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2 years ago

A circle with radius 4 inches is inscribed in an equilateral triangle. Find the area of the triangle.

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

7 0

The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.

The side length of this triangle is 2/√3 times the altitude, so the area is

... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)

... Area = 48√3 in² ≈ 83.1384 in²

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Anthony is 154 cm tall, his brother Gerry is 5/7 as tall as him. How tall is Gerry?

11111nata11111 [884]

The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

$\frac{5}{7}$ - 5 is the numerator and 7 is the denominator

5/7 of 154 cm

154 cm / 7 = 22

22 x 5 = 110 cm

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1 year ago

What are two equivalent forms for the polynomial 3x - 2x -2x? How do you get them?

Lynna [10]

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2 years ago

Determine which elements of S satisfy the inequality

kumpel [21]

Answer:

The elements of S-block elements are 14, so therefore to create an inequality model we declare S to be the unknown variable.

therefore since we have 14 elements we use an inclusive class interval from 1-14. the model is given as

1≤S≥14

Step-by-step explanation:

you have to declare variables before for the unknowns.

you also declare the class interval to be inclusive class interval or exclusive class interval.

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2 years ago

FInd the area of the circle

olchik [2.2K]

Answer:

A = 12.56 m²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Geometry

Area of a Circle: A = πr²
d = 2r

Step-by-step explanation:

Step 1: Define

d = 4 m

Step 2: Find r

Substitute: 4 = 2r
Isolate r: 2 = r
Rewrite: r = 2 m

Step 3: Find Area

Substitute: A = π(2)²
Substitute: A = (3.14)(2)²
Evaluate: A = (3.14)(4)
Multiply: A = 12.56 m²

8 0

2 years ago