Hello.
1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI
sin^-1(7/25) = 16.26020471°
(round as needed)
Angle &: (also in degree mode)
All angles of a triangle add to 180°.
1. 180° - (angle B + Angle A) = Angle &
2. 180° - (90° + 16.26020471°) = 73.73979529°
(round as needed)
To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle
From the picture you provided,
The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!
Good luck to you!
11
(9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99)
Those numbers divisible by 9 are the multiple of 9; thus need to know how many multiples of 9 there are between 1 and 100:
100 ÷ 9 = 11 r 1 ÷ last multiple of 9 is 11 × 9 (= 99)
→ There are 11 - 1 + 1 = 11 numbers between 1 and 100 which are divisible by 9.
(They are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.)
Answer:
x = 1
y = 1.7
z = 60⁰
work:
z = 60 because the three angles add to 180⁰ and 180⁰ - 90⁰ - 30⁰ = 60⁰
in a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, so x = 1.
the longer leg is the short leg * Sq rt of 3
Sq rt of 3 to the nearest tenth is 1.7, so 1.7 * 1 is still 1.7, so y = 1.7.
Answer:
-2, 2, 6
Step-by-step explanation:
f(-4)= -4+2=-2
f(0)=0+2=2
f(4)=4+2=6
Substitute x for the number in parentheses
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