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3 years ago

a rectangular field measures 10 yards by 24 yards. What is the distance, d, from one corner to the opposite corner?

1 answer:

5 0

Using the Pythagorean theorem to solve this, d=26, here's how.
a^2+b^2=c^2
plug in the numbers you already have
10^2+24^2=d^2
100+578=676
676=d^2
take the square root of that
√676=26
d=26

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Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb =

jasenka [17]

Answer:

The weight of the parcel is approximately 6 kilograms.

Step-by-step explanation:

The weight of the parcel is 12 lbs and 8 oz.

1 lb = 16 oz

So, 8 oz = $\frac{1}{2}lb = 0.5$ lb.

That means, 12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs

Now, 1 lb = 454 g

So, 12.5 lbs = (12.5 × 454) g = 5675 g

As, 1 kilogram = 1000 g

That means, 1 g = 0.001 kilogram

So, 5675 g $= (5675 \times0.001) kilograms= 5.675 \approx 6$ kilograms. (Rounded to the nearest whole kilogram)

Thus, the weight of the parcel is approximately 6 kilograms.

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3 years ago

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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bezimeni [28]

Step-by-step explanation:

Remember that in a linear function of the form $f(x)=mx+b$ , $m$ is the slope and $b$ is the why intercept.

Part A. Since $g(x)=2x+6$ , its slope is 2 and its y-intercept is 6

Now, to find the slope of $f(x)$ we are using the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

where

$m$ is the slope

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

From the table the first point is (-1, -12) and the second point is (0, -6)

Replacing values:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-6--(12)}{0-(-1)}$

$m=\frac{-6+12}{0+1}$

$m=6$

The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).

Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table $f(x)=-6$ when $x=0$ ; therefore the y-intercept of $f(x)$ is -6.