Answer:
3) D
4) B
5) A
6) 2 (x + 7)
Step-by-step explanation:
3)
D. Distributive Property
The distributive property of multiplication over addition can be used when you multiply a number by a sum.
4)
B. 2 + 8 = 8 + 2
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.
5)
A. 4 x 1 = 4
The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.
6)
3 ( x + 3) - X + 5
3x + 9 - x + 5
2x + 14
2 (x + 7)
A. 79
The inscribed angle is always 1/2 of the arc.
In this case angle RST is the inscribed angle and arc RT is the arc
The arc is 158
Inscribed angle=.5arc
Inscribed angle=.5(158)
Inscribed angle=79
Your answers would beX = -1/5
X = 2/3
Answer:
You didn't give the geometric sequence in question.
But to find the nth term of a geometric sequence, use the formula
Sn = ar^(n - 1)
Where a is the first term of the sequence
r is the common ratio of the sequence.
Example: To find the nth term of the geometric sequence
1/2, 1/4, 1/8, 1/16, ...
Here, a = 1/2
r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.
Sn = (1/2)(1/2)^( n - 1)
Apply this method to the sequence you were given, it will be helpful.
Area of the circle can be calculated using the following rule:
area = pi*(radius)^2
For the first circle:
We are given that:
area = 1040.9 square units ....> I
For the second circle:
We are given that:
radius = 27 units
Therefore:
area = pi * (27)^2 = 2290.221044 square units ....> II
For the third circle:
We are given that:
circumference = 87.92 units
Therefore:
circumference = 2*pi*radius = 87.92
radius = 13.99 units
area = pi*(13.99)^2 = 615.12799 square units ...> III
For the fourth circle:
We are given that:
diameter = 19 units
Therefore:
radius = 19/2 = 9.5 units
area = pi*(9.5)^2 = 283.528 square units ....> IV
Based on the above, the order according to increasing area would be:
IV , III , I , II
hope this helps :)
