The dimensions of length can be measured using a ruler, and the angle measurement can be made with the use of a protractor
The dimensions (calculated) of the figure are:
Angles formed at each intersection;
Angle A is approximately 97.125°
Angle B is approximately 53.6°
Angle C is approximately 26.6°
Lengths of the straight sides;
Side AB is approximately 3.6
Side BC is 8
Side AC is approximately 6.7
Please find attached the screen grab of the image
The reason the above values are correct is as follows:
Question: The coordinates of the points A, B, and C, obtained from a similar question online are; A(3, 4), B(1, 1), and C(9, 1)
Please find attached the diagram of the tree paths that intersect at the points A, B, and C
The required parameter:
To measure and record the angle formed at each intersection
The angles can be measured using a protractor, however, by calculation, we have;
The length of AB = √((3 - 1)² + (4 - 1)²) = √13 ≈ 3.6
The length of BC = √((9 - 1)² + (1 - 1)²) = 8
The length of AC = √((9 - 3)² + (1 - 4)²) = √45 = 3·√5 ≈ 6.7
By cosine rule, we have;
Therefore, the angles formed at each intersection are;
Angle A ≈ 97.125°
Angle B ≈ 53.6°
Angle C ≈ 26.6°
The lengths of the straight side are;
Side AB ≈ 3.6
Side BC = 8
Side AC ≈ 6.7
Please find attached the image of the triangle ABC created with MS Excel
Learn more about finding the dimensions of triangle given the coordinates here:
to simplify the fraction you must first find the number that goes into both numbers, in which is 7;
So divide both the numerator and the denominator by 7;
35 ÷ 7 = 5
21 ÷ 7 = 3
So your final answer would be;
35/21 = 5/3 = 1 2/3 (in simplest form)
Answer:
44
Step-by-step explanation:
Answer:
the answer is 44
Step-by-step explanation:
Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
Answer:
10 + 8i.
Step-by-step explanation:
2i(4 – 5i) Distribute the 2i:
= 2i*4 + 2i * -5i
= 8i - 10i^2 Note i^2 = - 1 so we have:
8i - 10* -1
= 8i + 10
= 10 + 8i.