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3 years ago

Which trigonometric ratios are correct for triangle ABC? Check all that apply.

Mathematics

1 answer:

Alina [70]3 years ago

5 0

Assuming the - are bullet points and not negative signs:
sin = opposite/hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent.
Also remember the special properties of the 30 - 60 - 90 triangle.
This tells us that side AB = 9√3

Combining this info:
sin (C) = 9√3 ÷ 18 = √3 ÷ 2
cos(B) = 9 √3 ÷ 18 = √3 ÷ 2
tan(C) = 9 √3 ÷ 9 = √3
sin(B) = 9 ÷ 18 = 1/2
tan(B) = 9 ÷ 9√3 = 1 / √3 = √(3) ÷ 3

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2 years ago

6) On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many mi

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2 years ago

Read 2 more answers

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and

MakcuM [25]

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

The complete question is

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought a total of 14 peaches and bananas altogether. Determine the number of peaches and the number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought a total of 14 bananas and peaches altogether

$x+y=14$ -----> equation A

She bought $20.80 worth of bananas and peaches

$0.80x+2y=20.80$ -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

3 0

3 years ago

Calculate the distance between the two given point T(6,-2),U(-2,-12)

slava [35]

Use the distance formula: $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

(6, -2), (-2, -12)
$\sqrt{(-2 - 6)^2 + (-12 - -2)^2}$ ⇒ $\sqrt{(-8)^2 + (-10)^2}$
$\sqrt{64 + 100}$ ⇒ $\sqrt{164}$
$\sqrt{164}$ = 12.8

The distance between points T and U is 12.8 units.

3 0

2 years ago