Answer:
chance
Step-by-step explanation:
Each time you roll a die, you have a chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are
.
Hope this helped!
The quotient is -16.4
Apply the fraction rule:
Divide the numbers:
The quotient rule is a calculus technique for determining the derivative or differentiation of a function that is represented as a division or ratio of two differentiable functions.
Therefore, we can apply the quotient method to get the derivative of a function of the form f(x)/g(x), where f(x) and g(x) are both differentiable functions and g(x) ≠ 0. The quotient rule immediately follows the product rule and the notion of limits of derivation in differentiation.
Learn more about quotient rule brainly.com/question/15568137
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Answer:
41°
Step-by-step explanation:
I could not think of an easy way to solve this, apart from having a graphing calculator do it. In the end, I found I could solve it analytically using a combination of the law of sines and the law of cosines.
Let x represent the length of the shortest side, and θ the smallest angle. Then the <em>law of sines</em> tells you ...
sin(θ)/x = sin(2θ)/(x+2)
Cross-multiplying and using the trig identity for sin(2θ), we have ...
(x +2)sin(θ) = 2x·sin(θ)cos(θ)
Dividing out sin(θ), we see that ...
cos(θ) = (x+2)/(2x)
___
The law of cosines for the shortest side and smallest angle tells you ...
x^2 = (x+1)^2 + (x+2)^2 - 2(x+1)(x+2)·cos(θ)
Substituting the above expression for cos(θ), this can be rewritten as ...
0 = (x^2 +2x +1) +(x^2 +4x +4) -x^2 -(x+1)(x+2)^2/x
0 = x^2 +6x +5 -(x+1)(x+2)^2/x . . . . . . collect terms outside the fraction
0 = x(x+5)(x+1) -(x+1)(x+2)^2 . . . . . . . . factor and multiply by x
We know that x=-1 is not a solution, so we can divide by that factor:
0 = x^2 +5x -(x^2 +4x +4) . . . . . multiply it all out
0 = x -4 . . . . . . . . . . . . . . . . . . . . collect terms
4 = x
so, cos(θ) = (4+2)/(2·4) = 6/8 = 3/4
and the angle of interest is ...
θ = arccos(3/4) ≈ 41.40962° ≈ 41°
_____
The attachment shows a triangle-solver's result using the consecutive integers for side lengths. It confirms the answer we have here.
Incomplete Question the Complete Question with figure is below.
Answer:
The correct option is C . 48°
Therefore,
measure angle U is 48°.
Step-by-step explanation:
Given:
ΔEFG ~ ΔTUV
∠ F = 48°
To Find:
measure angle U = ?
Solution:
When the two Triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as
For, ΔEFG ~ ΔTUV
E ↔ T
F ↔ U
G ↔ V
Also Corresponding angles of Similar Triangles are Congruent.
Therefore
∠F ≅ ∠U Corresponding angles of Similar Triangles are Congruent.
But ∠ F = 48° ......Given
∴ ∠U = 48° ...........Transitive Property
Therefore,
measure angle U is 48°.
