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svlad2 [7]
3 years ago
12

Trinity's clothing store has 36 parking spots in front if the store. Eleven of the parking spaces are currently empty. What perc

ent of the parking spaces, rounded to the nearest percent, are filled with customer cars?
tell me how you did it
Mathematics
1 answer:
Mila [183]3 years ago
8 0
36 - 11 = 25

25 / 36 = .69

69%
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Cos y/ 1-sin y= 1+sin y/cos y. Verify the identity. Show All Steps!
Vlada [557]

Answer:

When proving identities, the answer is in the explanation.

Step-by-step explanation:

\frac{\cos(y)}{1-\sin(y)}

I have two terms in this denominator here.

I also know that 1-\sin^2(\theta)=\cos^2(theta) by Pythagorean Identity.  

So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here.  There will be other problems will you have to do this.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

Big note here: When multiplying conjugates all you have to do is multiply fist and last.  You do not need to do the whole foil.  That is when you are multiplying something like (a-b)(a+b), the result is just a^2-b^2.

Let's do that here with our problem in the denominator.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{(1-\sin(y))(1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{1^2-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{1-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{cos^2(y)}

In that last step, I apply the Pythagorean Identity I mentioned way above.

Now You have a factor of cos(y) on top and bottom, so you can cancel them out.  What we are really saying is that cos(y)/cos(y)=1.

\frac{1+\sin(y)}{cos(y)}

This is the desired result.

We are done.

6 0
3 years ago
Abigail is putting tiles on a table top. She needs 48 tiles for each of 8 rows. Each row will have 6 white tiles.
almond37 [142]
I think its like this 
each row has 6 white tiles
8 rows = 48 tiles 
48 - 6 = 42
42 x 8 = 336
so 8 rows = 6 white tiles and 42 purple tiles to make 48 tiles so she will need 336 more tiles to make each 8 rows have 48 tiles

hope this helps : )
8 0
2 years ago
The price of a 7-minute phone call is $1.05. What is the price of a 19-minute phone call
Leni [432]

Answer:

19.95

Step-by-step explanation:

if you take 1.05 times it by 19 you get your answer

7 0
2 years ago
If m∠5 = 115 degrees, find m∠1 =
lana66690 [7]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°

because they form corresponding Angle pair

Question 2. If m∠7 = 30 degrees, find m∠2 = 30°

because they form Alternate Exterior angle pair

Question 3. If m∠6 = 50 degrees, find m∠4 = 50°

because they form Alternate Interior Angle pair

Question 4. If m∠4 = 72 degrees, find m∠1 = 108°

because they form linear pair, their sum = 180°

  • Angle 4 + Angle 1 =180°

  • Angle 1 = 180° - Angle 4

  • Angle 1 = 180° - 72°

  • Angle 1 = 108°
4 0
2 years ago
One disadvantage of the range is that ______
WARRIOR [948]

Answer:

a) only extreme values are used in its calculation.

Step-by-step explanation:

In a data set, the range is given by the subtraction of it's highest value by it's lowest value.

The disadvantage is that it gives a high weight to extreme values, not focusing on central values. So the correct answer is given by option a

8 0
2 years ago
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