Answer:
C. 0.85 cups
Step-by-step explanation:
4.25/5 = 0.85
X=16
Y=-6
im not good at factorization but this is what i got
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Question 21
Selling price = 18 + 18 x 36/100
Question 22
Discount price = 80 - 80x10/100
Selling price = discount price + discount price x 7/100
Answer:
B. 196.5
Step-by-step explanation:
First lets fine the semi circle's area.
The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.
The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14
(3.14)(8)²=200.96 and half of that is 100.48
The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.
The formula for area of an triangle is A=1/2bh
We can see that the base is 16 and height is 12, and now plug it in.
A=1/2(16)(12)= 96.
The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.
