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Eddi Din [679]
3 years ago
12

Simplify,write equivalent expressions. 1/6(15a+20b)

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0
1/6* (15a+20b)
= 1/6* 15a + 1/6* 20b (Distributive property)
= 2.5a + 10/3*b

The final answer is 2.5a+ 10/3b

Hope this helps~
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What is the volume of the right triangular prism? Round to the nearest tenth.
Tatiana [17]

Answer:

613.8 meters cubed

Step-by-step explanation:

6.2x11x9=exactly 613.8 meters cubed

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Let ABCD be a parallelogram such that AB = 10 , BC = 14, and Angle A = 45. Find the area of the parallelogram. Please do not ans
Semenov [28]

Answer:

70√2  units²

Step-by-step explanation:

(see attached for reference notes on parallelograms)

we are given ABCD is a parallelogram where

Short Length, AB = 10 units

Long Length, BC = 14 units

Angle A = 45°

The area of the parallelogram is hence,  

= AB x BC sin 45°

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= 140 sin 45°    (recall from special angles, that sin 45° = 1/√2)

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= (140/√2) x (√2/√2)

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4 years ago
What are the solutions of the inequality? Check the solutions. 4x + 6 < –6
topjm [15]
4x+6<-6
4x<-6-6
4x<-12
x<-12/4
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Round 47.44 to 1 decimal place
MariettaO [177]

Answer:

47.4 is the correct answer.

Step-by-step explanation:

Helpful?❤️

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Need help on the blanks. Pretty lost atm
nlexa [21]

Answer:

  • -108.26
  • -108.13
  • -108.052
  • -108.026
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Step-by-step explanation:

A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.

The average velocity on the interval [a,b] will be ...

  v avg = (y(b) - y(a))/(b-a)

Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...

  v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t

This can be computed for each of the t-values given. The results are shown in the attached table.

__

We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.

The estimated instantaneous velocity is -108 ft/s.

_____

We can simplify the average velocity equation to ...

  v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t

  = (48t -26(t^2 +6t))/t

  = 48 -26t -156

<em>   v avg = -108 -26t</em>

Then the average velocity at t=0 is -108.

5 0
4 years ago
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