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3 years ago

(-3/4) divided by (-3/5).1 1/7

1 answer:

6 0

Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
55
28
55
28
Decimal Form:
1.96428571
…
1.96428571
…
Mixed Number Form:
1
27
28

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two angles in a triangle mesaure 65 degrees and 75 degrees what is the measure of the third angle of the triangle

podryga [215]

Answer:

40°

Step-by-step explanation:

The interior sum of a triangle is 180°. Since we have two known angles we will subtract those values from 180 to obtain our third angle and so:

180°-65°-75°=40°

8 0

3 years ago

Mr. Diaz wants to put a fence around his rectangular-shaped yard. The width of the yard is 65 feet. The length is 122 feet. How

Luden [163]

Answer:

374 feet of fencing

Step-by-step explanation:

2 x 122 + 2 x 65=374

6 0

3 years ago

Read 2 more answers

You have 350 fish and each tank holds 22 fish. how many tanks are needed to hold all the fish

Feliz [49]

350/22 =15.91 rounded 16

7 0

3 years ago

Marcus needs 108 inches of wood to make a frame. How many feet of wood does Marcus need for the frame?

8_murik_8 [283]

Basically, you are just simply converting inches to feet.
So we need to convert 108 inches to x feet.
12 inches = 1 foot
So, if 12 inches equals 1 foot, just divide 108 by 12 to get the number of feet.
108÷12≈9
So, 108 inches equals your answer of 9 feet.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Hope this helped :)

3 0

3 years ago

Compute the differential of surface area for the surface S described by the given parametrization.

AysviL [449]

With $S$ parameterized by

$\vec r(u,v)=\langle e^u\cos v,e^u\sin v,uv\rangle$

the surface element $\mathrm dS$ is

$\mathrm dS=\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

We have

$\dfrac{\partial\vec r}{\partial u}=\langle e^u\cos v,e^u\sin v,v\rangle$

$\dfrac{\partial\vec r}{\partial v}=\langle -e^u\sin v,e^u\cos v,u\rangle$

with cross product

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\langle ue^u\sin v-ve^u\cos v,-ve^u\sin v-ue^u\cos v,e^{2u}\cos^2v+e^{2u}\sin^2v\rangle$

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\langle e^u(u\sin v-v\cos v),-e^u(v\sin v+u\cos v),e^{2u}\rangle$

with magnitude

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{e^{2u}(u\sin v-v\cos v)^2+e^{2u}(v\sin v+u\cos v)^2+e^{4u}}$

$\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=e^u\sqrt{u^2+v^2+e^{2u}}$

So we have

$\mathrm dS=\boxed{e^u\sqrt{u^2+v^2+e^{2u}}\,\mathrm du\,\mathrm dv}$

8 0

3 years ago