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2 years ago

5

Ann is grouping 38 rocks.she can put them into groups of 10 rocks or as single rocks .what are the different ways Ann can group

the rocks ?

1 answer:

photoshop1234 [79]2 years ago

4 0

Answer:

3 and 8/10

Step-by-step explanation:

38/10=3.8 you can have three groups of 10 and 8/10 of another group

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Simplify 6-(-14)+(-2)

garik1379 [7]

Answer:

18

Step-by-step explanation:

when there is a - in front of an expression in parentheses, change the sign of each term in the expression

6+14+(-2)

then calculate the sum or difference

6+14-2= 18

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2 years ago

Find g(x), where g(x) is the reflection across the y-axis of f(x)=x.

3241004551 [841]

X➝-x by reflection, so g(x)=-x

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2 years ago

Find the volume of the solid.

dmitriy555 [2]

In Cartesian coordinates, the region (call it $R$ ) is the set

$R = \left\{(x,y,z) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } 2 \le z \le 4-x^2-y^2\right\}$

In the plane $z=2$ , we have

$2 = 4 - x^2 - y^2 \implies x^2 + y^2 = 2 = \left(\sqrt2\right)^2$

which is a circle with radius $\sqrt2$ . Then we can better describe the solid by

$R = \left\{(x,y,z) ~:~ 0 \le x \le \sqrt2 \text{ and } 0 \le y \le \sqrt{2 - x^2} \text{ and } 2 \le z \le 4 - x^2 - y^2 \right\}$

so that the volume is

$\displaystyle \iiint_R dV = \int_0^{\sqrt2} \int_0^{\sqrt{2-x^2}} \int_2^{4-x^2-y^2} dz \, dy \, dx$

While doable, it's easier to compute the volume in cylindrical coordinates.

$\begin{cases} x = r \cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \end{cases} \implies \begin{cases}x^2 + y^2 = r^2 \\ dV = r\,dr\,d\theta\,d\zeta\end{cases}$

Then we can describe $R$ in cylindrical coordinates by

$R = \left\{(r,\theta,\zeta) ~:~ 0 \le r \le \sqrt2 \text{ and } 0 \le \theta \le\dfrac\pi2 \text{ and } 2 \le \zeta \le 4 - r^2\right\}$

so that the volume is

$\displaystyle \iiint_R dV = \int_0^{\pi/2} \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta \, dr \, d\theta \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta\,dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} r((4 - r^2) - 2) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} (2r-r^3) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \left(\left(\sqrt2\right)^2 - \frac{\left(\sqrt2\right)^4}4\right) = \boxed{\frac\pi2}$

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1 year ago

Help with this math question WILL GIVE BRAINLIEST

sergeinik [125]

Answer:

B

Step-by-step explanation:

5 0

2 years ago

Line segment XY is tangent to circle Z at point U. If the measure of is 84°, what is the measure of ? 42° 84° 96° 168°

Andreas93 [3]

Answer:

The measure of angle YUV is equal to $m$

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

$arc\ UV=84\°$ -----> given problem

so

$m$ ------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

$ZU=ZV=radius$

so

$m$ -----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of a triangle is equal to $180\°$

so

$m$

$2m$

substitute and solve for m<ZUV

$2m$

$m$

$m$ ------> by complementary angles

solve for m<YUZ

$48\°+m$

$m$

7 0

3 years ago

Read 2 more answers