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xxTIMURxx [149]
3 years ago
10

Jake says adding 0 to an addendum does not change a sum. Is he correct

Mathematics
1 answer:
siniylev [52]3 years ago
5 0
Nothing changes if you don't add anything. 

Example:

10+10=20
20+0=20
 
nothing changes.
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What does x equal if the circumference of a circle equals 113.04
Sveta_85 [38]
Circumference=2(pi)r or (pi)d
You know that Circumference=113.04
You know that the diameter=2x+4
Plug what you know into the equation and solve for x.
   C     =(pi)    d
113.04=(pi)(2x+4)
5 0
3 years ago
Evaluate the difference quotient for the given function.
kherson [118]

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}

or

\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

7 0
3 years ago
A trapezoid has an area of 329 square feet. If the bases are 30 feet and 17 feet, what is the height of the trapezoid in feet? F
ExtremeBDS [4]

Answer:

The correct option is C.  14 ft

Step-by-step explanation:

To calculate the height, we will follow the steps below;

Formula is given to be:  h = 2A / b1 +b2

where h = height of the trapezoid   b1 and b2 are the bases of the trapezoid    and A is the area of the trapezoid

From the question given;

Area A =329 feet²      b1 = 30 feet    b2 =17 feet  

We can now proceed to insert the values into the formula

h = 2A / b1 +b2

h= 2(329)  / 30 + 17

h = 658 /47

h=14 feet

6 0
3 years ago
The equation of a line is given by 4x-3y=12.How do you solve for x
maria [59]

Simplifying

4x + -3y = 12

Solving

4x + -3y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0

4x + 0 = 12 + 3y

4x = 12 + 3y

Divide each side by '4'.

x = 3 + 0.75y

Simplifying

x = 3 + 0.75y

5 0
3 years ago
Which describes how to find the solution to 3p < 14?
Sever21 [200]

Answer:

A. divide both sides by 3

Step-by-step explanation:

3p < 14

We want to isolate p, so we divide both sides by 3

3p/3 < 14/3

p <14/3

7 0
3 years ago
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