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telo118 [61]
3 years ago
5

A 12 ft ladder is placed 5 feet from a building. Approximately how high does the ladder reach? Round to the nearest tenth, if ne

cessary. *
Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

13

Step-by-step explanation:

Pythagorean theorem:

Squareroot(12^2 + 5^2) = 13

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What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.
Kazeer [188]

Answer: 48

Step-by-step explanation:

log_{b}M=n--> M=b^{n} \\log(2x+4)=2\\b=10, M=2x+4, n= 2 \\\\2x+4=10^{2} \\2x+4=100\\2x=96\\x=48

5 0
3 years ago
For what value of p would the statement 5p = 30 be true?<br>​
shtirl [24]

Answer:

6

Step-by-step explanation:

divide both sides of the equals by 5 to get p on its own

5p divided by 5 = p

30 divided by 5 = 6

6 0
3 years ago
Polygon ABCD will be dilated by a scale factor of 2.2 with the origin as the center of dilation, resulting in the image A'B'C'D'
ikadub [295]
The answer is A. <span>m = undefined, C'D' = 13.2 units. When you dilate both C and D with the scale factor 2.2 with the origin as the center of dilation, their coordinates respectively become the following:
C' (22, 13.2) and D (22,26.4)

The difference between 26.4 and 13.2 is 13.2. The slope is undefined since it is s vertical line.

</span>
4 0
3 years ago
Read 2 more answers
suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

4 0
3 years ago
My victory will be in your hands if you answer this ✌✌✌✌✌
Julli [10]

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

7 0
3 years ago
Read 2 more answers
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