Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Suppose x-6 is listed as a possible answer. That is zero if x = 6. So put x=6 into the original x^2 + 4x - 60 to get 6^2 + 4*6 - 60 = 36 + 24 -60 = 0. hence x-6 is a factor.
Answer (x-6)
on this hand :x-5 is not a factor, because plugging x=5 into does not work.
Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
Answer: Irrational, assuming b is irrational
Step-by-step explanation:
You didnt state what "b" is, but:
Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number
Answer:
Option C → Congruent segments
Step-by-step explanation:
The meaning of segment bisector is a segment which divides another segment into two equal parts.It is not necessary that the segement which is bisecting the another segment are perpendicular with one another.
So, when a segment is bisected the two segments are equal.
Equal means the two segments are congruent.
Most appropriate statement
