Calculator

7 0

1 year ago

Answer all please ❤️

IRINA_888 [86]

1: 0.5 and 50%

2: .2 and 20%

3: .75 and 75%

10: (1/10) and 10%

11: (3/5) and 60%

12: (1/4) and 25%

6 0

3 years ago

Read 2 more answers