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Shtirlitz [24]
3 years ago
13

David and Jim like to race each other for best times. In April, the ratio of David winning to Jim was 5 : 9. In August, the rati

o changed to 10 : 4. If David won 15 races in April, how many races did each brother win in August?
Mathematics
2 answers:
mixer [17]3 years ago
8 0
15: 6 is the answer i got it right so hope it helps
Artemon [7]3 years ago
6 0

15: 6

hope this helps

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Amiraneli [1.4K]

Answer:

The approximated length of EF is 2.2 units ⇒ A

Step-by-step explanation:

<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>

In the given figure

∵ The triangle DFE has a right angle F

∵ The opposite side to angle D is EF

∵ The adjacent side to angle D is DF

→ By using the tangent ratio above

∴ tan(∠D) = \frac{EF}{DF}

∵ DF = 6 units

∵ m∠D = 20°

→ Substitute then in the ratio above

∴ tan(20°) = \frac{EF}{6}

→ Multiply both sides by 6

∴ 6 tan(20°) = EF

∴ 2.183821406 = EF

→ Approximate it to the nearest tenth

∴ 2.2 = EF

∴ The approximated length of EF is 2.2 units

7 0
3 years ago
A dog is leashed to the corner of a house. How much running area does the dog have? Round answer to the nearest square foot, if
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Answer:

  942 ft²

Step-by-step explanation:

The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...

  A = πr² = π(20 ft)² = 400π ft²

Then 3/4 of that area is ...

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The area of the dog's run is about 942 ft².

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4 years ago
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taurus [48]

Answer:

12

Step-by-step explanation:

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