Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
Answer:
Distance = abs(-1700)
Distance = 1700 miles
Step-by-step explanation:
NYC is located East of Los Angels.
The Airplane flies from Los Angeles to the left direction from NYC.
Which is negative direction.
Therefore, distance = -1700
Here the distance cannot be negative even though if it flies in negative direction.
Therefore, we use the absolute value.
The absolute value of a number is always positive.
So, distace = abs( -1700)
Distance = 1700 miles.
Hope this will help you understand the concept.
Thank you.
Answer:
C.2
Step-by-step explanation:
Kase pinag papalus lang yan
I hope makatulong
and Pa follow narin po plss
We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
If you there isn't enough digits to place, just add zeroes to product to make it a full product or don't even use a decimal point at all.
