find the measure of the indicated angle

Answer:

526  divided by 18

Step-by-step explanation29.222222222222222222222222222222 :

64°

Step-by-step explanation:

The 36-ft distance can be regarded as the opposite side of the triangle formed by the leaning ladder while its length of 40 ft is the hypotenuse. So using the definition of a sine of an angle, we know that

[tex]\sin \theta = \dfrac{opposite}{hypotenuse} = \dfrac{36\:\text{ft}}{40\:\text{ft}}[/tex]

or

[tex]\theta = \sin^{-1}\left(\dfrac{36}{40}\right) = \sin^{-1}(0.9)[/tex]

[tex]\:\:\:\:=64°[/tex]

Step-by-step explanation:

[tex]a {}^{3} + b {}^{3} [/tex]

Notice how that for both a and b are raised to an odd power. This means we can factor this by a binomial raised to an odd power.

Let divide this by

[tex]a + b[/tex]

Since that is also a odd power.

[tex]( {a}^{3} + {b}^{3} ) \div (a + b)[/tex]

We get

a quotient of

[tex]( {a}^{2} - ab + {b}^{2} )[/tex]

So our factors are

[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Answer:

[tex](a+b)(a^{2} -ab+b^{2} )[/tex]

Step-by-step explanation:

[tex]\textbf{We need to factor this expression}[/tex] [tex]\textbf{by applying the sum of two cubes rule:}[/tex]

[tex]\Longrightarrow[/tex] [tex]A^{3} +B^{3} =(A+B)(A^{2} -AB+B^{2} )[/tex]

Here,  

A= a

B= b

So, [tex](a+b)(a^{2} -ab+b^{2} )[/tex]

[tex]\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto[/tex]

[tex]\textsl{OAmalOHopeO}[/tex]

what you're trying to do is form an equation for y

6x + 5y = 10    

5y = -6x + 10         we need y to be singular so divide by numeral before y

y = - 6x/5 + 10/5

y = - 6x/5 + 2

Answer:

The area lies to the right of the z-score 0.48 means all the values greater than it. This can be calculated on a graphing calculator using the function normCdf, where

The result would be normCdf(0.48,9999,0,1) ≈ 0.315614

The area lies to the left of the z-score 0.79 means all the values less than it. This can be calculated on a graphing calculator using the function normCdf, where

The result would be normCdf(-9999,0.79,0,1) ≈ 0.785236

Answer:

0.1008

Step-by-step explanation:

SOURCE: Trust Me Bro

OTHER ANSWER IS WRONG

Answer:

m=3*sqrt(2) and n=3

Step-by-step explanation:

tan(45)=3/n

1=3/n, n=3. As it's a right angled triangle, 3^2+3^2=m^2, m=3*sqrt(2)

Answer:

40%

Step-by-step explanation:

Total amount of marbles are 25

the chances of getting green marbles out of all the marbles are 10/25 or 0.4

and since we are looking for percentages we have to multiply 0.4 by 100

0.4 x 100 = 40

9514 1404 393

Answer:

  3/11 were left

Step-by-step explanation:

A packet of oranges is 11/11. Subtracting 4/11 +4/11 = 8/11 from that leaves ...

  11/11 -8/11 = (11 -8)/11 = 3/11

3 elevenths were left.

Answer:

000023 because if we take three 0's we can get 000023 and 417 million

Answer:

24 and 32 ft or 32 and 24 ft

Step-by-step explanation:

Perimeter of rectangle(p)=2(l+b)

or, 112/2=l+b

Therefore, l+b=56

Now,

diagonal(d)=40

By pythogoras theorem,

h^2=p^2+b^2 (d=h here)

40^2=l^2+b^2

Now,

Square l+b=56

(l+b)^2=56^2

l^2+2lb+b^2=3136

2lb=3136-1600

lb=1536/2

Therefore, lb=768

b=768/l

Now,

Perimeter of rectangle(p)=2(l+b)

l+b=56

l+768/l=56

l^2+768=56l

l^2+768-56l=0

Factoring,

(l - 32) (l - 24) = 0

Either l= 32 or l = 24

When l=32,

l+b=56

32+b=56

b=24

When l=24

l+b=56

24+b=56

b=32

So the dimensions of the dance floor are 24 and 32 ft or 32 and 24 ft.

Answer:

24 ft x 32 ft

Step-by-step explanation:

[tex]2x+2y=112[/tex]

[tex]\sqrt{x^{2}+y^{2} } =40[/tex]

Graph the equations

Find the point where they intersect

Answer is 24 ft and 32 ft

9514 1404 393

Answer:

  26 players to start; 21 players after 5 withdrew

Step-by-step explanation:

We are told that the withdrawing players did not play against each other, so the total number of games they played was 5×2 = 10. Then the number of games played by the remaining players was 220 -10 = 210. When n players play each other, they play a total of n(n -1)/2 games. Here, that total is 210, so we have ...

  n(n -1)/2 = 210

  n^2 -n = 420 . . . . . . . . .multiply by 2

  (n -1/2)^2 = 420.25 . . . . add 0.25 to complete the square

  n = 1/2 +√420.25 = 0.5 +20.5 = 21 . . . . . square root and add 1/2

The number of participating players after 5 withdrew was 21. There were 26 players to start.

9514 1404 393

Answer:

Step-by-step explanation:

Put the numbers in place of the corresponding variables and do the arithmetic.

  √(2a) -b = √(2·8) -(-5) = 4 +5 = 9

  -3ac +2b = -3(8)(1/4) +2(-5) = -6 -10 = -16

  b² -8c = (-5)² -8(1/4) = 25 -2 = 23

Step-by-step explanation:

Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11

Answer: 24a²-2ab-11

Hi

As you can only add or substract item of the same nature, you must re organise  terms.

so :

A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab  

Here  I have  :   " a²"  ;  "ab"  then numbers.

In general, you start with letters with highest exponant.  If two letters have the same exponent, use alphabetic order.

let's  put order  :

A = 15a²-8a²+a² -6ab-5ab -ab+20-31  

Now you  add or substract item of the same kind :  

A = 8a² -12ab - 9

Here I can not do anything else, so calculus is over.  

Answer:x2.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b^2

Step-by-step explanation:

You're going to add the exponents from b x b, both carry a 1 in their powers (or exponents)

so b^1 + b^1 = b^2

Answer:

b^2

Step-by-step explanation:

b*b = b^2

Answer:

-4

Step-by-step explanation:

(f(a+h)-f(a))/h=(2-4(a+h)-2+4a))/h=-4h/h=-4

Answer:

No

97/1000 is the same as 97 divided by 1000

the decimal would be .097, not .97

Answer:

a) Everyone on the team talks until the entire team agrees on one decision.

Step-by-step explanation:

Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense

Answer:

0.152

Step-by-step explanation:

0.4 × 0.38

→ Multiply 0.4 by 10

0.4 × 10 = 4

→ Multiply 0.38 by 100

38

→ Multiply the 2 answers together

4 × 38 = 152

→ Divide by the answer by 1000

152 ÷ 1000 = 0.152

Answer:

x+19

Step-by-step explanation:

3x+12 - 2x+7 = x+19

Answer:

x-19

Step-by-step explanation:

expand the brackets

3x+12-2x-7

3x-2x-12-7

x-19

Answer:

A

Step-by-step explanation:

32 hundredths is 32/100

Side note

32/100 can be simplified to 8/25.

9514 1404 393

Answer:

  sin(tan^-1(x)) = x/√(x² +1)

Step-by-step explanation:

We know that for an angle in a right triangle...

  Tan = Opposite/Adjacent

and

  Sin = Opposite/Hypotenuse

so we can let Opposite = x and Adjacent = 1. The Pythagorean theorem tells us that ...

  Hypotenuse² = Opposite² + Adjacent² = x² +1

Then the sine of the angle is ...

  sin(tan^-1(x)) = x/√(x² +1)

Answer:

n = 12

Step-by-step explanation:

n + 5 = 2n - 7

7+5=2n-n

12=n

12+5=2(12)-7

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the quantity of 80% solution. Then the quantity of 55% solution is (130-x) and the total amount of antifreeze in the mix is ...

  0.55(130 -x) +0.80(x) = 0.70(130)

  0.25x +71.5 = 91 . . . simplify

  0.25x = 19.5 . . . . . . subtract 71.5

  x = 78 . . . . . . . . . . . divide by 0.25; amount of 80%

  130-78 = 52 . . . . amount of 55%

52 gallons of the 55% brand, and 78 gallons of the 80% brand must be used.

From eq(1)

[tex]\\ \sf\longmapsto x=3-3y\dots(3)[/tex]

Putting the value in eq(2)

[tex]\\ \sf\longmapsto 3y-2(3-3y)=12[/tex]

[tex]\\ \sf\longmapsto 3y-6-6y=12[/tex]

[tex]\\ \sf\longmapsto -3y-6=12[/tex]

[tex]\\ \sf\longmapsto -3y=12+6[/tex]

[tex]\\ \sf\longmapsto -3y=18[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{18}{-3}[/tex]

[tex]\\ \sf\longmapsto y=-6[/tex]

Putting value in eq(3)

[tex]\\ \sf\longmapsto x=3-3(-6)[/tex]

[tex]\\ \sf\longmapsto x=3+18[/tex]

[tex]\\ \sf\longmapsto x=21[/tex]

Answer:

x=-3 & y=2

Step-by-step explanation:

x+3y=3----(i)

3y-2x=12----(ii)

Solving eqn--(i)

x+3y=3

or, x=3-3y---(iii)

Substituting the value of x from eqn --(iii) in eqn (ii) ,we get

3y-2x=12

or, 3y-2(3-3y)=12

or, 3y-6+6y=12

or,9y=18

y=18/9=2

Substituting the value of x in eqn--(iii),

x=3-3y=3-3*2=3-6=-3

Step-by-step explanation:

what is the criteria for success ? how many questions must be right ? and how many must be wrong for failure ?

if success means all answers right, then she has 4 choices on the first question to pick one right answer. and then for each of those again 4 choices on the second question and so on.

so, all possible outcomes are 4²⁰.

that means the probability to guess all 20 right is

1/4²⁰

a tiny, tiny number.

and the probabilty to have all wrong ?

she has 4 choices to pick 1 of 3 wrong answers.

so, the probability is 3/4 to answer the first question wrong.

for that she has again then the same chance to get the second question wrong too.

so, it is 3/4 × 3/4 = 9/16

and so on.

the probability to guess all 20 wrong is then

(3/4)²⁰ ≈ 0.0032

that is still a small number but much, much larger than the probability to get everything right.

still, even the goal to truly get everything wrong is highly unlikely.