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NISA [10]
3 years ago
11

As low tide came in, the ocean dropped by a rate of 12 inches every 3 minutes. Write a rational # describing this rate.

Mathematics
1 answer:
RSB [31]3 years ago
8 0

You can write every speed as the ratio between the space and time, so in this case you have

\dfrac{12\text{ inches}}{3\text{ minutes}} = 4\ \dfrac{\text{inches}}{\text{minute}}

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Find the perimeter of the stained-glass window if each small square is 6 in. on<br> a side.
mel-nik [20]

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2 years ago
What is the solution to this?
Ahat [919]

Answer:

\frac{5}{4}x^{4} + sinx + c

Step-by-step explanation:

using the power rule

∫(ax^{n}) = \frac{a}{n+1}x^{n+1} and ∫cosx = sinx

∫(5x³ + 2cosx )dx

= \frac{5}{4}x^{4} + 2sinx + c ( c is the constant of integration )


7 0
3 years ago
Multiply Conjugates Using the Product of Conjugates Pattern
SpyIntel [72]

Answer:

The product is the difference of squares is $$\left(11-b\right)\left(11+b\right)=121-{{b}^2}$$

Step-by-step explanation:

Explanation

  • The given expression is (11-b)(11+b).
  • We have to multiply the given expression.
  • Square the first term 11. Square the last term b.

$$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$$

5 0
2 years ago
An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
tino4ka555 [31]

Answer:

The height of the triangle is 5.2 inches

Step-by-step explanation:

we know that

An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure

Remember that an equilateral triangle has three equal sides and three equal interior angles

so

An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees

Let

h ----> the height of triangle

b ---> the length side of the triangle

Applying Pythagoras Theorem

h^2=b^2-(b/2)^2

we have

b=6\ in

substitute

h^2=6^2-(6/2)^2

h^2=36-9

h^2=27

h=\sqrt{27}\ in

h=5.2\ in

see the attached figure to better understand the problem

5 0
3 years ago
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