It can be 15/8 if improper fraction or 1 7/8 if mixed number
Answer:
x = 6
y = 6
z = 12
Step-by-step explanation:
the ratio of sides in a 30-60-90° triangle is, respectively, 1 :
: 2
therefore, 'x' must have a measure of 6
which means the hypotenuse must have a measure of 12
other triangle is a 45-45-90° triangle whose sides are in a ratio of 1 to 
this means that 'y' must be 12/
which is 6
'z' must be 6
·
= 12
Answer:
50 cm
Step-by-step explanation:
So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 = area. Plugging in the numbers you have, you get:

Then, this becomes

Divide both sides by 24

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: 

Therefore the length of the hypotenuse is 50 cm
Answer:
p(2) =147 and p(4) = 1791
Step-by-step explanation:
We are given p(x)= 6x^4 + 4x^3 – 3x^2 + 8x + 15.
Now we need to find value of p(2) and p(4)
Put x =2,
p(2) = 6(2)^4 + 4(2)^3 – 3(2)^2 + 8(2) + 15
p(2) = 6(16)+4(8)-3(4)+8(2)+15
p(2) = 96+32-12+16+15
p(2) = 147
Now put x = 4
p(4) = 6(4)^4 + 4(4)^3 – 3(4)^2 + 8(4) + 15
p(4) = 6(256)+4(64)-3(16)+8(4)+15
p(4) = 1536+256-48+32+15
p(4) = 1791