Answer
62
5.3
65
5.8
2.5
Step-by-step explanation:
FOr the first one we have the opposite and adjacent side, so we'll use TOA
let x= angle
tan(x)=4.7/2.5
x=61.99 or 62
2.) for this one we can just use pathagoryeous thereom
2.5²+4.7²=c²
28.34=c²
c=5.323
3.) For this one we know that the angles in a traingle must add to 180
let x= missing angle
25+90+x=180
x=65
4.) For this one we have the adjacent side but need the hypotonouse
we will therefore use CAH
cos(25)=5.3/x
5.3/(cos(25))=x
x=5.8
5.) For this one we will just use the pathagoryeous to solve for the missing side
a²+5.3²=5.8²
a²=6.107
a=2.5
Answer:
1.) (2,1) is a solution
2.) (4,3) is NOT a solution
Step-by-step explanation:
1.) (2,1)
These are these mean (x,y)
2=x and 1=y
You want to substitute the numbers for the letters in the equation.
so.
2(2)+1=5
4+1=5
5=5, This statement is true so (2,1) is a solution.
2.) Same as above. 4=x and 3=y
4(4)-3(3)=10
16-9=10
7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.
Answer:
growing 11 inches in 19 months
Step-by-step explanation:
the absolute value is the distance from zero and is marked by the | | signs. The distance from zero for -5 is 5 since it is 5 away from 0. If we rewrite this question, we have 5+3+6 which equals 14. So 14 is your answer.
Answer:
A) 1/20
B) H = x/20
C) 9.5 in
Step-by-step explanation:
A) Slope is the ratio of rise to run, so is ...
slope = rise/run = (1 in)/(20 in)
slope = 1/20
__
B) The maximum height is 1/20 of the horizontal distance, so ...
H = (1/20)x
__
C) Using x=190 in the above formula, ...
H = (190 in)/20 = 9.5 in
The ramp will reach a height of 9.5 inches.