Answer:
40° D. is your answer to this question
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
Firstly, you need to combine like terms within that side of the equation.
Take -3x +9x and you’ll get 6x.
Next, combine like terms on the other side of the equation.
Take -5-1 and you’ll get -6
So far you should have:
6x+2=4x-6
Subtract 4x on each side!! Cancel 4x-4x! Solve 6x-4x!
Now you’ll get:
2x+2=-6
Subtract 2 on each side!!
Cancel out 2-2 and solve -6-2.
You should get:
2x=-8
Lastly, divide 2 on each side.
Cancel out 2/2 and solve 8/2.
Your final answer should be:
X = -4
Unit rate mean 'how many per one'.
If you pay 10 dollars for 5 pears,
The unit rate would be 2 dollars per pear
$3-$2.50=$0.50 (difference in $ of each hot dog and hamburger)
take 25 total as all hamburgers
25x $2.50=$62.50
$70.50-$62.50=$8
$8 ÷ $0.50 = 16
16 hot dogs, 9 hamburgers
Check :
16 x $3 = $48
9 × $2.50 = $22.50
$48+$22.50=$70.50
