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PIT_PIT [208]
1 year ago
15

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Mathematics
1 answer:
tensa zangetsu [6.8K]1 year ago
8 0

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

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Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5
Lerok [7]
1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8. 

You can verify the equality by simplifying to the simplest form:

     7 : 28 = 1 / 4 simplest form
     2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer


2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
</span><span>
</span><span>
</span><span>     18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
</span><span>
</span><span>
</span><span>3) Proportion c. 9 : 72 = 2 : 16
</span><span>
</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
</span><span>
</span><span>
</span><span>     9 / 72 = 1 / 8
</span><span>
</span><span>
</span><span>     2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>

In words: 81 is to 9 as 45 is to 5 ← answer


Proove it: 
      81 / 9 = 9
      45 / 9 = 9
8 0
3 years ago
Read 2 more answers
The formula for finding the number of bacteria present is given by P=P0(10)t where P is the final population, P0 is the initial
frozen [14]

Answer:

5.45 hours.

Step-by-step explanation:

The formula =

P = P0(10)t

In this circumstance, P0 = 275, P = 15,000 and t = ?

Applying the values into the formula:

P = P0(10)t

15,000 = 275 × (10) × t

15,000 = 2750t

t = 15,000/2750

t = 5.45 hours

3 0
2 years ago
Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun
notka56 [123]

Answer:

1,177.5

Step-by-step explanation:

I have not done this is a while but the formula is v = 3.14 r^2 h

so 3.14 x 5^2 x 15

then 3.14 x 25 x 15

lastly multiply it all to get 1,177.5

Hope this helps <3

3 0
2 years ago
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.07 foot thick, and when the radius of th
ololo11 [35]

Answer:43.54 ft^3/min

Step-by-step explanation:

Given

Thickness of oil slick=0.07 foot

radius of slick=110 ft

\frac{\mathrm{d} r}{\mathrm{d} t}=0.9 ft/s

Let V be the volume of oil slick

so, V=0.07\pi \cdot r^2

rate of oil flowing is

\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \cdot r\frac{\mathrm{d} r}{\mathrm{d} t}

\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \times 110\times 0.9=43.54 ft^3/min

7 0
2 years ago
What is 45% of 90 ?
Liula [17]

Answer:

40.5

Step-by-step explanation:

This answer makes sense because we know that 50% of 90 is 45.

Since 45% of 90 is 40.5, we can self-check our answer.

Hope I helped!

~PumpkinSpice1♥

4 0
3 years ago
Read 2 more answers
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