Youre supposed to match it

A box can be filled completely using 16 layers of 7 units cubes. What is the volume of<br> the box?

svetlana [45]

Answer:

El volumen es la cantidad de espacio tridimensional que ocupa un objeto. El volumen se mide en unidades cúbicas.

Por ejemplo, el siguiente prisma rectangular tiene un volumen de 181818 unidades cúbicas porque está hecho de 181818 cubos unitarios.

Step-by-step explanation:

6 0

3 years ago

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How do you use the keyboard on the computer to write exponents and other algebraic symbols

ICE Princess25 [194]

You will have to type it into Microsoft word first, type a number or algebraic expression into a Word document. Press the "Ctrl," "Shift" and "=" keys on your keyboard to turn on the Superscript mode. Enter another number or expression signifying the exponent.

Hope this helps! :)

7 0

4 years ago

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

Alex17521 [72]

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

$0.05+0.35x = 0.075 + 0.15x$

$0.2x = 0.025$

$x =\frac{0.025}{0.2}$

$x=0.125$

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

3 0

3 years ago

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Y - 4x = -2<br> 2y - 8x = -4

Fudgin [204]

Answer:

Using substitution method

First make y in equation 1 the subject of formula

Y=4x-2

Sub in equation 2

2(4x-2)-8x=4

8x-4-8=4

8x=4+12

8x=16

X=2

Sub in any of equation to get y

Step-by-step explanation:

Y =4(2)-2=6

3 0

3 years ago

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PLEASE HELP

larisa [96]

Answer:

1.) not safe

2.)

$18 \sqrt{3}$

Step-by-step explanation:

1.) given the length of the ladder = 15ft.

and the height to the top of ladder when leaned against a wall is 14.8ft. This all forms a right triangle.

with what we are given we can solve for the angle it creates from the ground to the leaned ladder by using the SOHCAGTOA. Whike we do this keep in mind its not safe for a ladder to create an angle more than 70 degrees.

in this case if we are solving for the angle where the height is opposite we will use SOH. because we know the oposite and the hyp. Sin(theta) = opp/hyp

$\sin(theta) = \frac{14.8}{15}$

$sin^{ - 1} ( \frac{14.8}{15} ) = 81 \: degrees$

therefore not safe.

2.)

your givin 90 and 60. remember all interior angles add up to 180.

therefore 30 would be the unknown angle.

knowing that we use the <u>chart</u> at the top.

across from 30 is 6. so we put that by x. (remember we are doing this to find the height for our area of a triangle formula = base time height devide by 2.)

we need to find the height so since we kmow what x is we know what is across from 60 which is

$6 \sqrt{3}$

so we plug that into our formula for area of triangle and u should get 18

$\sqrt{3}$

5 0

4 years ago