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3 years ago

Please help me work this problem

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

Answer:

13a

Step-by-step explanation:

9a + 3a + a = 13a

igomit [66]3 years ago

4 0

Answer:

13a

Step-by-step explanation:

Given

9a + 3a + a ← are like terms, they all have the variable a

To simplify add the numeric parts of the terms, that is

= (9 + 3 + 1 )a ← note a has a coefficient of 1

= 13a

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What is the length of the hypotenuse of the triangle below

Hatshy [7]

One way to solve this is to use Pythagorean theorem: the square of one leg of triangle plus square of other leg of the triangle equals c the hypotenuse (longest side of triangle). You might see this as the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
In this case, the legs are 3√2 and the hypotenuse is h.
Using the formula:
(3√2)² + (3√2)² = h²
18 + 18 = h²
h = 6

The other way to do this is with trigonometric angles.
Remember cosine is adjacent over hypotenuse.
cos(45°) = (3√2) / h
h = (3√2) / cos(45°)
h = 6

4 0

4 years ago

Read 2 more answers

In a box there are 21 identical pieces that have been enumerated using odd numbers from 5 to 45. How many tiles should be drawn

Orlov [11]

These are the only combinations of exactly 3 tiles that add to 33.

5,7,21

5,9,19

5,11,17

5,13,15

7,9,17

7,11,15

9,11,13

All tiles with numbers above 21 do not help you. 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45. There are 12 of them.

Every three-number combination must have one of the numbers 5, 7, or 9, so if the six numbers from 13 to 21 are picked, in addition to the 12 higher numbers mentioned above, you already picked 18 tiles, and you still have no solution. To obtain the solutions 5,7,21; 5,9,19; 7,9,17; he needs two more numbers in addition to the 18 he already has, so he needs 20 tiles in total to be guaranteed three of them add to exactly 33.

Answer: 20 tiles

4 0

3 years ago

PRE-FINAL REVIEW

densk [106]

The equation that can be used to represent total tickets sales is 2170 = 5s + 2f + 10a

<h3>Equation</h3>

let

Number of students tickets = s
Number of faculty tickets = f
Number of alumni tickets = a

Expression for number of students tickets sold;

s = f + 15

Expression for number of faculty tickets sold;

f = 2a

Expression for number of alumni tickets sold;

f = 2a

a = f/2

Cost of students tickets = $5
Cost of faculty tickets = $2
Cost of Alumni tickets= $10
Total revenue = $2170

2170 = 5s + 2f + 10a

Learn more about equation:

brainly.com/question/4344214

#SPJ1

5 0

2 years ago

Find the equations of the tangent lines to x2+y2=1 at x=0, x=1 and x=35.

Ivanshal [37]

Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].

So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).

There is one tangent at x = 1. It is x = 1 (a vertical line).

There is no tangent at x = 35, because the original equation has no solution at x = 35.

4 0

3 years ago

Can someone please help me

Aneli [31]

Answer:

r = 5

Step-by-step explanation:

To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.

Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.

5 0

3 years ago