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IRINA_888 [86]
3 years ago
15

Help!! please! i will give brainliest

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:  (a) sometimes, (b) true, (c) 6 ft

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

You need to understand the difference between Whole, Integers, Rationals, and Irrationals in order to answer the question.

<u>Whole numbers</u> are Natural numbers plus 0:

0, 1, 2, 3, 4, ...      <em>notice that these are all positive numbers</em>

<u>Integers</u> are Whole numbers plus their opposites:

... -3, -2, -1, 0, 1, 2, 3, ...          <em>notice that positive numbers are included</em>

<u>Rationals</u> are integers but also include fractions whose decimal equivalent either repeats or terminates:

... -2, ..., -1\dfrac{1}{2}, ..., -1\dfrac{1}{3}, ... -1, ..., 0, ..., 1, ..., 1\dfrac{1}{3}, ..., 1\dfrac{1}{2}, ..., 2, ... <em>notice that positive numbers are included</em>

<u>Irrationals</u> are numbers whose decimal equivalent does not repeat or terminate:

..., -\sqrt3, -\sqrt2, ..., \sqrt2, \sqrt3, ...     <em>notice that positive numbers are included</em>

a) If a number is positive, then it is a Whole, Integer, and Rational.

Sometimes because it could also be an Irrational.

b) If a number is a perfect square, then it is a Whole, Integer, and Rational.

True because an irrational number cannot be a perfect square.

c) What is the length of a square whose Area is 36 ft².

Area = side squared   -->   A = s²   -->   36 ft² = s²    -->  6 ft = s

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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
Bessie has an annual salary of $51,360. Each month she has a car payment of $210 and a student loan of$50. If she applies for a
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Every month she makes 4280 usd. $51,360/12 months...she pays her debt ($260) a month.....she will be approved. 1:16 Ratio
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Kelly has a cherry tree in her yard. Currently the tree is 9 feet tall. That is 80% taller than it
lukranit [14]

Answer:

80 percent of 9 is 4/5th of 9, which is 36/5 or 7.2

Hope this helped and brainliest please

6 0
2 years ago
What is 1600+3200 pls
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1600+3200 = 4800

Answer: 4800

7 0
3 years ago
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ
Deffense [45]

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

6 0
3 years ago
Read 2 more answers
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