Answer:
The ladder can reach a height of 22.6 feet.
Step-by-step explanation:
In order to find the height that the ladder can reach, you need to use the Pythagorean Theorem. The Pythagorean Theorem assumes that the house to the ground will form a right triangle and the leaning ladder is the hypotenuse. Using the formula: a² + b² = c², we can plug in the values that we know and solve for the missing variable. In this case we know the base of the triangle 'b' and the hypotenuse 'c': a² + 8² = 24² or a² + 64 = 576. To solve for a, we must first subtract 64 from both sides: a² + 64 - 64 = 576 - 64 or a² = 512. In order to find just the value of 'a', which represents the height, we need to take the square root of both sides: √a² = √512 or a ≈ 22.6 feet.
Answer:
Y=-40x+122
Step-by-step explanation:
hello
Due to the nature of the data, it is most convenient to model this problem as a linear function.
To solve this problem we must use the equation that defines a line, then start assigning the corresponding values
y1=82bananas per day
X1=1 dolar
y2=52bananas per day
x2=1.75dolar
line ecuation
y − y 1 = m(x − x 1 )
where
solving:
Y-82=-40(x-1)
Y=-40x+40+82
Y=-40x+122
let's try the result!
Price =1dolar
Y=-40(1)+122=82bananas per day
Price=1.75dolar
Y=-40(1.75)+122=52bananas per day
Answer:
40 square metres
Step-by-step explanation:
The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.
This width is also the base of the triangle, so b = 8.
Now plug these values into the equation:
A = (1/2) * b * h
A = (1/2) * 8 * 10 = (1/2) * 80 = 40
The area is 40 square metres.
Answer:
6:07 seconds
Step-by-step explanation:
to determine the answer subtract the time of Guerruoj's world record from that of Noah
3 : 32 : 07
-<u> 3 : 26 : 00</u>
0 : 06 : 07
Answer:
False
Step-by-step explanation:
If this number is larger than 6, then its square is larger than 36.
If x > 6, then x² > 36
The number is not larger than 6.therefore Its square is not larger than 36.
x ≤ 6; therefore, x² ≤ 36
-7 is < 6; however -7² > 36 as -7² = 49
