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3 years ago

11

If x+y=10 and x-y=6 , what is the value of x³-y³

1 answer:

ohaa [14]3 years ago

6 0

Answer:

$\huge\boxed{x^3-y^3=508}$

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504$

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Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

3 years ago

Can somebody please help me with this question??<br>10=10(k-9)

SashulF [63]

K = 10

I think. I’m not positive sure though. Hope this helped!

4 0

3 years ago

Read 2 more answers

. A trader bought A TV set for Birr 2000 and sold it at loss of 11/2% what:was the selling price?

olga nikolaevna [1]

Answer:

1890

Step-by-step explanation:

Loss = 11/2 % = 5.5 %

Cost price = 2000

Loss = 5.5% of cost price

= 5.5% * 2000

$= \frac{5.5}{100}*2000\\\\= 5.5*20\\= 110$

Selling price = Cost price - loss

= 2000 - 110

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3 years ago

A rectangular prism of volume 3200 mm has a rectangular base of 10 mm and width 8 mm. Find the height h of the prism

Orlov [11]

Answer:

40 mm

Step-by-step explanation:

The rectangular prism of a rectangular box. The volume is given by the formula:

<u>Volume of Rectangular Prism</u> = length * width * height

Given Volume = 3200

Length = 10

Width = 8

We need to find height. So we plug in the given information and find the height, in mm. Shown below:

Volume = Length * Width * Height

3200 = 10 * 8 * Height

3200 = 80 * Height

Height = 3200/80

Height = 40 mm

The height (h) = 40 mm

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at current prices, roberta can drive her car 8.2 miles per dollar of gasoline that she buys. Roberta and three of her friends de

Gekata [30.6K]

Answer:

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3 years ago