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DiKsa [7]
3 years ago
13

What factors of 48 are multiples of 4

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0
<span>4, 8, 12, 16, 24, 48</span>
den301095 [7]3 years ago
8 0
4, 8, 12, 16, 24 and 48.
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drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge
jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

a^{2} +b^{2} =c^{2}

(3.3)^{2} +b^{2} =(5.2)^{2}

b^{2} =(5.2)^{2}-(3.3)^{2}

b =\sqrt{(5.2)^{2}-(3.3)^{2}}

b=4.0187...

b=4.0 m

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

c^{2}  =a^{2} +b^{2} -2ab(cos(C))

(3.3)^{2}  =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))

cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}

C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})

C=39.3915...

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0
3 years ago
Find the length of each side of the polygon for the given perimeter.<br> P = 48
Vaselesa [24]

Answer:

The top is 5

The right side is 5

The bottom is 2x = 2*5 = 10

The left is 5-2 = 3

Step-by-step explanation:

The perimeter is the sum of the sides

x+x+ 2x + x-2 = 23

Combine like terms

5x-2 = 23

Add 2 to each side

5x-2+2 = 23+2

5x = 25

Divide each side

5x/5 = 25/5

x = 5

The top is 5

The right side is 5

The bottom is 2x = 2*5 = 10

The left is 5-2 = 3

6 0
3 years ago
Some ppl might think this is easy
ratelena [41]
Point-slope form: y - 5 = (-1/5)(x - 7)

standard form: x + 5y = 7

slope-intercept form: y = (-1/5)x + (7/5)
***note: (-1/5) = -0.2 and (7/5) = 1.4
8 0
2 years ago
Read 2 more answers
Write the expression 12^-2 in simplest form.
olga2289 [7]

Answer:

Step-by-step explanation:

1/12^2 = 1/144

8 0
2 years ago
Find the coordinates of the points of intersection of the graphs with coordinate axes:
natali 33 [55]
It would be (3,0) and (0,3) respectively.
8 0
2 years ago
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