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3 years ago

GEOMETRY HELP PLEASE

Mathematics

1 answer:

MissTica3 years ago

5 0

An outside angle is equal to the sun of the two opposite inside angles.

The given inside angle is 75, the angle next to it is also 75 ( because there is a single line through the red arc, this means the angles are identical).

W = 75 + 75

W = 150 degrees.

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Is the correct answer to this problem one solution because 19x=-19?? Or am I wrong??

nadezda [96]

I think you are right so far what i've done comes out to your answer.

6 0

3 years ago

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

3 years ago

A circle has an area of approximately 615 square millimeters. What is the diameter of the circle

noname [10]

Answer:

When using the given information, the diameter of the circle is going to be 28 mL.

Step-by-step explanation:

First, we need to know the formula for finding the area of a circle.

$Area=r^2\pi$

Now, we need to rearrange the formula so we can find the radius.

$Radius=\sqrt{\frac{A}{\pi} }$

Next, we plug in the given area into the equation.

$Radius=\sqrt{\frac{615}{\pi}}$

$Radius=\sqrt{196}$

$Radius=14$

Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.

$14 * 2=28$