Answer:
12 cm
Step-by-step explanation:
Well first we can cut the triangle in half and use the Pythagorean theorm
a^2+b^2=c^2
In this case we are going to be doing c^2-a^2=b^2
10^2-8^2=b^2
(10*10)-(8*8)=b^2
100-64=b^2
36=b^2
Now we just square root 36 (what number times itself is 36)
b=6
Since half of the one side equals 6 (DC) then the length of AC is 12!
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
<u>Step 1</u>: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
<u>Step 2</u>: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
<u>Step 3</u>: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
_____
<em>Additional comment</em>
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
Answer:
Irrational
Step-by-step explanation:
Therefore, this is irrational. Hope this helps!
Answer:
42 square meters
Step-by-step explanation:
rectangle: 3 x 6= 18 square meters
square: 4 x 5= 20 square meters
triangle: 4 x 2 x 1/2= 4 square meters
18 + 20 + 4= 42 square meters
D
XZ : YZ = 5:8
3 * XY = 27 (9*3 = 27)
3*XZ : 3*YZ = 3*5 : 3*8
SW : TW = 15 : 24
SW = 15 and TW = 24
