The resulting triangle is a right triangle with the third side given:
First, the angle can be solved using the given rise and run of the cable. So,
tan θ = 2 / 5
θ = 15.95°
Next, the lengths b and c can be solved using the solved angle:
tan 15.95 = 1320 / b
b = 3300 ft
The hypotenuse or c can be solved by trigonometric functions or using Pythagorean theorem, using the sine function:
sin 15.95 = 1320 / c
c = 4804 ft
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. This means that the area of the backyard is
(3x - 5)(4x - 10)
= 12x² - 30x - 20x + 15
= (12x² - 50x + 15) square feet
Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is
(x + 8)(x - 2)
= x² - 2x + 8x - 16
= x² + 6x - 16
Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is
12x² - 50x + 15 - (x² + 6x - 16)
= 12x² - 50x + 15 - x² - 6x + 16
= 12x² - x² - 50x - 6x + 15 + 16
= 11x² - 56x + 31 square feet
Answer:
Hey!
Step-by-step explanation:
The diameter of Mercury is 4,879.4 km, while the diameter of Jupiter is 142,984 km. In other words, Jupiter is 29.3 times bigger across than Mercury. In terms of volume, you could fit 24,462 Mercurys inside Jupiter. Jupiter even has 5,750 times more mass than Mercury.
Hope this helps!
Have a nice day!♥
Answer:
ccrccr
Step-by-step explanation:
drcgtgtfttcctt
Note that the chances of a head and a tail appear in a single toss is 1/2
(1/2)^3 =0.125
