Step-by-step explanation:
Given:
7p - 6pc + 3c - 2
Find:
Number of terms
Coefficients
Constant terms
Computation:
Number of terms = 4
Coefficients = (7, -6, 3)
Constant terms = -2
Answer:
33%
Step-by-step explanation:
The logo can be divided into three...
1. The inner circle (or The White Circle)
2. Blue + White circle
3. The whole circle(The logo)
I will be calculating the area of each circle..
Area of circle = (pi)r²
pi = 22/7
The inner circle
radius = 4cm
Area = 22/7 × 4²
= 50.286 cm² or 50²/7 cm²
Blue + White Circle
radius = 4 + 3 = 7cm
Area = 22/7 × 7²
= 154 cm²
The whole circle
radius = 4 + 3 +3 = 10cm
Area = 22/7 × 10²
= 314.286 cm² or 314²/7 cm²
Area shaded blue =
Area of [(Blue + White circle) - (The white circle)]
= 154 - 50.286 = 103.714 cm² or 103.⁵/7 cm²
Percentage of logo shaded blue =
(Area shaded blue) / (Area of logo) × 100
= 103.714/314.286 × 100
= 32.9999%
= 33%
Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
Answer:
Step-by-step explanation:
Is this a take home test for school?
XD
