First one is arithmetic sequence in disguise
an=a1+d(n-1)
a1=first term
d=common differce
n=which term
so
first erm is 4
common difference is 9-4=5
an=4+5(n-1)
when n=10
4+5(10-1)
4+5(9)
4+45
49
B
3.5, to 6.5, 9.5
aritmetic, increase by 3, first term is 3.5
an=3.5+3(n-1)
10th term
3.5+3(10-1)
3.5+3(9)
3.5+27
30.5
A is49
B is 30.5
A is answer
an=a1+d(n-1)
115+(-8)(14-1)
115-8(13)
115-104
11
answer is B
an=a1+d(n-1)
45+(-3)(10-1)
45-3(9)
45-27
18
C
Answer:
m = 4
Step-by-step explanation:
The m in y= mx+b is the slope.
Answer:
Step-by-step explanation:
We are given an isosceles triangle. We need to remember the important rule that the base angles are equal. In this question we need to find the value of 'x' using a perpendicular height of 3 and a base length of 4. In this question we can half the triangle in half to help us find the value of x. Also we need to use Pythagoras theorem to help us find 'x'. Pythagoras states that a² + b² = c² so we want to find the hypotenuse of the triangle. If we half the triangle we get 2 triangle both with a base length of 2 and a perpendicular height of 3 so,
⇒ State Pythagoras theorem
→ a² + b² = c²
⇒ Substitute in the values
→ 3² + 2² = c²
⇒ Simplify
→ 9 + 4 = c²
⇒ Simplify further
→ 13 = c²
⇒ Square root both sides to find the value of 'c'
→ = c
The value of x is the square root of 13
1/10 is the same as 10/100.
Add the fractions together to equal 13/100 inch long.