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2 years ago

If a shape has line symmetry then it cannot have rotational symmetry.true or false

Mathematics

1 answer:

Mashcka [7]2 years ago

3 0

That is true i do believe

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Find the volume of the solid bounded by z = 2 - x2 - y2 and z = 1. Express your answer as a decimal rounded to the hundredths pl

butalik [34]

Answer:

The answer is " $(\frac{\pi}{2})$ ".

Step-by-step explanation:

$z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)$

Let add equation 1 and 2:

Using formula: $x^2+y^2=1 \\\\$

convert to polar coordinates

$r=2$

$\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\$

$=\int^{2\pi}_{0}\int^{1}_{0} (Z_2-z_1)r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r) \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0} \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4}) \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\$

8 0

2 years ago

A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius

Korolek [52]

14.81 radians/second

Step-by-step explanation:

3 0

2 years ago

Given f(x) = -4x+7 and g(x) =x^3 , choose the expression for (fog)(x)

SOVA2 [1]

Answer:

-4x^3 + 7

Step-by-step explanation:

(fog)(x) ➡ write whole value of g(x) instead of x in the f(x) function

-4 (x^3) +7 ➡ -4x^3 +7

5 0

3 years ago

Read 2 more answers

Last question of the day........<br> Was Orange a Color or A fruit First?

Stolb23 [73]

Answer:

colour

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can you help me please?

Westkost [7]

Answer:

C. 3

Step-by-step explanation:

In arithmetic, the range of a set of data is the difference between the largest and smallest values. However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.

2 - (-1) = 3

6 - 3 = 3

etc...

7 0

2 years ago