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Gnoma [55]
3 years ago
13

Two​ trains, Train A and Train​ B, weigh a total of 198 tons. Train A is heavier than Train B. The difference of their weights i

s 30 tons. What is the weight of each​ train?
Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

A: 114, B: 84

Step-by-step explanation:

Let A be weight of Train A, B be weight of Train B. Since A is heavier than B by 30 tons, A = B + 30. Since A + B = 198, you can substitute for A to get (B+30) + B = 198. Then simplify so 2B = 168 and B = 84.

Then plug B into A = B+30 to get A = 114.

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Step-by-step explanation:

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3 years ago
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What is the sum of the roots of the quadratic equation x²+6x-14=0?​
aivan3 [116]

Answer:

<h3>Sum of Roots =<u> (-8)</u><u> </u><u> </u></h3><h3>Product of Roots = <u> </u><u> </u><u>(-84)</u><u> </u><u> </u></h3>

Step-by-step explanation:

{x}^{2}  + 6x - 14 = 0

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Product of the roots :

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8 0
3 years ago
At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up t
klemol [59]
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May          18          4
June         20          8
July          22        12
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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

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