AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
Answer:
read the question and you will find the like the question and just find it out The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours.
Temperature drops by 5°c per hour
So we find the temperature after 6 hours
In 1 hour temperature drops= 5°c
So in 6 hours = 6* 5 = 30°c
In 6 hours , temperature drops by 30°c
the actual temperature is 20°c. after 6 hours the temperature becomes
20°c - 30°c= -10°c
So, after 6 hours the temperature will be -10°c
Daryl plans to be gone for at least 6 hours. so its 6 hours or more than 6 hours
In 6 hours or more than 6 hours , the temperature will drop less than -10°c
Step-by-step explanation:
Step-by-step explanation:
Hey there!
Given equations are;
2x+3y = 15...............(i)
4x+6y = -48…………(ii)
From eqaution (i)
2x+3y = 15
Slope (m1) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-2)/(3)
<em>Therefore, slope (m1) = -2/3.</em>
From eqaution (ii).
4x+6y= -48
Slope (m1) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-4)/6
<em>Therefore, slope (m2) = -2/3.</em>
Now;
Condition of parallel lines: m1=m2
-2/3 = -2/3
So, they are parallel.
<em><u>Hope</u></em><em><u> </u></em><em><u>it </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
This problem can be solved by using the binomial distribution.
p = 30% = 0.3 is the probability that a teacher was laid off.
q = 1 -p = 0.7 is the probability that a teacher was not laid off.
n = 16 is the sample size.
r = 7 is the expected number of teachers who were laid off
The probability that 7 out of 16 teachers were laid off is
₁₆C₇ p⁷q⁽¹⁶⁻⁷⁾ = 11440*(0.3⁷)*(0.7⁹) = 0.101 =10.1%
Answer:
The probability is 0.101 or 10.1%
A=6a^2
A=6(5.5)^2
A=181.5
Hopefully I answered correctly.
