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Anton [14]
3 years ago
11

How many times does 67 go into 12

Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

.180

Step-by-step explanation:

use a calculater

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Rachel made a mosaic from different color rectangular tiles. Three tiles measured 3 inches 3 1/2 ×inches. Six tiles measured 4 i
Irina18 [472]

Answer:

I think you typed it wrong

Step-by-step explanation:

"3 inches 3 1/2 xinches"?

"4 inches 3 1/4 inches"?

3 0
3 years ago
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?
Liono4ka [1.6K]

Answer:

Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation:

Sarkis cannot draw a triangle with these side lengths.

5 0
2 years ago
A coat that usually costs $120.00 is marked 1/3 off. What is the sale price of the coat?
dedylja [7]

If the coat is 120$ then 1/3 is taken off it would be 80$

Step-by-step explanation:

1/3 of 120 is 40. 40x 3 is 120.

7 0
3 years ago
Read 2 more answers
How to solve 5/6y + 1 = -1/2y + 1/4
True [87]

Answer:

y= -1/4

y= -0.25

Step-by-step explanation:

5/6y+1= -1/2y+1/4

<em>Subtract 1 from both sides</em>

5/6y= -1/2y-3/4

<em>Add 1/2y to both sides</em>

1 1/3y= -3/4

<em>Divide both sides by 1/3</em>

y= -1/4

y= -0.25

6 0
3 years ago
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