Answer:
∠Q = 53.13 degrees
Step-by-step explanation:
Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle
Hence using the notation
SOH CAH TOA
where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides
Considering ∠Q and the given sides
PR=16cm is the opposite side,
PQ= 12 cm is the adjacent side hence we use TOA
Tan Q = 16/12 =
Q = Arc tan 16/12
= 53.13 degrees
The answer for this question will be c. 28 square units.
1)
LHS:

LHS = RHS. So, the statement is true
2)
LHS:

LHS not equal to RHS. So, the statement is false
3)
LHS:

LHS = RHS. So, the statement is true.
4)
LHS:

LHS = RHS. So, the statement is true.
The measurement of x is 3.9999
Answer:
-17
Step-by-step explanation:
- 5 * (6 + 4) ÷ 2
Following PEMDAS, we must focus on the parenthesis first.
- 5 * (6 + 4) ÷ 2
- 5 * (10) ÷ 2
Now we will focus on the exponent:
- 5 * 10 ÷ 2
8 - 5 * 10 ÷ 2
Now Multiplication/Division.
This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.
8 - 5 * 10 ÷ 2
8 - 50 ÷ 2
Next, Divide:
8 - 50 ÷ 2
8 - 25
Subtract:
8 - 25
-17
- 5 * (6 + 4) ÷ 2 = -17.