Answer: x = - 2√5, √5/3
Step-by-step explantion
3 √ 5 x 2 + 25 x − 10 √ 5 = 0 35x2+25x−105=0
⇒ 3√5x2 + 30x – 5x – 10√5 = 0
⇒ 3√5x(x + 2√5) – 5(x + 2√5) = 0
⇒ (x + 2√5)(3√5x – 5) = 0
x = - 2√5, √5/3
Answer:
180=144+3X
X=12
Step-by-step explanation:
angles must add to 180
180=45+80+3X+19
gather like terms
180=144+3X
subtract
36=3X
divide
X=12
Answer:
-221 base 3
Step-by-step explanation:
We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.
121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3
Let's convert to base10
See attachment for details
From the workings,
121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3
Answer:
11,700cm²
Step-by-step explanation:
Area of the triangle = 1/2*JK sin<I
Given
J = 800cm
K = 240cm
<I = 173 degrees
Substitute
Area of the triangle = 1/2 * 800 * 240 sin 173
Area of the triangle = 400 * 240sin 173
Area of the triangle = 400 * 29.25
Area of the triangle = 11,699.5
Area of the triangle to the nearest square centimeter is 11,700cm²