Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall candle can burn for. He assumes that the relationship between the height of a candle and number of hours it burns is proportional. How long can a 21 cm tall candle burn for?

Answer:

51

Step-by-step explanation:

In an isosceles trapezoid, the two top angles are congruent and the two bottom angles are congruent

∠D and ∠G are angles that are both on top

Hence ∠D ≅ ∠G

Which means that because ∠D = 51°. ∠G also = 51°

Answer:

I speak english srry

Step-by-step explanation:

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer: 378

Step-by-step explanation:

You would get this answer because if x = 7 then you multiply and get 21 because 3 x 7 = 21 then you do what’s in the parentheses and get 18 then multiply 21 x 18 then you get 378

Answer:

Lines of latitude run in horizontal parallels and represent distance north or south from the equator, measured in an angle from the centre of the Earth. The equator represents 0° and each pole represents 90°

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Use the sight line on the top of the aiming beam to align the beam with the North Star. Use the protractor to measure the angle between the beam and the horizon (which is 90º to the plumb line). This angle is your latitude.

Answer:

640

Step-by-step explanation:

=32-0.05W

We move all terms to the left:

-(32-0.05W)=0

We add all the numbers together, and all the variables

-(-0.05W+32)=0

We get rid of parentheses

0.05W-32=0

We move all terms containing W to the left, all other terms to the right

0.05W=32

W=32/0.05

W=640

Answer:

Checks are slips of paper that are used to transfer money from your banking acccount to anothers. You can ask for a checkbook at you local bank, and fill out the required information to be eligible.

You have to fill out your name, which person its going to, the memo (why you are filling out the check), and finally the amout the other person is going to recieve. Once you recieve a check you must go to the bank to either cash out the check (get the amount of cash that was writen on the check), or put the aout of money in your bank ccount.

Sorry if im wrong!

Have a good day! <3

Step-by-step explanation:

Answer:

3155

Step-by-step explanation:

Continously compounding interest formula:

PV*e^(rt)

10200*e^(.0385*7)=13354.95825

To find the amount of interest paid subtract the original amount

13354.95825-10200=3154.958249

which rounds to

3155

Answer:

x= -5

Step-by-step explanation:

MARK AS BRAINLEST!!

Answer:

the inequality symbol should be < after dividing by -3, so reversing the sign( if reverse isnt an option ill ask what the options are in the comments)

Step-by-step explanation:

Whenever and inequality is divided by a negative number the inequality sign has to switch.

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

1 km = 1000 meters.

Find total meters: 80 km x 1000 meters per km = 80,000 meters.

Divide total meters by the given speed:

80,000 meters / 180 m/s = 444.44 seconds.

1 minute = 60 seconds

444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds

Total time = 7 minutes 24.42 seconds

Round as needed.

Answer:

745,000

Step-by-step explanation:

200,000x.03= 6000

150,000x.025=3,750

Commission.    2,350

total.                12,100

total fees.            20,000

less above.           12,100

=.remaining fees    7,900

divide by .02(2% commission)

=remaining sales price 395,000

tier 1 200000

tier 2 150000

tier 3 395,000 (calculated above)

=.       745,000 sales price

Answer: [tex]x=-21, y=-33[/tex]

[tex]x-y=12,\\18x-12y=18 ( divide by 6)\\3x-2y=3, 2nd Eq.\\multiply- first -equation by 2\\\\2x-2y=24, 1st Eq.\\subtract-the- second -equation- from -first\\2x-3x=24-3,\\-x=21 or x=-21,\\\\substitute-the-value-of -x\\-21-y=12,\\y=-21-12= -33\\[/tex]

Step-by-step explanation:

Answer:Right

Step-by-step explanation:for sure

363.39in² is a required area.

Answer:

we have

a=10in

now

Area =7/4*10²cot(180/7)=363.39in²

Answer:

lenth = x= 12cm

Breadth = y = 8cm

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Answer:

252, 253, 254

Step-by-step explanation:

[tex] \frac{759}{3} \\ = 253[/tex]

253 is the median. so the multiples will be 252, 253, 254

Step-by-step explanation:

The top and bottom horizontal lines are 11 units long and the left and right vertical lines are 9 units long. Dilating the logo by a factor of one-half means that these lengths will grow longer by 50%. Hence the horizontal lines will get longer by 5.5 units and vertical lines will grow longer by 4.5 units. The diagonals should also increase in length accordingly.

Answer:

it is 45

Step-by-step explanation:

Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

Answer:

1.6 hours

Step-by-step explanation:

Number of opening hours a day = 8

Number of groups = 5

Dividing the number of opening. Hours equally among the 5 groups :

8 hours / 5

= 1.6 hours per group per day

Answer:

25.16 grams

Step-by-step explanation:

Amount Alan should pour more = Amount he wants to pour - amount he has poured

90.26 - 65.10 = 25.16 grams

Answer:

36 1/4 in³

Step-by-step explanation:

v = 3 5/8 * 2 1/2 * 4

Convert to improper fractions

v = 29/8 * 5/2 * 4/1

Cancel

v = 29/2 * 5/2 * 1/1

Multiply

v = 145/4

Reduce

v = 36 1/4 in³

Answer: d

Step-by-step explanation:

Answer:

Step-by-step explanation:

$2400 in labor

Answer:

A. A dilation with center (0,0) and scale factor [tex]\frac{1}{2}[/tex] maps ΔABC to ΔADE.

Step-by-step explanation:

Answer:

Irrational

Step-by-step explanation:

A rational number can be made by dividing two integers, thereby, 8.33865 is an irrational number.

Hope this helps!