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valentina_108 [34]
2 years ago
6

Find the volume of the sphere

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

Step-by-step explanation: You take the formula by doing 4×3.14× that number in the sphere, 2 times like for example, take 3 and multiple it 3×3, you take that answer and times it with that answer ^^^ 4×3.14×3 to the second power

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What is the value of x for which m || n?<br> x = 40<br> x = 5<br> x = 105<br> x = 30
QveST [7]

Answer:

(A) x=40

Step-by-step explanation:

Given: It is given that m is parallel to n.

To find: The value of x.

Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.

Thus, 105^{\circ}=3x-15^{\circ}

⇒105^{\circ}+15^{\circ}=3x

⇒120^{\circ}=3x

⇒\frac{120}{3}=x

⇒x=40

Thus, the value of x is 40, hence option A is correct.

4 0
3 years ago
Read 2 more answers
A principal of $950 is invested in an account at 7 percent simple interest per year. What is the amount of the principal after 5
Nataly_w [17]
\bf ~~~~~~ \textit{Simple Interest Earned Amount}&#10;\\\\&#10;A=P(1+rt)\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$950\\&#10;r=rate\to 7\%\to \frac{7}{100}\to &0.07\\&#10;t=years\to &5&#10;\end{cases}&#10;\\\\\\&#10;A=950(1+0.07\cdot 5)\implies A=950(1.35)\implies A=1282.5
3 0
3 years ago
Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
You will have 27 points if you can help me with this please!!!!
KatRina [158]

Answer:1: P 2: d 3:a

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify the answer as much as possible​
RSB [31]

Answer:

f(-5)=240

g(-7)=-33

Step-by-step explanation:

1) f(x)=3x^2 - 3x

f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240

2) g(x)=5x + 2

g(-7)= 5×(-7) + 2= -35+2=-33

6 0
3 years ago
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