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Mathematics

2 answers:

tino4ka555 [31]2 years ago

4 0

Answer:

what do u need help with?

Alex_Xolod [135]2 years ago

3 0

I think the answer is

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The sum of three consecutive even integers is 36. Let x represent the least consecutive integer.

lubasha [3.4K]

The integers are x, x + 2 and x + 4

x + x + 2 + x + 4 = 36
3x + 6 = 72
3x = 36 - 6 = 30
x = 30/3 = 10

The least numbers is 10
Therefore, the numbers are 10, 12 and 14

4 0

2 years ago

Simplify the expression. Show your work. 22 + (32 – 4 2 )

Alex Ar [27]

You have to use PEMDAS:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

First, do parentheses.

32 - 42 = -10

22 + -10 = 12

Answer = 12

Hope this helped
Have a great day :)

8 0

2 years ago

Three charges are arranged in an equilateral triangle with sides of 4 cm. The coordinates and corresponding charge values are as

lisov135 [29]

To determine the answer of Part A draw the equilateral triangle and the to determine the coordinates of of the third charge use that triangle.
To calculate the gravitational field strength in part B from each of the charges use the following equation.

E=kcq/r2

If you would add those values then you can use the symmetry about the y axis to make the vector addition a litter easier.<span />

6 0

2 years ago

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .