Answer:
150 in^3
Step-by-step explanation:
5 * 15 * 2 = 150
So the difference between 45 and 10 is..
35 (omygad)
You have to divide 35/5 to get the average drop in the temperature PER HOUR, meaning 7 degrees per hour.
Area of a rectangular lawn = l×b
255=15×x
Hence the breadth is 17 m
Hence perimeter =2(l+b)=2(15+17)=64
Answer:
Bryce is wrong in step 1 because he did not distribute 3 over 5/3
Explanation
Given the steps taken by bryce as shown, we are to find where he made an error
![\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}](https://tex.z-dn.net/?f=%5Cqquad%5Cbegin%7Baligned%7D%20%5Cdfrac83%26%3D3%5Cleft%28c%2B%5Cdfrac53%5Cright%29%5C%5C%5C%5C%20%5C%5C%20%5Cdfrac83%26%3D3c%2B%5Cdfrac53%26%5Cgreen%7B%5Ctext%7BStep%20%7D%201%7D%5C%5C%5C%5C%20%5C%5C%201%26%3D3c%26%5Cblue%7B%5Ctext%7BStep%20%7D%202%7D%5C%5C%5C%5C%20%5C%5C%20%5Cdfrac13%26%3Dc%26%5Cpurple%7B%5Ctext%7BStep%20%7D%203%7D%5C%5C%5C%5C%20%5Cend%7Baligned%7D)
Given the expression;
![\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\](https://tex.z-dn.net/?f=%5Cdfrac83%26%3D3%5Cleft%28c%2B%5Cdfrac53%5Cright%29%5C%5C%5C%5C%20%5C%5C)
Step 1:Expand the bracket using the distributive law;
8/3 = 3c + 3(5/3)
<em>Simplify</em>
8/3 = 3c + 15/3
Step 2: Subtract 15/3 from both sides
8/3 - 15/3 = 3c+15/3-15/3
(8-15)/3 = 3c
-7/3 = 3c
Step 3: Multiply both sides by 1/3
-7/3 * 1/3 = 3c * 1/3
-7/9 = c
Swap
c = -7/9
From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.