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SVETLANKA909090 [29]
3 years ago
14

Hope someone help.me​

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

x = r sin θ cos Ф

x² = r² sin² θ cos² Ф

y = r sin θ sin Ф

y² = r² sin² θ sin² Ф

z = r cos θ

z² = r² cos²  θ

x² + y² + z²

= r² sin² θ cos² Ф  +  r² sin² θ sin² Ф +  r² cos²  θ

= r² sin² θ (cos² Ф + sin² Ф) +  r² cos²  θ

= r² sin² θ + r² cos²  θ

= r² (sin² θ + cos²  θ)

= r²       √

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Wiat number should be added to both sides of the equation to complete the square? X^2+x=11
Ivahew [28]

Answer:

add 1/4 to each side

Step-by-step explanation:

x^2+x=11

We take the coefficient of the x term

1

Then divide it by 2

1/2

Then square it

(1/2) ^2 = 1/4

Add this to both sides of the equation

x^2 + x + 1/4 = 11+1/4

(x+1/2)^2 = 11 1/4

7 0
3 years ago
Read 2 more answers
Patty has just completed her second semester in college. She earned a grade of B in her 4​-hour topology ​course, a grade of D i
umka21 [38]

Answer: 1.4

Step-by-step explanation:

To calculate the grade point average you have to sum all the points of each course multiplying the hours and then diveded by the total number of hours she did.

She earned a grade B in her 4 hour topology course, so she has 3*4 points.

In her 11 hour gouvernment course, she earned a grade D, so she has 1*11 points. In the 2 hour biology course she earned a grade D, so she has 1*2 points and in her 3 hours studio art course she had also a grade D, so she has 1*3 points

She has done 3+2+11+4 hours of subjects=20.

The total average is (3*4+1*11+1*2+1*3)/20=28/20=1.4

8 0
3 years ago
4x+20 3x<br> determine the value of x
nlexa [21]

Step-by-step explanation:

4x + 20 = 3x \\ x =  - 20

<h2>-20 is the right answer.</h2>
5 0
2 years ago
The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years
kompoz [17]

Answer:

The correct answer is "0.300993e^{-0.300993x}".

Step-by-step explanation:

According to the question,

⇒ P(x>4)=0.3

We know that,

⇒ P(X > x) = e^{(-\lambda\times x)}

⇒     e^{(-\lambda\times 4)} = 0.3

∵ \lambda = 0.300993

Now,

⇒ f(x) = \lambda e^{-\lambda x}

By putting the value, we get

           =0.300993e^{-0.300993x}

3 0
2 years ago
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
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