Whoever finishes this gets "brainliest".
just for fun
35a^7--11a^7

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Recall that double-angle identity for cosine:

[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]

Substitute cos(2A) for its third form:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Distribute:

[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Rewrite:

[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]

Factor:

[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]

Double-Angle Identity for cosine:

[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]

Hence proven.

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

Answer: option A the amount of gasoline larry uses

Step-by-step explanation:

This is because a independent variable is not changed by other variables.

please click thanks and mark brainliest if you like :)

Answer:

a) its root 2

b) 2

c) 3,4,5,6 (just all x numbers)

d) inverse is just reverse of points ex: (2,1) for the first set

also what is that equation up top am i suppose to use that for something

Step-by-step explanation:

Answer:

a7 = 55 + (7-1) 10

Step-by-step explanation:

See,

It's given that it will take 7 hours for Jiya to move.

$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.

Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.

Therefore, the correct option is:

a7 = 55 + (7-1) 10

Answer:

22+c=54

Step-by-step explanation:

22 + his age =54

The width in feet of the given solid is 1.136

Density is defined as the ratio of the mass per unit volume

Density = Mass/Volume

Given

Weight = 360 pounds

Density = 3 pounds per cubic foot

Get the mass;

Since W = mg

m = W/g

m = 360/2.2

m =163.64  lbm/kg

Get the volume

From the formula;

Volume = Mass/Density

Volume = 163.64 /3

Volume = 54.55 ft³

Next is to get the width

Volume of the triangular prism = Base Area * Width

Base Area = 48ft²

54.55 = 48w

w = 54.55/48

w = 1.136

Hence the width of the solid in feet is 1.136ft

Learn more on how to calculate density here https://brainly.com/question/17887628

Answer:

36

Step-by-step explanation:

The first dies has 6 possible outcomes

1,2,3,4,5,6

The second die has 6 possible outcomes

1,2,3,4,5,6

6*6 = 36

There are 36 outcomes

First Sample space

[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]

[tex]\\ \sf\longmapsto |S|=6[/tex]

Now There are two cubes mean n=2

[tex]\\ \sf\longmapsto |S|^n[/tex]

[tex]\\ \sf\longmapsto 6^2[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

Answer:

117.33333 feet per second

Step-by-step explanation:

Answer:

38 cups

Step-by-step explanation:

8c + 30 = 334

8c = 334 - 30

8c = 304

c = 304 ÷ 8

c = 38 cups

The total number of cups ordered by Eddie is 8

Design fee = $30

Cost per cup = $8

Total cost of order = $334

Let the number of cups ordered = p

The total cost of order can be represented by the equation :

Design cost + (cost per order × Number of orders)

$30 + (8p) = $334

8p = 334 - 30

8p = 304

p = 303 / 8

p = 38

Hence, the number of cups ordered is 8

Learn more : https://brainly.com/question/18109354

Answer:

isabella will be able to pay 2 full years of insurance with her remaining savings

Step-by-step explanation:

as we know isabella saved $13,000

the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining

insurance for a year costs $650,

so we will divide her remaining sum by the yearly cost giving us -

1,325/650

= ‎‎‎2.0.3....

this means that she will be able to pay for 2 full years of insurance with her remaining savings

hope this helped:)

========================================================

Explanation:

x = number of years

Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.

For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.

The expression 650x is added onto the 11675 which is the cost of the car.

Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.

Set this equal to 13000 and solve for x

650x+11675 = 13000

650x = 13000 - 11675

650x = 1325

x = 1325/650

x = 2.03846 which is approximate

Rounding down to the nearest whole number gets us to x = 2

She will be able to afford 2 full years of insurance

Note that if x = 3, then,

650x+11675

650*3+11675

13625

Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.

Step-by-step explanation:

we will solve this question according to BODMAS rule...

B for bracket

O for of

D for division

M for multiplication

A for addition

S for Subtraction

10+4-4

14-4

10 Answer..

Answer:

10

Step-by-step explanation:

Using order of operations as stated in PEMDAS , that is

division is performed before addition/ subtraction , then

10 + 8 ÷ 2 - 4

= 10 + 4 - 4

= 14 - 4

= 10

hi

so 3X = 18

      X = 18/3 = 6

Answer: Yes, it can.

Step-by-step explanation:

3π / 2π = 1.5

√20 / √5 = 2

I guess it can.

Answer:

definetely 2

Step-by-step explanation:

Answer:

Less than

Step-by-step explanation:

Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.

Hope this helps! :)

Answer:

1. B,D

2. D

3. C

4. J

Step-by-step explanation:

The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.

Hence the third option is correct.

Use the concept of rational number defined as:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

It can be represented as p/q,

Where p and q are integers and q is not equal to zero.

Examples of rational numbers include 1/2, -3/4, and 5/7.

Now analysing the given options we can see that,

The numbers 1/2, 1/4 and 1/8 are rational but not an integer.

Therefore,

The set  { 1/2, 1/4, 1/8} is the correct one, which is option third.

To learn more about irrational numbers visit:

https://brainly.com/question/29204809

#SPJ3

Answer:

Step-by-step explanation:

tan30°=3/x

xtan30°=3

x=3/tan30°

x= 5.2

Answer:

x=17

Step-by-step explanation:

Product means multiply  is means equals

2x = 34

Divide each side by2

2x/2 = 34/2

x = 17

Answer:

439,200 words

Step-by-step explanation:

800 words per 8.5 inches by 11 inches piece of paper

800 times 549 = 439,200 words

Answer:

Vertex

Step-by-step explanation:

The vertex is the point were two rays meet to form an angle.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Leo's weight at the end of the fourth week = 181.7 pounds

Step-by-step explanation:

Leo's initial weight = 190 pounds

First week = lost 4.3 pounds

New weight = 190 pounds - 4.3 pounds

= 185.7 pounds

Second week = lost 2.8 pounds

New weight = 185.7 pounds - 2.8 pounds

= 182.9 Pounds

Third week = gained 0.7 pounds

New weight = 182.9 pounds + 0.7 pounds

= 183.6 pounds

Fourth week = lost 1.9 pounds

New weight = 183.6 pounds - 1.9 pounds

= 181.7 pounds

Leo's weight at the end of the fourth week = 181.7 pounds

Alternatively

New weight = initial weight - first week - second week + third week - fourth week

= 190 - 4.3 - 2.8 + 0.7 - 1.9

= 181.7 pounds

Answer:

21/55

Step-by-step explanation:

7 blue counters, 3 green counters and 1 red counter  = 11 counters

1st counter

P(blue)= blue / total = 7/11

Now there are only 10 counters

6 blue counters, 3 green counters and 1 red counter  = 10 counters

2nd counter

P(blue)= blue / total = 6/10 = 3/5

P(blue blue) = 7/11 * 3/5 = 21/55

Answer:

6.38548 years

Step-by-step explanation:

1 = 2 [tex]e^{42k}[/tex]

1/2 =   [tex]e^{42k}[/tex]

ln(1/2) = 42k ln(e)

ln(1/2)/42 = k

k = -0.01650

~~~~~~~~~~~~~~

45 = 50 [tex]e^{-0.01650t}[/tex]

45/50 =   [tex]e^{-0.01650t}[/tex]

ln(45/50) =  -0.01650 t ln(e)

ln(45/50)/ -0.01650 = t

t = 6.38548 years

The number of years for the radioactive element to reach a mass of 45 grams is given by t = 6.384129 years

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

Let the number of years be t

Let the initial mass of the element be a = 50 grams

The final mass of the element be ( a - x ) = 45 grams

Now , Element X is a radioactive isotope such that every 42 years, its mass decreases by half

And , half life t½ = 42 years

So , the decay constant k = 0.693/t½

k = 0.693 / ( 42 )

k = 0.0165

And , k= 2.303/t {log (a/a-x)}

So , t = 2.303 / ( 0.0165 ) log ( 50/45 )

On simplifying , we get

t = 6.384129 years

Hence , the number of years for the radioactive element to reach 45 grams is 6.384129 years

To learn more about half-life of an element click :

https://brainly.com/question/16387602

#SPJ2

Answer:

A. Mean = 9.7 (take all the numbers and divide by 10)

Mode = 12

Range = 5

B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined

Answer:

1/3

Step-by-step explanation:

The left side of FA is 6 units.

The left side of FB is 2 units.

From 6 to 2, you divide by 3.

Same for the top,

FA is 9 units, while FB is 3 units.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

90

Step-by-step explanation:

If they put 50 sheets per box, then it is just simple division.

4,500 divided by 50 is 90.

Answer:

90 boxes

Step-by-step explanation:

They need to ship 4500 sheets of paper.

They put 50 pages in each box.

# of boxes they will need = amount of paper / amount of paper they put in each box

# of boxes they will need = 4500 / 50 = 90