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nevsk [136]
2 years ago
8

PLEASE HELP!!

Mathematics
1 answer:
jonny [76]2 years ago
7 0

Answer:

  • A. f(n) = (n + 1)^2 – 1

Step-by-step explanation:

Figure 1

  • 3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1

Figure 2

  • 8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1

Figure 3

  • 15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1

<u>The function is:</u>

  • f(n) = (n + 1)² - 1
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You have a 12 foot ladder and need to reach exactly 9 feet up the wall. How far away from the wall should you place the ladder s
dusya [7]
Pythagorean thoerem
we imagine the wall as a leg of a right triangle, the ladder is the hypotonuse and the distance from the bottom of the ladder to the wall is the other leg

so if we have a right triangle with leg length a and b and hypotnuse length c then
a²+b²=c²

so
given that one of the legs is 9ft (9 ft is the height of the triangle)
and the hypotnuse is 12 ft (length of ladder)
then say the last leg is x

so
x²+9²=12²
x²+81=144
mius 81 both sides
x²=63
sqrt both sides
x=√63
x=3√7

you should place it 3√7ft or about 7.9 or 8ft away

4 0
3 years ago
Please help if you know trigonometry ;)
seraphim [82]

Answer:

12.73m

Step-by-step explanation:

using Pythagoras theorem

a = x (i change x to a for easy reference due to multiplication)

18 x 18 = a x a + a x a

324 = 2a^2

a^2 = 324 / 2= 162

a = \sqrt{162} = 12.7279 = 12.73 (2 decimal place)

8 0
3 years ago
Read 2 more answers
10.
mixer [17]

Answer:

D. Isosceles triangle

Step-by-step explanation: Triangles have 180 degrees. To figure out this question you have to find the measure of the last angle. 70+55=125. 180-125=55. So the angles are 70, 55, 55. In an isosceles triangle two sides are equal. Because we know that two angles in the triangle are equal we then know that two sides of the triangle are also equal. Hope this helped :)

5 0
3 years ago
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden with edging that costs $0.75 per foot. About ho
OverLord2011 [107]

Answer:

$2.25 is answer

perimeter of circular garden=2πr=2×π×1.5=3πfeet

1 foot=$0.75

3πfeet=3×$0.75=$2.25

3 0
2 years ago
How do you simplify 12 + 15 ÷ 3 × 6 – 4 step by step?
tatuchka [14]
Seperate the questions 12+15=25 ÷ by 3×6= 18-4= the answer
6 0
2 years ago
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