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TiliK225 [7]
2 years ago
10

A 3m ladder stands on horizontal ground and reaches 2.8 m up a vertical wall. how far is the foot of the ladder from the base of

the wall? round your answer to the nearest hundredth.
Mathematics
1 answer:
ivolga24 [154]2 years ago
8 0
1.08 m. is the answer because you would use the pythagorean theorem to solve it.  
2.8^2+b^2=3^2
7.84+b^2=9
b^2=9-7.84
square root of b^2=square root of 1.16
b=1.08
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The function f(x) = 1/2 x + 3/2 is used to complete this table.
Mrac [35]

Answer:

a) f(-1/2)  = -2 is NOT TRUE.

b)  f(0)  =3/2 is  TRUE.

c)   f(1)  = -1 is NOT TRUE.

d)   f(2)  = 1 is NOT TRUE.

e)   f(4)  = 7/2  is  TRUE.

Step-by-step explanation:

Here, the given function is  f(x) = (\frac{1}{2}) x+\frac{3}{2}

Now, checking for each values for the given function:

a) Putting x  = (-1/2):

 f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2}   = \frac{-1}{4}  + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4}  = (\frac{5}{4} )

and (5/4) ≠  -2

Hence, f(-1/2)  = -2 is NOT TRUE.

b)Putting x  = 0 :

f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )

Hence, f(0)  =3/2 is  TRUE.

c) Putting x  = 1:

f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2}   = \frac{1}{2}  + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2}  = (\frac{4}{2} )   = 2\implies 2   \neq -1

Hence, f(1)  = -1 is NOT TRUE.

d)Putting x  = 2:  

f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2}   = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2}  = (\frac{5}{2} )

and (5/2) ≠  1

Hence, f(2)  = 1 is NOT TRUE.

e)Putting x  = 4:

 f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2}   = 2  + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2}  = (\frac{7}{2} )

Hence, f(4)  = 7/2  is  TRUE.

4 0
2 years ago
A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132
melisa1 [442]
Area = perimeter + 132.  

Let  each side of the city be x miles long, then:-

x^2 = 4x  + 132
x^2 - 4x - 132 = 0

x  =  [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2

x = 13.66, -9.66   We ignore the negative

So the city  has dimension of 13.66 * 13.66

13.7 * 13.7   to nearest 10th
7 0
2 years ago
Which of the following statements is always true? a. Workers being paid on commission make less money than if they are salaried.
cricket20 [7]

Answer:

Step-by-step explanation:

The only answer that makes any sense is B. A commission works on the premise that the more you sell, the more money you take home.

Suppose a car salesman working at a GM dealership is working on a salary of 10% of the selling price. (A bit high).

Suppose on one month he sells 10 trucks, each one selling for 40000 dollars.

1 truck brings in 40000*10/100 = 4000 for the salesman.

10 trucks bring in 10*4000 = 40000 dollars.

The next month he only sells 8 Trucks. His commission is

40000 *  10/100 = 4000 per truck

8 trucks * 4000 = 32000 total for that month. A little less but it's quite a bit for a month's work all the same.

6 0
2 years ago
How many extraneous solutions does the equation below have? StartFraction 2 m Over 2 m + 3 EndFraction minus StartFraction 2 m O
xeze [42]

Answer:

0

Step-by-step explanation:

We have the fraction \frac{2m}{2m+3} -\frac{2m}{2m-3}

Step 1. Use LCM of the fraction, (2m+3)(2m-3), to simplify the fraction:

\frac{(2m-3)(2m)-(2m+3)(2m)}{(2m+3)(2m-3)} =\frac{2m^2-6m-[2m^2+6m]}{(2m+3)(2m-3)} =\frac{2m^2-6m-2m^2-6m}{(2m+3)(2m-3)} =\frac{-12m}{(2m+3)(2m-3)}

Step 2. Equate the resulting fraction to zero and solve for m:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0[(2m+3)(2m-3)]

-12m=0

m=\frac{0}{-12}

m=0

Step 3. Replace the value in the original equation and check if it holds:

\frac{-12m}{(2m+3)(2m-3)} =0

-12m=0

Since m=0,

-12(0)=0

0=0

Since the only solution of the equation holds, the equation bellow doesn't have any extraneous solution

5 0
2 years ago
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Suppose that a Coke/Pepsi survey was conducted of 400 randomly selected individuals from Gainesville. Two hundred people selecte
AlexFokin [52]

Answer:

A. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.

6 0
2 years ago
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