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lyudmila [28]
2 years ago
14

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

Mathematics
2 answers:
nikdorinn [45]2 years ago
4 0

Answer:

33

Step-by-step explanation:

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.

blagie [28]2 years ago
3 0

Answer:

34? Idek

Step-by-step explanation:

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How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?
kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution  is added

so, we  get solution as

=\frac{60}{100}\times x

=0.6x

we are given

40 liters of a 20% alcohol solution is

=40\times\frac{20}{100}

=40\times\frac{20}{100}

=8

so, total alcohol solution is

=8+0.6x

now, we can find total solutions

total solutions is

=x+40

now, it is making 50% solution

so, we get

\frac{8+0.6x}{x+40} =\frac{50}{100}

now, we can solve for x

\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50

800+60x=50x+2000

10x=1200

x=120

So,

120 liters of 60% alcohol solution is needed

4 0
3 years ago
The mass of an ornament is m grams.
MArishka [77]

Given:

m is directly proportional to the cube of h.

m = 525 when h= 5.

To find:

The equation connecting m and h.

Solution:

m is directly proportional to the cube of h.

m\propto h

m=kh            ...(i)

Where, k is the constant of proportionality.

Putting m = 525 and h= 5, we get

525=k(5)

\dfrac{525}{5}=k

105=k

Putting k=105 in (i), we get

m=105h

Therefore, the required equation is m=105h.

8 0
2 years ago
DIRECTIONS: Use this information to answer Parts A, B, and C.
Talja [164]

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= \frac{1}{3}\pir^{2}h ---> V= \frac{1}{3}\pi(5^{2})(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

3 0
2 years ago
Rachel plans to fence in an area 7 meters long by 7 meters wide for her dog to run
timurjin [86]
If you are looking for the area of that, the answer would be 49 meters squared since in area, it is always length times width. 7x7=49. that answer would be 49 meters squared
3 0
3 years ago
Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area
GuDViN [60]

Answer:

  11 inches

Step-by-step explanation:

Take the square root and add 3.

  (x -3)² = 64

  x -3 = √64 = 8

  x = 8 +3 = 11

The original photo was 11 inches on a side.

7 0
3 years ago
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