Answer:
1.8333
Step-by-step explanation:
7 divided by 3 is 3.5
half of 6 is 3 and you can't evenly divided 7 by 2 so you would say that
3.5
+ 3.5
__________
7
The average speed is 37 minutes
25 + 45 + 40 = 110
_____
3)110. 36.6
9
20
18
2
The solution to the given equation –2|u| = –68 is u = 34, -34.
<h3>What is the solution to the equation?</h3>
Given the equation in the question;
–2|u| = –68
To find u, divide both sides by -2
–2|u| = –68
(–2|u|)/2 = (–68)/-2
|u| = 34
Remove the absolute value term, this create ± on the right side of the equation. ( |x| = ±x )
u = ±34
Hence,
u = 34, -34
Therefore the solution to the given equation –2|u| = –68 is u = 34, -34.
Learn more about absolute values here: brainly.com/question/1301718
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Answer: 24 cm
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Explanation:
Let
P = area of triangle ABC
Q = area of triangle ACD
The two areas mentioned above are in ratio 1.5:1 which basically means
P = 1.5*k
Q = 1*k
for some value k
Notice how P/Q = (1.5k)/(1k) = 1.5 which proves that P:Q = 1.5:1
We can find the value of k by determining the area of triangle ABC
P = area of triangle ABC
P = (base)*(height)/2
P = 36*10/2
P = 360/2
P = 180
If P = 180, then
P = 1.5*k
1.5*k = 180
k = 180/1.5
k = 120
Telling us that
Q = 1*k
Q = 1*120
Q = 120
Q = area of triangle ACD
area of triangle ACD = 120
note how P/Q = 180/120 = 1.5 so P:Q = 1.5:1
We'll use this area to find the base of triangle ACD which is AD
Area of Triangle ACD = (base)*(height)/2
120 = AD*10/2
120*2 = AD*10
240 = AD*10
240/10 = AD
24 = AD
AD = 24
