9514 1404 393
Answer:
100 m
Step-by-step explanation:
One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...
A = 180° -110°20' -13°20' = 56°20'
The law of sines can be used to find the length of side AB:
AB/sin(C) = BC/sin(A)
AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)
AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m
The distance AB across the river is about 100 m.
The answer for this question is choice c. Memorization is not a good way to truly understand math. You want to understand the reasoning behind your answers always.
A math expert is what you should strive to be! The first two choices are great ways to become this.
Equation of required line is:
Step-by-step explanation:
First of all we will convert both equations in slope-intercept form
Subtracting 5x from both sides
Subtracting 9 from both sides
The y-intercept is -9.
Other equation is:
Adding 3x on both sides
Dividing both sides by 4
As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal
Slope-intercept form of line is:
Putting values of b and m
Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
#LearnwithBrainly
Answer:
Upper Control Limit for a c-chart = 9.1
Step-by-step explanation:
Given - construction company has just constructed 150 new apartments. An external inspector is hired to do the final checking before they are given way to prospective customers. Inspector at random selects 8 apartments and and counts how many defects are in each one them. He finds 7,3, 2, 1, 2, 5, 4, 4 defects.
To find - What will be Upper Control Limit for a C chart ?
Proof -
Upper Control Limit for a c-chart = c bar + 3(square root of c bar)
Now,
c bar = = 3.5
∴ we get
Upper Control Limit for a c-chart = 3.5 + 3(square root of 3.5)
= 3.5 + (1.87)
= 3.5 + 5.61
= 9.1
⇒Upper Control Limit for a c-chart = 9.1