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kupik [55]
3 years ago
15

A boat goes 3/4 hours with a speed of 8mph and 1/3 hours with a speed of 12mph. What distance did the boat cover in all this tim

e?
Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

<em>10 miles</em>

Step-by-step explanation:

Distance d = v t

v - speed/velocity

t - time

<em>d</em> = \frac{3}{4} (8) + \frac{1}{3} (12) = 6 + 4 = <em>10 miles</em>

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Three vertices of parallelogram ABCD are A(2,-6),B(-1,2),C(5,3).find the coordinates of vertex D
salantis [7]

Check the first picture below.


for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.

if two lines are parallel, they have the same slope, namely the <u>same rise and run</u>.

notice, the line BC has a run of 6 and a rise of 1, <u>arrows in red</u>, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.


now, for part atop

Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.

in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.


now, about QRST.

notice what we said about a parallelogram above, thus


\bf 8x+13=11x-23\implies 8x+36=11x\implies 36=3x \\\\\\ \cfrac{36}{3}=x\implies \boxed{12=x} \\\\[-0.35em] ~\dotfill\\\\ 2y+12=4y-4\implies 2y+16=4y\implies 16=2y \\\\\\ \cfrac{16}{2}=y\implies \boxed{8=y}


so then TQ ==> 2(8) + 12 ==> 16 + 12 ==> 28.

∡Q ==> 8(12) + 13 ==> 96 + 13 ==> 109°.

and since in a parallelogram, adjacent interior angles add up to 180°, then ∡Q + ∡T = 180°.

∡T ==> 180 - 109 ==> 71°.

3 0
3 years ago
Please solve all i will mark brainliest and 15 points.​
OleMash [197]

Answer:

Hope that will help you get

3 0
3 years ago
Identify the percent, amount, and base in this problem:<br><br> What is 20% of 50?
Julli [10]

Convert the percentage into a decimal

50 * .20 = 10

50 - 10 = 40

20% of 50 is 40

6 0
3 years ago
Read 2 more answers
The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.
Scorpion4ik [409]

Answer:

  • (C) 440 cm²

Step-by-step explanation:

<u>Volume:</u>

  • V = πr²h

<u>Given r = 5 cm and V = 110 cm³, find h:</u>

  • 1100 = π(5²)h
  • 1100/25 = πh
  • 44 = πh

<u>Curved surface area:</u>

  • S = 2πrh = 2*5*πh = 10*44 = 440 cm²

Correct choice is C

3 0
2 years ago
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What is 40 percent of 90 percent
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Answer:0.36

or 36

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