Emil is cutting a 72-inch-long board and a 54 in long board into shelving. He wants to make as many shelves as he can while using up all the wood. What is the longest possible length of the shelves?

Answer:

Your answer is 15.

Step-by-step explanation:

I've done this before and got it right

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

15^2+8^2=missing side^2

225+64=missing side^2

[tex]\sqrt{289[/tex]=missing side

17=missing side

Answer:

Let M = Maggie's age

B = Brother's age

Then  M + B = 32

B = 2M - 7        

Then   M + 2M - 7 = 32

3M= 39 = 13

M= 13

Maggie is 13.

Step-by-step explanation:

Brainly?

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

[tex] Energy = power * time [/tex]

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

Energy consumption = 112 KWh

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

Electrical consumption = 111 KWh

Answer:

Perimeter you add up all the sides.  If it is a horizontal or vertical line, you just write those values for the side lengths.  For the slanted one, I would use pythagorean theorem to solve it.

Step-by-step explanation:

If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12.  Find the square root of the sum of a squared plus b squared.  That will tell you C.  Then add C to the other 3 sides and that will give you the perimeter.

Answer:

<H = 40

Step-by-step explanation:

Complementary angles add to 90 degrees

2x+10 + x+20 = 90

Combine like terms

3x+30 = 90

Subtract 30

3x+30 -30 = 90-30

3x = 60

Divide by 3

3x/3 = 60/3

x = 20

<H = x+20 = 20+20 = 40

Answer:

(-2,5)

Step-by-step explanation:

When a point is rotated  counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).

Here, (5,2)→(-2,5)

Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

if this helped you can you slide a Brainliest :)

Answer:

Step-by-step explanation:

360/2=180

5x+4x=180

9x=180

x=20

5×20:4×20

100:80

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

Answer:

D.$.137.50

Step-by-step explanation:

$137.50*2=275.00+60=335

Answer: D

Step-by-step explanation:

335-60 = 275/2 = 137.5

Answer:

What's my age im 1300

Step-by-step explanation:

Answer:

The sides are of lengths 10, 18, 20

Step-by-step explanation:

Perimeter = 48

Lengths of the sides

5:9:10 * (48/(5+9+10)  = 5:9:10 * (48/24) = 10:18:20

The sides are of lengths 10, 18, 20

Answer:

[tex]c=13feet[/tex]

Step-by-step explanation:

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]c^{2} =5^{2} +12^{2}[/tex]

[tex]c^{2} =25+144[/tex]

[tex]c^{2} =169[/tex]

[tex]c=\sqrt{169}[/tex]

[tex]c=13feet[/tex]

Hope this helps,

Have a great day ahead :)

Answer:

D

Hope that this helps!

Answer:

end -8 and move -3 . start at -8 and move -3

Answer:

40 months

Step-by-step explanation:

It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).

Answer:

Time = 42 months

Step-by-step explanation:

[tex]Monthly \ payment = [rate + \frac{rate}{(1 + rate)^{month}-1}] \times principal[/tex]

Monthly payment = 300

Principal = 12000

[tex]Rate \% = \frac{300}{12000} \times 100 = \frac{30}{12} = \frac{5}{2} = 2.5[/tex]

Substituting and solving Months = 42 months

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer

Answer:

51

Step-by-step explanation:

166-13=153

153/3=51

51

sorry if that didn't make sense, that is just how i solved it

[tex]\sf\purple{24}[/tex] ✅

Step-by-step explanation:-

[tex] - 12 \times 2 \times - 1 \\ = 24[/tex]

Note:-

[tex]( - \times - ) = + [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

10

Step-by-step explanation: can u tell me if am right

Answer:

22?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The midsegment AC is half the sum of the parallel bases, that is

AC = [tex]\frac{DF+EB}{2}[/tex] , then

x = [tex]\frac{13+9}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11 → D

Answer:

bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.

Answer:

2/5 of 75 is 30 thats all i have for because i am haveing trouble with the same question

Step-by-step explanation:

============================================================

Explanation:

The area 81pi square meters leads to the radius 9 meters

Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.

-----------------

Once you know the radius, you can determine the circumference C

C = 2*pi*r

C = 2*pi*9

C = 2*9*pi

C = 18pi

The circumference is the perimeter, or distance, around the circle.

Answer:

Complementary angles sum to 90°.

∠X has ∠P complementary to it as:

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

Answer:

Volume - 452.16 cm

Step-by-step explanation:

First we need to find the area of the circle.

Area of a circle - (3.14)r^2

Insert the radius in the formula -

(3.14) (4)^2

3.14 x 16

50.24 is the area of the circle

Now, we have to multiply this value by the height of the cylinder in order to find the volume.

50.24 x 9 = 452.16 cm

Answer:

$960

Step-by-step explanation:

simple interest = [tex]\frac{P R T}{100}[/tex]

= [tex]\frac{4000*6*4}{100}[/tex]

= $960

I = PRT

I = 4000×0.06×4= 960

Interest = 960 dollars

Answer:

x               y

1               5

0.8 (4/5)   4

0.4 (2/5)   2

Step-by-step explanation:

Plug in the y values for y and solve

Answer:

7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer and Step-by-step explanation:

We are given a linear pair. The angles of a linear pair add up to 180.

To find x, add the two angles together and equal it to 180, then solve for x.

126 + x + 23 = 180

Simplify.

149 + x = 180

Subtract both sides of the equation by 149.

x = 31

x = 31 is the answer.

#teamtrees #PAW (Plant And Water) #ALM (All Lives Matter)

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)