Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
Easy
82% correct
82 out of 100 correct
82/100 of ttoal correct
total=50
82/100 times 50=
41/50 times 50=41 correct
ratio is 41:50
B is answer
Answer:
The number of elephant ears that must be sold to maximize profit is 400.
Step-by-step explanation:
Given that,
The profit that a vendor makes per day is given by
P(x)= - 0.004x² +3.2 x -200
where x is number of elephant ears.
P(x)= - 0.004x² +3.2 x -200
Differentiating with respect to x
P'(x)= - 0.008x+3.2
Again differentiating with respect to x
P''(x) = -0.008
For maximum or minimum P'(x)=0
- 0.008x+3.2=0
⇒0.008x=3.2
⇒ x = 400
Since at x=400, P''(x)<0, the profit is maximize.
P(400) = -0.004×400²+3.2×400-200
=440
The number of elephant ears that must be sold to maximize profit is 400.
D) Gabriella can exchange 100 U.S. dollars for every 75 euros.
15/6 is an improper fraction.
Lets convert this into a proper fraction.
How many times does 6 go into 15?
6*2 = 12
Only twice, so our whole number is 2.
15-12 = 3
3 is our numerator.
2 3/6 = 2 1/2
Mixed number form: 2 1/2
Final answer: 2 1/2
