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3 years ago

Two similar solids are shown A and B

Mathematics

1 answer:

vodomira [7]3 years ago

5 0

Answer:

Step-by-step explanation:

this is a ratio and proportion of two similar solids

vol A = 60 cm³ and A = 3cm

vol B = ? and B = 6 cm

B 6

do cross multiply:

3B = 60(6)

B = 120 cm³

therefore, the vo. of B is 120 cm³

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Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on

Ira Lisetskai [31]

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, $T = 2\pi \sqrt{\frac{L}{32}}$ , where T is the time taken and L is the length of the swing.

So, we have,

$2.2= 2\pi \sqrt{\frac{L}{32}}$

i.e. $\frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}$

i.e. $(\frac{2.2}{2\pi})^{2}=\frac{L}{32}$

i.e. $L=32\times (\frac{2.2}{2\pi})^{2}$

i.e. $L=32\times \frac{4.84}{4 \pi^2}$

i.e. $L=32\times \frac{1.21}{\pi^2}$

i.e. $L=\frac{38.72}{9.87}$

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

8 0

3 years ago

Which of the following correctly rearranged the equation to represent solution for x in terms of y and a

Maksim231197 [3]

$x=\frac{y-5}{a}$

6 0

3 years ago

For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe

Rus_ich [418]

To solve the inequality $\frac{x^2+x+3}{2x^2+x-6}\ge \:0$

$\mathrm{Factor\:the\:left\:hand\:side\:}\frac{x^2+x+3}{2x^2+x-6}:$

The numerator $x^2+x+3$ is not factorizable.

so factor the denominator $2x^2+x-6$ :

$2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\$