0.12 rounded to the nearest tenth is 0.10
Option B:
sin x = 1 is the equation represented by the intersection of the graph.
Solution:
The graph lies between -1 and 1 in y-axis.
x-axis of the graph is all real numbers.
The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.
That is the domain of the graph is all real numbers.
The range of the graph is [-1, 1].
It clearly shows that, it is the graph of sinx = 1.
Hence sin x = 1 is the equation represented by the intersection of the graph.
Option B is the correct answer.
Answer: the 57 the term is - 909
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 13
d = - 29 - - 13 = - 45 - - 29 = - 16
n = 57
We want to determine the value of the 57th term, T57. Therefore,
T57 = - 13 - 16(57 - 1)
T57 = - 13 - 896
T57 = - 909
Answer:
x = 55
y = 45
Step-by-step explanation:
In similar triangles, the ratio between similar sides are the same. So,
AB/ED = BC/EF = AC/DF
Substitute values that they give
6/15 = 18/y = 22/x
Solve 6/15 = 18/y by cross-multiplying
6y = 15*18 = 324
Divide both sides by 6
y= 45
Solve 6/15 = 22/x by cross-multiplying.
6x = 22*15 = 330
Divide both sides by 6.
x = 55
Because there is some dispute between the answers, let's check the ratios.
6/15 = 18/45 = 22/55
0.4 = 0.4 = 0.4
True, x = 55 and y=45
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
