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3 years ago

Find the value of x round the length to the nearest tenth. The diagram is not drawn to scale.

Mathematics

2 answers:

Sidana [21]3 years ago

7 0

Answer:

$x=2890.1m$

Step-by-step explanation:

From the given figure, it can be seen that AD is parallel to BC, therefore using the alternate angles property, we have

∠DAC=∠BCA=10°

Also, the measure of AB is 500m.

Now, using trigonometry, we have

$sin10^{\circ}=\frac{AB}{AC}$

Substituting the given values, we have

$0.173=\frac{500}{x}$

$x=\frac{500}{0.173}$

$x=2890.1m$

Therefore, the value of x is 2890.2 meters.

Anna35 [415]3 years ago

5 0

Answer:

Step-by-step explanation:

has to be 180

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3 years ago

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Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

$188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}$

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Read 2 more answers