Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
Find the difference in gallons and the difference in the weights
46 - 12 = 34 gallons
2399 - 2176 = 223 pounds
so 34 gallons of gas weighs 223 pounds
find weight per pound: 223 pounds / 34 gallons = 6.5588 pounds per gallon
round to 6.6 pounds per gallon
54 gallons - 46 gallons = 8 gallons
8 gallons x 6.6 pounds per gallon = 52.8 pounds, round to 53 pounds
2399 + 53 = 2452 weight of plane with 54 gallons
Answer:
Correct choices are A and C
Step-by-step explanation:
Inscribed angles property: The inscribed angles subtended by the same arc are equal.
1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).
2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).
3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.
4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.
Answer:
0 0 0 0 0 or
1 2 2 2 3
Step-by-step explanation:
These satisfy all requirements.
If the student got 123 marks and failed by 39, your first step would be to add the two together, getting 162. This is the amount of marks needed to pass the test.
You would then divide 162 by .36 (.36 is equivalent to 36%). This would result in a maximum of 450 marks.
The maximum marks on this test are 450 marks.
