Answer:
r = 
Step-by-step explanation:
The common ratio r is calculated as
r = 
= 
= 
=
Answer: A: Whole Number B:Integer and C: Rational are all correct.
For the question: In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). Match each pair of coordinates to the corresponding point on AB.
Answer:The coordinates of the point are (6 , 5).
For the question: Imani and Abedi drive to work. Imani drives 66 miles in 1.5 hours. Abedi drives 56 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answer:25.6 km/h
I couldn't help you on all of them, but I helped you on some. Hope this helps :D
Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
Answer:
The values of x = 12 and y = 8.
Step-by-step explanation:
From the given figure ,
ΔMTW≅ΔBGK
That is, these two triangles are congruent.
If two triangles are congruent , all the corresponding angles and corresponding sides are equal.
Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.
Therefore , ∠MTW = ∠BGK
(4x - 3)° = 45°
4x = 48°
x = 12
Since ∠MTW = 45° ,
∠TMW = 180 - (41 +45)
= 180 - 86
=94°
From congruency ,
∠TMW = ∠GBK
94° = 11y + 6
11y = 88°
y = 8
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
