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FinnZ [79.3K]
3 years ago
7

Need help with this angle don't know what to do with the x

Mathematics
1 answer:
vichka [17]3 years ago
4 0
Hello!

Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:

x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees  or exactly 51.5 degrees

I hope this helps :))
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Use the definition of the derivative to differentiate v=4/2 pie r^3
nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)

\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

3 0
2 years ago
Help me I really need to get this done
posledela

Answer:

It’s the second one

Step-by-step explanation:

6 0
2 years ago
Can i please get the answer to number 6 ?
IrinaVladis [17]
A full circle in radians is 2π, and in degrees it's 360°. I want to convert the 72° to radians:

72° in radians = 72/360 * 2π = 2/5π

The circumference of a full circle is the number of radians times the radius. (ie., 2πr), so the JK part of the circle is:

5* 2/5π simplifies to 2π
6 0
3 years ago
Please help me please
gizmo_the_mogwai [7]

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390

3 0
2 years ago
3.452 × 100 =-------------
Lilit [14]

Answer:

345.2

Step-by-step explanation:

1: Move 3.452 to the end of the equation

(3.452 × 100) -> (3.452 × 100 = 3.452)

2: Since 100 has 2 zeros, move the decimal point 2 places to the right.

(3.452 × 100 = 3.452) -> (345.2)

Hope this helps!

7 0
3 years ago
Read 2 more answers
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