P(perfect square

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melomori [17]

Answer:

x = 13

Step-by-step explanation:

m∠ABC + m∠CBD = 180° {linear pair}

3x + 43 + 6x + 20 = 180

3x + 6x + 43 + 20 = 180

9x + 63 = 180

9x = 180 - 63

9x = 117

x = 117/9

x = 13

7 0

3 years ago

The graph of which function is decreasing over the interval (–4, ∞)? f(x) = (x + 4)2 + 4 f(x) = –(x + 4)2 + 4 f(x) = (x – 4)2 –

kow [346]

Your post would be clearer if you'd please put each function on its own line:

f(x) = (x + 4)2 + 4

f(x) = –(x + 4)2 + 4

f(x) = (x – 4)2 – 4

f(x) = –(x – 4)2 – 4

Also, use "^2" to denote "squaring." x2 has no meaning.

f(x) = (x + 4)^2 + 4 has a parabolic graph with vertex (-4,4). It increases steadily once x is greater than -4. Reject this choice.

f(x) = –(x + 4)^2 + 4 has a parab. graph with vertex (-4,4) also. It decreases steadily once x is greaster than -4. This is the answer.

Analyze the other 2 possible answers in the same way, please.

9 0

3 years ago

Read 2 more answers

Rudik [331]

Answer:

The ratio of their volumes is: $\frac{729}{64}$

Step-by-step explanation:

If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

$\frac{R}{r} =\frac{9}{4} \\R=\frac{9\,r}{4}$

where we have solved for "R" in terms of "r".

Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base ( $\pi *\,radius^2$ ).

$v=\frac{\pi\,r^2\,4\,}{3} =\pi r^2\,\frac{4}{3} \\V=\frac{\pi\,R^2\,9}{3}=\frac{\pi\,(\frac{9\,r}{4} )^2\,9}{3}=\frac{\pi\,r^2\,729}{16*3}=\pi r^2\,\frac{243}{16}$