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vaieri [72.5K]
3 years ago
14

What is closest to the total length of sex cars?

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
5 0

<u>Answer:</u>

32.5 ft

<u>Step-by-step explanation:</u>

Here we are given a view of a six cars roller coaster which becomes right angled triangle with a known angle of 38°, length of the perpendicular to be 20 feet and we are to find the length of the six cars.

For that, we can use the formula for sin for which we need an angle and the lengths of base and hypotenuse.

sin \alpha =\frac{perpendicular}{x}

So putting in the given values to get:

sin 38=\frac{20}{x}

x=\frac{20}{sin 38}

x=32.48

Therefore, the length of six cars is the closest to 32.5 ft.




maks197457 [2]3 years ago
3 0

Answer:

D) 32.5 ft

Step-by-step explanation:

Here we have to use the trigonometric ratio.

We need to find the length of the hypotenuse.

We use sin ratio.

Sin 38 = Opposite / Hypotenuse

Here opposite = 20, Hypotenuse = Length of the six cars

sin 38 = 20 / length of the six cars

The length of six cars = 20 / sin 38

The length of the six cars = 32.48

Which is closest to 32.5 ft

Thank you.

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Help me!! A water tank is 1/8 full. The tank is 3/4 full when 42 gallons of water is added to the tank. How much can the water t
chubhunter [2.5K]

Answer(s):

1.) 56 gallons

2.) 7 gallons

3.) 28 gallons

Step-by-step explanation:

<u><em>Q1: How much water can the tank hold?</em></u>

Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.

42/3 = 14

Now, multiply 14 by the denominator, 4.

14 x 4 = 56.

<em><u>So, the tank can hold 56 gallons.</u></em> [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.

<u><em>Q2: How much water was originally in the tank?</em></u>

We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]

1/8(56/1) = 7

<u><em>This means that the tank was originally 7 gallons full.</em></u> [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]

<u><em>Q3: How much water is in the tank when it is 1/2 full?</em></u>

Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.

56/2 = 28

<em><u>So, when the tank is 1/2 full, it contains 28 gallons.</u></em> [If you want to double check this answer, take  the fraction 28/56 and simplify it. When you do, you get 1/2.]

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3 years ago
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erik [133]
The Circles Help Figure Out What Angle The Shape has
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2 years ago
Why does the formula for area of a triangle makes sense.
galben [10]

Answer: bh=4×5=20b, h, equals, 4, times, 5, equals, 20 square units, so the area of the triangle is \dfrac 12 bh = \dfrac 12 \times 4 \times 5 = 10

2

1

​

bh=

2

1

​

×4×5=10start fraction, 1, divided by, 2, end fraction, b, h, equals, start fraction, 1, divided by, 2, end fraction, times, 4, times, 5, equals, 10

Step-by-step explanation:

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2 years ago
On a​ map, 1 inch equals 20 miles. Two cities are 7 inches apart on the map. What is the actual distance between the​ cities?
MrRa [10]

Answer:

140 miles

Step-by-step explanation:

1 times 20 (1 inch=20 miles)

2 times 20 (2 inches=40 miles)

3 times 20 (3 inches=60 miles)

4 times 20 (4 inches=80 miles)

5 times 20 (5 inches=100 miles)

6 times 20 (6 inches=120 miles)

7 times 20 (7 inches=140 miles)

Hope this helped!! :)

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2 years ago
PLEASE PLEASE HELP ME:(( I NEED WORKING AS WELL
mr Goodwill [35]

the equation of the line has form

y=kx+b

\left \{ {{5=k*0+b} \atop {9=k*2+b}} \right. \\b=5\\9=2k+5\\2k=4\\k=2, so

y=2x+5

The second line is parallel to the first and runs 7 units lower, so b=5

0=1k+5\\k=-5\\y=-5x+5

8 0
2 years ago
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