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hodyreva [135]
3 years ago
6

Use the diagram to solve for x.

Mathematics
1 answer:
Andreyy893 years ago
3 0
0 this is what I got
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Can you help me with #1?​
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The answer would be 27. If ABC is 3 times the length of AB then it would be the same for AC.
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Two sides of a right triangle are 572 units long. What is the<br> perimeter of the triangle?
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The perimeter is 662 units
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3 years ago
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

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

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
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7Bx%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B30%7D%20" id="TexFormula1" title=" \fr
11111nata11111 [884]
Answer
X=12
Hope it help
5 0
3 years ago
A woman is walking at the rate of 90 yards per minute. How fast is she going in feet per second?
motikmotik

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = 90\div 60

Therefore by dividing we get = 1.5 yard

Now, we find the rate of walking per second in feet = 1.5\times 3

So, by multiplying we get = 4.5 feet

Therefore, she is going at the rate of 4.5 feet per second.

3 0
3 years ago
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