Answer:
The largest side of given triangle is: AB
Step-by-step explanation:
In order to find the largest side, we have to find all the triangles first.
The two angles at point A will sum up to 180° as the angles on the straight line are supplementary.
So,
∠A = 44°
∠C = 71°
The sum of interior angles of a triangle is 180°
Using this:
∠A+∠B+∠C = 180°
44°+∠B+71° = 180°
∠B+115° = 180°
∠B = 180°-115°
∠B = 65°
In a triangle, the side opposite to the largest angle is the largest. In the given triangle, ∠C is the largest so the side AB which is opposite to ∠C is the largest.
Hence,
The largest side of given triangle is: AB
Answer:
The number is 3000
Step-by-step explanation:
Is means equals
24 = 4/5 % *n
Lets change the percent to a decimal. To change percent, we move the decimal to places to the left.
4/5= .8
4/5 % = .8% = .008
24 = .008 *n
Divide each side by .008
24/.008 = .008n/.008
3000 = n
Answer:
The standard deviation will remain unchanged.
Step-by-step explanation:
Given
Solving (a): The range
This is calculated as:
Where:
So:
Solving (b): The variance
First, we calculate the mean
The variance is calculated as:
So, we have:
![\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B1%7D%7B6-1%7D%2A%5B%28136%20-%20135%29%5E2%20%2B%28129%20-%20135%29%5E2%20%2B%28141%20-%20135%29%5E2%20%2B%28139%20-%20135%29%5E2%20%2B%28138%20-%20135%29%5E2%20%2B%28127%20-%20135%29%5E2%5D)
![\sigma^2 =\frac{1}{5}*[162]](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B1%7D%7B5%7D%2A%5B162%5D)
Solving (c): The standard deviation
This is calculated as:
--- approximately
Solving (d): With the stated condition, the standard deviation will remain unchanged.
Answer:
300 paper clips in one box
300 multiply to 10 box =3,000 paper clips
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
