Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeters, as shown. In centimeters, what is the approximate height of the ramp? Round the answer to the nearest tenth of a centimeter.

19.20cm

Step-by-step explanation:

Step one:

Given data

the length of the ramp is the same as the hypotheneus= 63cm

the horizontal base is the same as the adjacent= 60cm

the height is the same as the opposite

we can use Pythagoras theorem to solve for the height

Step two:

hyp^2= opp^2+adj^2

63^2=opp^2+60^2

3969=opp^2+3600

3969-3600=opp^2

369=opp^2

square root both sides we have

Opp=√369

Opp=19.20cm

the height is 19.20cm

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

answer: 60%

explanation:

÷

= 60%