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2 years ago

What is the sine ratio of angle E? A - 5/3 B - 3/5 C - 5/4 D - 4/5

Mathematics

2 answers:

sergejj [24]2 years ago

7 0

Answer:

The correct option is B.

Step-by-step explanation:

In a right angled triangle

$\sin \theta=\frac{perpendicular}{hypotenuse}=\frac{opposite}{hypotenuse}$

In the given triangle DEF, the opposite sides of angle E is DF=6 units and hypotenuse EF=10 units.

The sine ratio of angle E is

$\sin E=\frac{DF}{EF}$

$\sin E=\frac{6}{10}$

$\sin E=\frac{3}{5}$

The sine ratio of angle E is 3/5, therefore the correct option is B.

Andrej [43]2 years ago

3 0

Sine: opposite divided by the hypotenuse

So, S = 6/10
S = 3/5

{B} is what I got.

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we know that

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3 years ago

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schepotkina [342]

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megan is going to make a drink using the instrutions below mix 2 parts of fruit juice with 5 parts if sparkling water. megan has

OLEGan [10]

Answer:

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Step-by-step explanation:

According to the statement we have that the ratio between fruit juice and sparkling water is 2/5.

Therefore, we could also say that:

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with it could be done with 200 mL of fruit juice and 500 mL of sparkling water, so for 400 mL, how much would it be:

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Therefore, the largest amount of the drink can be made with 160 mL of fruit juice and 400 mL of sparkling water.

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2 years ago

What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?

Hitman42 [59]

Answer:

$\large\boxed{y-12=\dfrac{5}{6}(x+9)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

We have

$m=\dfrac{5}{6},\ (-9,\ 12)\to x_1=-9,\ y_1=12$

Substitute:

$y-12=\dfrac{5}{6}(x-(-9))\\\\y-12=\dfrac{5}{6}(x+9)$

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2 years ago