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ss7ja [257]
3 years ago
9

A triangle has interior angles equal to 55, 70 and x. What is the value of X?

Mathematics
1 answer:
podryga [215]3 years ago
8 0


The answer is C. 55

You get your answer by adding together the degrees of the angles you know 55+70

That equals 125 degrees and subtract that from 180 degrees

180-125= 55

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Let F⃗ =2(x+y)i⃗ +8sin(y)j⃗ .
Alik [6]

Answer:

-42

Step-by-step explanation:

The objective is to find the line integral of F around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.

We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.

We have that

           F(x,y) = 2(x+y)i + 8j \sin y = \langle 2(x+y), 8\sin y \rangle

Therefore,

                  P(x,y) = 2(x+y) \quad \wedge \quad Q(x,y) = 8\sin y

Let's calculate the needed partial derivatives.

                              P_y = \frac{\partial P}{\partial y} (x,y) = (2(x+y))'_y = 2\\Q_x =\frac{\partial Q}{\partial x} (x,y) = (8\sin y)'_x = 0

Thus,

                                    Q_x -P_y = 0 -2 = - 2

Now, by the Green's theorem, we have

\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA = \int \limits_{-3}^{4} \int \limits_{0}^{3} (-2)\,dy\, dx \\ \\\phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-2y) \Big|_{0}^{3} \; dx\\ \phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-6)\; dx = -6x  \Big|_{-3}^{4} = -42

4 0
3 years ago
GeomeTry, writing equations of parallel lines from graphs
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7 0
3 years ago
help me plz you'll get brainliest if u show work and the only way for u to help me is if u show your work so plz do
Usimov [2.4K]

Answer:

D.

Step-by-step explanation:

This will be D because the beaker already has 0.2 mL of water. If Jovita needs to add more water to the beaker, and<em> then </em>it is 0.8. In D, the diagram shows you 0.2 + x = 0.8, which makes it the right diagram.

Hope that helps!

5 0
2 years ago
Read 2 more answers
Choose an entree (steak, chicken, fish, or tofu), a side (mac &amp; cheese, green beans, french fries, or bread), and a drink (w
notka56 [123]
You have steak Mac water or steak mac water, etc etc...
4 0
3 years ago
A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a rate of 4 cm2/sec. Find the rat
lesya [120]

Answer:

The value of rate of which the base is changing \frac{dB}{dt} = - 3 \frac{cm}{s}

Step-by-step explanation:

Area = 20 cm^{2}

height = 4 cm

\frac{dH}{dt} = 2 \frac{cm}{sec}

\frac{dA}{dt} =  2 \ \frac{cm^{2} }{sec}

we know that area of the triangle is given by

A= \frac{1}{2} B H

B = \frac{2A}{H}

B = \frac{2 (20)}{4}

B = 10 cm

Rate of change of area is given by

\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]

4 =  0.5 [10 × 2 + 4 \frac{dB}{dt} ]

\frac{dB}{dt} = - 3 \frac{cm}{s}

This is the value of rate of which the base is changing.

7 0
3 years ago
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