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matrenka [14]
3 years ago
6

5. A man sells his house for

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

<h2><em>$</em><em>2</em><em>5</em><em>0</em><em>0</em><em>0</em><em>0</em></h2>

<em>Solution</em>

<em>Selling </em><em>price(</em><em>SP)</em><em>=</em><em>$</em><em>2</em><em>9</em><em>5</em><em>0</em><em>0</em><em>0</em>

<em>profit</em><em> </em><em>percent=</em><em>1</em><em>8</em><em>%</em>

<em>Cost </em><em>price(</em><em>CP)</em><em>=</em><em>?</em>

<em>Now,</em>

<em>cp =  \frac{sp \times 100}{100 + profit \: percent}  \\  \:  \:  \:  \:  =  \frac{295000  \times 100}{100 + 18}  \\  =  \frac{29500000}{118}  \\  = 250000</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

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How to use the Pythagorean theorem to provee if a triangle with the side lengths 7,14,28 is a right triangle. Plz help
Lapatulllka [165]

Answer: find the answer in the explanation.

Step-by-step explanation:

To use the Pythagorean theorem to prove if a triangle with the side lengths 7,14,28 is a right triangle, you will square 7 and add it to the square of 14. The square root of the sum will be equal to 28 if it is a right angle triangle. Otherwise, it is not.

(7^2 + 14^2) = 49 + 196

245

Find the square root of 245

Square root = 15.65

Since it is not 24, the triangle is not a right angle triangle.

8 0
4 years ago
Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola.
Kisachek [45]
If he uses 1\6 cup for every bowl and 1\2 is the same thing as 3\6 he can make three bowls of granola.
8 0
3 years ago
Create an equation that matches this table
Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0
3 years ago
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi
True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference (s), in centimeters, and the surface area (A_{s}), in square centimeters, of a sphere are represented by following formulas:

A_{s} = 4\pi\cdot r^{2} (1)

s = 2\pi\cdot r (2)

Where r is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}

A_{s} = \frac{s^{2}}{\pi^{2}} (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area (\Delta A_{s}), in square centimeters:

\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s

\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}} (4)

Where:

s - Measure circumference, in centimeters.

\Delta s - Possible error in circumference, in centimeters.

If we know that s = 82\,cm and \Delta s = 0.5\,cm, then the maximum error is:

\Delta A_{s} \approx 8.3083\,cm^{2}

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

6 0
3 years ago
Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11
a_sh-v [17]

Answer:

<h2>cosecθ = 1/sinθ = 11/6√2</h2>

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

hyp^{2} = adj^{2}  + opp ^{2}  \\opp = \sqrt{hyp^{2} - adj^{2}  } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ\neq 1/cosθ but cscθ = 1/sinθ

6 0
3 years ago
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