Answer:
65.56°
Step-by-step explanation:
= We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = 220 feet = Height of the building
Adjacent = 100 feet = Length of the shadow
Hence,
tan θ = 220/100
tan θ = 2.2
= arctan(2.2)
= 65.55604522°
Approximately = 65.56°
192 possible plain sandwiches can be made because you would do 4x6x8 which equals 192.
Attached is your solution: simply set up the box as shown, then find the product of each in individual square in the box. The solution is the sum of the products... Note that when multiplying two binomials, you'll have like terms on one diagonal.
Hope this helps.. let me know if you have questions.
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
The second area was translated 1 unit right and 6 units down to form the third exhibit area.
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.
Translation is the movement of a point either up, down, left or right.
Given the translation (x,y)→(x+1,y+6). Hence:
The second area was translated 1 unit right and 6 units down to form the third exhibit area.
Find out more on Transformation at: brainly.com/question/1462871
