Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.
Answer:
x = 15
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x.
0 = 1/3 x − 5
Solve the equation.
x = 15
This is so it makes more sense for u
Hope this Helps (✿◠‿◠)
If Simone has 20 bills, then:
1/5 of 20 = 4 [hundreds]
1/4 of 20 = 5 [fifites]
1/10 of 20 = 2 [$20s]
4 * 100 + 5 * 50 + 2 * 20 = 400 + 250 + 40 = 690 [out of $780]
4 + 5 + 2 = 11 [out of 20 bills]
So now we can easily find out she had 9 bills of tens - because 20 - 11 = 9 or because (780 - 690) ÷ 10 = 90 ÷ 10 = 9.
Answer:
L.S = R.S ⇒ Proved down
Step-by-step explanation:
Let us revise some rules in trigonometry
- sin²α + cos²α = 1
- sin2α = 2 sin α cosα
- cscα = 1/sinα
To solve the question let us find the simplest form of the right side and the left side, then show that they are equal
∵ L.S = csc2α + 1
→ By using the 3rd rule above
∴ L.S = 
+ 1
→ Change 1 to 
∴ L.S = +
→ The denominators are equal, then add the numerators
∴ L.S = 
∵ R. S = 
∵ (sinα + cosα)² = sin²α + 2 sinα cosα + cos²α
∴ (sinα + cosα)² = sin²α + cos²α + 2 sinα cosα
→ By using the 1st rule above, equate sin²α + cos²α by 1
∴ (sinα + cosα)² = 1 + 2 sinα cosα
→ By using the 2nd rule above, equate 2 sinα cosα by sin2α
∴ (sinα + cosα)² = 1 + sin2α
→ Substitute it in the R.S above
∴ R. S =
∵ L.S = R.S
∴ csc 2α + 1 =
Answer:
756π cm^3.
Step-by-step explanation:
Volume of the cone
270π = 1/3 π r^2 h
270π = 1/3 π r^2 * 10
r^2 = 270 / ( 10/3 )
r^2 = 81
r = 9 cm.
So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3
= 486π cm^3.
So the volume of the whole solid = 270π + 486π
= 756 π cm^3.
