The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry