150 seconds/0.6 miles divide both by 2.5
60 seconds/.24miles
24/100 divide both by 4
6/25 miles per minute
THEREFORE 2) is the answer
<span>Step 1: 1.125 = 1 125⁄1000</span><span> </span>
<span>Step 2: Simplify 1 125⁄1000 = 1 1⁄8</span><span> </span>
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Hey!
Let's solve this together.
5x+1 = 1+x2
Possible Answers: {5,4,3,2}
Lets start with 5.
5(5)+1 = 1+2(5)***
25+1 = 1+10
26 ≠ 11
So, 5 is NOT the answer.
Now, 4.
5(4)+1 = 1+(4)2
20+1 = 1+8
21 ≠ 9
So, 4 is NOT the answer.
Now, 3.
5(3)+1 = 1+(3)2
15+1 = 1+6
16 ≠ 7
So, 3 is NOT the answer.
Lastly, 2.
5(2)+1 = 1+(2)2
10+1 = 1+4
11 ≠ 5
So, 2 is NOT an answer.
So, the answer is: None of the above. None of them can be answers because none of them make the statement true.
***(In algebra, we start using parenthesis instead of the dot for multiplication when using numbers.)
Hope this helps!
<h2><em>
~~PicklePoppers~~</em></h2>
We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
Answer:
11) x = 11
12) x = 11
Step-by-step explanation:
11) Δ RQP and Δ RLK are similar.
Hence, the ratios of the corresponding sides of the two triangles will be constant.
So, ![\frac{RK}{PR} = \frac{RL}{QR}](https://tex.z-dn.net/?f=%5Cfrac%7BRK%7D%7BPR%7D%20%3D%20%5Cfrac%7BRL%7D%7BQR%7D)
⇒ ![\frac{x - 4}{49} = \frac{11}{77}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%204%7D%7B49%7D%20%3D%20%5Cfrac%7B11%7D%7B77%7D)
⇒ ![\frac{x - 4}{49} = \frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%204%7D%7B49%7D%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
⇒ x - 4 = 7
⇒ x = 11 (Answer)
12) Δ QRS and Δ QDC are similar.
So, ![\frac{QD}{QR} = \frac{QC}{QS}](https://tex.z-dn.net/?f=%5Cfrac%7BQD%7D%7BQR%7D%20%3D%20%5Cfrac%7BQC%7D%7BQS%7D)
⇒ ![\frac{2x - 14}{32} = \frac{6}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20-%2014%7D%7B32%7D%20%3D%20%5Cfrac%7B6%7D%7B24%7D)
⇒ 2x - 14 = 8
⇒ 2x = 22
⇒ x = 11 (Answer)