<u>Given</u>:
Given that PQR is a triangle.
The measures of the sides of the triangle are 4,5 and 6.
We need to determine the measure of ∠Q.
<u>Measure of ∠Q:</u>
The measure of ∠Q can be determined using the law of cosines formula.
Thus, we have;

Substituting p = 6, q = 4, r = 5, we get;

Simplifying, we get;


Dividing, we get;



Thus, the measure of ∠Q is 41°
Hence, Option b is the correct answer.
Answer:
-45, -44, -43
Step-by-step explanation:
Let the smallest consecutive integer be x. Consecutive integers have a difference of 1, so the next consecutive integer must be x+1, and the next is x+2. Since they all add up to -135, we can form this equation: x+x+1+x+2=-132. When you solve, x should be -45, which is the smallest in the set. So the next must be -45+1=-44, and the next is -44+1 which is -43.
Answer:
its 5.08
Step-by-step explanation:
Answer:
$233.39
Step-by-step explanation:
Pants = $82, 2 Shirts = $53 * 2, Shoes = $120
Add all these values up to find the total cost of your order excluding tax.
82 + 53(2) + 120 = 308
Next find the price w/ tax. Multiply 308 by 8.25%, or 0.0825.
308 * 0.0825 = 25.41
Now you add the tax to the total value.
308 + 25.41 = 333.41
The total value including tax is $333.41. The online retailer is offering a 30% savings (discount), so multiply the total price including tax by 30% (0.30).
333.41 * 0.30 = 100.023
Now you subtract the discount from the total price.
333.41 - 100.023 = 233.38700
The question say the answer rounded to the nearest cent or hundredths, so your final answer is 233.39.
The final price of the clothing including all discounts and taxes is $233.39.
draw an equilateral triangle that has a side length of all 4cm