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n200080 [17]
3 years ago
7

SOMEONE PLZ GELP WITH NUMBER ONE.

Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

900

Step-by-step explanation:

Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.

total measure of the starred angles = 4 * 360 - 180

total measure = 900 degrees

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F(x) = 4^x-1; find f(3)​
charle [14.2K]

Answer:

f(3) = 63

Step-by-step explanation:

f(x) = 4^x-1;

Let x =3

f(3) = 4^3 -1

     = 64-1

     =63

6 0
3 years ago
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A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
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choli [55]

Answer:

Step-by-step explanation:

2/9x+3>4 5/9

Subtract

2/9x>7 5/9

Divide by 2/9

x>34

As none of the number lines represent this data, the question was written incorrectly, or there is more information.

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3 years ago
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Which is the product of (3)(7) and why?
irina [24]

Answer:

21

Step-by-step explanation:

8 0
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When can u add and subtract fractions
adelina 88 [10]

Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers. Rewrite the fractions as equivalent fractions with the LCM as the denominator.

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