Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
Answer:

Step-by-step explanation:
Assuming this is a right triangle.
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse
Given:
= 35°- O = x
- A = 26



Therefore, x = 18.21 (nearest hundredth)
Answer:
1.273584906 yds / second
Step-by-step explanation:
Take the number of yards and divide by the number of seconds
6.75 yds / 5.3 seconds
1.273584906 yds / second
Answer:
<em>m∠A = 24° , a ≈ 26 ft , b ≈ 51 ft</em>
Step-by-step explanation: