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2 years ago

He first five terms in the arithmetic sequence an = 8n, starting with n = 1.

2 answers:

7 0

8,16,24,32,40
All you have to do is replace the n in 8n with the sequance number you're looking for
like for instance:
8(1)=8
8(2)=16

GuDViN [60]2 years ago

5 0

$a_n=8n\\ \\a_1=8\cdot1=8\\a_2=8\cdot2=16\\a_3=8\cdot3=24\\a_4=8\cdot4=32\\a_5=8\cdot5=40$

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It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?

earnstyle [38]

It takes 42 minutes for 6 people to paint 7 walls

Solution:

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If $M_1$ men can do $W_1$ work in $D_1$ days working $H_1$ hours per day and $M_2$ men can do $W_2$ work in $D_2$ days working $H_2$ hours per day, then

$\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}$

M = Number of men

D = Number of days

H = Number of hours per day

W = Amount of work

Here in this sum,

54 minutes for 4 people to paint 6 walls

$H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls$

Minutes required for 6 people to paint 7 walls

$H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls$

Substituting the values in formula, we get

$\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42$

Thus it takes 42 minutes for 6 people to paint 7 walls

7 0

3 years ago

Factor polnomial 4p^2−16p+12

iVinArrow [24]

Answer:

4(p−1)(p−3)

Step-by-step explanation:

Factor 4p2−16p+12

4p2−16p+12

=4(p−1)(p−3)

7 0

2 years ago

Read 2 more answers

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 8 meters cubed. Yolanda found the volume

LenKa [72]

Answer:

Yolanda should have found the volume by multiplying 8 by 2/3.

Step-by-step explanation:

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3 years ago

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Question 1 of 10

andrey2020 [161]

c i think because they dont specify

8 0

2 years ago

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The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

2 years ago