Answer:
d = 6.1m
n = 7km
Step-by-step explanation:
To find the variables, use tan
⇒ tan = 
finding d:
⇒tan 63 = 
tan of 63 is 1.963
⇒ 1.963 =
multiply 3.1 on both sides
⇒ 1.963 x 3.1 = x 3.1
⇒ 6.0853 = d
round to the nearest tenth:
⇒ 6.0853 = 6.1
finding n:
⇒ tan 45 = 
tan of 45 is 1
⇒ 1 =
multiply 7 on both sides:
⇒ 1 x 7 = x 7
7 = n
X² + y² = 225
x - 7y = -75
x = 7y - 75
x² + y² = 225
(7y-75)² + y² = 225
(7y - 75)(7y - 75) + y² = 225
49y² - 525y - 525y + 5625 + y² = 225
50y² - 1050y + 5400 = 0
50(y² - 21y + 108) = 0
y² - 21y + 108 ⇒ (y - 12)(y - 9)
x = 7(12) - 75
x = 84 - 75
x = 9 ⇒ (9,12)
x = 7(9) - 75
x = 63 - 75
x = -12 ⇒ (-12,9)
Answer:
38 candies.
Step-by-step explanation:
Given the following data;
Total number of candy = 874
Total number of children = 23
Since we know that they are all sharing it equally, each child would get;
Each child = 874/23
Each child = 38 candies.
Answer:
D.
Step-by-step explanation:
Answer:
The coordinates of H′ are (-2,0).
Step-by-step explanation:
It is given that square EFGH stretches vertically by a factor of 2.5 with respect to the x-axis to create rectangle E′F′G′H′.
If a figure stretches vertically by a factor of 2.5 with respect to the x-axis, then the x-coordinates remains same and the points which lie on the axis are also remains the same after stretch.
It is given that the coordinates of H are (-2,0). This point lie on the x-axis, therefore it will remains the same after stretch.
Therefore the coordinates of H′ are (-2,0).
