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2 years ago

An employee receives a 4% raise once

Mathematics

1 answer:

Nikitich [7]2 years ago

7 0

Answer:

The answer is 107021.66

Step-by-step explanation:

I did a practice on this once.

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Please help asap I will give you brainliest Find the area of the shaded region

kondaur [170]

Answer:

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

4 0

2 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

The difference of 22 and a number is -8 A.14 B.30 C.-30 D.-14

DIA [1.3K]

Answer:

B. 30

Step-by-step explanation:

the equation looks like 22 - x = -8 and 22 - 30 is negative 8

3 0

3 years ago

Read 2 more answers

What is the area of the shaded part of the figure?

adoni [48]

Oh all u do is just do the triangle the subtract the square from that

8 0

3 years ago

If there is one-third of a pizza left, and Becky only wants to eat one-half of it, how much of the pizza does she want?

natali 33 [55]

She wants to eat 1/6 of the pizza.

5 0

2 years ago

Read 2 more answers