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Black_prince [1.1K]
3 years ago
5

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 64 and 4. What is the length

of the altitude?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
Here, Ratio of corresponding length would be equal.
Let, Altitude = x
Then, 64 / x = x / 4
x² = 256
x = √256
x = 16

In short, Your Answer would be 16 units

Hope this helps!
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Answer:

  1. 3000 girls
  2. 38 fishes
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  4. 115 marbles
  5. 19 gray coloured cars

Step-by-step explanation:

Let the unknown values be x

1.

30 class mates = 1 class room

18 girls in 1 classroom

18 girls in 30 classmates

x girls in 5000 class mates

18\:girls= 30\:students\\x\:girls = 5000\:students\\\\Cross\:Multiply\\\\30x = 90000\\\\Divide\:both\:sides\:by\:30\\\frac{30x}{30} = \frac{90000}{30}\\ \\x = 3000\\= 3000 girls

2.

2.5\:miles = 12 \:fishes\\8\:miles = x\:fishes\\\\Cross\:Multiply\\2.5x = 96\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2.5\\\\\frac{2.5x}{2.5}=\frac{96}{2.5}\\  \\x = 38.4\\Approximately \: =38\:fishes

3.

8\:minutes = 14\: points\\21 \:minutes = x \:points\\\\Cross\:Multiply\\8x = 294\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{294}{8}\\\\Simplify\\x=\frac{147}{4}\\\\x = 36.75\\\\Approximately\:= 37\:points

4.

32\:marbles = 5\:inches\\x\:marbles = 18\:inches\\\\Cross\:Multiply\\5x = 576\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{576}{5}\\\\x=\frac{576}{5}\\\\x =115.2\\= 115=\:marbles

5.

2 \: gray\:colour= 15\:cars\\x\:gray= 140\:cars\\\\Cross\:Multiply\\\\15x = 280\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{280}{15}\\\\Simplify\\x=\frac{56}{3}\\\\x =18.666\\Approximately ;\\19

6 0
3 years ago
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Plz help me !!!!!!!!!!!!!!!!!!!!!!!!!!!
ycow [4]
1. 250ml
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6 0
3 years ago
Read 2 more answers
Please help. I don't understand​
Andreas93 [3]

Answer:

Length of third side is: \mathbf{8m^3-4m^2+3m}

Step-by-step explanation:

Perimeter of triangle = 18m^3+2m^2-m

Length of side 1= 5m^3+3m^2-2m

Length of side 2= 5m^3+3m^2-2m

We need to find length of third side.

The formula used is: Perimeter \:of\:triangle=Sum\:of\:all\:sides

Putting values and finding length of third side.

Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m

So, Length of third side is: \mathbf{8m^3-4m^2+3m}

5 0
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a rectangle has a side length 2x+9 and side width x. If the perimeter is 36 cm, what is the value of x?
alukav5142 [94]
2(2x + 9) + 2(x) = 36

4x + 18 + 2x = 36

Combine like terms.

6x + 18 = 36

Subtract 18 from both sides.

6x = 18

Divide 6 on both sides.

x = 3

Hope this helps!
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torisob [31]

Answer:

4

Step-by-step explanation:

i. d k I just entered the data into calculator

6 0
3 years ago
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