Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows at the same time create therefore two similar right-angled triangular
triangles.
that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.
so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.
therefore,
1.57 × f = 50.5
f = 50.5 / 1.57 = 32.1656051...
the height of the tower is then
3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m
Answer:
PO = 20
Step-by-step explanation:
They are equidistant from the centre
PG = GO
x-4=1/2x+3
Multiplying both sides by 2
2(x-4)=x+6
2x-8=x+6
2x-x = 6+8
x = 14
Now
PO = 14-4+7+3
PO = 10+10
PO = 20
I'll treat these like they're two seperate problems because how you set it up they're not together. If it's one whole problem please tell me and I'll solve it that way. :-)
First one: 3x+9+8x + 12
Collect like terms and simplify
(3x+8x)+(9+12)
11x+21
Second one: 2x + 6+x² + 6x + 9
Collect like terms and simplify

8x+15+
Hope this helps you, have a BLESSED and wonderful day, as well as a safe one!
-Cutiepatutie ☺❀❤
Hi!
<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>
27/3 = 9
9/3 = 3
3/3 = 1
<u>3 · 3 · 3 = 27</u>
<h2>The answer is C. 3 · 3 · 3</h2>
Hope this helps! :)
-Peredhel