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JulsSmile [24]
2 years ago
11

All real numbers that are less than -3 or greater than or equal to 5

Mathematics
1 answer:
DochEvi [55]2 years ago
8 0
All real numbers that are less that -3 or greater than or equal to 5 is x <-3 and x>=5
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Find the cosine of ∠D.
Alina [70]

Answer:

5/13

Step-by-step explanation:

Using SOHCAHTOA

Cosine of D = adjacent / hypotenuse

Cosine of D = 5 / 13

8 0
2 years ago
Find the area of each figure. round to the nearest tenth if necessary .
Alex787 [66]

We first would divide the Pentagon into two shapes, one a square and the other a triangle. To find the height of the triangle we must minus the 15cm to the 10cm, which gives us 5cm.

5cm= height of triangle

7cm= base of triangle

Then, apply the area of triangle formula

which is: A=(b×h)÷2

so the area would be 17.5cm squared.

For the square, 10= height and the 7=base

The formula for rectangles is:

A=b×h

so, the area is 70cm squared.

if you want the total area add the two area together, which equals 87.5cm squared.

I hope this helps.

7 0
3 years ago
Solve the following equations <br>x-1=6/x​
Whitepunk [10]

Answer:

or,x2-x=6

or,x2-x-6=0

or,x2-3x+2x-6=0

or,x(x-3)+2(x-3)=0

or,(x-3)(x+2)=0

so either x=3

or x=-2

3 0
3 years ago
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Vanyuwa [196]
You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = 36x^{2} Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

36x^{2} + 12x -12x - 4

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

36 x^{2} - 4 This is your product
6 0
3 years ago
An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats i
PSYCHO15rus [73]

Answer:

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

Step-by-step explanation:

The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:

40 - (3 x 2)

= 40 - 6

= 34 paddle boats.

The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.

Total Revenue = 34 x 6

                        = $204

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

4 0
3 years ago
Read 2 more answers
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