Answer:
5√2 units ≈ 7.07 units
Step-by-step explanation:
The ratio of leg to hypotenuse in an isosceles right triangle is ...
leg/hypotenuse = 1/√2
Multiplying by the length of the hypotenuse, we have ...
leg = hypotenuse/√2 = 10/√2
leg = 5√2 . . . . rationalize the denominator
The length of one leg is 5√2 units, about 7.07107 units.
Answer:
11
Step-by-step explanation:
Here the given function,

By substituting t = 7 in the above equation,
We get,

( By multiplication )
( By subtraction )
Hence, the value of f(7) is 11 for the given function.
Answer:
270°
Step-by-step explanation:
360/4 = 90
90*3 = 270
8) 12 is 30% of some number, which we'll call x. We can write the percent as a decimal and solve for x

.
The answer is
40.
9) 45% of 20 is

.
The answer is
9.
10) 18 is

% of 30.
The answer is
60%.
11) 56 is 80% of some number x. We write

.
The answer is
70.12) If the total cost on an item that costs $4.00 is $4.32, then the tax is 32¢. We want to find the percent of the total 4 that is .32.

%.
The answer is
8%.
Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)
m =
=
= 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 7 ) , then
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← equation of line