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Dafna11 [192]
3 years ago
15

1 +1 2+2 3+3 4+4 5+5 6+6

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
46 i think. sorry if i’m wrong
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Alonzo is $120 in debt. He makes S15 per hour. He wants to have at least $75 left over after he has paid off his debt. What's th
iragen [17]

Given that,

Alonzo is $120 in debt. He makes $15 per hour. He wants to have at least $75 left over after he has paid off his debt.

To find,

The inequality and the solution.

Solution,

Let he make $x per hour. Here, $120 is fixed. $15 is added per hour.

ATQ,

120 + 15x\ge 75

For atleast, we use \ge.

Subtract 120 from both sides.

120 + 15x-120\ge 75-120\\\\15x\ge -45\\\\x\ge -3

So, the required answer is greater than -3.

6 0
3 years ago
HELPPP
Ber [7]

Answer:

tan

Step-by-step explanation:

take 19 degree as reference angle

using tan rule

tan 19=opposite/adjacent

0.34=14/x

x=14/0.34

x=41.17

x=41.2

3 0
3 years ago
Anybody know the correct answer?
earnstyle [38]

Since \csc^2{x}=\frac{1}{\sin^2{x}} and \cot^2{x}=\frac{\cos^2{x}}{\sin^2{x}}, we can rewrite the right side of the equation as

\frac{1}{\sin^2{x}}-\frac{\cos^2{x}}{\sin^2{x}} =\frac{1-\cos^2{x}}{\sin^2{x}}

Using the identity \sin^2{x}+\cos^2{x}=1, we can subtract \cos^2{x} from either side to obtain the identity \sin^2{x}=1-\cos^2{x}

substituting that into our previous expression, the right side of our equation simply becomes

\frac{\sin^2{x}}{\sin^2{x}}=1

We can now write our whole equation as

3\tan^2{x}-2=1

Adding 2 to both sides:

3\tan^2{x}=3

dividing both sides by 3:

\tan^2{x}=1

\tan{x}=\pm1

When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4

4 0
3 years ago
HELP WITH MATH!!!!!!!!
Likurg_2 [28]

Answer:

28 units sqr

Step-by-step explanation:

Area of Rectangle

A= Lw = 8(4) = 32

Area of Triangle

A= \frac{b(h)}{2} = \frac{2(4)}{2} = 4

32- 4 = 28 units sqr

8 0
3 years ago
Mr. and Mrs. Preston and their two children are very excited about their upcoming
ki77a [65]

Answer:

They will spend less at the sunny side hotel

Step-by-step explanation:

The attachment completes the question.

From the question, we understand that there are 4 individuals involved.

  • Mr. Preston (1)
  • Mrs. Preston (1)
  • The children (2)

And they will spend one night

First, we need to calculate the expenses in Traveler's hotel.

Rate = \$107.10 (for 3 people)

Additional\ Person = \$21.55 (for 1 person)

Breakfast = \$8.75 * 4 (for 4 people)

Tax = \$16.85

Total Expenses

Total = \$107.10 + \$21.55 + \$8.75* 4 + \$16.85

Total = \$107.10 + \$21.55 + \$35.00 + \$16.85

Total = \$108.50

For Sunny Side hotel:

Rate = \$152.95 (for 4 people)

Tax = \$21.34

Total Expenses:

Total = \$152.95 + \$21.34

Total = \$174.29

By comparison, they will spend less at the sunny side hotel.

7 0
3 years ago
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