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Blababa [14]
3 years ago
15

Randall buys a wooden board that is 5 7/8 feet long. The cost of the wooden board is 0.25 per foot including tax. Enter the tota

l cost, in dollars, of the wooden board
Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

Total Cost = $1.47

Step-by-step explanation:

Length of the wooden board = 5\frac{7}{8} =\frac{47}{8}

Cost of the wooden board = $0.25 per foot

Total Cost = Cost per foot X Total Length in foot

=  0.25 X \frac{47}{8} =1.47

Total Cost = $1.47

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cestrela7 [59]
3+4 because they are both the same answer
6 0
3 years ago
Consider a sphere of radius R > 0. Take two antipodal points A and B on the sphere, and another point C on the sphere. Check
aleksklad [387]

Answer:

To this question; we want to show that if two antipodal points on a sphere were A and B, for any random point C on the sphere, AC is perpendicular to BC?

Step-by-step explanation:

I would proceed by imagining the sphere in a three dimensional Cartesian coordinate system. For example, use a sphere of diameter 2 and let it sit at the origin. Then (0, 0, 1) and (0, 0, -1) are the vector locations of the “north and south poles” of the sphere.

Now choose the vector location of any point on the surface of the sphere. It will have a vector location - we’ll call it (x, y, z). Now the vectors from your point to the two poles are (-x, -y, 1-z) and (-x, -y, -1-z).

Now just form the dot product of those two vectors:

(-x, -y, 1-z) . (-x, -y, -1-z) = x^2 +y^2 + (1-z)*(-1-z)

Now the truth of your claim will be embodied in that dot product being zero:

x^2 + y^2 - (1+z)(1-z) = 0

x^2 + y^2 - (1-z^2) = 0

x^2 + y^2 + z^2 = 1

But that last line is just the definition of points on the surface of a sphere of radius 1, so the claim is proven.

Since R>0 and AC is perpendicular to BC, the <ACB is at right angle.

Please, find attached a simple image to show antipodal points (Two points that makes a diameter) and a point C on the sphere.

5 0
3 years ago
Please work this out
cestrela7 [59]

Answer:

? = 85°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum of the angles around a point = 360° , so

interior angle on right = 360° - 250° = 110°

sum the interior angles and equate to 540°

110° + 115° + 120° + 110° + ? = 540° , that is

455° + ? = 540° ( subtract 455° from both sides )

? = 85°

7 0
2 years ago
What is the value for x?<br> А=73 <br> B=(6x + 4)<br> C=(8y-7)<br> X=?
SOVA2 [1]

Answer: b duhhh

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
2/7 +2/5 find the sum and difrence
Juliette [100K]

Answer:

24/35  and the difference between two fractional numbers with same or equal denominators 5/7 and 2/7.

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