Answer:
Step-by-step explanation:
As for the angles of both triangles; they’re the same. The sides are 1:2.
I’m giving you formulas that are labeled: side a shortest
” b mid length
” c hypotenuse
angle α(alpha) opposite side a
” β(beta) ” ” b
” γ(gamma) ” ” c
A major formula for rt triangles is: a^2+b^2=c^2.
*Another is: a/sinα=b/sinβ=c/sinγ.
Remember α+β+γ=180°.
As for sides a&b use the above formula.
As for <ACB; the angle is γ which is a rt <.
Given: tan<x=5/2+1/2=6/2=3atan=71.565……….°=β. So α=18.44…….°. γ= rt angle.
To get the sides use the formulas at *.
Answer:
Base of rectangle = 23.25 units (Approx.)
Step-by-step explanation:
Given:
Diagonal of rectangle (Hypotenuse) = 8x
Height of rectangle (Perpendicular) = 2x
Find:
Base of rectangle
Computation:
Base = √Hypotenuse² - Perpendicular²
Base of rectangle = √(8x)² - (2x)²
Base of rectangle = √64x² - 4x²
Base of rectangle = √60x²
Base of rectangle = 7.75x units (Approx.)
If x = 3
Base of rectangle = 7.75x
Base of rectangle = 7.75(3)
Base of rectangle = 23.25 units (Approx.)
Answer:
There are 230 seats in the auditorium
Row 51 contains 203 seats.
Step-by-step explanation:
Equation: y = 3x + 50
3x is the rate at which the seats are and 50 is the the starting point.
y = 3(51) + 50
y = 203
Row 51 contains 203 seats.
y = 3(60) + 50
y = 180 + 50
y = 230
There are 230 seats in the auditorium
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Answer:
2
Step-by-step explanation:
13 x 17=221
19 x 23=437
437+221=658
658 divided by 2= 329
2 is prime and the least