Answer:
a = 8 m
Step-by-step explanation:
Since, given is an isosceles right triangle.
So, by Pythagoras theorem:
The sum of the measures of two complementary angles exceeds the difference of their measures by72°. Find measure of the smaller
1 answer:
You might be interested in
The two quadrilaterals are similar. Which means the ratios of respective sides of two quadrilaterals will be the same.
So, for the given quadrilaterals, ratio of sides JF and TF of quadrilateral RJFT will be equal to the ratio of sides YP and AP of quadrilateral SYPA. Mathematically, we can write:
So the measure of TF will be 96mm
So, for the given quadrilaterals, ratio of sides JF and TF of quadrilateral RJFT will be equal to the ratio of sides YP and AP of quadrilateral SYPA. Mathematically, we can write:
So the measure of TF will be 96mm
Answer and explanation:
Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :
Strength Strength
High Low
High conductivity 74 8
Low conductivity 15 3
To find :
a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high
The favorable outcome is 74
The probability is given by,
b) If a stand is randomly selected, the probability that its conductivity is low or strength is low
Conductivity is low A= 15+3=18
Strength is low B= 8+3=11
Conductivity is low and strength is low
Probability is given by,
c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?
Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.
Answer:
Step-by-step explanation:
Instead of using the standard form, we can use the vertex form of a quadratic equation:
Where a is the leading coefficient, and (h, k) is our vertex.
Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:
Now, we need to determine a.
We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:
Solve for a. Subtract within the parentheses:
Add 4 to both sides:
Square:
Solve:
Thererfore, the value of a is 4.
So, our function is:
Now, let’s find our roots. Set the equation to 0 and solve for x:
So, our roots are 1 and 3.
The greater root is 3 and the lesser root is 1.
Therefore, m-n, where m>n, is 3-1 or 2.
Our final answer is 2.