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3 years ago

I don't get this problem

Mathematics

1 answer:

Maslowich3 years ago

4 0

Just assuming - A = 20, B = 120, and C = 40
F = 30, G = 75, and H = 75

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Solve the inequality.

marysya [2.9K]

Answer:

$\huge x > \frac{7}{3} \\$

Step-by-step explanation:

$8( \frac{1}{2} x - \frac{1}{4} ) > 12 - 2x \\$

Expand the terms in the bracket

That's

$8( \frac{1}{2} x) - 8( \frac{1}{4} ) > 12 - 2x \\ 4x - 2 > 12 - 2x$

Move -2x to the other side of the inequality

$4x + 2x - 2 > 12 \\ 6x - 2 > 12$

Move - 2 to the other side of the inequality

$6x > 12 + 2 \\ 6x > 14$

Divide both sides by 6

$\frac{6x}{6} > \frac{14}{6} \\$

We have the final answer as

$x > \frac{7}{3} \\$

Hope this helps you

5 0

3 years ago

One property of parallelograms not shown in the interactive is that the opposite sides are parallel. Given a parallelogram, how

neonofarm [45]

The opposite sides can be proven parallel to each other if the lines would not intersect each other if the lines were much longer. It should also have the same straight horizontal measurement of distance in between the space. Measurement of parallel lines in a parallelogram can be determined using the slope formula.

8 0

3 years ago

A board is cut so that its length is changed from 8 feet to 6.5 feet. What is the percent of change in length? Round your answer

Schach [20]

it went from 8 to 6.5, namely 8 - 6.5 = 1.5.

if we take the 8 to be the 100%, what is 1.5 off of it in percentage?

$\bf \begin{array}{ccll}amount&\%\\\cline{1-2}8&100\\1.5&x\end{array}\implies \cfrac{8}{1.5}=\cfrac{100}{x}\implies x=\cfrac{1.5\cdot 100}{8}\implies x=18.75$

well, we can round that up to 18.8%, however since it's a subtraction from the board, we can say is -18.8%, a negative percent, because is a percent that was taken out of it.

3 0

3 years ago

Round 202.366 to the nearest hundredth

GuDViN [60]

Hello there,

202.366 to the nearest hundredth would be 202.37.

So what I did was I look at the 366 in the problem.

We want to round the to the nearest hundredth.

So what we would do it notice how the 66 in over 50.

The rule is if it's over 50, we round it to the nearest.

So your answer would be 202.37.

Hope this helps.

~Jurgen

3 0

3 years ago

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

3 years ago