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3 years ago

What angel relationships are formed when lines intersect

Mathematics

1 answer:

mixer [17]3 years ago

7 0

Answer:

vertical angle relationships are formed.

Good luck :)

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A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 m

Ahat [919]

Answer:

The answer is:

30 minutes.

Step-by-step explanation:

We are given the following information:

at 160 m/min, tool life = 5 min.

at 120 m/min, tool life = 17 min.

This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

speed = 160 - 120 = 40 m/min

tool life = 17 - 5 = 12 min.

Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

40 m/min = 12 min

∴ 1 m/min = 12/40 min.

∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.

8 0

3 years ago

Write an equation of the cosine function with amplitude pi/2 and period 3

juin [17]

Answer:

$y = \frac{\pi}{2}cos(\frac{2\pi}{3}x)$

Step-by-step explanation:

Given

$Amplitude = \frac{\pi}{2}$

$Period = 3$

Required

Write the equivalent cosine function

The general formula is:

$y = acos(bx)$

Where

$amplitude = |a|$

$period = \frac{2\pi}{b}$

Substitute $\frac{\pi}{2}$ for amplitude in $amplitude = |a|$

$|a| = \frac{\pi}{2}$

$a = \frac{\pi}{2}$

Substitute 3 for period in $period = \frac{2\pi}{b}$

$\frac{2\pi}{b} = 3$

Multiply both sides by b

$2\pi = 3b$

Divide through by 3

$b = \frac{2\pi}{3}$

Hence;

$y = acos(bx)$ becomes

$y = \frac{\pi}{2}cos(\frac{2\pi}{3}x)$

5 0

3 years ago

PLEASE HELP ME OUT LOOK AT THE IMAGE BELOW

Lelu [443]

Answer:

Let me know if you want more explanation

Step-by-step explanation:

Alright, to solve for x we need 2 angles that are congruent or equal.

I'm going to use the two we will need later. KLN and MNL

Now to find x ^^

$2x-18=x+6\\2x-18-x=x+6-x\\x-18=6\\x-18+18=6+18\\x=24$

Now we just need to plug it into each angle. I'm going to show you them separately.

$KLN=2x-18\\KLN=2(24)-18\\KLN=48-18\\KLN=30$

$MNL=4x-6\\MNL=4(24)+6\\MNL=102$

should be right now.

3 0

3 years ago

What are the multiples of 64

I am Lyosha [343]

128, 192, 256, 320,and 384 are the first five multiples.

6 0

4 years ago

Write the sentence as an equation. the quotient of w and 319 is equal to 342

Maurinko [17]

Answer:

w÷319= 342

Step-by-step explanation:

w divided by 319 is equal to 342

8 0

3 years ago