All categories

3 years ago

The minute hand of a clock is 9.5cm long, How far does the tip of the hand travel in one day?

1 answer:

4 0

The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)

You might be interested in

Please help thank you and show all work.

Daniel [21]

Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

$51*tan(15)$
$\approx 14$

Now, subtract that from 207 to get the height of the smaller building.

$207-14=193$

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

$3x+1=2(x+8)$

Distributive property

$3x+1=2x+16$

Subtract both sides by 1 and 2x

$x=15$

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)

6 0

3 years ago

PLEASE HELP. I'LL GIVE BRAINLIEST.

vova2212 [387]

<h2>Answer:</h2>

The answer is 16.

<h2>Step-by-step explanation:</h2>

Since the 8x is positive, the equation must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

$\frac{8x}{2} \\\\4^2=16\\$

The last number must be 16. Let's check it.

$(x+4)^2=x^2+8x+16$

6 0

2 years ago

What is that simplest form of 9*5/6?

Arturiano [62]

Answer:

7 1/2

Before simplification: 15/2

Step-by-step explanation:

6 0

3 years ago

Pls help me!!

vlada-n [284]

Answer:

The graph of y = f(x), has vertex at (1, -2)

<u>The vertex of a function f(x - 3) is going to be:</u>

(1 - 3, -2) = (-2, -2)

<em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>

The axis of symmetry is at the same distance from the symmetric points.

x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2

The point is (2, -7)

The graph in blue is the translation of the red to the left by 2 units.

<u>So the equation is:</u>

y = f(x + 2)

y = h(x) is graphed

h(7) = 5
h(h(7)) = h(5) = -1

The graph of the function y = u(x) given

This is a odd function.

The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)

<u>Therefore:</u>

u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
[u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
0 + 0 = 0

3 0

3 years ago

Whitch number 4,5,6 is a solution of x+5>10

Alex73 [517]

: 6

:

- i just plugged in every number in.
4 + 5 > 10
9 > 10? nope.

5+5 > 10
10 > 10 ? nope.

6+5 > 10
11 > 10? YES.

6 0

3 years ago