Answer:
58.1 degrees
Step-by-step explanation:
Given the following
JK = 9.4miles (towards south) negative y axis
If the move 15.1 miles towards east (that will be towards the positive x axis)
Using the SOH CAH TOA identity
opposite= 15.1 miles(side facing m<J)
adjacent= JK = 9.4miles
tan theta = opposite/adjacent
tan m<J = 15.1/9.4
tan m<J = 1.6063
m<J = arctan (1.6063)
m<J = 58.09 degrees
Hence the measure of m<J to the nearest tenth is 58.1 degrees
Answer:
It was an exponential increase
In 3 months, the bill will be $285.61
Step-by-step explanation:
First, this scenario is exponential, because the price of food is increasing with a percentage, based on the price that it was the previous amount.
Next, to find what the bill will be in 3 months, an equation needs to be made representing the situation.
Use the standard exponential equation: y = ab^x, where a is the initial amount, b is the growth rate, and x is the amount of time.
Plug in the values we know:
y = 130(1.3)^3
Solve for y
y = 285.61
So, 3 months later, the bill will be $285.61
Well, there are 52 cards in a deck, with 4 suits. there is a Jack and queen per suit, so that is a total of 8 jacks and queens in the deck. that probability looks like 8:52 as a ratio, or 2:13 simplified. so, you are likely to draw a Jack or queen 8 out of 52 times, or 2 out of 13 times
It was $930.
To over check, multiply it by 20% , you will get $186.
Hope this helps !
X=11+1=12 hope I helped you