She raised the price by $0.65
14.25 divided by 3 =
$4.75 ( normal price per candle)
27 divided by 5 =
$5.40 (new price per candle)
$5.40 - $4.75 = $0.65
Average = mean = sum of the values / number of data
Values = h, j, and k
Number of data = 3
Sum of the values = h + j + k
Mean = [h + j + k] / 3
=> Answer: option c. [h+j+k] over 3
Answer:
7
Step-by-step explanation:
(x,y)
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
Answer:
E. 0.759
Step-by-step explanation:
You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN
The sine of angle ∠LMN is 0.759, find the value of ∠LMN

∠LMN=49.38°
Find angle ∠LNM
You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence
∠LNM=180°-(90°+49.38°)
∠LNM= 180°-139.38°=40.62°
Find cos 40.62°
Cos 40.62°=0.7590