Answer:
1. The measure of the remaining leg is 21\sqrt{3} units
2. The angle opposite the side with length 21 units measures 30°
Step-by-step explanation:
The Pythagorean theorem tells you the remaining side length is ...
√(42² -21²) = 21√3 . . . . . matches the first statement, discounts statements 3 and 5
The angle opposite the 21-unit leg can be found from ...
angle = arcsin(21/42) = 30° . . . . . matches the second statement, discounts statement 4.
Answer: it be 10%
Step-by-step explanation:
sorry if i wrong
56/74 in simplest form
56/74×2/2=28/37
Therefore, 56/74 in simplest form is 28/37.
Answer:
The length of the hypotenuse is: 45 yards
Step-by-step explanation:
Given
a=27 yd
b=36 yd
To Determine
Hypotenuse = c
Pythagorean Theorem
For a right-angled triangle with sides a, b, and c is defined as:

as
a=27
b=36
so substituting a=27, b=36

yards
Therefore, the length of the hypotenuse is: 45 yards
Asssuming the original equation is f(x)=-3x
vertical stretch of 4 means multiply whole function by 4
move to right by 4 means minus 4 from every x
so first
f(x)=-3x
strech,
times 4
y=-12x
now move to right 4
minus 4 from every x
g(x)=-12(x-4)
g(x)=-12x+48
g(x)=-12(x-4) or -12x+48