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2 years ago

The map uses a scale of 1 in = 220 ft. On the map, how many inches represent 1 mile?

Mathematics

1 answer:

ASHA 777 [7]2 years ago

6 0

Answer:

24 inches

Step-by-step explanation:

There are 5280 feet in a mile
There are 220 feet in 1 in on the map

5280/220 = 24

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What is the measure of minor arc BD?

Vaselesa [24]

Answer:

$minor\ arc\ BD=100^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

$m\angle BAC=m\angle DAC$

Find the measure of angle BAC

In the right triangle ABC

$m\angle BAC+m\angle BCA=90^o$

substitute given value

$m\angle BAC+40^o=90^o$

$m\angle BAC=90^o-40^o=50^o$

Find the measure of angle BAD

$m\angle BAD=2m\angle BAC$

$m\angle BAD=2(50^o)=100^o$

Find the measure of minor arc BD

we know that

$minor\ arc\ BD=m\angle BAD$ -----> by central angle

therefore

$minor\ arc\ BD=100^o$

8 0

3 years ago

Read 2 more answers

Which inequality can be used to find how many $2.50 fruit packs can be purchased for $15.00? Use f to represent fruit snacks

hjlf

2.50f=15

f=6

Thats what I think it is, I'm sorry if I'm incorrect.

8 0

3 years ago

Madison has 64 circles and 96 squares and 48 triangles.What factors do these numbers have in common? A.1,2,4,8,or 16 B.1,2,4,6,1

cestrela7 [59]

Answer:

The correct answer is option A.

Step-by-step explanation:

Number of circles = 64

Number of square = 96

Number of triangles = 48

Factor of 64, 96 and 48;

$64=2\times 2\times 2\times 2\times 2\times 2$

$96= 2\times 2\times 2\times 2\times 2\times 3$

$48= 2\times 2\times 2\times 2\times 3$

Factors do these numbers have in common are:

64 = 2 × 2 × 2 × 2 × 2 × 2

96= 2 × 2 × 2 × 2 × 2 × 3

48= 2 × 2 × 2 × 2 × 3

Common factors = 2 × 2 × 2 × 2 =16

5 0

3 years ago

Solve the inequality. q - 1 1/3 > -2 1/2

ioda

$\Leftrightarrow q>1\frac{1}{6}$

Step-by-step explanation:

$q-\frac {11}{3}>-2\frac{1}{2}$

$\Leftrightarrow q>-2\frac{1}{2}+\frac {11}{3}$

$\Leftrightarrow q>\frac{7}{6}$

$\Leftrightarrow q>1\frac{1}{6}$

6 0

3 years ago

Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar

lord [1]

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

$A=\pi r^2$

$\dfrac{A}{r^2}=\pi$

$Ar^{-2}=\pi$

Now, using $Ar^{-2}$ expression, we can find the value of π.

$\pi=50.265904(4)^{-2}$

$\pi=\dfrac{50.265904}{4^2}$

$\pi=\dfrac{50.265904}{16}$

$\pi=3.141619$

Approximate the value to the nearest thousandth (three digits after decimal).

$\pi\approx 3.142$

Therefore, the approximated value of π is 3.142.

8 0

3 years ago