Answer:
the sequence is 2, 14, 98, 686.
Step-by-step explanation:
As we know in any geometric sequence the terms are denoted by
We have to find the first four terms of geometric sequence which has first term a = 2 and common ratio of the terms r = 7
number of terms = 4
The sequence from the formula will be
or the sequence is 2, 14, 98, 686.
Answer:
27, 90 and 63
Step-by-step explanation:
Given
Ratio of triangle sides
Required:
The length of each side
Triangles in a triangle add up to 180.
The side with ratio 3 is:
The side with ratio 10 is:
Lastly:
The side with 7 as its ratio
Hence, the angles are: 27, 90 and 63
ANSWER
EXPLANATION
The surface area of a triangular prism is
equal to the area of two triangular faces
plus the area of the three rectangular faces.
The area of the equilateral triangle is calculated using the formula:
where s=6 is the length of one side.
and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.
Surface area
=211.2square inches.
Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is
Variable y: We have exponents 3, 3 and 1. So the GCF is
Variable z: We have exponents 1, 1 and 1. So the GCF is
The greatest common factor is: