If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ
er to the nearest hundredth. triangles ABC and ADC in which angle C is a right angle, point D is on segment BC between points B and C, the measure of angle ABD is x degrees, and the measure of angle ADC is y degrees 0.74 units 1.17 units 1.64 units 2.14 units
1 answer:
Answer:
1.17 units
Step-by-step explanation:
Given :
If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD?
x= 45° ; y = 63° AC = 4 units
From trigonometry,
Taking triangle ADC;
sinθ = opposite / Hypotenus
Sin63° = 4 / AD
AD = 4 / 0.891 = 4.489 units
From triangle ABC;
sin45° = 4 / AB
AB = 4 / 0.7071
AB = 5.656 units
Difference = (5.657 - 4.489) units
= 1.167 units
= 1.17 units (nearest hundredth)
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Answer:
a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.
Step-by-step explanation:
a) To approximate this distribution we have to calculate the mean and the standard distribution.
The mean is the proportion p=0.85.
The standard deviation can be calculates as:
To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:
The probability for this value of z is
The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:
To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:
The probability for this value of z is
The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.
Answer:
Step-by-step explanation:
- Option A
tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
- Option B
tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
- Option C
tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
- Option D
is an expression; It can't be called an equation or an inequality unless we relate it with another expression.