Answer:
(5x+3)(2x+4)=10x^2+26x+12
Step-by-step explanation:
You use FOIL (First, Outer, Inner Last)
First: 5x times 2x= 10x^2
Outer: 5x times 4= 20x
Inner: 3 times 2x= 6x
Last= 3 times 4
Combine 20x and 2x to get 26x
(3 - i) + (1 - 2i)
= 3 + 1 - i - 2i
= 4 - 3i
Answer: She cycles 25% of the time
Step-by-step explanation:
From the question, Sally walks 15% of the time.
She drives 3/5 of the time.
We then convert 3/5 to percentage.
Converting to percentage means multiplying by a factor of 100.
Hence, Sally drives 3/5*100 = 60% of the time.
If Sally walks 15% of the time and drives 60% of the time, adding up the percentage time used by these two media of transportation will give us
60% + 15% = 75%
Hence if she cycles for the remainder of the time, expressing it as percentage would mean subtracting the time used in other means by 100%
Hence it will be 100% - 75% = 25%
the SAS similarity theorem
Answer:
The field will not fit
Step-by-step explanation:
To find the angle, we will use cosine rule;
c² = (a² + b² - 2abcosC)
C in this case is θ
Thus;
15² = (8² + 20² - 2(8 × 20)cos θ)
225 = (64 + 400 - 320cos θ)
464 - 225 = 320cos θ
cos θ = 239/320
θ = cos^(-1) 0.7469
θ = 41.68°
Thus angle is not less than 40° as recommended. Thus, the field will not fit.
