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katrin [286]
3 years ago
9

What is the area of a rectangle with a length of 3/4 yard and width of 5/6 yard?

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
Put the numbers into the area of a rectangleformula and multiply the numerator then multiply the denominators, then take out common factors to simplify.

area of a rectangle = length • width
a = l • w
a = 3/4 • 5/6
a = 15/24
a = 5/8 yard^2
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Use the table below to fill in missing values.
aliina [53]

Step-by-step explanation:

We can observe from the table that the value of independent variable and then the values of function on that variable are given.

So,

<u>f(5) = 6</u>

As the value of function at x=5 is 6

<u>If f(x) = 4 then x = 7</u>

The value of function is 4 only on x=7 so the answer is x = 7

When the inverse is taken, the inputs become output and the outputs become inputs

f^{-1}(6) = 5

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6

Now,

Lastly

if\ f^{-1}(x) = 7,\ then \x = 4

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.

4 0
3 years ago
E. solve for y<br>-3y+6​
Rudik [331]

Answer:

y = 2

Step-by-step explanation:

-3y + 6 = 0

-3y = -6

y = -6/-3

y = 6/3

y = 2

6 0
3 years ago
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Line segment AB is translated 5 units right and 2 units down followed by a rotation of 180o about the origin. The resulting imag
sergeinik [125]
The correct answer is c
3 0
2 years ago
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Let f(x) = x + 8 and g(x) = x2 − 6x − 7. find f(g(2)). −7 −3 10 33 open study
Ray Of Light [21]
F(g(2))

g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15

f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==

ur answer is -7
6 0
3 years ago
Find the volume of this cylinder. Please help
algol13

Answer:

\boxed {\boxed {\sf 384 \ ft^3}}

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

V= \pi r^2 h

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

  • r= 4 ft
  • h= 8 ft
  • π= 3

Substitute the values into the formula.

V= (3)(4 \ ft)^2 (8 \ ft)

Solve the exponent.

  • (4 ft)²= 4 ft * 4 ft = 16 ft²

V= (3)(16 \ ft^2)(8 \ ft)

Multiply the three numbers together.

V= 48 \ ft^2 (8 \ ft)

V= 384 \ ft^3

The volume of the cylinder is approximately <u>384 cubic feet.</u>

8 0
2 years ago
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