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RoseWind [281]
2 years ago
5

Mike is reading instructions for assembling a tree house. The instructions include a scale drawing of the floor plans of the tre

e house that shows the floor as a square with 4-inch-long sides. The scale of the drawing is 12 inch = 2 feet. If Mike were to build a tree house according to the floor plans, what would be the area of the floor of the tree house in square feet? _________
Mathematics
1 answer:
laila [671]2 years ago
7 0
Answer: 144 square feet

Explanation: It says that the square has sides that are 4 inches long, which means that all of the sides are 4 inches long. If two inches is 12 feet, then all you have to do is multiply it by 2, since the sides are 4 inches. That means that all sides are 24 ft long. Now just calculate the area by multiplying the length and the width to get 144 square feet.
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11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is
alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

y = 300 - 4x -x^2

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

160 = 300 - 4x -x^2\\x^2 + 4x  - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

5 0
3 years ago
Determine the exact solution to the following in radians.
Sloan [31]
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 = \pi/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7\pi/6
360-3=330 = 11\pi/6
3 0
3 years ago
Please help me I need to submit this asap
frez [133]

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = \frac{1}{2} ← from (- 1, \frac{1}{2} ) , thus

average rate of change = \frac{4-\frac{1}{2} }{2-(-1)} = \frac{\frac{7}{2} }{3} = \frac{7}{6} → D

8 0
3 years ago
Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long
7nadin3 [17]
The first thing we must do for this case is find the scale factor.
 We have then that for the larger side of both triangle, the scale factor is:
 k =  \frac{RP}{HF}
 k = \frac{7.2}{12}
 k = 0.6
 To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
 We have then:

 For PQ
 
PQ = k * FG

PQ = 0.6 * 5

PQ = 3

 For QR
 
QR = k * GH

QR = 0.6 * 10

QR = 6

 Answer:
 
You have that the lengths for the other two sides of triangle PQR are:
 
PQ = 3

QR = 6
3 0
3 years ago
The endpoints of GH are G(3,3) and H(-7,7).<br> Find the coordinates of the midpoint M.
sesenic [268]

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

midpoint \: of \: gh =  (\frac{x1 + x2}{2}  ,\frac{y1 + y2}{2})

midpoint \: of \: gh =  (\frac{3 - 7}{2}  ,\frac{3 + 7}{2})

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
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