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Bess [88]
3 years ago
10

Evaluate the formula V=B h over 3 for B=15 inches two squared and h=28inches?I WILL MARK AS BRAINLY

Mathematics
1 answer:
meriva3 years ago
4 0
V=B/14-28...........
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Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections
svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is  

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

= \pi \times(sinx-cosx)^{2}

= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]

= \pi[1-2sin(x)cos(x)]

= \pi[1-sin(2x)]

Now,

Integrate from x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}, we get volume:

V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx

After integrate without limit we get

V=\pi[x+\frac{cos2x}{2}]

Now after putting the limit, we get

 V = π²

Hence, the required volume of the solid = π²

3 0
3 years ago
Please I really need help with this
Delvig [45]

Answer:

Step-by-step explanation:

㏒ 3+㏒(x+2)=1

㏒3(x+2)=1

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so A

3.

log_{2}x+log_{2}(x+2)=3\\or~log_{2}[x(x+2)]=3\\x(x+2)=2^3\\x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x+4)(x-2)=0\\x=2,-4\\x=-4 ~is~an~extraneous~solution.\\B

6 0
3 years ago
I need help with this without links
schepotkina [342]

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

6 0
2 years ago
The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k? A -7
Nadya [2.5K]

Answer:

{\boxed{\text{A. }\math{k = -7}}

Step-by-step explanation:

The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k .

A positive value of k means that the graph is shifted up by k units.

The graph of ƒ(x) was shifted from (0, 1) to (0, -6).

\text{The graph was shifted down by seven units, so }{\boxed{\mathbf{k = -7}}

4 0
4 years ago
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What are the solutions of the following equation?
noname [10]

Answer:

D. x = 7 and x = 14

Step-by-step explanation:

this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0

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