Find the length of side AB.
Give your answer to 3 significant figures.
C
410
13.5 cm
A
B

ANSWER:
sin41 × 13.5 = 8.85679
rounded to 3 sig fig
= 8.57​

Answer:

angle7 = 180°-98° = 82° (Angles on a straight line)

Answer:

Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

Step-by-step explanation:

We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely

We need to find common terms in the expression.

Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:

[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]

So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

So, we get:

[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]

Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

Answer: The answer is 2

Step-by-step explanation:

Answer:[tex]313^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle {EFG}=133^{\circ }[/tex]

When rotated 180 degree clockwise gives E'F'G' which measures

[tex]\angle E'F'G'=180^{\circ}+133^{\circ}=313^{\circ}[/tex]

This can be explained by the below-given digram  

Rotation is a rigid transformation.

The measure of angle E'F'G' is 133 degrees

Because rotation is a rigid transformation, it does not change the side lengths and the angle measures.

This means that the measure of angle EFG will remain unchanged after rotation.

i.e.

[tex]\mathbf{\angle E'F'G' = \angle EFG}[/tex]

Hence, the measure of angle E'F'G' is 133 degrees

Read more about rotation at:

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Answer:

1) 630 roses with 10 roses in each bouquet  = 63 bouquets

2) 640 roses with 12 roses in each bouquet  = 53 bouquets

3) 975 roses with 18 roses in each bouquet  =  54 bouquets

4) 1,250 roses with 24 roses in each bouquet = 52 bouquets

Step-by-step explanation:

We need to match each  description with the number of bouquets that can be made.

Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.

The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]

1) 630 roses with 10 roses in each bouquet

Total roses = 630

Number of roses in each bouquet = 10

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]

So, 63 bouquets can be made.

2) 640roses with 12 roses in each bouquet

Total roses = 640

Number of roses in each bouquet = 12

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]

So, 53 bouquets can be made.

3) 975 roses with 18 roses in each bouquet

Total roses = 975

Number of roses in each bouquet = 18

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]

So, 54 bouquets can be made.

4) 1,250 roses with 24 roses in each bouquet

Total roses = 1250

Number of roses in each bouquet = 24

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]

So, 52 bouquets can be made.

Answer:

x=35

Step-by-step explanation:

A pentagon's sum of interior angles is 540 degrees.

Now, we can set up an equation.

(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540

Combine similar terms

16x - 20 = 540

16x = 560

x = 35

Answer:

-1/5

is it -(9)^0 or (-9)^0 if it -(9)^0 then

+  5^-1/ -9^0 =  5^-1/-1

                     =-5^-1

                     =-1/5

Answer:

(-3y5)3

-9y15

Step-by-step explanation:

prove me wrong

Answer:

y = 3x - 5

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

Substitute the values for the variables.

y - 7 = 3(x - 4)

y - 7 = 3x - 12

y = 3x - 5

Answer:

good luck

Step-by-step explanation: you gonna need it UvU

9/12 = 75%

if any questions just ask.

Answer:

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

2^3 + 4^2 = 24

Step-by-step explanation:

2 times 2 times 2 is 8

4 times 4 is 16

So, 16 + 8 = 24

I hope I helped! Pls mark me brainliest if you can!

Answer:

The mode and Median would be lower than the mean.

Step-by-step explanation:

The distribution data is positively skewed which means that most of the data would be towards the lower side. In this situation the mean is higher than the mode and median. Dr. Hammer has distribution data which is positively skewed so the mode and median will be lower than the mean.

Answer:

2 5/12

Step-by-step explanation:

8 5/6 + 2 3/4 = 8 10/12 + 2 9/12  =  10 19/12  =  10 + 1 7/12  =  11 7/12

13 12/12 - 11 7/12 = 2 5/12

Answer: 1/16 ft²

Step-by-step explanation:

The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².

Each roll is therefore taking up a space of:

= Area/ Number of rolls

Convert the fraction to an improper fraction:

1 ⁵/₈ = 13/8

= 13/8 ÷ 26

= 13/8 * 1/26

= 13/208

= 1/16 ft²

Answer: 33/92

Step-by-step explanation:

Here's the complete question:

Of the songs in joseph collection, 11/23 are country songs. of these country songs, 3/4 are by male artists. what fraction of joseph's songs are country songs by male artist

The fraction of the songs that are country songs by male artist would be calculated as the multiplication of 3/4 by 11/23. This would be:

= 3/4 × 11/23

= 33/92

16 cans for .85 cents is a better deal because it is less cents per can than there is in the other deal. May I please be the brainiest? I have never been that and I would love it

Answer:

1/y^10

Step-by-step explanation

Answer:

umm 9 gallons i think

Step-by-step explanation:

Answer:

A :10.5 is the answer

Step-by-step explanation:

Answer:

x= 68

Step-by-step explanation:

do u need the work 4 it?

Answer:

32

Step-by-step explanation:

Answer:

[tex]x=\sqrt{12}[/tex]

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle where c is the longest side. To solve for x, we plug in the side lengths given as a and c.

[tex]a^2+b^2=c^2\\2^2+x^2=4^2[/tex]

Move 2² to the other side to isolate b²

[tex]x^2=4^2-2^2[/tex]

Square root both sides to isolate b

[tex]x=\sqrt{4^2-2^2}\\x=\sqrt{16-4} \\x=\sqrt{12}[/tex]

I hope this helps!

Answer:

Acapulco

Step-by-step explanation:

Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]51=\frac{0.69}{k}[/tex]

[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]

b) for  7500 g to reach to 6900 g

[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]

[tex]t=6years[/tex]

It will take 6 years for 7500 grams of X to reach 6900 grams.

Answer:

each chair weighs 6 lbs and the crate weighs 18 lbs.

Step-by-step explanation:

The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.

let, each chair weigh = x

and, the crate weigh = y

so, we get,

the equations as:

8x + y = 66 ....(1)

11x + y = 84 ....(2)

now, solving this two equations,

we get,

subtracting (2) - (1),

3x = 18

or, x = 6

so, we have,

y = 18

Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

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