The area of △XYZ according to the figure is 363ft²
<h3>Area of triangles</h3>
The formula for calculating the area of a triangle is expressed as:
A = 0.5bh
- b is the base
- h is the height
<h3>Calculate area of each triangles</h3>
For the triangle △NMO
Area of △NMO = 0.5bh
147 = 0.5b(14/12)
147 = 7b/12
7b = 12 * 147
b = 252
b = 252ft
b = 3024in
Get the base of △XYZ
14/3024 = 22/XZ
XZ = 4,752in
Area of △XYZ = 0.5 (4,752)(22)
Area of △XYZ= 52,272in²
Area of △XYZ = 363ft²
Hence the area of △XYZ is 363ft²
Learn more on area of triangles here: brainly.com/question/17335144
Midpoint Formula: (

,

)
Midpoint = (

,

)
Midpoint = (

,

)
Midpoint = (

, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (

, -4).
Have a nice day! ♪
Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
___
The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.
Answer:
11 (if you wanna know how many cups [which i mean by 2/3] it is 1)
Step-by-step explanation:
Well, to start, a cook has 11 7/8 cups of flour, right? Well, if you subtract 11 7/8 by 2/3 you get 11 5/24. As an estimate, you would get just plain 11 because there is three numbers when you estimate, 11, 11 1/2, or 12. 11 5/24 is more closer to 11 (because 1/2 would be 11 12/24, and 12 would be 11 13/24 or more until 12)
Hope it helped...
Answer:
(0,-9)
Step-by-step explanation:
The image of a point
over a line
is given by the co-ordinate rule:
→ 
So, when we reflect a point over the line
, the x co-ordinate and y co-ordinate change their places.
Here,
is
. So, from the above rule, after reflection over the line
, the image has the following co-ordinates:
