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1 year ago

3. The volume of a book is 60 cubic inches. If a large

Mathematics

2 answers:

saveliy_v [14]1 year ago

6 0

Answer:

720 in^3.

Step-by-step explanation:

12 * 60 = 720.

blagie [28]1 year ago

4 0

Answer:

Step-by-step explanation:

60 in³ * (12) = 720 in³

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HELP FAST!! 30 POINTS

dezoksy [38]

Answer:

Im not so sure about what your asking, but I'm assuming that your asking about the lengths of the circle. The 6 inches would be the diameter and the 3 inches would be the radius and the 3.14 would be the circumference.

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

6 0

1 year ago

Read 2 more answers

What is the value of y?<br> 12<br> 13<br> х

krek1111 [17]

Answer:

y is 6.5 because it's kind of a ratio, you just need to find out what number to divide them by or multiply them by in this case, it was 13÷2 =6.5

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2 years ago

Find two numbers if their sum is 6.1 and their difference is 1.6

Nimfa-mama [501]

A+b=6.1 ---(1)
a-b=1.6 ---(2)

(1)+(2); 2a=7.7
then a=3.85
so b=a-1.6 = 3.85-1.6 = 2.25

so that the two numbers are 2.25 and 3.85

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2 years ago

The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem

Art [367]

Answer:

the displacement of the plane is $- \= w$

The displacement of plane from Portland to Akron with layover at Houston is

$\= v + \= w$

the vector which defines this displacement is $\= v + \= w =- 2500 \ km$

Step-by-step explanation:

From the question we are the

The displacement from Portland, Oregon to Houston, Texas. is $\= v$

The displacement from Houston, Texas to Akron, Ohio. is $\= w$ a

The motion of the plane in question a is in the opposite direction to vector $\= w$

So the displacement of the plane is $- \= w$

The motion of Portland to Houston to Akron is in the direction of both vector $\= v$ and $\= w$ so

The displacement of plane from Portland to Akron with layover at Houston is

$d = \= v + \= w$

From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector $\= v$

Give that distance from Portland to Houston is $\= v = 3000 km$

and the distance from Portland to Anchorage is $\= w = - 5500$ km

Then the vector which defines this displacement is mathematically represented as

$\= v + \= w = 3000 -5500$

$\= v + \= w =- 2500 \ km$

4 0

2 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

2 years ago