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RoseWind [281]
3 years ago
13

Hey i really need help with this. thank you:))

Mathematics
1 answer:
balandron [24]3 years ago
7 0

Given:

L=2\dfrac{1}{2} ft and W=3\dfrac{2}{5} ft.

P=2L+2W

To find:

The value of P.

Solution:

We have,

P=2L+2W

Substituting L=2\dfrac{1}{2} and W=3\dfrac{2}{5}, we get

P=2\times 2\dfrac{1}{2}+2\times 3\dfrac{2}{5}

P=2\times \dfrac{2(2)+1}{2}+2\times \dfrac{3(5)+2}{5}

P=2\times \dfrac{5}{2}+2\times \dfrac{17}{5}

P=5+\dfrac{34}{5}

Taking LCM, we get

P=\dfrac{5(5)+34}{5}

P=\dfrac{25+34}{5}

P=\dfrac{59}{5}

P=11\dfrac{4}{5}

Therefore, the value of P is 11\dfrac{4}{5} ft.

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C. more money

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A house painter has an annual income of $35,000 and paid $2,500 in income tax. What percent of her income is the income tax?
almond37 [142]

Answer:

The 7.14% of her income is the income tax .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A house painter has an annual income of $35,000 and paid $2,500 in income tax.

Here

Part value = $2500

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Put in the formula

Percentage = \frac{2500\times 100}{35000}

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Therefore the 7.14% of her income is the income tax .

3 0
3 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
3 years ago
A rectangular park is 50m long and 35m broad.A 3.5m broad pavement runs along the boundary of the park .Find the cost of cementi
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Answer:

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= 50 per sq. m.

=> 595 x 50

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