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docker41 [41]
3 years ago
14

Can someone help please!!!!!!!!!!!!!!

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0

Step-by-step explanation:

The population of a small town is 1600 and is increasing at a rate or. 3% per year.

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Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. |4x+3| = 9+2x
GaryK [48]

Answer:

Step-by-step explanation:

|4x + 3| = 9 + 2x

We see the absolute value so we have to consider 2 cases:

(1)

4x + 3 = -9 - 2x

6x = -12

x = -2

(2)

4x + 3 = 9 + 2x

2x = 6

x = 3

Let's plug in both results.

|4(-2) + 3| = 9 + 2(-2)

|-5| = 9 - 4

5 = 5

Therefore x = -2 is a solution

|4(3) + 3| = 9 + 2(3)

|15| = 9 + 6

15 = 15

Therefore x = 3 is also a solution.

3 0
3 years ago
-17 &lt; 3 - 5x<br><br><br> Idek anymore
zubka84 [21]

Step-by-step explanation:

-17 < 3 - 5x

-3       -3     step 1: subtract 3 from both sides

-20 < -5x

/-5      /-5   step 2: divide both sides by 5

4 < x

8 0
3 years ago
In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.
slamgirl [31]

<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

b^2 = a^2 + c^2- 2a*c*cos(120)

b^2 = 81 + 25 - 2*9*5*(-0.5)

b=\sqrt{151}

Now finding angle A using law of cosine:

cos(A) = \frac{b^2+c^2-a^2}{2b*c}

cos(A) = \frac{151+25-81}{2*12.29*5}

cos A=0.7730

A=39.38

Therefore, the measure of angle A = 39°.

7 0
3 years ago
Read 2 more answers
Find the area of the triangle below.
Rom4ik [11]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case we have a baseline with its associated height right there. and so the area is

17 × 6 / 2 = 17 × 3 = 51 ft²

6 0
2 years ago
Will give brainlist plz help its for my 9 week exam<br><br> a. 228<br> b. 229<br> c. 172<br> d. 171
natka813 [3]

Answer:

I think its 229

if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229

4 0
3 years ago
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