Answer:
The answer to your question is the letter D) 46°
Step-by-step explanation:
Data
length = 25 ft
Opposite side = 18 ft
Angle = Ф
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
Sin Ф = Opposite side / hypotenuse
-Substitution
sin Ф = 18/25
-Simplification
sin Ф = 0.72
-Result
sin⁻¹ Ф = 0.72 = 46°
Answer:
1.1
Step-by-step explanation:
Find the mean of the data:(3+4+5+5+5+6+6+6+7+8)/10 = 5.5Step 2: Find the difference between each data and mean:Difference between 3 and 5.5 is 2.5Difference between 4 and 5.5 is 1.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 7 and 5.5 is 1.5Difference between 8 and 5.5 is 2.5Step 3: Add all the differences:2.5+1.5+0.5+0.5+0.5+0.5+0.5+0.5+1.5+2.5 = 11Step 4: Divide it by the number of data:11/10 = 1.1So, the MAD = 1.1
For every 6 dumplings bought, you get charged $3.00 plus 7 cents for every dollar. Hope this helps:)
There are three different choices for the American.
There are 16 different choices for the first non-American and 15 different choices for the other non-American.
So, there are 3 x 16 x 15 different groups.
But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).
Thus, there are 6 x 3 x 16 x 15 different results.
Answer:
D. 8
Step-by-step explanation:
y varies jointly as x and z
y = k(xz)
-------------------------
Find k, the constant of variation
y = 12 when x = -2 and z=3
12 = k(-2 * 3)
12 = k(-6)
k = -2
-------------------------
find y when x is 4 and z is -1
using k = -2
y = -2(4 * -1)
y = -2(-4)
y = 8