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kap26 [50]
3 years ago
5

When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side befor

e the increase.
The length of a side before the increase is...
Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: (s+5)^2=s^2+10s+25

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

s^2+10s+25=s^2+895 and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

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Consider the following.
san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k   or    x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

  • x = -3pi
  • x = -pi
  • x = pi
  • x = 3pi
  • x = 5pi

and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).

3 0
3 years ago
Factor the following binomail:<br><br> (2x^4 - 12x^7)
Ann [662]
Hopes this helps:

Answer: 2x^4(1-6x^3)
5 0
2 years ago
A baker made two cakes of the same size. • At the end of the day, there was 23 of a chocolate cake left. • There was 56 of a str
Murrr4er [49]
This is the concept of algebra, To solve the question  we proceed as follows;
Number of chocolate cake left=23 
The number of pieces that was left after the cake was divided into 2 equal pieces will be:
23*2
=46

Number of strawberry cake left = 56
The number of pieces that was left after the cake was divided into 3 equal pieces will be:
56*3
=168

Comparing the two fraction, the flavor that had larger pieces was strawberry cake;
This cake was larger compared to chocolate by:
168-46
=122
The answer is Strawberry by 122 of a cake
5 0
3 years ago
PLEASE HELP. ILL PICK BRAINIEST ANSWER
klasskru [66]

The graph shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet

Part A: What do the x-intercepts of the graph represent?

The x intercept means value of x when h(x)=0. That is, the x-intercept signify the distance from kicker when height h(x) =0. The x intercept is (0,0) and (16,0).

So, when the kicker is at a distance of 0 feet or 16 feet, height h(x)=0 feet.

What does maximum value of the graph represent?

The maximum value of the graph signify maximum height the soccer ball can achieve. The maximum height the graph has is at (8,10). That is, when kicker is at a distance of 8 feet from the ball, the ball attains a maximum height of 10 feet.

What are the intervals where the function is increasing and decreasing, and what do they represent about distance and height?

The increasing interval is (-∞,8]. That is, the height of the ball increases when kicker is increasing as the distance increases from -∞ to 8. But, the height keeps on decreasing from 8 to ∞. As, x, distance increases from 8, the height decreases, Hence, decreasing interval [8,∞)

Part B: What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent?

average rate of change=\frac{f(x2)-f(x1)}{x2-x1}

where x2=13 and x1=8. That is, the interval in which we are looking for average rate of change

f(x2)=f(13)=5

f(x1)=f(8)=10

average rate of change =\frac{5-10}{13-8}

=\frac{-5}{5}

=-1

average rate of change =-1.

This rate signify that height decreases by 1 feet as distance of the skipper increases by 1 feet (when distance, x is between 8 and 13)

7 0
3 years ago
Please help me with this...
Klio2033 [76]

     The answer is :

24 ml oil

60 g onions

0.36 kg potatoes

0.4 l milk

All you have to do is divide everything by 4.

6 0
3 years ago
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