You are watching: Which set of shapes contains members that are always similar to one another?
Side BC = sqrt 80 or 8.94
Angle A = 48.19 degrees
Angle C = 41.81
Using the Pythagorean Theorem, we have the right to solve because that the absent side, BC:
a^2 + b^2 = c^2 (Substitute)
8^2 + b^2 = 12^2 (Simplify)
64 + b^2 = 144 (Subtract 64 from both sides)
b^2 = 80
b = sqrt (80)
b is about equal to 9 and also when rounded to the hundredths, the is equal to 8.94.
Now that we know the sides, we deserve to use trig relationships in between the political parties to find the angles:
sin A = (sqrt 80)/12 (Using the square root straight will result in specific invernessgangshow.nets | take it the inverse sine the both sides)
A = sin-1 ((sqrt 80)/12)
Angle A = 48.19 degrees (approximation to the nearest hundredth)
We know that B is a right angle, thus 90 degrees.
sin C = 8/12 (Take the station sine of both sides)
C = sin-1 (8/12)
Angle C = 41.81 degrees (approximation to the nearest hundredth)
9 months ago
Sherman has actually 3 cats and 3 dogs. He wants to buy a toy for each of his pets. Sherman has actually 32 dollars to invest on pets toys.
See more: What Does Sancho Mean In Spanish, What Does This Word Mean: Att:Tu Sancho
It depends exactly how much the cat and also dog toys cost
10 month ago
Find the arc size of the adhering to curve top top the offered interval. X equals 12 t minus 5 comma y equals 16 t add to 3 , 0 much less tha
We are given:
To uncover arc length, we will use the adhering to formula,
11 months ago
13. I beg your pardon equation represents the line below?
y = -2/3x + 3
First, we must calculate the slope of the line. We can do this by making use of the slope formula using two points:
(y₂ - y₁) / (x₂ - x₁)
If us take the clues (-3,5) and also (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3
Next, we have the right to substitute in values in the equation above to get (1 -5)/(3+3)
** We got 3+3 because it was 3 - (-3), where 2 negatives same a positive**
Then, we get, -4/6, i beg your pardon simplifies come -2/3. Our steep is -2/3
After that, we require to discover the y-intercept, i beg your pardon is whereby the line intercepts the y-axis. Here, that is in ~ (0,3).
Therefore, if we put the above information right into slope-intercept form:
y = mx + b --> m = -2/3; b = 3
y = -2/3x + 3
Though ns don"t think the invernessgangshow.net choice is there...
6 month ago
Read 2 much more invernessgangshow.nets
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