Answer:
2.3 units
Step-by-step explanation:
The unknown side is opposite the given angle 50 degrees, and the length of the hypotenuse is 3 units.
Since sin Ф = opp / hyp, we have here sin 50° = x/3, or x = 3 sin 50°.
Using a calculator, we find that the sine of 50° is 0.776.
Therefore, x = 3(0.766) = 2.298 units, or approximately 2.3 units
Answer:
Option B
Step-by-step explanation:
Let the point O is the origin.
Then the coordinates of the vertices A,B and C will be,
A → (-12, -8)
B → (-8, 0)
C → (-6, -4)
Rule for the dilation of a point (x, y) by scale factor 'k' about the origin is,
(x, y) → (kx, ky)
By this rule, coordinates of the vertices of the image triangle will be,
If k =
,
A(-12, -8) → A'(-6, -4)
B(-8, 0) → B'(-4, 0)
C(-6, -4) → C'(-3, -2)
From the given options,
Option B is the answer.
Answer:
-17
Step-by-step explanation:
The expanded form of the equation is x^4-24x^3+222x^2-240+960
<h3>Expansion of expression</h3>
Given the expression below;
(x-3)(x-5)(x-7)(x-9)+15
Expand
(x-3)(x-5)(x-7)(x-9) + 15
(x^2-5x-3x+15)(x^2-9x-7x+63) +15
(x^2-8x+15)(x^2-16x+63) + 15
Expand further to have;
x^4-16x^3+63x^2-8x^3+144x^2-504+15x^2-240x+945+15
x^4-24x^3+222x^2-240+960
Hence the expanded form of the equation is x^4-24x^3+222x^2-240+960
Learn more on expansion here: brainly.com/question/29114
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The total number of ways by words are formed is 35 ways.
According to the statement
We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.
And we have to find the possible ways.
So, The given words are:
TEXAS and MEXICO
Here X = 2 and E = 2 and all other words are one time used words.
We can find possible ways by use of combination and permutation.
So,
Total number of ways = 
here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.
So,
Total number of ways = 
Total number of ways = 
Total number of ways = 
Total number of ways = 15 + 20
Total number of ways = 35.
So, The total number of ways by letters are formed is 35 ways.
Learn more about combination and permutation here
brainly.com/question/11732255
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