Which of the following is true because of the Commutative Law of Addition?


2 + 11 + 16 = 11 + 16 + 2


2 + 11 + 16 = 20 + 9


2 + 11 + 16 = 29


2 + 11 + 16 = 2 + 11 + 16

Answer:

The correct answer option is B. 0.21.

Step-by-step explanation:

We are to find the value of [tex]cos \theta[/tex] using the law of cosines.

We know that the formula of the cosine rule is given by:

[tex] c ^ 2 = a ^ 2 + b ^ 2 - 2 a b cos C [/tex]

So substituting the given values in the above formula:

[tex] 10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C [/tex]

[tex]118.81=33.64+110.25-121.8cosC[/tex]

[tex]118.81 - (33.64+110.25) = -121.8cosC[/tex]

[tex]118.81-143.86=-121.8cosC[/tex]

[tex]cosC=\frac{-25.05}{-121.8}[/tex]

cos C = 0.21

Answer:

B. 0.21

Step-by-step explanation:

Answer:

[tex]\$16.64[/tex]

Step-by-step explanation:

we know that

The exponential function while the player is still active is equal to

[tex]y=3(1.07)^{x}[/tex]

where

y ----> is the value of the baseball card

x ----> the time in years

Find the value of y for x=7 years (7 years still active)

[tex]y=3(1.07)^{7}=\$4.82[/tex]

After 20 years

x=20-7=13 years (13 years retired player)

The initial value is [tex]\$4.82[/tex]

The new equation is equal to

[tex]y=\$4.82(1.1)^{x}[/tex]

substitute

x=13 years

[tex]y=\$4.82(1.1)^{13}=\$16.64[/tex]

No, it has more than one. A rectangle is symmetric with respect to its diagonals, and the lines connecting the midpoints of two opposite sides.

Answer:

x=76°

Step-by-step explanation:

When these lines are parallel, these two angles would be alternate interior angles. This means that they must be congruent

Therefore, x=76°

Answer:

76°

Step-by-step explanation:

Through Alternate Interior Angles theorem.

This theorem is applied when lines a and b are parallel.

Answer:

18 pieces

Step-by-step explanation:

Divide the 3 yd string by 1/6:

[tex]\frac{3}{\frac{1}{6} }[/tex]

Rewrite that to look a little more manageable:

[tex]\frac{3}{1}[/tex]÷[tex]\frac{1}{6}[/tex]

And of course you know that if you want to divide fractions, you flip the one on the bottom upside down and change the sign to multiplication:

[tex]\frac{3}{1}[/tex]×[tex]\frac{6}{1}[/tex]

Do that multiplication and you get 18 pieces.

Answer:

18

Step-by-step explanation:

Answer:

(x−4)² + (y−5)² = 36

Step-by-step explanation:

The equation of a circle is:

(x−h)² + (y−k)² = r²

where (h, k) is the center and r is the radius.

If the center is (4, 5) and the radius is 6, then the equation is:

(x−4)² + (y−5)² = 6²

(x−4)² + (y−5)² = 36

Answer:

Area of a kite = 34.3 ft^2

Step-by-step explanation:

a kite has diagonals 9.8 ft and 7 ft

WE are given with the diagonals of the kite

Area of a kite = diagonal 1 * diagonal 2 /2

diagonal 1= 9.8 ft

diagonal 2 = 7ft

Area of a kite =  [tex]\frac{9.8 * 7}{2}[/tex]

Area of a kite= 34.3 square feet

Answer:

19/12 or 1 7/12 lbs

5/6 + 3/4

Find a common denominator, aka least common multiple

So, 5/6 becomes 20/24 and 3/4 becomes 18/24

20/24 + 18/24 = 38/24 which simplifies to 19/12 or 1 7/12

Answer:

19/12 pounds which is equal to 1.583 pounds

Step-by-step explanation:

The total pounds of beans bought is a function of the amount of black beans and the amount of pinto beans. These two added together gives the amount of beans bought.

Given,

Amount of black beans = 5/6 pounds

Amount of Pinto beans = 3/4 pounds

Total pounds of beans purchased = 5/6 + 3/4

=(10 + 9)/12

= 19/12 pounds

= 1.583 pound

Answer:

Step-by-step explanation:

let x be the price of the stock

the change in price is x+6-8

the equation is x-2, integer is -2

Hi there, Queen Tima! I hope you're having a great day today!!

You selected the correct boxes!

If I helped out please consider helping me out back by giving me brainliest! Thank you :DD

-Austin <3

Answer:

I would think it's all correct. Not sure about option 2. but I'm 99% sure it's right

Hope this helps :)

Sorry if i'm wrong

Please mark brainliest :D

Answer:

Option b.  sum of all areas of faces

Step-by-step explanation:

we know that

The surface area of the prism is equal to the area of its bases plus the area of its four rectangular lateral faces

so

[tex]SA=2B+PH[/tex]

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

therefore

sum of all areas of faces

Answer:

Option B would be correct.

Step-by-step explanation:

The general formula for the total surface area of a right prism is T. S. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base. There is no easy way to calculate the surface area of an oblique prism in general.

To find the total surface area of a prism, you need to calculate the area of two the polygonal bases i.e. the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Therefore, it would be option B.

Answer:

593.0 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of triangular end face × length

A of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 10.2 and h = 10. 2

A of Δ = 0.5 × 10.2 × 10.2 = 52.02 cm², hence

V = 52.02 × 11.4 ≈ 593.0 cm³

All of the right triangles are similar by AA similarity, so corresponding side lengths are proportional. The ratio of the long leg to the short leg is the same for the two smaller triangles, for example:

  CP/AP = MP/CP

  CP/9 = 16/CP . . . . . fill in the given numbers

  CP² = 9·16 . . . . . . . multiply by 9·CP

  CP = 3·4 = 12 . . . . . take the square root

Now, you can use the Pythagorean theorem to find AC and/or CM.

  AC = √(9² +12²) = √225 = 15

  CM = √(12² +16²) = √400 = 20

In summary, CP = 12, AC = 15, CM = 20.

_____

Once you have CM, you can see these are 3-4-5 right triangles, so you can determine the other lengths by using these side ratios.

  3:4:5 = 9:12:15 = 12:16:20

_____

The altitude CP is called the "geometric mean" of AP and MP. It is the square root of their product. This is true for any right triangle, not just one with sides in the ratio 3:4:5. If you know this, you can write down your answers almost immediately. Above, we had to derive this fact using similarity.

Answer:

3sqr(x) root is 0

Step-by-step explanation:

Answer:

  225 cm²

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

  area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²

Answer:

6 performances

Step-by-step explanation:

They already made $1200, so 5000-1200= $3800 left that they need to make, so you need to divide: 3800/700=6 performances to break even (rounded up to the nearest whole number).

Answer: C. 4

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

because 75-20= 55 cuz 20 were used

55-12= 43 cuz then 12 more were used

43+25= 68 cuz 25 was added

so 68

Answer:

Choice A. [tex]\frac{7\sqrt{x}}{6}[/tex] is the correct choice.

Step-by-step explanation:

Given expression for the quotient is [tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex].

Now we need to find the equivalent choice of [tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex].

So let's find that by rewriting them inside same radical

[tex]\frac{\sqrt{98x^3}}{\sqrt{72x^2}}[/tex]

[tex]=\sqrt{\frac{98x^3}{72x^2}}[/tex]

[tex]=\sqrt{\frac{49x^3}{36x^2}}[/tex]

[tex]=\sqrt{\frac{49x}{36}}[/tex]

[tex]=\frac{7\sqrt{x}}{6}[/tex]

Hence choice A. [tex]\frac{7\sqrt{x}}{6}[/tex] is the correct choice.

Answer:

Step-by-step explanation:

Surface area is square units, so you would need to square the scale factor.

The length was tripled, which means it is a scale factor of 3

3^2 = 9

The surface area would increase by a factor of 9.

The answer is B.

Answer:

  see below

Step-by-step explanation:

You want terms that have a common ratio of 3, so the term in the summation will be 3 to some power. Only the first expression matches that requirement.

You can try different values of n to see if they fit the problem description.

  n = 1: 1(3)^0 = 1(1) = 1

  n = 2: 1(3)^1 = 1(3) = 3

  n = 3: 1(3)^2 = 1(9) = 9 . . . . . the third triangle in the set has 9 shaded triangles, as this expression predicts. Thus, we see the problem description being matched by the first answer choice shown.

Answer:

A

Step-by-step explanation:

egde 2020

Answer:

Below

Step-by-step explanation:

The dish had intially 2500 bacteria. The bacteria triples every month.

So after a month the number will be 7500 =>(2500×3)

So let 2500 be the n0 and 7500 be n1

● n1 = 3×n0

Following the same way we get:

● n2= 3× n1

● n3 = 3× n2

If we kept repeating the same process we will get:

● n9 = n8 × 3

n9 is the number of Bacteria during the 10th month

let's calculate n9.

● n9 = n8 × 3

● n9 = n0 × 3^10

● n9 = 2500 × 3^10

● n9 = 147 622 500

● n9 = 1.476225 ÷ 10^8

The number of bacteria will be 147,622,500 in 10 months according to the GP.

A geometric progression (GP), sometimes known as a geometric sequence, is a series of integers that differ by a common ratio.

Given, The dish had initially 2500 bacteria. The bacteria triples every month. So after a month, the number will be (g1) = 2500 * 3 = 7500. Since data is in geometric progression where ratio (r) is 3 and first term (a) is 7500.

Hence, the nth term of GP (Tₙ)  = a * rⁿ⁻¹

10th term of Given GP (T₁₀) = 7500 * 3¹⁰⁻¹ = 147,622,500

Therefore, 147,622,500 bacteria will be there in the petri dish after 10 months

Learn more about Geometric progression here:

https://brainly.com/question/12687794

#SPJ5

Answer:

-2u + w ⇒ answer B

Step-by-step explanation:

* To solve this problem you must find the result from the graph

- The ray move from the origin 6 units to the left and then 1 unit up

∴ The result is <-6 , 1>

* Now lets check which answer give the same result

∵ u = <5 , -5> , v = <1 , -4> , w = <4 , -9>

# Answer A: w - 2v

∵ w = <4 , -9>

- Find 2v by multiply v by 2

∵ 2v = 2<1 , -4> = <2 , -8>

- Subtract 2v from w

∴ w - 2v = <4 , -9> - <2 , -8> = <(4 - 2) , (-9 - -8)> = <2 , -1> ≠ <-6 , 1>

# Answer B: -2u + w

∵ u = <5 , -5>

- Find -2u by multiply u by -2

∵ -2u = -2<5 , -5> = <-10 , 10>

- Add -2u and w

∵ w = <4 , -9>

∴ -2u + w = <-10 , 10> + <4 , -9> = <(-10 + 4) , (10 + -9)> = <-6 , 1> = <-6 , 1>

∴ The answer is B

Answer:

your answer would be b

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

4 pairs of shoes = $80

( ÷ 4 to get the price of one pair of shoes)

1 pair of shoes = $20

( × 7 to get the price of 7 pairs of shoes )

7 pairs of shoes = $140

ANSWER

Subtract 3-1

EXPLANATION

The given line segment has endpoints at (1,6) to (3,6).

This line is a horizontal straight line because the y-coordinates of both points are the same.

We can therefore use the number line method to find the length of this line segment.

Using this method, we subtract the initial x-value from the terminal x-value.

The best description is:

Subtract 3-1

Answer:

15.04

Step-by-step explanation:

.06 % of 16 is .96 and 16- .96= 15.04

Hope this helps!

The answer is 15.94!!

I hope this diagram explains it and helps you :)

Answer:

Angle D = arc tangent (72 / 21)

Angle D = arc tangent (3.4285714286)

Angle D = 73.74 Degrees

and to the nearest degree it's 74

Step-by-step explanation:

Answer:

the prices and quantity in an entire market.

Step-by-step explanation:

The supply schedule shows the supply changes when the prices are increased or decreased. There is a table which is called market supply schedule or inventory. It lists the amount contributed for a product or service that the suppliers of whole economy are willing and able to supply at all possible prices.

Answer:

B....the prices and quantity in an entire market

Step-by-step explanation:

took test

Answer:

A

Step-by-step explanation:

You take the number of shirts you have and are focusing on. In this case concert (12) and divide it by the total number of shirts to get the expected.

You can use the fact when random picking of t shirts happen, the probability of picking the Concert shirt can be taken by number of concert t shirts in total number of shirt since there is no bias towards a particular t shirt except their frequency.

The frequency of  concert shirts obtained out of selected shirts compare to the expected frequency of the concert shirt as:

Option A: The frequency is 1 fewer that expected.

Suppose there are 100 fruits and 50 of them are apples and 50 other are mangoes. Then we can say that each one of the two fruit is apple and other one is mango. This 1 apple per 2 fruit is telling frequency of apples in selected 2 fruits.

Frequency is number of amount that item is present in the selected group.

The expected frequency can be obtained by seeing how many such objects are available to how many total objects.

You can think of expected frequency as how many of the considered object we expect to be present in the total amount of objects.

Thus, we have:
Expected frequency for concert shirt is 12 per 30 shirts or 4 per 10( i divided by 3) shirts or 2 per 5 shirts ( divided by 2). You can convert this to percent or probability too or ratio too like

2:5 = 2/5 = 0.4 = 40% (all four represent how many of the concert shirts are expected to be present out of amount of total shirts selected).

The frequency obtained from the selection contains 3 concert shirts out  of 10 selected shirts.

Since the expected frequency of the concert shirts per 10 shirts selected is 4, and the frequency we obtained is 3, thus. the frequency obtained is 1 fewer than the expected.

Thus,

Option A: The frequency obtained is 1 fewer than expected.

Learn more about frequency here:

https://brainly.com/question/621767

Answer:

Jordan will save $16.25 each month by choosing financing through the dealership.

Step-by-step explanation:

The EMI formula is :

[tex]\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}[/tex]

Case 1:

p = 17500

r = [tex]6.9/12/100=0.00575[/tex]

n = [tex]5\times12=60[/tex]

Putting the values in formula;

[tex]\frac{17500\times0.00575\times(1+0.00575)^{60}}{(1+0.00575)^{60}-1}[/tex]

=> [tex]\frac{17500\times0.00575\times(1.00575)^{60}}{(1.00575)^{60}-1}[/tex]

EMI = $345.70

Case 2:

p = 17500

r = [tex]4.9/12/100=0.004083[/tex]

n = [tex]5\times12=60[/tex]

Putting the values in formula;

[tex]\frac{17500\times0.004083\times(1+0.004083)^{60}}{(1+0.004083)^{60}-1}[/tex]

=> [tex]\frac{17500\times0.004083\times(1.004083)^{60}}{(1.004083)^{60}-1}[/tex]

EMI = $329.45

So, difference per month in payments will be :

[tex]345.70-329.45=16.25[/tex] dollars

Hence, Jordan will save $16.25 each month by choosing financing through the dealership.