Find the volume of the cube in inches 3^ below. Then select the correct units
when entering your answer.

4 in.
4 in.
4 in.

Answer:

[tex]153\ in^2[/tex]

Step-by-step explanation:

1. Approach

Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.

2. Area of the trapezoid

The first figure is a trapezoid, calculate its area by using the following formula,

[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]

Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.

[tex]A_t = \frac{16 + 5}{2}(10)[/tex]

Simplify,

[tex]=\frac{21}{2}(10)[/tex]

[tex]=10.5(10)[/tex]

[tex]=105[/tex]

3. Area of the rectangle

The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,

[tex]A_r =(b)(h)[/tex]

Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,

[tex]A_r=(16)(3)[/tex]

Simplify,

[tex]=48[/tex]

4. Find the total area

Now add up the values for the area of each figure. The result will be the total area of the figure,

[tex]A_t + A_r = A[/tex]

Substitute,

[tex]105 + 48 = A[/tex]

Simplify,

[tex]153 = A[/tex]

Answer:

I can barely see it can you make it bigger somehow

Step-by-step explanation:

Answer:

86.33 square micrometers

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

The formula for the Surface Ares mma is given as :

A=a² + 2a √a²/4+ h²

a = base edge = 5 micro meters

h = height = 5.6 micro meters

=5²+2× 5 × √5²/4+ 5.6²

= 86.32699 square micrometers

≈ 86.33 square micrometers

Answer:

17

Step-by-step explanation:

8^2 + 15^2 = c^2

64 + 225 = c^2

√289 = c

c = 17

Answer:

yes the answer is 17

Step-by-step explanation:

all you have to do for next time is a^2+b^2=C^2

a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs

Answer:

y = (x - 4)(x + 2)

Step-by-step explanation:

Quadratic Formula:

Substitute 1 for a, -2 for b, and -8 - y for c in the quadratic formula.

Answer:

[tex]y= (x-4)(x+2)[/tex]

Step-by-step explanation:

To factor polynomials you have to use FOIL. Which stands for First, Outer, Inner, and Last. This means that you have to multiply the first numbers of each part by each other, the outer two between both parts, the inner two between both parts, and the last two of each part, respectively. Then, you would simplify. If you go and do this for each answer choice, the last one would be the only correct one.

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Answer:

6w-24

Step-by-step explanation:

You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24

Answer:

(w - 4)6

Step-by-step explanation:

its the same exact thing but if you're looking for the simplified version then it's 6w-24

Answer:

A. SSS

Step-by-step explanation:

Answer:

-11.9

Step-by-step explanation:

plz crown

Answer: 11.9

Step-by-step explanation: you have to subtract the 2 numbers

Answer:

2 1/10 x 4 1/5 x 3 1/2 = 30 87/100 feet

(Remember multiply one by one first multiply 2 1/10 x 4 1/5 = 8 41/50

then multiply 8 41/50 with 3 1/2 to get = 30 87/100 is your answer)

Step-by-step explanation:

Just multiply the given lengths. A 3 dimensional shape has to be given 3 sides in order to know the area/volume: Length x Width x Height

directly varies for that mean if y increases x will increase too and the other way around if y decreases x will decrease too.

an easy way to solve this is to make all values into fraction ik it sounds confusing lemme explain it. so if we say [tex]\frac{x}{y}[/tex] and add the values of the known [tex]\frac{3}{9}[/tex] we can say that if [tex]\frac{x}{15}[/tex] is equal to [tex]\frac{3}{9}[/tex]

now we just solve it for x

[tex]\frac{x}{15} = \frac{3}{9} \\9x = 45\\x= 5[/tex]

hence when y is 15 x will be 5

Answer:

hindi ko alam yan wala akong pakialam

Step-by-step explanation:

tanga tanga

Answer:

( 0, - 2 )

Step-by-step explanation:

Mid point formula : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

Therefore,

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

Therefore,

x2 = 4

y2 = - 2

Midpoint of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.

What is the Midpoint of a Line?

The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.

Mid point formula is  given as : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

x2 = 4

y2 = - 2

now using Midpoint formula to find the coordinates of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

Therefore, the midpoint of AC is ( 0, - 2 )

Read more about Midpoint of a Line at :

https://brainly.com/question/14687140

#SPJ5

Answer:

112

Step-by-step explanation:

lol not 100% sure

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

4cm ×cmohx9ufochohcohcohc

Answer:

4in^3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

No she is not correct .

Step-by-step explanation:

Given

-2(3x-3)=-6x+1

simplify the right hand side

-6x+6 that is not equal to -6x+1

Answer:

∠ GHE = 40°

Step-by-step explanation:

∠ IHE and ∠ GHE are adjacent angles and are supplementary, then

∠ GHE + ∠ IHE = 180°

∠ GHE + 140° = 180° ( subtract 140° from both sides )

∠ GHE = 40°

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

brittany would be 10 years old because

 if jazmine is 15 years older than alyssa than alyssa would be 20

and then alyssa is twice as old as brittany

so britany is 10 years old because 10x2=20

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the volume of the cone is

V=  πr²[tex]\frac{h}{3}[/tex]

Answer:

irrational

Step-by-step explanation:

reason

[tex] - \frac{5}{52} [/tex]

Answer:

a. x = 22

b. Perimeter = 100

Step-by-step explanation:

a. Based on the proportionality theorem, we have the following:

(2x - 4)/8 = (36 - 6)/6

(2x - 4)/8 = 30/6

(2x - 4)/8 = 5

Cross multiply

2x - 4 = 8*5

2x - 4 = 40

2x = 40 + 4

2x = 44

x = 44/2

x = 22

b. Perimeter of ∆JKL = KJ + KL + JL

KJ = 2x - 4 + 8

Plug in the value of x

KJ = 2(22) - 4 + 8

KJ = 44 - 4 + 8 = 48

KL = 36

JL = 16

Perimeter = 48 + 36 + 16

Perimeter = 100