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neonofarm [45]
3 years ago
15

Find the area of the shape. 7 m 5 m 15 m 4 m

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
Sorry, idk I just need to answer 1 question to keep asking for more
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Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did sh
LenaWriter [7]

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

\frac{15}{100}=0.15

Now, take the total amount of the sales and multiply it by this decimal.

59,500*0.15=8925

5 0
3 years ago
Evaluate c (y + 7 sin(x)) dx + (z2 + 9 cos(y)) dy + x3 dz where c is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (hin
saw5 [17]
Treat \mathcal C as the boundary of the region \mathcal S, where \mathcal S is the part of the surface z=2xy bounded by \mathcal C. We write

\displaystyle\int_{\mathcal C}(y+7\sin x)\,\mathrm dx+(z^2+9\cos y)\,\mathrm dy+x^3\,\mathrm dz=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r

with \mathbf f=(y+7\sin x,z^2+9\cos y,x^3).

By Stoke's theorem, the line integral is equivalent to the surface integral over \mathcal S of the curl of \mathbf f. We have


\nabla\times\mathbf f=(-2z,-3x^2,-1)

so the line integral is equivalent to

\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\mathrm d\mathbf S
=\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv


where \mathbf s(u,v) is a vector-valued function that parameterizes \mathcal S. In this case, we can take

\mathbf s(u,v)=(u\cos v,u\sin v,2u^2\cos v\sin v)=(u\cos v,u\sin v,u^2\sin2v)

with 0\le u\le1 and 0\le v\le2\pi. Then

\mathrm d\mathbf S=\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv=(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv

and the integral becomes

\displaystyle\iint_{\mathcal S}(-2u^2\sin2v,-3u^2\cos^2v,-1)\cdot(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv
=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}u-6u^4\sin^3v-4u^4\cos v\sin2v\,\mathrm du\,\mathrm dv=\pi<span />
4 0
3 years ago
Sarah and Joe are seeking to join a gym. Sarah saw on television that Great Gym is offering membership at $19.50 per month, plus
xenn [34]
Sarah because if you add up the one time registration fee and the amount per month for one month it would be less than Joe's
8 0
3 years ago
Read 2 more answers
Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9
Marina86 [1]

Answer:

0.7 and 0.8

Step-by-step explanation:

First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.

6 0
3 years ago
We either walk 5 miles/day or ride a bike 10 miles/day. How many days will it take to cover a distance of at least 150 miles?
g100num [7]

Answer:

30 for walking, 15 for biking

Step-by-step explanation:

150 divided by 5

150 divided by 10

5 0
3 years ago
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