Type the correct answer in the box. Assume that π = 3.14, and round your answer to the nearest integer.

Mathematics

2 answers:

Vinil7 [7]3 years ago

4 0

Answer: 648 yards.

Step-by-step explanation:

Given: Central angle = 280°

Radius = 35 yards

The length of arc with central angle x and radius r is given by :-

$l=\dfrac{x}{360^{\circ}}\times2\pi r\\\\\Rightarrow\ l=\dfrac{280}{360}\times2\pi(35)\\\\\Rightarrow\ l=171.042266\approx171\text{ yards}$

Total distance = 171 +45 = 216 yards

Now, if David runs around the field three times, he covers a distance = $3\times216 =648\text{ yards.}$

KengaRu [80]3 years ago

3 0

Length of an arc of a circle:
L = n° / 360° · 2 r · π = 280°/360° · 2 · 35 · 3.14
L = 170.9 yards
170.9 + 45 = 215.9
3 · 215. 9 = 647.7 ≈ 648
... he covers the distance of 648 yards.

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If we know that 5 cups of flour is used to make 20 biscuits, figure out how many biscuits are made with 15 cups of flour

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Step-by-step explanation:

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :