Answer:
Step-by-step explanation:
√3(√6+√15)
3√2+3√5
2√3+3√5
3√7
3√2+9√5
Answer:
? = 1 (assuming right-angled triangle)
Step-by-step explanation:
This is an application of Pythagoras' Theorem, but rearranged:

is, of course, 10, so 10 - 9 = 1, and
.
Answer:
<h3>-9</h3>
Step-by-step explanation:
Given the following angles;
m ∠ GHI = 173°
m ∠ GHQ = 29 + x
m ∠ QHI = x + 162
The following expression is true for the three angles;
m ∠ GHI = m ∠ GHQ+ m ∠ QHI
substitute the given values into the formula and calculate x
173 = 29+x+x+162
173 = 29+162+2x
173 = 191+2x
2x = 173 - 191
2x = -18
x = -18/2
x = -9
Hence the value of x is -9
Answer:
A, C, D and K
Step-by-step explanation:
Inequalities:
y ≤ −2x + 10 and y >1/2x-2
<u>Finding zeros for the first inequality:</u>
- x=0 ⇒ y= 10, point (0, 10)
- y=0 ⇒ x= 5, point (5, 0)
- Locating these 2 points and connecting to get the first line.
Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.
<u>Finding zeros for the second inequality:</u>
- x=0 ⇒ y= -2, point (0, -2)
- y= 0 ⇒ x= 4, point (4, 0)
- Locating these points and connecting to get the second line.
Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.
Now we have the space of intersection of the above inequalities.
So the points in same section are the solution.
They are:
See attached for explanation
Answer: Total work stations = 20
Step-by-step explanation:
Total clay =
pound
Clay at each work station =
pound
Total work stations = (Total clay ) ÷ (Clay at each work station )

Hence, Total work stations = 20