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Temka [501]
3 years ago
5

a yard is equal in lenght to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in

feet (as output)​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

The value of f(15.4) is B. 46.2.

Step-by-step explanation:

Step 1:

f(x) is dependent on the value of x.

So x is independent while f(x) is dependent on x i.e. the value of f(x) depends on the value of x.

Step 2:

f(x)= 3x.

So if we have the value of x we can calculate the value of f(x). Here the value of x is given as 15.4 so f(x) when x equals 15.4 can be calculated.

f(x)= 3x, f(15.4) = 3(15.4),

3(15.4) = 46.2.

So the value of f(15.4) is 46.2 which is option B.

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What is 3/4 of 16/21? worked out please
timofeeve [1]
Of means multiplication

So

\frac{3}{4} \sf{of}  \frac{16}{21}  =  \frac{3}{4} \times  \frac{16}{21}

And then simplify the numerator ad denominator

= \frac{3 \times 16}{4 \times 21} =  \frac{\ 1 \times 16}{4 \times 7}

And simplify the numerator and denominator again

= \frac{\ 1 \times 16}{4 \times 7} = \frac{\ 1 \times 4}{1 \times 7}

And we are finally left with the answer which is \frac{4}{7}
5 0
4 years ago
0.
Yakvenalex [24]

Answer:

D.648 inches​

Step-by-step explanation:

A yard is a unit that mostly used in America and Canadia to measure the length of something field-size, so it's used a lot in sport. One yard equal to three feet, while one foot equals to 12 inches. There is a higher unit than yard called miles which equals to 1760 yards or 1.60934 kilometers.

Since the measurement is 18 yards, the length in feet will be: 18 yards * 3 feet/yard= 54 feet.

The measurement in inch will be: 54 feet * 12 inches/feet = 648 inches.

8 0
3 years ago
The area of trapezoid TRAP is 100 m squared
Anastasy [175]
Answer:  30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________

Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as:  A = ( b₁ + b₂) h  / 2 ;
___________________________________
in which:  A = area;
              b₁ = length of "base 1" (choose either one of the 2 (two bases);
              b₂ = length of "base 2" (use the base that is remaining);
              h = height of trapezoid;
____________________________________________
From the information given: 
___________________________
A = 100 m² ; 
h = 5 m
b₁ = 10 m
b₂ =  x 
___________________________
Find "x", which is:  "b₂" ;
__________________________
      A = ( b₁ + b₂) h  / 2  ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
  100 m² = [(10m + x) (5m)] / 2  ; Solve for "x" ;
_________________________________________________________
          (10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
             (5m) (10m + x) = 200 m² ;
___________________________________________
Note:  The distributive property of multiplication:
____________________________________________
    a(b+c) = ab + ac ;
 
    a(b−c) = ab <span>− ac ;
</span>____________________________________________

  We have:  (5m) (10m + x) = 200 m²  ;
____________________________________________
So:    (5m) (10m + x) =  (5m*10m) + (5m * x) ;
                           
                               =  50m² + (5m)x  ;
_______________________________________________
     →  50m² + (5m)x = 200m²  ; 
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
     → { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
     →  10m + x   = 40m ; 
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
     →  10m + x  − 10m  =  40m − 10m ;

to get:

                →    x  =  30 m  ; which is our answer.
___________________________________________________
Answer:  30 m ; (or, write as: "30 meters") .
_____________________________________________________
6 0
3 years ago
Martha wants to build a rectangular wooden border around the perimeter of her children's playground. She can find the perimeter
lutik1710 [3]

Answer: The perimeter of Martha's wooden border = 44 feet.

Step-by-step explanation:

Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length

If l= 12 feet and w = 10 feet

Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet

The perimeter of Martha's wooden border = 20+24 feet

The perimeter of Martha's wooden border = 44 feet

Therefore, the perimeter of Martha's wooden border = 44 feet.

3 0
3 years ago
The exponent of 2√9 is
AVprozaik [17]

Answer:

the exponent is 6............

5 0
3 years ago
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