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3 years ago

Can someone help me figure this out?

Mathematics

1 answer:

sasho [114]3 years ago

3 0

Answer:

SAS

Step-by-step explanation:

SAS stands for Side Angle Side. Because the two triangles have a side, angle, and side in common, SAS is the correct answer.

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A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o

elena-14-01-66 [18.8K]

Answer:

21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

tan x = 22/103
x = arctan (22/103)
x = 21°

<em>Note, option D should read 21° not 11°</em>

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3 years ago

Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the popul

viktelen [127]

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be $A.$

Population ( $P$ ) = 300,000.

Rate per year ( $r$ ) = 3%.

Time ( $t$ ) = 13 years.

Now, we put formula to get the population of the city in 13 years:

$A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.$

Therefore, the population of this city in 13 years is 440,550.

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3 years ago

43. Can you place ten lumps of sugar in three empty cups so that

erma4kov [3.2K]

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

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3 years ago

Lucia draws a square and plots the center of the square. (image)

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Answer:

Step-by-step explanation:

Lucia's claim is correct since any rotation that is a multiple of 45° carries a square onto itself

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Answer:

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Step-by-step explanation:

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3 years ago