To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 17
The hypotenuse is 38
So we have
cos A = 17/38
A = cos-¹ 17/38
A = 63.4
<h3>A = 63° to the nearest degree</h3>
To find Angle C we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 17
The hypotenuse is 38
So we have
sin C = 17/38
C = sin-¹ 17/38
C = 26.57
<h3>C = 27° to the nearest degree</h3>
Hope this helps you
<span>You could set up the relation as a table of
ordered pairs. Then, test to see if each element in the domain is
matched with exactly one element in the range. If so, you have a function!</span>
<u> 24 </u> <u> 36 </u> <u> 60 </u>
<u>1</u> × 24 <u>1</u> × 36 <u>1</u> × 60
<u>2</u> × <u>12</u> <u>2</u> × 18 <u>2</u> × 30
<u>3</u> × 8 <u>3</u> × <u>12</u> <u>3</u> × 20
<u>4</u> × <u>6</u> <u>4</u> × 9 <u>4</u> × 15
<u>6</u> × <u>6</u> 5 × <u>12</u>
<u>6</u> × 10
GCF(24, 36, 60) = 12
Answer:
Less than.
Step-by-step explanation:
Because they have the same denominator, you can ignore them and just look at the numerator. 4 < 6.
8x = 2y + 5
3x = y + 7
We will use the second equation to substitute in the first one. Here's how to do it:
3x = y + 7
y = 3x - 7 (now substitute this in the first equation)
8x = 2y + 5
8x = 2(3x - 7) + 5
8x = 6x - 14 + 5
8x = 6x - 9
6x - 9 = 8x
6x - 8x = 9
-2x = 9
x = -9/2 (this is the first coordinate, now we need to find y)
We use the second equation again:
3x = y + 7
y + 7 = 3x
y + 7 = 3(-9/2)
y + 7 = -27/2
y = -27/2 - 7
y = -27/2 - 14/2
y = -41/2 (this is the second coordinate)
This means that the solution set is the second option: <span>{(-9/2, -41/2)}</span>
