Using derivatives+optimization, find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side 12.

Answer:

D

Step-by-step explanation:

i did the math

Answer:

m • v^2 / 2  = E

Step-by-step explanation:

m = 2E/v^2

multiply each side by v^2

m • v^2 = 2E

divide each side by 2

m • v^2 / 2  = E

Answer:

c

Step-by-step explanation:

Answer:

10minutes per meter

Explanation

⅘meters can be filled in 8 minutes

⅘m => 8minutes

1m => ?

(8 x 1) ÷ ⅘

8 x 5/4 = 10 minutes

Therefore, 1meter can be filled in 10minutes

Answer:

135 cm

Step-by-step explanation:

[tex] \cos(43) = \frac{75}{y} [/tex]

[tex]y = \frac{75}{ \cos(43) } [/tex]

[tex]y = 135[/tex]

Answer:

y ≈ 102 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{75}{y}[/tex] ( multiply both sides by y )

y × cos43° = 75 ( divide both sides by cos43° )

y = [tex]\frac{75}{cos43}[/tex] ≈ 102 cm ( to 3 sf )

Answer:

70%

Step-by-step explanation:

Correct/total questions --> Formula for this problem

Correct questions - 7

Total questions - 10

So, 7/10=70%!

Hope this helps you!

Answer:

28. add them all together

Answer:

the answer is 28

Step-by-step explanation:

you have good taste in music

Answer:

He flew for 3 hours

Step-by-step explanation:

in this question we can use the formula :

[tex] \boxed{t = \frac{s}{v}} [/tex]

t is time

s is distance

v is Speed

_________________

We know that :

v = 12 miles/hour

s = 36 miles

So :

[tex] t = \frac{s}{v} = \frac{36}{12} [/tex]

[tex] \boxed{t = 3 \: hours}[/tex]

______________________

Step-by-step explanation:

Typical speed of Bernard= x km/hr

Bernard's speed while sick= 41.5 km/hr

the difference in the speed=13.5 km/hr

the equation representing the difference will be:

x-41.5=13.5 km/hr

Answer:

The answer is 180.20

Have a great day!

bc Answer: They form an obtuse triangle

Step-by-step explanation:

the length of one side must be greater than the difference and less than the sum of the lengths of the other two sides. In this case the third side must be greater than 3 and less than 31. 3(squareroot) 55 is 22.25 so it fits.

Answer:

Quesnel Lake:Lake Baikal=.31

Quesnel Lake:Great Slave Lake=.82

Step-by-step explanation:

1 foot = .3048 meters

Lake Baikal: 5369 ft. = 1636.4712 m

Great Slave Lake: 2015 ft. = 614.172 m

Quesnel Lake: 506 m

Quesnel Lake:Lake Baikal

[tex]506 \div 1636.472 = .31[/tex]

Quesnel Lake:Great Slave Lake

[tex]506 \div 614.172 = .82[/tex]

Answer:

The simplified fraction is

[tex] \frac{2}{9} [/tex]

Step-by-step explanation:

Finding the HCF can help a great deal, so in this case the HCF between 16 and 72 is 8.

16/8 = 2

72/8= 9

Therefore the answer is

[tex] \frac{2}{9} [/tex]

Answer:

1. 50

2.40

3. 9

Step-by-step explanation:

1. in this u need u plus ten with number given

2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below

3. in this u need to multiply 3 with every number like 9*3 27

hope it helps

Answer:

i guess it is 3a^3-20a^2+16a-24

The sum of triangle angles = 180

180 = 90 + 2x +15 + x

75 = 3x

x = 25

Answer:

→x=25°

Step-by-step explanation:

→2x+15+x+90°=180°[Sum of a triangle is 180]

→3x+105°=180°

→3x=180°-105°

→x=75°/3

→x=25°

Hope it will help you.

Answer:

112.34

Step-by-step explanation:

The 2nd digit after the decimal point is in the hundredths position.

• If the digit following is ≥ 5 then round up

• If the digit following is < 5 then leave digit as it is

here the digit following the 3 in the hundredths position is 9 so round up

112.3398 ≈ 112.34 ( to the nearest hundredth )

Answer:7351

Step-by-step explanation:

Answer:

456566654

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

62% of 29

[tex]\frac{62}{100}* 29[/tex]

[tex]0.62 * 29[/tex]

[tex]17.98[/tex]

[tex]18[/tex] .....best estimate if rounded off.

Answer:

18 is the answer

Answer:

780¢

Step-by-step explanation:

A dozen = 12

so 12 * 65 = 780

Answer:

The answer is 780¢

Step-by-step explanation:

Now, we know that 1 dozen = 12

So,

65 × 12 = 780

Thus, The cost of 1 dozen of peaches is 780¢

-TheUnknownScientist 72

Answer:

7,912.8 inch³ of aluminum is needed to make 70 metal balls

Step-by-step explanation:

r = 3 inches and π = 3.14

single aluminum ball, 113.04 inch³ of aluminum

113.04 inch³ of aluminum is used for 1 ball, then we multiply 70 with this value to determine the aluminum needed for 70 such balls.

Answer:

Q

Step-by-step explanation:

As it's distance versus time graph

Hence Q is the answer

[tex]\sf \Large \boxed{\sf Q} \\\\ In \ a\ distance-time\ graph,\ the\ horizontal\ line\ represents\ an\ object\ at\ rest.\\A \ slope\ shows\ that\ it\ is\ moving.[/tex]

Answer:

54π

Step-by-step explanation:

The volume for a cone is πr²h/3, which if we replace the number in, we get :

π6²4,5/3, which is approximately 54π

Hope it helps :)

Answer:

30n^15

multiply exponents add reg numbers

Answer:

Shirt:8 ; jsans:16.

Step-by-step explanation:

Let’s shorten these terms: shirt=s ; jean=j.

3s+3j=72

4s+2j=64 => =2j=64-4s => j=(64-4s):2 => j=32-2s

3s+3j=72 => (instead of j we write 32-2s=> 3s+3*(32-2s)=3s+96-6s=72

=> -3s=72-96
-3s=-24

s=24:3

s=8.
=> j=32-2s => j= 32-16 => j=16.

Answer:

Step-by-step explanation:

There we go :))

Answer: 6.75x - 4

Step-by-step explanation:

6.75x - 4

Answer:

x²-25=?

Step-by-step explanation:

x² is known as a positive number.A positive number is any number more than 0

so we can there fore assume it's 4 so 4-25 no we can't so we divide

4÷25=0.16 it is a decimal.

Answer: 140

Step-by-step explanation:

We know that the angle measures must add to 180 deg, so:

40 + x = 180

x = 140.