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2 years ago

-7.832198653 . . . is: rational irrational

Mathematics

2 answers:

Minchanka [31]2 years ago

5 0

It is a irrational number

olga2289 [7]2 years ago

3 0

Definitely irrational because the decimal never repeat

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Lastima Nelson, Inc. is recruiting a new Chief Financial Officer (CFO). The recruiting budget is $44,000. Lastima has spent $10,

Musya8 [376]

The budget is $44000

Total spent so far is $10000 + $8500 = $18500

The amount left to spend = 44000 - 18500 = $25500

$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget

Let the maximum price of the home be $x$
This value of $x$ will be the 100% before the 6% commission is calculated of it.

6% of $x$ is 25500
1% of $x$ is 25500 ÷ 6 = $4250
100% of $x$ is 4250 × 100 = $425,000

So, the maximum value of the home is $425,000

5 0

3 years ago

XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3

nataly862011 [7]

<h2>Answer:</h2>

4π

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

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = $\frac{1}{2}$ x b x h -------------(i)

Where;

A = 18 $\sqrt{3}$

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18 $\sqrt{3}$ = $\frac{1}{2}$ x b x 6

18 $\sqrt{3}$ = 3b

<em>Divide through by 3</em>

6 $\sqrt{3}$ = b

Therefore, b = XZ = 6 $\sqrt{3}$

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180° [sum of angles in a triangle]

=> XOZ + 30° + 30° = 180°

=> XOZ + 60° = 180°

=> XOZ = 180° - 60°

=> XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

$\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}$

$\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}$

$\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}$

$\frac{1}{12} = \frac{1}{2|OZ|}$

$\frac{1}{6} = \frac{1}{|OZ|}$

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0

2 years ago

Jaquanda wants to purchase a side-by-side condo and needs to borrow $150000 with a 30-year fixed loan with an APR of 8.0. The co

Marianna [84]

oh no noooooooooooooooooooooooooooooooooooooooooooo

6 0

2 years ago

The table shows how the time it takes a train to travel between two cities depends on its average speed.

Ivahew [28]

Answer:

$y=\frac{160}{x}$

Step-by-step explanation:

The table shows how the time it takes a train to travel between two cities depends on its average speed.

function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour

y represents the time

and x represents the average speed

WE know distance = speed * times

LEts find the distance using the table

distance = 32* 5= 160

40*4= 160

50*3.2 = 160

Time = distance / speed

times is y , distance is 160 and speed is x

$y=\frac{160}{x}$

6 0

2 years ago

Read 2 more answers

What is the value of "x" in this image?

Anarel [89]

Answer: 9 $\sqrt{2}$ is the value of "x".

7 0

2 years ago