Answer:
See below
Step-by-step explanation:
Problem 1
If n is the smallest of the consecutive integers, the next integer would be n+1.
Problem 2
The equation is terms of n is going to be
s = n + n + 1 + n + 2 + n+3
Problem 3
Collect like terms on the right
s = 4n + 6
Problem 4
4n + 6 = s Subtract 6 from both sides
4n = s - 6 Divide by 4
n = (s - 6)/4
Problem 5
Solve for n when s = 2174
n = (2174 - 6)/4
n = 2168 / 4
n = 542
check
n = 542
n + 1 = 543
n + 2 = 544
n + 3 <u> = 545</u>
Total 2174 Just as it should
Answer:
Tetrahedron generally known as triangular pyramid consists of 4 triangular faces, 6 edges and 4 vertices. The base of the tetrahedron is a triangle. All the vertices have the same atom that is bonded to the central metal atom which lies in the centre of the tetrahedron. We take as an example to see how the atoms actually bond in tetrahedron. It is quite visible from the image that 4 O-atoms lies on all the 4 vertices and 1 Si-atom lie in the centre.
Step-by-step explanation:
<h3>
Answer: 29 miles (approximate)</h3>
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Explanation:
Segment AB is already given to be 19 miles long.
I'm assuming your teacher meant to ask about side BC, which is side 'a' since it's opposite angle A.
Use the law of cosines to find the missing side
a^2 = b^2 + c^2 - 2*b*c*cos(A)
a^2 = 12^2 + 19^2 - 2*12*19*cos(138)
a^2 = 843.874040417691
a = sqrt(843.874040417691)
a = 29.0495101579647
a = 29 when rounding to the nearest whole number
Side BC is roughly 29 miles long.
1.)
10/15 ÷ 5
= 2/3
2.)
7/21 ÷ 7
= 1/3
Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
