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Lapatulllka [165]
3 years ago
9

what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?

Mathematics
1 answer:
givi [52]3 years ago
6 0
Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00  (nearest hundredth)  

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Malika bought 7 new pairs of shoes. Each pair of shoes cost the same amount and was discounted by $21.75.
ikadub [295]

Multiply the amount of the discount by pairs of shoes:

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A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

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Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
7 0
3 years ago
The triangles shown below must be congruent.
Anestetic [448]

Answer:

Yes the triangles are congurant.

Step-by-step explanation:

Because if you can see up and down triangles this means they are congurent.

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Answer:

{4, 5 }

Step-by-step explanation:

Solve the inequality

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The set of values that make the inequality true is { 4, 5 }

8 0
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