Answer:
h = 3.75
Step-by-step explanation:
Step 1: Write equation
2.5/6 = h/9
Step 2: Solve for <em>h</em>
- Cross multiply: 22.5 = 6h
- Divide both sides by 6: 3.75 = h
- Rewrite: h = 3.75
Step 3: Check
<em>Plug in h to verify it's a solution.</em>
2.5/6 = 3.75/9
0.416667 = 0.416667
Let
x------------> <span>The length of one leg
</span>y------------> <span>The length of second leg
</span>
we know that
H=50 cm
x=2y
<span>applying the Pythagorean theorem
H</span>²=x²+y²--------> 50²=(2y)²+y²---------> 2500=4y²+y²-----> y²=2500/5
y=√500--------> y=22.4 cm
<span>so
</span>x=2y--------> x=2*22.4--------> x=44.8 cm
<span>
the answer is
</span><span>the lengths of the legs of the triangle are
</span>44.8 cm
and
22.4 cm
4.0833 sorry if i’m wrong luv did you want it in a fraction?
Let n = the unknown number
"The product of a number and 4" = 4 * n = 4n
"increased by 16" = + 16
Set it all equal to - 2.
4n + 16 = - 2
Subtract 16 from both sides to get constants on one side and variables on the other.
4n = - 2 - 16
Combine like terms:
4n = - 18
Divide both sides by 4 to isolate variable n.
n = - 18 / 4
= - 4 and 2/4 = - 4 and 1/2
