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Shalnov [3]
3 years ago
5

Activity Warren's tape measure is marked in increments of 16 inch, not in decimal numbers. To measure the tiles, he needs to kno

w the side lengths to to incħ. In this activity, you will convert decimal values to fractional values and then calculate the area of the tiles. the nearest Question 1 Part A The length of tile A is about 2.23607inches, which mark on the tape measure is closest to 2.23607inches? Remember, the tape measure is marked in sixteenths of an inch.​
Mathematics
1 answer:
Minchanka [31]3 years ago
3 0

Answer:

the fourth mark after 2 inches

Step-by-step explanation:

each tile measures 2.23607 inches long

That means that the mark will be 2 inches and somewhere in between the third and fourth mark. The third mark is equivalent to 0.1875 inches and the fourth mark is equivalent to 0.25 inches. The mark closest to the actual length of the tile would be the fourth mark after 2 inches.

each mark represents 1 / 16 = 0.0625 inches, if we divide 0.23607 by 0.0625 = 3.69072 marks which we can round to 4 marks

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6. The functions off and g are defined by f(x) = 4x + 2 and g(x) = x². Calculate for:
likoan [24]

Answer:

\boxed{66}

Step-by-step explanation:

if \: the \: question \: is \: f[g(4)] \\ then \: at \: first \: solve \: for \: g(4) \\ g(4) =  {4}^{2}  \\ f[g(4)]  = 4( {4}^{2} ) + 2 \\ f[g(4)]  = 4(16) + 2 \\ f[g(4)]  =64 + 2 \\   f[g(4)]  =  \boxed{66}

3 0
3 years ago
What is the set fee, or initial value, of this function
Ber [7]
Answer:
The set fee would be $15

Explanation:
The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).

To get the set fee, we would first need to get the equation of the line.

Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
we are given two points which are:
(20,25) and (50,40)
the slope = \frac{y2-y1}{x2-x1}=  \frac{40-25}{50-20} = 0.5

The equation now is:
y = 0.5x + c

2- getting the value of the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15

The equation of the line representing the scenario is:
y = 0.5x + 15

Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.

Hope this helps :)
6 0
4 years ago
A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood
Bad White [126]

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2                 Cross multiply

3y = 8                     Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10                   Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

8 0
3 years ago
The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the a
klemol [59]
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

7 0
3 years ago
Excited by the recent warm weather Jill and Kelly are doing spring cleaning at their apartment. Jill takes an exponen- tially di
Basile [38]

Answer:

Step-by-step explanation:

4 0
4 years ago
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