Step-by-step explanation:
First you need to make a line perpendicular to y=2/3x+5. To do that you have to know that, if we use y=ax+b, a1*a2=-1. That is if a1 and a2 are perpendicular. So we get 2/3*a2=-1. -1/ 2/3=a2. a2=-1.5. We get y=-1.5x+b. Fill in (4,0) on y=-1.5x+b abd we get 0=-1.5(4)+b. b=6
Answer:
18/35
Step-by-step explanation:
1 1/5 ÷ 2 1/3
Change from mixed numbers to improper fractions
1 1/5 = (5*1+1)/5 = 6/5
2 1/3 = (3*2+1)/3 = 7/3
6/5÷ 7/3
Copy dot flip
6/5* 3/7
18/35
= a^21b^24c^10
use the product rules for each set of () then multiply them together. when multiplying variables with exponents you just add them together like for a^3 * a^5 = a^8. (a^3 b^12 c^2)^2 = (a^6 b^24 c^4)
Answer:
choice 1) -6 and choice 2) -5
Step-by-step explanation:
choice 1)
-(1/2)-6)+6 > 8
9 > 8
choice 2)
-(1/2)(-5)+6 > 8
8 1/2 > 8
Answer:
The height of Sandy is 68.74 inches.
Step-by-step explanation:
It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.
Let the height of Sandy be x.
Sandy casts a shadow that is 9 feet 2 inches long.
We know that 1 feet = 12 inches
Using this conversion, we get
Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches
In a right angled triangle,
In triangle ABC,
Multiply both sides by 110.
Therefore the height of Sandy is 68.74 inches.
