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frozen [14]
3 years ago
14

A log with a radius of 2.5 feet is rolled up a hill. If it takes 30 seconds to roll the log one complete revolution, approximate

ly how many minutes will it take to roll the log 75 yards? [3 feet = 1 yard] 5 7 10 12 15
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer: 45minutes

Step-by-step explanation:

Since it takes 30seconds to roll a log of 2.5feets up the hill, it will take 25×225/2.5 seconds to roll a log of 225feets(75yards).

*Note that

3feets= 1yard

xfeets = 75yards

x = 75 × 3

x = 225feets

2.5feets = 30seconds

225feets = y

y = 225×30/2.5

y = 2700seconds

It will take 2700 seconds (45minutes) to roll up 75yards(225feets) of log

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Acellus
lukranit [14]

Answer:

d = 14

Step-by-step explanation:

\sin \: 45 \degree =  \frac{a}{7 \sqrt{2} }  \\  \\a = 7 \sqrt{2}  \sin \: 45 \degree  \\  \\ a =  7\sqrt{2}   \times  \frac{1}{ \sqrt{2} }  \\  \\ a = 7 \\  \\  \sin \: 30 \degree =  \frac{a}{d}  \\  \\  \frac{1}{2}  =  \frac{7}{d}  \\  \\ d = 2 \times 7 \\  \\ d = 14

8 0
3 years ago
Y=6x+5 is the equation. what is its gradient
Irina18 [472]
Gradient is synonymous to slope.

y = 6x + 5 is an example of a slope-intercept form of a straight-line equationl.

The slope-intercept equation is like this:

y = mx + b

where : m = slope ; b = "y-intercept"

y = 6x + 5

6 is the slope
5 is the y-intercept.

Since slope and gradient are synonymous, 6 is the gradient of the above equation.
8 0
3 years ago
Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position
Alenkinab [10]

Answer:

\cos \theta=-\dfrac{8}{17}

Step-by-step explanation:

Coordinates of Point b=(-8,15)

b lies on the circle whose equation is x^2+y^2=289

x^2+y^2=17^2

Comparing with the general form a circle with center at the origin: x^2+y^2=r^2

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}

8 0
3 years ago
Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x? A. x ≤ -33 B. x ≥ 33 C. x ≥ 31 D. x ≤ 31
ikadub [295]

Answer:

The answer is B.

Step-by-step explanation:

Solve for x.

-5x + 5 \geq 160 - 10x

Add 10x to both sides, and subtract 5 from both sides.

5x \geq 155

Now, divide by 5.

x \geq 31          is the answer

#teamtrees #WAP (Water And Plant)

3 0
3 years ago
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