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Vlad [161]
2 years ago
8

Expand then fully factorise 9(f + 3) +36f - 3)

Mathematics
1 answer:
Ganezh [65]2 years ago
3 0

Answer:

3(15f + 8)

Step-by-step explanation:

9f + 27 + 36f - 3

We can take out 3.

3(3f + 9 + 12f -1)

3(15f + 8)

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Which statements are true about the trigonometric ratios of this triangle​
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Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

             = \frac{11}{22}

             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

              = \frac{11}{22}

              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

3 0
2 years ago
Fiona wrote the linear equation y = 2/5 X -5. When Henry wrote his equation they discovered that his equation had all the same S
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The equation of the graph is given as y = (2/5)x - 5.

You have to figure out which of the choices equals the equation given,
y = (2/5)x - 5.
You could solve each of the answer choices for y, but since each choice is in the format x - (m)y = b, you can put the given equation in that format too.

y= \frac{2}{5}x - 5 \\ 
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3 years ago
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Answer:

vertex=(1,-3)

y-intercept=(0,-2)

x-intercept=(1,+\sqrt{3},0)

axis of symmetry= 1

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3 years ago
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Nat2105 [25]

Of course!

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So if it's a 6x6x6 cube, it's 6*6*6 = 216

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So if it's a 6x7x8 prism, it's 6*7*8 = 336

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So if the base's radius is 6 and the height is 7, it's π*6^2*7 = 252π

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