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3 years ago

How do I find the angle of something

1 answer:

7 0

Ok, so think of a house. The sides and the floor meet up and forms a right angle, at 90 degrees. Now think about the gaps in a protractor (the piece of plastic that measures angles). The gaps corner is an acute angle, about 75 degrees.

To find the angle of something, you need to look at were the objects corners are, and if needed, use a device to measure the angle.

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Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

8 0

2 years ago

A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?

Temka [501]

Answer: g(x) decreases by 7

Step-by-step explanation:

Simple algebra and substitution of variables for the number can help you to solve the problem,

g(7)=50-2(7)

g(7)=50-14

g(7)=36

I hope this helps

8 0

3 years ago

Read 2 more answers

Find two numbers if their difference is 16 and their ratio is 5:7.

myrzilka [38]

Let us say that the numbers are x and y. The given clues are:

1. x – y = 16 (so x is the larger number)

2. y / x = 5 / 7

rewriting eqtn 2 in terms of y:

y = (5/7) x

combining 1 and 2:

x – (5/7) x = 16

(2/7) x = 16

x = 56

y = (5/7) x = 40

So the two numbers are 56 and 40.

3 0

3 years ago

Read 2 more answers

Enter the range of values for x: B 15 2x - 10 С 48° A 18 [?] Enter

SOVA2 [1]

<h3>Answer: 5 < x < 29</h3>

=========================================

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

8 0

3 years ago

2x-y-3z=7, 3x+y+=10, 5x+y+2z=15

rosijanka [135]

Y 50 I think it is I am not to sure

7 0

3 years ago

Read 2 more answers

How do I find the angle of something￼

How do I find the angle of something