Answer:
62
Step-by-step explanation:
step 1: find the height of half the yellow coloured triangle (right angled triangle). <em><u>remember that the angle formed </u></em><em><u>at </u></em><em><u>the </u></em><em><u>center</u></em><em><u> </u></em><em><u>is always 36° for a pentagon.</u></em>
tan36° = opposite/ adjacent
tan36° = 3/h (h for height)
h × ( tan36°) = 3
h = 3 / tan36°
h = 4.13
step 2: calculate area of the right angled triangle
Area = 1/2 × b × h
= 1/2 × 3 × 4.13
= 6.195
step 3: calculate the area of a Pentagon
a Pentagon can be divided into <u>ten</u> right angled
triangle
6.195 × 10
total area = 61.95
rounded off = 62
Answer:
(-14,-4)
Step-by-step explanation:
Given the pre-image A=(-7,-2)
If A is dilated with a scale factor of 2
Then the image of A,
A' = (-7,-2) X 2
We multiply each coordinate point by 2
=(-7*2,-2*2)=(-14,-4)
Therefore, the point A' would be: (-14,-4)
The formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D
<h3>Equation</h3>
- Number of tires needed by each car = 4
- Number of spare tires needed by each car = 1
Total tires needed by each car = 4 + 1
= 5
- Number of cars produced per day = c
Total number of tires, t needed for c cars.
Number of tires needed, t = Total tires needed by each car × Number of cars produced per day
t = 5 × c
t = 5c
For instance,
if 5 cars are produced per day
Number of tires needed, t = Total tires needed by each car × Number of cars produced per day
t = 5c
= 5 × 5
t = 25 tires
Therefore, the formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D
Learn more about equation:
brainly.com/question/2972832
#SPJ1
Answer:
122.6 m
Step-by-step explanation:
Shadow cast by the man = 3.1 m
Height of the man = 1.9 m
Shadow cast by the lighthouse = 200 m
Height of the lighthouse = x
If two shapes are similar, the ratio of their corresponding sides would be equal.
Therefore,
x/1.9 = 200/3.1
Multiply both sides by 1.9
x = (200*1.9)/3.1
x = 122.6 m (nearest tenth)
The lighthouse is 122.6 m tall