Answer:
The order of the sides of the triangle from shortest to longest:
<u>BC , AC and AB</u>
Step-by-step explanation:
ΔABC, m∠A = 41° and m∠B = 62°
So, m∠C = 180° - ( m∠A + m∠B)
= 180° - ( 41° + 62°)
= 180° - 103° = 77°
Arranging the angles from the smallest to the greatest
∠A , ∠B and ∠C
We should know that
The shortest side is opposite to the smallest angle and vice verse.
So, the sides of the triangle in order of shortest to longest is as following:
<u>BC , AC and AB</u>
Answer:
The correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
Step-by-step explanation:
Points to remeber
Sin θ = Opposit side/ Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ= Opposite side /Adjacent side
<u>To find opposite side</u>
It is given that,
Cos θ = -4/9 = Adjacent side/Hypotenuse
We can find opposite side of angle θ
opposit side ² = Hypotenuse² - adjacent side² = 9² - 4²
= 81 - 16 = 65
Opposite side = √65
<u>To find sinθ and tanθ</u>
Sin θ = Opposit side/ Hypotenuse = -√65/9
Tan θ = Opposite side /Adjacent side = -√65/4
Therefore the correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
<u />
Answer:
11.2
Step-by-step explanation:
the first thing you wanna do it's to change 40% into a real number to do that you move the decimal 2 places to TV he left and make it 0.40 then you multiply 0.40 with 8 and you get 3.2 so you add 3.2 to 8 and the answer is 11.2
Answer:
3/20
Step-by-step explanation:
Given: Number of cups of pancakes to be made = 20
Number of bag of chocolate chips available = 3
Therefore, cups of chocolate chips will be in each pancake= 3/20
To multiply a fraction with another fraction, we multiply the numerators the denominators:
(5/2) x (2/3) = (5 x 2) / (6 x 3) = 10/18 = 5/9