A jet travels 510 miles in 5 hours. At this rate, how far could the jet fly in 15 hours? What is the rate of speed of the jet?

Mathematics

2 answers:

n200080 [17]3 years ago

8 0

Answer:

1530

Step-by-step explanation:

We already know that 5 hours is 510 miles and to know how much is 15 hours you will add 510 3 times 510 + 510 + 510 what 1530 would give

Assoli18 [71]3 years ago

8 0

1,530 because 510 miles in 5 hours multiply the hours by 3 and that’s 15 so you have to multiply both by 3 so it’s 1,530

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9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent

Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

$x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48$ $x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48$ x^2 = 34^2 + 34^2 - 2(34)(34) cos 138