Answer:
87 or 88
Step-by-step explanation:
86 is 98% of 87.755102
So, the number of problems must have been 87 or 88
Answer:
The Greatest possible value of one of the integer is 140.
Step-by-step explanation:
Given: The average (arithmetic mean) of five different positive integers is 30.
To find: What is the greatest possible value of one of these integers?
Explanation: we are given that the arithmetic mean of five positive integer
is 30.
Let the five positive integers are A,B,C,D,E
The arithmetic mean :
=30.
On multiplying both side by 5.
A+B+C+D+E =150.
The least values of A ,B,C and D can be 1 ,2,3,4.
Then : 1 +2+3+4+E =150
On simplification 10+E =150
On subtraction both side by 10 we get
E = 140 .
Therefore, the Greatest possible value of one of the integer is 140.
Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)
Answer: 15
Step-by-step explanation: Take 12 and change the -3 to a regular 3.
(12 + 3 = 15.)
Whichever number in the question that’s bigger determines what integer it will have.
1. There is a pattern. In figure 2, there were two toothpicks added.
2.Same thing with the pattern. you add three toothpicks in each figure.
