Answer:
See step by step answer
Step-by-step explanation:
the factors are (x+22)(x-10)=0
so x = -22 and 10, but a dimension cannot be negative, so the answer for x is 10 and then if you plug it back in the dimensions are 4 cm, 11 cm and 21 cm.
When you multiply 4 * 11 * 21 = 924, so you know it's correct.
Answer:
r = 44
Step-by-step explanation:
12 = r - (34 - 2)
Solve for r
___________
To solve, we need to isolate r.
Distribute the negative sign with the numbers within the parenthesis :
12 = r - 34 + 2
Add like terms :
12 = r - 32
Add 32 to both sides :
44 = r
r = 44
Answer:
y = (2/3)x + 8
Step-by-step explanation:
Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.
y = (2/3)x + ?
Plug in (-3, 6) for (x, y) in the equation.
6 = (2/3)(-3) + ?
6 = -2 + ?
? = 8
Final equation: y = (2/3)x + 8
The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is
.
We have to determine
Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.
<h3>Trigonometric identity</h3>
Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.
Trig ratios help us calculate side lengths and interior angles of right triangles:
The trigonometric identity that can be used to solve for the height of the blue ladder is;

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is
.
To know more about trigonometric identity click the link given below.
brainly.com/question/1256744
Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51


y = 12
x = 3 × 12 = 36

Therefore the length of the longest section x = 36 ft