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sashaice [31]
4 years ago
7

Find the value of each variable.

Mathematics
2 answers:
avanturin [10]4 years ago
5 0
2x=76 so X=38
Y=104

Hope this helps
Semenov [28]4 years ago
5 0
2x = 76.....vertical angles are congruent
x = 76/2
x = 38 <===

y + 76 = 180 ....the angles make a line...a line = 180
y = 180 - 76
y = 104 <===
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Evaluate the line integral, where c is the given curve. c y3 ds,
postnew [5]
Parameterizing \mathcal C by

\mathbf r(t)=(t^3,t)

with 0\le t\le2, we have

\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt

So

\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt
=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt
=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du
=\dfrac{145^{3/2}-1}{54}
5 0
4 years ago
PLS HELP QUICK!
nikklg [1K]

Answer:

3 x 21

20 x 4 tenths

21 x thirteenth

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3 0
2 years ago
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
uranmaximum [27]

The answer is 2.1 Km. Hope this helps!

5 0
3 years ago
$10,000 is compounded semiannually at 12% interest for t years. what expression represents the amount of money after t years?
kari74 [83]
To solve this, you can do the is over of equals to % over hundred.
is         %
__ = ____
of      100
10,000      12
_____ = ____
    t           100
1,000,000=12t
                __    
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i hope this helps!
3 0
3 years ago
What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?
AnnZ [28]

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

7 0
3 years ago
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