Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
For a relation to be a function it must be
relation is not a function.
In the above options, C is
relation therefore cannot be a function.
The reason is that 3 alone maps onto -2 and 5, in the ordered pairs (3,-2) and (3,5). This disqualifies it from being a function.
Hence the graph of this relation will not pass the vertical line test
Answer:
6 gallons of punch makes her recipe.
Step-by-step explanation:
Given:
Quarts of ginger ale (g) = 6
Quarts of lemonade (l) = 8
Quarts of raspberry (r) = 10
Therefore, the total volume of fruto punch is equal to the sum of the volume of each of its ingredients.
So, Total volume = 
Total volume = 6 + 8 + 10 = 24 quarts
Now, we know that,
1 quart = 0.25 gallons
Therefore, from unitary method,
24 quarts = 24 × 0.25 = 6 gallons of punch
Therefore, 6 gallons of punch makes her recipe.
Answer:
6/5=x/15
Step-by-step explanation:
6/5=x/15,where x is hight of the lamp post
x=18
Answer:
(A) 2 meter
Step-by-step explanation:
It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.
Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have
≈
Thus, option A is correct.
