Answer:
Triangle Q R P is shown. The length of Q R is 5 and the length of R P is 6. Angle Q R P is 40 degrees.
Step-by-step explanation:
The trigonometric formula refers the two sides length of the triangle and it also consists of included angle to find out the area
A = 
ab sin C
QPR contains two sides and the included angle
XYZ has one side and the two angles
DEF has only three sides
And, the ABC contains two sides but does not have the included angle
Based on the explanation above, the correct option is B
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for <em>b</em>
<u>Distribute -3:</u> -18b + 3 > 18 - 3b
<u>Add 18b to both sides:</u> 3 > 18 + 15b
<u>Subtract 18 on both sides:</u> -15 > 15b
<u>Divide both sides by 15:</u> -1 > b
<u>Rewrite:</u> b < -1
Answer:
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount Jonathan paid for the belt = $ 35
Discount = 1/3 off the regular price
Coupon = additional 8% = 0.08
2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.
We assume the question is asking for the original price of the belt, then we make this calculation:
Amount Jonathan paid for the belt = (Original price - Discount) - Coupon
Replacing with the values we know:
Original price = x
35 = (x - 1/3x) - 0.08x
35 = 2/3x - 0.08x
35 = 0.67x - 0.08x
35 = 0.59x
x = 35/0.59
x = 59.32
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
Answer:
x= 2√37
Step-by-step explanation:
First thing you want to do is find the length of the missing side where the the right angle is at. You can find that with the pythagorean theorem of the other triangle, since you are already given 2 sides.
Pythagorean Theorem
a=2
b=?
c=2√2
Plug in and solve for b.
2^2+b^2=(2√2)^2
4+b^2=8
b^2=4
b=2
Now use the pythagorean theorem again to find your x side.
a=2
b=12
c=?
2^2+12^2=c^2
4+144=c^2
148=c^2
c=√148
c=2√37
{x=2+y
{-6x-6y=-12
-6(2+y) -6y = -12
-12 - 6y - 6y = -12
-12y = -12 + 12
-12y = 0
y = 0
x = 2 + y = 2 + 0 = 2
Answer: x=2, y=0
