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2 years ago

What are the values of x and y? (9x - 19y) (5x - 17) (3x + 3)º X = y =

Mathematics

1 answer:

TEA [102]2 years ago

6 0

Answer: x = 10 and y = 3

Step-by-step explanation:

Due to the x rule, (5x - 17) = (3x + 3)

If we add 17 to both sides:

5x = 3x + 20

Take away 3x from both sides

2x = 20

Divide by 2:

X = 10

This means that (5x - 17) = (3x + 3) = 33

Since all angles must add to 360, the top angle = (360- (33*2)) /2

(360-66) /2

294 /2

147

This shows that 9x - 19y = 147

90 - 19y = 147

Minus 90 both sides

19y = 57

Y = 3

So, x = 10 and y = 3

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Paha777 [63]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

4x+24=10x

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3 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

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H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

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2 years ago

9.4 the tangent ratio<br> please help on #27 and 28

Ilya [14]

Answer/Step-by-step explanation:

27.

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✔️Sin 36 = opp/hyp

Sin 36 = s/5

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s = 2.9

✔️Cos 36 = adj/hyp

Cos 36 = r/5

r = 5*cos 36

r = 4.0

29.

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Sin 70 = w/10

w = 10*sin 70

w = 9.4

✔️Cos 70 = adj/hyp

Cos 70 = v/10

v = 10*cos 70

v = 3.4

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