As y varies to x and y=10 and x=4 which direct variation is correct

Mathematics

1 answer:

nataly862011 [7]4 years ago

3 0

The first one (y=5/2x) because if you just multiple 4 and 5 first u get 20 and then you divide it by 2

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The expression 5(2x - 1) - 3x(2x - 1) when factorized fully is equal to

Nadusha1986 [10]

Here is my work! the answer is (-3x+5)(2x-1)

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3 years ago

The scale of a map says that 2 cm represents 8 km. What is the actual number of kilometers that is represented by 3 centimeters

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12kilometers
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3 years ago

Read 2 more answers

In the number below, what happens to the value of the digit 3 when it is moved one place value to the left?

Elis [28]

Answer:

it increases by a factor of 10, hence option B is the answer

Step-by-step explanation:

Initial Figure = 2037

When it is moved one place to the left, it increases from tens to hundreds

Hence option B is the answer

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3 years ago

Lewis County, Washington, has a guideline that new roads should not exceed a 15% grade, or a 15 foot rise over a horizontal dist

sesenic [268]

To calculate this problem, divide the smaller number by the larger to get the grade or slope.
I.E. 15/100= .15 = 15%
41/254 = .16 = 16% NOPE, it doesnt meet county guidelines

hope it helps

4 0

3 years ago

Please help me thank you!!!

kow [346]

There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).

Option 1 (fast and easy):

The following is the equation for the area of a regular pentagon with side length s.

$A= \dfrac{s^2}{4} \times \sqrt{5(5+2\sqrt{5})}$

Plug s=12 into the equation.

$A= \dfrac{12^2}{4} \times \sqrt{5(5+2\sqrt{5})}$

$\approx 247.7$

The third choice should be your answer.

Option 2 (much more complicated):

The area of a regular polygon can be solved with the following formula.

$A=\dfrac{\text{perimeter} \times \text{apothem}}{2}$

Let's solve for the apothem.

A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.

An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.

The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.

$\text{apothem}=\dfrac{6}{\tan{36}}$

$\approx 8.26$

The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.

$A=\dfrac{\text{perimeter} \times \text{apothem}}{2}$

$=\dfrac{60 \times 8.26}{2}$

$\approx 247.8$

(it seems that we're off by 0.1 due to rounding errors)

The answer is the third choice. Hope this helps! :)

4 0

4 years ago