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4 years ago

What is the value of c? units?

Mathematics

2 answers:

ehidna [41]4 years ago

6 0

You may recognize that ∆WYZ is a 3-4-5 right triangle. Without any work, then
c = 5

_____
If you don't remember that a right triangle with legs 3 and 4 has a hypotenuse of 5, you can compute it using the Pythagorean theorem.
c² = 3² + 4²
c² = 9 + 16 = 25
c = √25 = 5

yuradex [85]4 years ago

5 0

We can use the Pythagorean theorem to find c. This theorem says that a^2 + b^2 = c^2 where a and b are the opposite and adjacent, and c is the hypotenuse. In this case 3 and 4 serve as a and b.

3^2 + 4^2 = c^2 9 + 16 = c^2 25 = c^2 sqrt(25) = c5 = c So c is 5 units.

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Evaluate,

kirill [66]

With 10 to the power to a negative number, it's easier.
Here's a trick: The negative number is the places to the right of the decimal. The last number is a 1, while the rest are 0s.

From this, we get: $10^{-4}=\boxed{0.0001}$

5 0

3 years ago

Read 2 more answers

Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a p

Ivenika [448]

Answer:

As Bill's sales is £25400, which is greater than £25000, he achieved his target.

Step-by-step explanation:

Cost of each laptop = £400

lets calculate for 40 laptops first

Given, he sold 40 of these at 30% profit

30% of cost price = 30% of £400 = 30/100 * 400 = 120

Therefore, selling price of these laptops = £400 + £120 = £520

Total sales generated from selling 40 of these laptop = 40*£520

= £520 =£20,800

lets calculate for 10 laptops now

Given, he sold 10 of these at 15% profit

15% of cost price = 15% of £400 = 15/100 * 400 = 60

Therefore, selling price of these laptops = £400 + £60 = £460

Total sales generated from selling 10 of these laptop = 10*£460

= £4600

Total sales generated from selling all the 50 laptop =

Total sales generated from selling 40 of these laptop + Total, sales generated from selling 10 of these laptop = £20,800 + £4600 = £25,400

Target for Bill = £25000

As his sales is £25400, which is greater than £25000, he achieved his target.

6 0

3 years ago

Find the equation of the linear function represented by the table below in slope-

levacccp [35]

The picture attached has the table that repfesents the linear function to find the equation.

Answer:

y = 10x - 6

Explanation:

A linear function is characterized by a constant slope and a unique y-intercept.

Let m be the slope and b the y-intercept of a linear function. Then, slope-intercept equation has the form:

y = mx + b.

Using any two pair of points (x,y) from the table you can determine the values of m and b.

The table is:

x 0 1 2 3 4

y -6 4 14 24 34

You know that it is a linear function because for constant increases of the x-values (1 unit in the table) there is a constant increase of the y-values (10 in the table).

The slope, m, is calculated as:

m = [change in y] / [change in x] = Δy / Δx = [14 - 4] [2 - 1] = 10

As said, you could have used any two points to calculate m,

The y-intercept, b, is the value of the function, y, when x = 0.

From the table you can observe that when x = 0, the value of y is - 6; so b = - 6.

Thus, the equation of the linear function represented in the table in slope-intercept form is:

y = 10x - 6.

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3 years ago

Find the value of x in the equation 2√ x + 20 = 15 + 3√ x A. 16 B. –5 C. 25 D. 1

mr Goodwill [35]

The answer is C. 25

6 0

3 years ago

Read 2 more answers

The volume of a storage pod that is shaped like a cube is 1728 cubic feet what is the surface area of the storage pod?

Fittoniya [83]

Answer:

864

Step-by-step explanation:

since the volume is 1728, the cube root of 1728 is the length of each side, which is 12. to find surface area of a cube, we find the area of one face and multiply it by 6. 12*12*6 = 864.

3 0

3 years ago