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Han has 10 cubes, every 5 inches on a side.

Find the total volume of Han’s cubes. Express your answer as an expression using an exponent.

Find the total surface area of Han’s cubes. Express your answer as an expression using an exponent.

Answer:

104 degrees'

Step-by-step explanation:

Find the diagram attached

According to the theorem;

Angle at the vertex is half the angle at its intercepted arc

Given

Angle at the vertex = 52 degrees

Angle at the intercepted arc = arc QR

Hence;

52 = 1/2 arcQR

Cross multiply

52 * 2 = arcQR

104 = arc QR

Swap

arc QR = 104 degrees'

Answer:

C)104

Step-by-step explanation:

edg 2021

Answer:

your answer will be option A

Step-by-step explanation:

(8w^7x^-5y^3z^-9)-2/3

= (8)-2/3×(w^7)^-2/3×(x^-5)^-2/3×(y^3)^-2/3×(z^-9)-2/3

=(2^3)^-2/3×w^-14/3×x^10/3

xy^-2xz^6

=2^-2 w^-14/3 x^10/3 y^-2 xz^6

=1/4×1/w^14/3× x^10/3 xz^6/y^2

=x^10/3z^6/4w14/3y^2

hope it helps..

have a great day!!

Answer:

80 gallons

Step-by-step explanation:

32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.

Answer 80 gallons

Step-by-step explanation:

32 divided by 4 equals 8, we have now found the rate of change. We then multiply 10 by 8 because for every load of dish it uses 8 gallons. So that equals 80 gallons.

Answer:

m = 36

Step-by-step explanation:

.................

9514 1404 393

Answer:

  6x^3 +22x^2 +24x +8

Step-by-step explanation:

The dimensions of the larger box are ...

  (x+2), (2x+2), and (3x+2)

The volume is the product of these dimensions.

  V = LWH

  V = (x+2)(2x+2)(3x+2) = (x +2)(6x^2 +10x +4)

  V = 6x^3 +22x^2 +24x +8

The volume of the box is 6x^3 +22x^2 +24x +8.

Answer:

1.94 in

Step-by-step explanation:

The arc length formula is s = rФ.  Here, r = 5 in and Ф = 70°  But in this formula the central angle, Ф, must be in radians:

70°(1 rad)

-------------- = 0.389 rad

 180°

Thus, the arc length here is s = (5 in)(0.889 rad) = 1.94 in

Answer:

42.5

Step-by-step explanation:

The figure shown is a trapezoid

The area of a trapezoid can be calculated using this formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

The trapezoid has the following dimensions

base 1 = 7 m

base 2 = 10 m

height = 5 m

Given this information we plug in the values into the formula

[tex]A =\frac{7+10}{2} 5\\7+10=17\\\frac{17}{2} =8.5\\8.5*5=42.5 \\A=42.5[/tex]

So we can conclude that the area of the trapezoid is 42.5 square units

Answer:

245.56

Step-by-step explanation:

Answer:

4 (ignore this its for 20 characters

Answer:

A) 3 hours

Step-by-step explanation:

x = per hour

y = total

Dana:

y = 10x + 10

Tommy:

y = 9x + 13

Combined (Solve for x):

y = 10x + 10

y = 9x + 13 (Multiply by -1)

y = 10x + 10

-y = -9x - 13

0 = x - 3

x = 3

Answer:

it's either B=6.25-1.25r or it's r=5-0.8b

Answer:

2 * 5⁴

Step-by-step explanation:

Given :

Number of cubes = 10

Side length, a of each cube = 5

The volume of a cube = (side length)³

Hence, the volume of each of Han's cube = 5³

Therefore, the total volume will be :

Volume or cube * number of cubes

5³ * 10

10 = 2 * 5 = 2 * 5¹

5³ * 2 * 5¹

2 * 5^(3 +1)

2 * 5⁴

Answer:

5 and each group would be worth $2.10

Step-by-step explanation:

Sam has 24 quarters, 18 nickels, and 36 dimes. He wants to divide the coins into groups so that each group is worth the same amount of money. What is the greatest number of groups Sam can make using all the coins?

HURRY PLEASE

Convert this monies to dollar

Quarters - 24 x 0.25 = $6  

Nickels = 18 x 0.05 = $0.9

Dimes = 36 x 0.1 = $3.6

sum of these amounts = $10.50

the greatest group is 5 and each group would be worth $2.10

Answer:

The answer is 30.9 ft

Step-by-step explanation:

Answer: 30.9

Step-by-step explanation:

math nation told me.

Answer:

65

Step-by-step explanation:

65 because they alternate

AB=BA

65=115

115=65

idrk if tht makes sense tho lol

Given:

A diagram of a circle O, [tex]arc(AB)=y^\circ, arc(CD)=(80+y)^\circ[/tex].

To find:

The measure of arc DC.

Solution:

According to the angle of intersecting chords theorem:

Angle at intersection of chords = Half of the sum of intercepted arcs.

Let [tex]\theta [/tex] be the angle between the intersection of chords AC and BD.

[tex]\theta +112^\circ=180^\circ[/tex]      (Linear pair)

[tex]\theta =180^\circ-112^\circ[/tex]

[tex]\theta =68^\circ[/tex]

Using the angle of intersecting chords theorem, we get

[tex]\theta=\dfrac{arc(AB)+arc(CD)}{2}[/tex]

[tex]68^\circ =\dfrac{y^\circ+(80+y)^\circ}{2}[/tex]

[tex]136^\circ =(80+2y)^\circ[/tex]

On simplification, we get

[tex]136=80+2y[/tex]

[tex]136-80=2y[/tex]

[tex]56=2y[/tex]

Divide both sides by 2.

[tex]28=y[/tex]

Now,

[tex]arc(DC)=(80+y)^\circ[/tex]

[tex]arc(DC)=(80+28)^\circ[/tex]

[tex]arc(DC)=108^\circ[/tex]

Therefore, the correct option is C.

Answer: B, C and D

Explained:

17 * .06 = 1.02

So 15.98 - 18.02 are all within Lincoln’s estimate and error rate.

B, C and D are all within the 6% error rate. So the answers are B, C and D.

Answer:

m<1 =118 ~trust me I just finished this section

hope it helps you friend!!

Answer:

16.3

Step-by-step explanation:

There was a total of 48.9 pounds of cans and bottles

They were split evenly in 3 bags

Hence the number of each pounds in the bag can be calculated as follows

= 48.9/3

= 16.3

Hence 16.3 pounds are found in each bags

Answer:

300 × (1 + 0.10)^n

Step-by-step explanation:

The computation is shown below:

Given that

The population is 300

And, the population would be increased at a rate of 10% each year

So, the exponential growth function to calculate the daily growth rate is

= 300 × (1 + 0.10)^n

Here n represent the number of years or the time period

So, the above show the exponential growth function

Answer:

Step-by-step explanation:

The units are cubic feet or ft^3

V = L * W * H

L = 5.2

W = 4

H = 3.5

All dimensions are in feet.

V = 5.2 * 4 * 3.5

V = 72.8 ft^3

Answer:

[tex]tan(\theta) = \frac{3}{4}[/tex]

Step-by-step explanation:

Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.

[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]

In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.

[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]

Answer:

f = 2x + 24/ 3

Step-by-step explanation:

Step 1: Divide both sides by x.

fx/x = 2/3 x^2 + 8x/x

f = 2x + 24/3

Answer:

C

Step-by-step explanation:

You combine like terms and then order them according to their exponents (order)

Since the 4 has a negative but is going to get subtracted it becomes positive and therefore added

2[tex]x^5[/tex] +(7x³ + 4x³) - 5x² = 2[tex]x^5[/tex] + 11x³ - 5x²

Answer:

64 = 0.8 x w

Step-by-step explanation:

Because you are taking 80 percent of a number (w * 80%) and the answer is 64, it is 64 = 0.8 x w

Answer:

your answer is 7.5 meters sorry i got to this late

Step-by-step explanation: