Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
Answer:
8x+2
Step-by-step explanation:
Or -8x+2 but i think its 8x+2
To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.
Area of the garden will be represented by the expression 32s⁵ ft².
Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.
Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.
Therefore, area of the rectangle in the picture = Length × Width
= 4s³t × 8s²
= 32s⁵t ft²
Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.
Therefore, area of the garden = 2(area of the rectangle given in the garden)
= 2(32s⁵t) square feet.
= 64s⁵t square feet
Learn more,
brainly.com/question/17419256
Answer:
£7,878
Step-by-step explanation:
she gets:
40p× 260 miles = 10,400p
she pays:
52 : 5.36= £9.70 per mile
260 x 9.70 = £2,522
to find out what she claimes more than she pays: 10,400 - 2,522 = 7,878
