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lora16 [44]
3 years ago
6

A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a trian

gle is the sum of its side lengths.
Enter your answer as a mixed number in lowest terms, like this: 4 2/5
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

64

Step-by-step explanation:

merry chrismas

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A box with a height of 5 inches that contains 9 identical glass spheres that have a diameter of 5 inches are used to make snow g
Ber [7]
The picture in the attached figure

we know that
volume of the box=15*15*5-----> 1125 in³

the volume of one sphere=(4/3)*pi*r³
r=5/2----> 2.5 in
the volume of one sphere=(4/3)*pi*2.5³----> 65.45 in³

volume of 9 spheres=9*65.45 ----> 589.05 in³

<span>the volume of the empty space left in the box=1125-589.05--> 535.95 in</span>³

the answer is
536 in³

3 0
3 years ago
Minimum value of y=2x^-8x-8
Stella [2.4K]
It is -16. Get b/a and then plug that answer. 
7 0
3 years ago
If you could help I would really appreciate it, but if not that’s fine. Thank you.
nikitadnepr [17]
Since -2 is less than or equal to -1 input it into the first equation.

-3•(-2)-4
6-4
2

the answer is 2
6 0
3 years ago
Expand each expression.<br> In (2x)4<br> 4 In 2 + 4 In<br> 4 In 2 + In x<br> 8 In x
Daniel [21]

Answer:4 In 2+4 In x

Step-by-step explanation:

Got it right on edge

5 0
3 years ago
If 4sintheta = -3, solve for theta given 0°&gt;_theta&gt;_360°
Soloha48 [4]

Answer:

311.41 degrees

Step-by-step explanation:

If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).

Let's assume we're in Quadrant IV.  Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.

According to the Pythagorean Theorem,  (-3)^2 + x^2 = 4^2, or,

x^2 = 16 - 9 = 7.

Then x is either √7 or -√7.

To find the angle Ф, use the inverse sine function:

Ф = arcsin (-3/4).  Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees.  We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."  

6 0
3 years ago
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