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tiny-mole [99]
3 years ago
12

Which graph could represent a constant blalance in a bank account?

Mathematics
2 answers:
Crank3 years ago
8 0

Answer:

the third graph

Step-by-step explanation:

Natalka [10]3 years ago
4 0
<h2>Answer:</h2>

The third graph ( i.e. a horizontal line  ) represents  a constant balance in a bank account.

<h2>Step-by-step explanation:</h2>

Constant balance in a bank amount means that the amount of balance in the account is same over different time period.

i.e. it did not increase or decrease over a period of time.

Hence, the graph of such a situation is a horizontal line parallel to the axis labeled as Time period.

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The sum of seven interior angle measurements is an octagon equal 835°. What is the angle measurement of the eighth angle?
creativ13 [48]

\bf \textit{sum of all interior angles in a polygon}\\\\ S=180(n-2)~~ \begin{cases} n=\textit{number of sides}\\[-0.5em] \hrulefill\\ n=8 \end{cases}\implies S=180(8-2) \\\\\\ S=180(6)\implies S=1080

now, we know 7 of those angles are already 835°, so the last one must be 1080 - 835 = 245°.

4 0
3 years ago
If sin(x) = 0.28, what is cos(90° - x)
vlabodo [156]
\bf \textit{Cofunction Identities}&#10;\\\\&#10;sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)&#10;\qquad &#10;cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)&#10;\\\\\\&#10;tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad &#10;cot\left(\frac{\pi}{2}-\theta\right)=tan(\theta)&#10;\\\\\\&#10;sec\left(\frac{\pi}{2}-\theta\right)=csc(\theta)\qquad &#10;csc\left(\frac{\pi}{2}-\theta\right)=sec(\theta)

therefore, sin(x) = cos(90° - x).
5 0
3 years ago
You have one cubic mile of water. you release it at 1000 gallons per
Tatiana [17]

It will take 764664.6875 days to empty the water

<h3>How to determine the time to empty?</h3>

The given parameters are:

  • Volume = 1 cubic mile
  • Rate = 1000 gallons per minutes

The time is calculated as:

Time = Volume/Rate

So, we have:

Time = 1 cubic mile ÷ 1000 gallons per minute

Convert gallons to cubic mile

Time = 1 cubic mile ÷ (9.0817e-13 * 1000) cubic mile per minute

Divide

Time = 1.10111715 × 10^9 minute

Convert to days

Time = 764664.6875 days

Hence, it will take 764664.6875 days to empty the water

Read more about volumes at:

brainly.com/question/1972490

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7 0
2 years ago
line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while
Tasya [4]

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

<h3>What is Tahila's mistake?</h3>

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5  =  a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

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4 0
2 years ago
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm
klemol [59]

Answer:

x^2-10x+18=0

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

20=2(x + w)

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

10=x+w

And solve for <em>w:</em>

<em />w=10-x<em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

a^2+b^2=c^2

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em />x^2+w^2=8^2<em />

Simplify and substitute:

x^2+(10-x)^2=64

Square:

x^2+(100-20x+x^2)=64

Isolate the equation. So:

2x^2-20x+36=0

Since the leading coefficient is one, divide both sides by two:

x^2-10x+18=0

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

6 0
2 years ago
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