The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c
So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
Combine like terms, 1+6 is 7 and 2t+4t is 6t. so 6t+7=55. get the t by itself by subtracting 7 from both sides. 6t=48, divide by 6. t=8
Answer:. d. Last year some of their freshman students had a score of at least 1120 on the exam.
Step-by-step explanation:
If the average score is 1120, then some students scored more than 1120. Hence, those students scored at least 1120
Answer:
2.20$
11$
Step-by-step explanation:
18.70/8.5=2.2
2.2= 2.20$
2.2x5=11
11=11$
Answer:
105 boats
Step-by-step explanation:
Let x be the total number of boats in the marina.
If Two-thirds of the boats in the marina are white.
Fraction of the remaining boat= 1-⅔ =⅓
4/7 of the remaining boats are blue.
4/7 of ⅓ are blue
4/7 X ⅓ = 4/21 are blue
Fraction of Red Boats =
1-(Proportion of white Boats +Proportion of Blue Boats)
= 1-(2/3+4/21)=1/7
If there are 15 red boats,
1/7 of the total boats =15
1/7 X x=15
x=15X7
x=105
There are 105 boats in total on the marina
