Answer:
P' (- 7, - 5 )
Step-by-step explanation:
A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus
P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(- 7, 5 ) → P'(- 7, - 5 )
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
15² = 9² + h²
225 = 81 + h²
h² = 225 - 81 = 144
h = √144 = 12 feet
Answer:
C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.
Step-by-step explanation:
Mean Absolute Deviation is one of the Statistical measures which we can you to determine the variation that exist amongst a given set of data
Mean Absolute Deviation can be defined as how far or the distance between one set of data to another set of data.
The smaller the Mean Standard Deviation, the lower the degree of variation in the set of data. The data is less spread out
The larger the Mean Standard Deviation, the higher the degree of variation in the set of data. The data is Largely spread out
We are told in the question that:
Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. Our conclusion would be that Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.
Option 2 is correct.
SOLUTION:
Height of tree = 8.194 metres
Height of tree = 8.2 metres ( to the nearest tenth of a metre )
Therefore, the answer is:
The height of the tree is 8.2 metres when rounded to the nearest tenth of a metre.
Hope this helps! :)
Have a lovely day! <3
Answer:
23
Step-by-step explanation:
So you want to add 7x degrees and (x-4) degrees. And it will be 8x - 4 = 180 degrees because it's 180 degrees in a straight line. And you want to + the 180 by 4 because there is -4 on the other side. so it will be 8x = 184 and you just divide 184 by 8 and it will be 23 easy. if you want to my help again you can text me on instargram jason_lee093
