Please help me due ASAP

Mathematics

1 answer:

Nady [450]2 years ago

3 0

A) supplementary angles
B) corresponding angles
C) supplementary angles
D) alternative interior angles
E) vertical angles
F) alternative interior angles
G) corresponding angles
H) alternative interior angles
I) vertical angles
J) alternative interior angles
K) alternative interior angles
L) corresponding angles
M) supplementary angles
N) Alternative interior angles
O) vertical
i think those are correct if not i’m sorry but i’m pretty sure !! :)

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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,

maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles: $40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2$

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

$A(n)=40\cdot1.5^{2(n-1)}$

We want to determine which triangle has an area greater than $15000cm^2$ .

When A(n)=15000

$40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31$

Therefore, the 9th triangle has an area greater than $15000cm^2$ .

5 0

3 years ago

Please help. URGENT. THANK YOU

adelina 88 [10]

Answer:

Step-by-step explanation:

The maximum value of the sin function is at $\dfrac{\pi}{2}$ , when sin is equal to 1. Since you need to multiply pi/12 by 6 to get to pi/2, the maximum amount of people will be at the square after 6 hours. Hope this helps!