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natali 33 [55]
3 years ago
11

Mrs. Rodríguez will make name tags for each of the 45 choir members and 30 orchestra members. The materials for each name tag co

st $0.44. What is the total cost of the materials Mrs. Rodríguez will use to make these name tags?
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
6 0

Answer:

It's $33

Step-by-step explanation:

torisob [31]3 years ago
3 0

Answer:

It should be $33 - - - - -

Step-by-step explanation:

45 + 30 = 75

75 × 0.44 = 33

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Consider the force field and circle defined below.
grin007 [14]

By Green's theorem,

\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy

where C is the circle x^2+y^2=9 and D is the interior of C, or the disk x^2+y^2\le1.

Convert to polar coordinates, taking

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta

Then the work done by \vec F on the particle is

\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0

4 0
2 years ago
The diameter of a circle endpoints are A(-1, 5) and B(4,-3). Use the midpoint formula to find the coordinates of the center of c
mina [271]

Answer:

centre = (\frac{3}{2}, 1 )

Step-by-step explanation:

using the midpoint formula

midpoint = [\frac{1}{2}(- 1 + 4), \frac{1}{2}(5 - 3) ] = (\frac{3}{2}, 1 )


6 0
3 years ago
If 8 people want to share a 50 pound sack of rice equally by weight about how many pounds of rice will each person get
Archy [21]

Answer:

6.25 or 6 1/4

Step-by-step explanation:

because 50 divided by 8 is 6.25

3 0
2 years ago
Find the perimeter of the pentagon MNPQR with vertices ​M(2​, 4​), ​N(5​, 8​), ​P(​8, 4​), ​Q(8​, 1​), and ​R(2​, 1​)
Gekata [30.6K]

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

p = MN + NP + PQ + QR + RM (1)

p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}} (1b)

If we know that M(x,y) = (2,4), N(x,y) = (5,8), P(x,y) = (8,4), Q(x,y) = (8,1) and R(x,y) = (2,1), then the perimeter of the pentagon MNPQR is:

p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}

p = 22

The pentagon MNPQR has a perimeter of 22 units.

4 0
2 years ago
Please helpppppp tysm Have a wonderful day.
pav-90 [236]

Answer:

418.4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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