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aleksandr82 [10.1K]
3 years ago
5

Jake wrote this equation for the area of a rectangle. 431.2 = 24.5w. What is the width (w) of this rectangle? A. 17.6 units B. 6

7.7 units C. 406.7 units D. 10,564.4 units
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
All you have to do is 431.2 divided by 24.5
Hope this helps
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A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture
OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25

Taking square root on both sides

\sqrt{c^2}=\sqrt{234.25}\\c=15.30

Hence,

Length of diagonal of picture = 15.30 inches

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3 years ago
Can someone help plz<br><br><br> Thanks
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Answer:

it's answer is 68°.......

7 0
3 years ago
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I picked the blue one, was I correct?
pav-90 [236]

Answer:

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Step-by-step explanation:

7 0
3 years ago
The cost C (in dollars) of building a house is related to the number k of carpenters used and the number e of electricians used
riadik2000 [5.3K]
C = 15000 + 50k^2 + 60e^2 \Rightarrow \\&#10;\frac{dC}{de} = \frac{d}{de} 50k^2  + \frac{d}{de} 60e^2 \Rightarrow \\&#10;\frac{dC}{de} =  100k\frac{dk}{de}  +  120e\\&#10;Cost\ of\ house\ is\ fixed\ so\ \frac{dC}{de} = 0 \\&#10;0 = 100k\frac{dk}{de}  +  120e\ \Rightarrow\ -120e = 100k\frac{dk}{de}  \ \Righarrow \\ \frac{dk}{de} = -\frac{6e}{5k}  \\&#10;&#10;

find k when e = 15

100000 = 15000 + 50k^2 + 60(15)^2 \Rightarrow k = \sqrt{1430}

\frac{dk}{de} = -\frac{6e}{5k} = -\frac{6(15)}{5\sqrt{1430}} = -0.476

inst rate of carpenters with 15 <span>electricians:</span> decreasing at 0.476 carpenters per electrician

7 0
3 years ago
A fish tank, in the shape of a rectangular prism with dimensions 51 centimeters by 39 centimeters by 28 centimeters, is 95% fill
PtichkaEL [24]
Step 1
find the total volume of the fish tank
volume of a rectangular prism=51*39*28----> 55692 cm³

step 2
find the 95% of the volume of the tank fish
95%=55692 cm³*.95-----> 52907.40 cm³

step 3
find the 5% of the volume of the tank fish
5%=55692*0.05----> 2784.6 cm³
or
55692-52907.4=2784.6 cm³


step 4
 find the volume of the log
volume of a cylinder=pi*r²*h
r=5 cm
h=44 cm
volume of a cylinder=pi*5²*44-----> 3454 cm³

step 5
<span>water spills out of the tank=volume of the log-volume of the 5% of the tank
</span>water spills out of the tank=3454 cm³-2784.6 cm³-----> 669.40 cm³

the answer is
669.40 cm³
3 0
3 years ago
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