The value of u is 2 in the given right-angled triangle.
The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as and v.
We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.
<h3>What is Pythagoras theorem?</h3>
It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In a right-angled triangle ABC, if
BC = hypotenuse
AC and AB are the other two sides then,
.
For this problem, we can find the value of u by using trigonometric identities.
From the figure, we have an angle of 45°.
Consider Cos 45°.
Cos Ф = base / hypotenuse
Cos 45° = / u ...........(1)
From trigonometric identities of cosine.
We have,
Cos 45° = 1 / ............(2)
From (1) and (2)
We get,
1 / = / u
u = 2.
Thus the value of u is 2 in the given right-angled triangle.
Learn more about Pythagoras's theorem application here:
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The answer would be A. 3. This is because you set both measurements equal.
(4x+9)=21
-9. -9
4x=12
X=3
Hi there!
The question here is asking us to multiply two functions together - j(x) and k(x). First, we need to determine the expressions for j(x) and k(x). Since this is given, we can move straight onto multiplying the two functions together, which will give us our answer.
j(x) × k(x)
Substitute expressions -
(x⁴ - 81)(x + 3)
Simplify -
(x⁴ - 81)(x + 3)
x⁵ + 3x⁴ - 81x - 243
Therefore, the answer is x⁵ + 3x⁴ - 81x - 243. Hope this helped!
Answer:
$(8967/n + 8.4)
Step-by-step explanation:
0.4nx + 0.6n(x+21) = 8967
nx + 12.6n = 8967
x = 8967/n - 12.6
x+21 = 8967/n + 8.4
Where n is the no. of balls
Example: if total balls were 300
n = 300
More expensive one would cost:
8967/300 + 8.4 = $38.29
Answer:
D
Step-by-step explanation:
lines are parallel, cut by transversal, so:
x=29° (alternate interior angles)
in a parallelogram, opposite angles are congruent, so:
z=119°
therefore, y=32° since D is the only option where x=29° and z=119°