9514 1404 393
Answer:
24 feet
Step-by-step explanation:
The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:
Cos = Adjacent/Hypotenuse
hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft
The ladder is about 24 feet long.
Answer:
Measure of exterior angle = 68°
Step-by-step explanation:
By exterior angle property of a triangle.
(7x - 16)°= (x + 8)° + (4x)°
(7x - 16)°= (x + 8 + 4x)°
(7x - 16)° = (5x + 8)°
7x - 16 = 5x + 8
7x - 5x = 8 + 16
2x = 24
x = 24/2
x = 12
Measure of exterior angle
= (7x - 16)°
=(7*12 - 16)°
= (84 - 16)°
Measure of exterior angle = 68°
Answer: 2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Step-by-step explanation:
Answer:
37.6%
Step-by-step explanation:
You can use find John's original earnings by taking 12% off of 5600. You can do this by doing 0.78 x 5600, and you get 4368.
Now, we can use John's orignal earning to find Musa's original earning. Knowing that their earning's correspond, you can use the proportion 5/3 = 5600/x. You can use cross products to solve:
4368 x 3 = 5x
13104 = 5x
2620.8 = x
Musa's original earnings was 2620.8.
If the sum of their new earnings is 9800, we can take of John's new earnings to find Musa's new earnings. 9800 - 5600= 4200. That means Musa's new earnings were 4200. To find the percentage, we can use the following equation, and then solve:
2620.8 = 4200x
.624 = x
<u>That means that 2620.8 is 62.4% of 4200, and that it increased by 37.6%.</u>
<h2><u>
Hope t helps! Have a great day! Sorry it took so long.... I was trying to give a good answer :)</u></h2>
The first and the difficult thing is you need to tell that
x^2-4xy+4y^2 = ( x - 2y )^2
so from question you know 3x - 6y = x - 2y = 9z
finial : ( x - 2y )^2 = ( 9z )^2=81z^2
so the answer is D . Hope this would help you .