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Fofino [41]
3 years ago
12

Which rational number represents a decrease in water level from 8 feet to 6 feet?

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

C

Step-by-step explanation:

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HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
azamat
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5 0
3 years ago
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I NEED HELP WITH THIS PROBLEM
allochka39001 [22]
In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long

2(5x+2) = 3x + 32
10x + 4 = 3x + 32
10x - 3x = 32 - 4
7x = 28
x = 28/7
x = 4

The length of the midsegment = 5x+2 = 5·4 + 2 = 22
3 0
3 years ago
Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) t
pashok25 [27]

Direct computation:

Parameterize the top part of the circle x^2+y^2=1 by

\vec r(t)=(x(t),y(t))=(\cos t,\sin t)

with 0\le t\le\pi, and the line segment by

\vec s(t)=(1-t)(-1,0)+t(2,-\pi)=(3t-1,-\pi t)

with 0\le t\le1. Then

\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)

=\displaystyle\int_0^\pi(-\sin t\sin(\cos t)+\cos t\cos(\sin t)\,\mathrm dt+\int_0^1(3\sin(3t-1)-\pi\cos(-\pi t))\,\mathrm dt

=0+(\cos1-\cos2)=\boxed{\cos1-\cos2}

Using the fundamental theorem of calculus:

The integral can be written as

\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=\int_C\underbrace{(\sin x,\cos y)}_{\vec F}\cdot\underbrace{(\mathrm dx,\mathrm dy)}_{\vec r}

If there happens to be a scalar function f such that \vec F=\nabla f, then \vec F is conservative and the integral is path-independent, so we only need to worry about the value of f at the path's endpoints.

This requires

\dfrac{\partial f}{\partial x}=\sin x\implies f(x,y)=-\cos x+g(y)

\dfrac{\partial f}{\partial y}=\cos y=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\sin y+C

So we have

f(x,y)=-\cos x+\sin y+C

which means \vec F is indeed conservative. By the fundamental theorem, we have

\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=f(2,-\pi)-f(1,0)=-\cos2-(-\cos1)=\boxed{\cos1-\cos2}

3 0
3 years ago
Can I have help with this one asap?
sasho [114]

Answer:

In Δ CFD , CD is the LONGEST side.

Step-by-step explanation:

Here, the given Δ CSD is a RIGHT ANGLED TRIANGLE.  

Now, as we know in a right triangle, HYPOTENUSE IS THE LONGEST SIDE.

So, in Δ CSD  SD is the longest side as SD = Hypotenuse.

Now, an altitude CF is drawn to hypotenuse SD.

⇒ CF ⊥ SD

⇒ Δ CFD is a RIGHT ANGLED TRIANGLE with  ∠ F = 90°

and CD as a hypotenuse.

⇒ In Δ CFD , CD is the LONGEST side.

Hence, CD is the longest side in the given triangle CFD.

6 0
3 years ago
Solve the proportion for the variable given <br> 4/6=9/x<br> a.10<br> b.6<br> c.1<br> d. 27/2
e-lub [12.9K]

Step-by-step explanation:

Option D is the correct answer because we will cross multiply

4/6 = 9/x

4x = 54

X = 27/2

5 0
3 years ago
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