The approximate length of side AB is 14.0. The correct option is B. 14.0 units
<h3>Law of sines </h3>
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (<em>Sum of angles in a triangle</em>)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
Learn more on Law of sines here: brainly.com/question/24138896
#SPJ1
Answer:
okay so each cookie costs 1.15 and the equation is (2.80 divided by 7) + 0.75 = c
Step-by-step explanation:
Hope that helps:)
<span>7 × 105 = 735
</span><span>2 × 103 = 206
735 + 206 = 941
Your answer is 941.
Hope this helps!</span>
Using the Pythagorean theorem:
14^2 = 8^2 + x^2
196 = 64 + x^2
Subtract 64 from both sides:
132 = x^2
Take the square root of both sides:
X = 11.49
Rounded to nearest tenth = 11.5
Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0
f(0) = 0² - 8(0) - 10 = 0 - 0 - 10 = - 10
The y- intercept is (0, - 10)
To find the x- intercepts let f(x) = 0, that is
2x² - 8x - 10 = 0 ( divide through by 2 )
x² - 4x - 5 = 0
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
The factors are - 5 and + 1, since
- 5 × 1 = - 5 and - 5 + 1 = - 4, hence
(x - 5)(x + 1) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
The x- intercepts are (- 1, 0) and (5, 0)