Answer:
JK = 10.524
LK = 21.065
Step-by-step explanation:
all angles in a triangle add up to 180, so angle K = 42.
law of sines states that , where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.
in this case:
-----> JK =
= 10.524
and
-----> LK =
= 21.065
Answer: He is paid $90 last weekend.
Step-by-step explanation:
Since we have given that
Amount he earns per hour = $6
If he works on Saturday, he is paid time and a quarter .
Amount would be
If he works on Sunday, he is paid time and a half.
Amount would be
Number of hours he worked on Saturday = 6 hours
Number of hours he worked on Sunday = 5 hours
So, Total amount he is paid last weekend altogether is given by
Hence, he is paid $90 last weekend.
9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
Answer:
Age of Mark years
Age of Mark's dad years
Age of Mark's sister years
Step-by-step explanation:
Let age of Mark be years.
Mark's dad is three times older than Mark
Age of her Mark's dad
Mark's sister is 2 years younger than Mark
Age of Mark's sister years
The sum of their ages is 48.
Age of Mark years
Age of Mark's dad years
Age of Mark's sister years