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DerKrebs [107]
3 years ago
8

Henry has a wooden chest that has a length of 312 ft, a width of 114 ft and a height of 2 ft. Henry sands the entire outside of

the chest with sandpaper. How many square feet of wood does Henry sand?
Mathematics
1 answer:
timurjin [86]3 years ago
4 0
The surface area of a rectangular prism is:

A=2(xy+xz+yz)  where x,y, and z are the dimensions, in this case:

A=2(312*114+312*2+114*2)

A=2(35568+624+228)

A=2(36420)

A=72840 ft^2
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My recommendation would be to factor..
x² + 4x + 3 = 0 factor the left side into two binomials
(x + 3)(x + 1) = 0 set each of these binomials equal to zero and solve

x + 3 = 0 Implies x = -3
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Answer! The amount of time it takes to complete a reading assignment might be a function of which of the folowing ?
sladkih [1.3K]
Amount is a function of what means
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well, the amount of time to read would be depending on the number of pages or your reading speed

looking at the options, A is clearly the answer

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For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple
almond37 [142]

Answer:

\displaystyle \sin(A-B)=\frac{495}{1073}

Step-by-step explanation:

We are given that:

\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

h = \sqrt{35^2 + 12^2} =37

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

a=\sqrt{29^2-20^2}=21

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)

Evaluate:

\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}

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3 years ago
Evaluate the expression:
Simora [160]
The dot product will have you multiply the corresponding coordinates and add up the products

v dot w = (6*(-7)) + (7*5) + (-3*2)
v dot w = -42 + 35 - 6
v dot w = -7 - 6
v dot w = -13

Answer: -13
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What is the formula for area of a circle? 100 points
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Hello!

The formula for the area of a circle is:

A = \pi x r²

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