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:
54 minutes
Step-by-step explanation:
The sum of fractions is ...
2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60
Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.
Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...
SS : Eng = (9/60) : (7/60) = 9 : 7
When we multiply the numbers in this ratio by 6, we find ...
SS : Eng = 54 : 42
Kaya spent 54 minutes studying social studies.
The better bargain is the 4 quarts
Answer:
Hello
Step-by-step explanation:
the Pythagoras Theorem proves this