Okay so where's the math question(s)?
The statement on the bottom left is correct. (6 students studied for 20 to 24 hours)
Answer: A. contains a number and a unit
Step-by-step explanation:
Quantitative observations measure the quantity, or the amount, of a certain thing. Therefore they must always use a number value to measure the amounts, and a unit to signify what the amount is for.
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
Answer:
--- Distributive property
Step-by-step explanation:
Given
Ferns = 4
Palms = 2
Lillies = 10
Shrubs = 8
Required
Show the total cost of plants as an expression
Shorten it using the distributive property
First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;
So, 4 Ferns = 4F
2 Palms = 2P
10 Lilies = 10L
8 Shrubs = 8S
Total Plants = Summation of the above parameters
The above expression represents the total plants bought;
Now, to apply the distributive property; we simply look for a common factor;
In this case, the common factor is 2;
So, becomes
