Write one hundred twenty-one and twenty one thousandths in decimal notation.

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Answer:

Student B

Step-by-step explanation:

Proportional relationship means that it follows a certain pattern or is constant.

Student B was the only relationship to be constant as it goes by multiples of 6.

Ex. 6, 12, 18, 24, 30.

Answer:

Student B

Step-by-step explanation:

Student B's wages increase by 6 each time, but Students A, C, and D do not steadily increase. The steady increase of 6 for Student B is what makes their wages proportional.

Answer:

I'm pretty sure the answer is the last one;

6 x (40+2) = (6 x 40) + (6 x 2)

The 6 is distributed to the 40 and the 2

Answer:

4z:5p

4+5=9

10/9=1.11111...

1.11111*5=5.55555......or 50/9 or 5 5/9

Step-by-step explanation:

Answer:

guess what I don't know

Step-by-step explanation:

Answer:

Y-intercept

Step-by-step explanation:

Because they both meet

Answer:b

Step-by-step explanation:

Answer:

1/2 and 6/1

i belive you cross multiply

so you would get 12/1

so n=12

hopw i helped

Step-by-step explanation:

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 / (2/3) = 2 * 3/2 = 6/2 = 3

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

y = 8/6x + 10/3

Step-by-step explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2)   over   (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3

Answer:

40

Step-by-step explanation:

so (48/120)× 100%=40%

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

Find out more information about 'Cone'.

https://brainly.com/question/16394302?referrer=searchResults

Answer:

67

Step-by-step explanation:

Answer:

y=3.5572205

x=0.1114441

Step-by-step explanation:

Answer:

9/4 or 2 1/4

Step-by-step explanation:

2 7 /8 -5/8 which gives you 9/4

Answer:

Here you go! Hope it helps!

Step-by-step explanation:

Answer:

1) m= 12/7

2) k= -  81/16

Answer:

1. 1 5/7

2. -5 1/16

Step-by-step explanation:

1. Solve for M by simplifying both sides of the equation then isolationg the variable.

2. Solve for K by simplifying both sides of the equation then isolationg the variable.

  Answer:

x = −1

y = −2

Step-by-step explanation:

Do you need answers to all of them of some of them?

1. (4.5×10¹²)÷(9×10^10)

(45×10^-1×10¹²)÷(9×10^10)

(45×10¹¹)÷(9×10^10)

(45÷9)×(10¹¹÷10^10)

5×10

if you need help with the others kindly let me know

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]

Answer:

[tex]m\angle WZY = 24^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows two triangles WXZ and WYZ. Considering:

* Angles WXZ and WYZ are right (90°)

* Sides XW and YW are congruent (red marker on both)

* They share the side WZ.

We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:

5x + 4 = 6x

Subtracting 5x:

4 = x

Or, x =4

Thus:

[tex]m\angle WZY = 6x = 24^\circ[/tex]

[tex]\mathbf{m\angle WZY = 24^\circ}[/tex]

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Answer: 32 and 85

Step-by-step explanation:

Darius set the price between $32 and $85.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

Given:

We have the graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.​

For the expected revenue = 32 the cost is $5539.

and, For the expected revenue = 85 the cost is $4062.

and there is a peak at expected revenue 52.

Then, for profit Darius set the price between $32 and $85.

Learn more  about Graph here:

https://brainly.com/question/17267403

#SPJ5

Answer:

877.40

Step-by-step explanation: