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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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Write the equation of the line given an x -intercept of 10 and y -intercept of 5.

Sergeu [11.5K]

Answer:

y = (-1/2)x + 5

Step-by-step explanation:

As we move from the y-intercept (0, 5) to the x-intercept (10,0), x increases by 10 units while y decreases by 5 units. Thus, the slope of this line is

m = rise / run = -5 / 10 = -1/2.

Since we know both the slope and the y-intercept of this line, let's use the slope-intercept form of the equation of a straight line: y = mx + b.

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y = (-1/2)x + 5

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2 years ago

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2 years ago

Which is the following number has a prime factorization of 2 x 5x5? 50. 20. 30. 15.

dybincka [34]

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2 years ago

Anyone have the answer for this

sergiy2304 [10]

$\huge\bold{Given:}$

Length of the base = 16 km.

Length of the hypotenuse = 34 km. $\huge\bold{To\:find:}$

✎ The length of the missing leg '' $a$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

The length of the missing leg "a" is $\boxed{30\:km}$ .

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

Using Pythagoras theorem, we have

$({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {a}^{2} + ({16 \: km})^{2} = ({34 \: km})^{2} \\ ⇢ {a}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇢ {a}^{2} = 1156 \: {km}^{2} - 256 \: {km}^{2} \\ ⇢ {a}^{2} = 900 \: {km}^{2} \\ ⇢a \: = \sqrt{900 \: {km}^{2} } \\ ⇢a = \sqrt{30 \times 30 \: {km}^{2} } \\ ⇢a = 30 \: km$

$\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:leg\:"a"\:is\:30\:km.}$

$\huge\bold{To\:verify :}$

$( {30 \: km})^{2} + ({16 \: km})^{2} =( {34 \: km})^{2} \\ ⇝900 \: {km}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\⇝1156 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇝L.H.S.=R. H. S$

Hence verified. ✔

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘$

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2 years ago