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3 years ago

Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.

Mathematics

1 answer:

Oxana [17]3 years ago

8 0

The answer would be 32ft (squared). The formula for area of a triangle is base times length, divided by two. Therefore 8 times 8 equals 64. 64 divided by 2 is 32. good luck!

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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.

Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0

3 years ago

Can someone explain how to convert 70kg to lbs? i need to show work on my test.

Jlenok [28]

Answer:

70 kg is 154.3 lbs.

Step-by-step explanation:

There is 0.453592 kilograms per pound. That is just the conversion rate.

To find how many lbs 70 kg is, we do 70/0.453592 which is 154.3236.

3 0

3 years ago

If a man walks 150m down the street, stops to ask for directions, then walks 1 point

Komok [63]

180, is the answer because when I had a question like that you have to add

5 0

3 years ago

Please help I’ve been stuck on it forever. :(

slava [35]

Answer:

$31.37 is the sale price

Step-by-step explanation:

All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.

1. Store A. 40% off the original price of $159.99

$(159.99 * .40) = 63.996$

63.996 is the discount price we are looking for

2. Store B. 25% off the original price of $130.50

$(130.50 * .25) = 32.625$

32.625 is the discount price we are looking for

3. Now to find their difference you just subtract the two values.

$($63.996 - $32.625) = $31.371$

The discount price (sale price) is $31.371

6 0

3 years ago

Solve for "W"<br><br> -1 > 2W + 7

jeka57 [31]

-1>2W+7

-8>2w

w = -8/2 = -4

w>-4

8 0

3 years ago

Read 2 more answers