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2 years ago

Help please! See attached picture x= ___ m

Mathematics

1 answer:

arlik [135]2 years ago

4 0

Answer:

The answer is 42.9

Step-by-step explanation:

$\frac{35.2}{67.2} = \frac{x}{81.9} \\ x = \frac{35.2 \times 81.9}{67.2 } \\ x = 42.9$

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Solve the system of equations

insens350 [35]

Answer:

x = 3, y = 1 is the solution of the given system.

Step-by-step explanation:

Here, the given system of equations is:

y = -x + 4 ...... (1)

y = x - 2 .......... (2)

Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,

y = x - 2 ⇒ -x + 4 = x - 2 ( as from (1), y = -x + 4)

or, -x -x = -2 -4

or, - 2 x = -6 ⇒ x = 6/2 = 3

or, x = 3

⇒ y = x - 2 = 3 - 2 = 1

⇒ y = 1

Hence, x = 3, y = 1 is the solution of the given system.

5 0

3 years ago

Simplify the following 3√28-5√63+4√112

alexandr402 [8]

7√7

using the ' rule of radicals '

• √a × √b ⇔ √ab

simplifying the radicals

√28 = √(4 × 7 ) = √4 × √7 = 2√7

√63 = √(9 × 7) =√9 × √7 = 3√7

√112 = √(16 × 7 ) = √16 × √7 = 4√7

substituting into the expression

3(2√7) - 5(3√7) + 4(4√7) = 6√7 - 15√7 + 16√7 = 7√7

7 0

3 years ago

Read 2 more answers

What is the trigonometric ratio for sin Z ?

Schach [20]

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

$\sin(Z) = \dfrac{XY}{XZ}$

In order to find XY, we have

$XY = \sqrt{XZ^2-YZ^2} = \sqrt{1600-1024}=\sqrt{576} = 24$

So, the ratio for the sine is

$\sin(Z) = \dfrac{XY}{XZ} = \dfrac{24}{40} = \dfrac{3}{5}$

6 0

2 years ago

Solve for X<br><br> 8^3x-10 =4^6x-27<br><br> Thanks in advance!

dlinn [17]

$8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}$

6 0

3 years ago

Explain how you would graph the line y = 2/3x + 3 using its slope and y-intercept.

Ivahew [28]

Answer:

Slope = 2/3 Y intercept +3

Step-by-step explanation:

Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.

Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.

The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).

Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.

5 0

3 years ago

Read 2 more answers

Help please! See attached picture x= ___ m​

Help please! See attached picture x= ___ m