find the width of a rectangular prism if the volume is 165,000 mm3 the length is 100mm and the height is 55 mm​

Answer:

7/25

Step-by-step explanation:

Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]

As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]

To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].

Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]

Answer:

See below ~

Step-by-step explanation:

Answer:

[tex] - 3 \leqslant x \leqslant 5[/tex]

Answer:

$10459.19

Step-by-step explanation:

The location with the greatest amount of rainfall is Beaumont, while the location with the least amount is El Paso.

The first step is to make sure to use the same units. Due to this, let's convert everything to meters.

Based on this, Beaumont has the greatest amount of rainfall and El Paso has the lowest amount of rainfall.

The ratio for these places are 1.5 to 0.2 or 1.5/ 2 = 0.7. This ratio implies that there is a difference of 0.7 meters in the amount of rainfall in these places.

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The other person is right, I used this and it worked.

Answer:

Here is the answer hope it helps:)

Answer:

8/37

Step-by-step explanation:

The total number of handballs in the container is

4+5+8+9+11 = 37

Since there are 8 yellow handballs, the probability of selecting a yellow handball is 8/37.

Answer: 324.02

Step-by-step explanation:

Radius 51.57

Answer:

5x² + 9x - 10

Step-by-step explanation:

To completely simplify this equation, add all like terms.

3x² - 5 + 1 + 2x² + 9x - 6

= 5x² + 9x - 10

hope this helps :)

Answer:

38.77 yd³

Step-by-step explanation:

The volume of the sphere can be determined by using the formula 4πr³/3.

[Where "r" is the radius of the circle].

We are given that:

Radius of circle = 2.1 yd

When we substitute the radius in the formula, we get;

⇒ 4 × π × (2.1)³/3

Let π be substituted as 3.14. Then;

⇒ 4 × π × (2.1)³/3

⇒ 4 × (3.14) × (2.1)³/3

When evaulating the cube of 2.1, we get;

⇒ 4 × (3.14) × (2.1)³/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

When simplified, we get;

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)

⇒ 4 × (3.14) × (4.41) × (0.7)

⇒ (12.56) × (4.41) × (0.7)

⇒ 38.77272 ≈ 38.77 yd³          (Rounded to nearest hundredth)    

Therefore, the volume of the sphere is 38.77 yd³.    

Answer:

O B. 120 cm2

Step-by-step explanation:

2×(6×6 + 6×2 + 6×2) = 120 centimeters2

Answer:

Step-by-step explanation:

We are looking for the combination of 7 out of 15.

This is written as

This is calculated as

Correct choice is A

Answer: 15 dimes 12 nickels 12 pennies 7 quarters?

Step-by-step explanation:

Answer:

31.9 grams

Step-by-step explanation:

35 - 3.1 = 31.9 grams

Hope this helped you!

Answer:

Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units

Step-by-step explanation:

Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:

In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .

In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .

In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .

In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.

A linear model always represents a straight line which is x + y = c. Then the correct option is A.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A linear model is given as

x + y = c

In the linear model, the power of the variable is one and the equation represents on the graph as a line.

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Answer:

823

Method 1

Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)

197 = 1 hundred, 9 tens, 7 units

203 = 2 hundreds, 0 tens, 3 units

423 = 4 hundreds, 2 tens, 3 units

Units: 7 + 3 + 3 = 13

Tens: 9 + 2 = 11 tens = 110

Hundreds: 1 + 2 + 4 = 7 hundreds = 700

Add these together: 700 + 110 + 13 = 823

Method 2

First add 203 to 197:

Borrow the 3 from 203 and add it to 197:  197 + 3 = 200

Add the remaining 200:  200 + 200 = 400

Now add 423 to 400:  400 + 423 = 823

⇒ 203 + 197 + 423 = (203 + 197) + 423

                                = 400 + 423

                                = 823

35 is 78% of 45

Sure hope this helps you

Answer:

36 pizzas

no sauce left over

Step-by-step explanation:

Take the total amount and divide by 4

144/4 =36

The cook can make 36 pizzas

Ther is no sauce left over

Answer:

  (d)  2sin(2θ +π/4) -1

Step-by-step explanation:

The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.

__

The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...

  2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match

or

  2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D

_____

Additional comment

In the form ...

  g(x) = K·f(C(x -A)) +B

the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.

__

The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.

Answer:

28 < 29 < 30

Step-by-step explanation:

29 - 1 = 28

29 + 1 = 30

Then

The integer 29 is between the two integers 28 and 30

Answer:

17x-15

Step-by-step explanation:

I think.

Answer:

17x+19

Step-by-step explanation:

20x+17-(3x-2)  (Set up the equation)

20x+17-3x+2  (Distribute the negative to both, double negative cancel out)

17x+19   (Combine Like terms)

Answer:

First you have to multiply negative four in parentheses, then add minus two

-4×(-8+3x)=32-12x

2+32-12x=34-12x

34-12x=82

-12x=48

x=-4

Answer:

25cm

Step-by-step explanation:

5 x 5 its not that hard

Answer:

59304

Step-by-step explanation:

4.11x 10⁴=41100, 9.6 =( 1+9.6/100)=1.096

x(n)−population after n years

x(n)=x(0)×1.096^n=41100x1.096^n

x(4)=41100×1.096⁴=59304.007

= 59304

An equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].

Given that, a town has a population of [tex]4.11\times10^4[/tex] and shrinks at a rate of 9.6% every year.

If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100} )^n[/tex]

Now,

[tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex]

⇒ [tex]x(4)=4.11\times10^4(1+0.096)^4[/tex]

⇒ [tex]x(4)=41100\times(1.096)^4[/tex]

⇒ x(n)=41100×1.443

⇒ x(n)=59307.3

Therefore, an equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].

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Answer: 55°

Step-by-step explanation:

The angle is in between 50° and 60°

Answer:

55°

Step-by-step explanation:

One ray lies on the 0° mark and the other lies on the 55° mark. To find the measure of the angle, find the difference between the greater angle and the lower angle. 55° - 0° = 55°

Answer:

70 kilometers

Step-by-step explanation:

if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.

Answer:

there is 13 whole number between 25 and 38

Answer:

c

Step-by-step explanation: