This is a Pythagorean theorem problem. the ladder is 12 from the building and needs to teach 14 ft up. the length of the ladder it's the hypotenuse
12²+14²=c²
144+196=c²
340=c²
c=√340 or about 18.5 ft
Answer:
-x^2+4x+6
Step-by-step explanation:
f(x) = 4x+1
g(x) = x^2 - 5
(f-g) (x) = 4x+1 - ( x^2 - 5)
Distribute the minus sign
= 4x+1 - x^2 +5
Combine like terms
= -x^2+4x+6
Answer:
See explanation
Step-by-step explanation:
Given

Required
Support the jeweler's conclusion
From the question, we have that:

per box
So, he bought a total of:


<em>Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads</em>
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Refer to the diagram shown below.
The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).
The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore

Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m
Answer: 141 m (nearest meter)