right triangle hypotenuse is 16 angle is 22° and adjacent angle is x

Answer:

$6.50

Step-by-step explanation:

Let the cost of a bowl and a jug be $b and $j respectively.

3b +j= 13.70 -----(1)

j= b +4.10 -----(2)

Substitute (2) into (1):

3b +b +4.10= 13.70

4b +4.10= 13.70 (simplify)

4b= 13.70 -4.10 (-4.10 on both sides)

4b= 9.60

b= 9.60 ÷4 (÷4 on both sides)

b= 2.40

Substitute b= 2.40 into (2):

j= 2.40 +4.10

j= 6.50

Thus, the jug costs $6.50.

Answer:

A. (x² + 12)·(x + 2)

Step-by-step explanation:

Question; Factor x³ + 2·x² + 12·x + 24, using the grouping method

The given polynomial is presented as follows;

x³ + 2·x² + 12·x + 24

Using the grouping method, we have;

(x³ + 2·x²)( + 12·x + 24)

Which gives;

x²·(x + 2) + 12·(x + 2)

Therefore, we get;

(x² + 12)·(x + 2)

The correct option is A. (x² + 12)·(x + 2).

Answer: x³+8x²+11x-20

Step-by-step explanation:

To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.

-5 is the same as x+5=0

-4 is the same as x+4=0

1 is the same as x-1=0

Now that we have the factors, we can multiply them together.

(x+5)(x+4)(x-1)                  [FOIL]

(x²+4x+5x+20)(x-1)          [combine like terms]

(x²+9x+20)(x-1)                 [FOIL]

x³-x²+9x²-9x+20x-20       [combine like terms]

x³+8x²+11x-20

Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.

The choose (D)

(0,-4) and (2,0)

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

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Answer:

x = 16.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 50 = x/22

22 sin 50 =x

x=16.85297

To the nearest tenth

x = 16.9

This question is solved using probability concepts.

Doing this, we get that:

[tex]\frac{1}{1200}[/tex] probability that you win the jackpot.

------------------------------------------

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

----------------------------------------------------

Total outcomes:

Thus:

[tex]T = C_{10,3}C_{10,1} = \frac{10!}{7!3!} \times \frac{10!}{1!9!} = 120 \times 10 = 1200[/tex]

Desired outcomes:

The correct balls, order does not matter, so only one outcome, that is, [tex]D = 1[/tex]

What is the probability that you win the jackpot?

[tex]p = \frac{D}{T} = \frac{1}{1200}[/tex]

[tex]\frac{1}{1200}[/tex] probability that you win the jackpot.

A similar question is given at https://brainly.com/question/23966554

Answer:

6/7200=1/1200

Step-by-step explanation:

[3! ways to arrange the three white balls] over [10x9x8 ways to pick three white balls and 10 ways to pick a red]  =3x2x1/10x9x8x10=6/72x100=6/7200=1/1200

<(-_-)>__ConNelL__>(-_-)<

Answer:

D

Step-by-step explanation:

2x < 16 - 6x

Bring the variables to one side

2x < 16 - 6x

+6x       +6x

8x < 16

Divide both sides by the coefficient

8x/8 < 16?8

x < 2

Answer:

I posted the steps in my photos for an answer.

Answer:

a^2+b^2=c^2

a^2=c^2-b^2

a^2=10^2-5^2

a^2=100-25

a^2=75

a=7.7cm

Step-by-step explanation:

Answer:

BC = 6.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =opp /adj

tan C = AB / BC

tan 45 = 6.8/ BC

BC = 6.8 / tan 45

BC = 6.8 / 1

BC = 6.8

Answer: Choice D. 6.8

Step-by-step explanation:

45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.

Answer:

the square is 49cm^2

A=pi(r)^2/4

A=pi(10)^2/4

A=100pi/4

A=25pi

25pi -49

29.5398

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

51-x-5*19= -5x

51-5*19= -4x

4x=5*19-51

4x=95-51

4x=44

x=11

Step-by-step explanation:

let x year ago son age was 5 time his father age.

age of son before x year = 19-x

age of father before x year = 51-x

NOW

according to the question

5(19-x) =51-x

95-5x =51-x

95-51 = -X-5x

44 = 4x

x=11

so your ans is 11years ago

Answer:

2ft

Step-by-step explanation:

If you have a 3x3 you have a 9ft Sq paper. To have five feet left the removed square must be 4 square feet. 2x2 = 4 therefore 2ft per side

Answer:

x = 5y + 9

Step-by-step explanation:

2x - 10y = 18

(2x - 10y) + 10y = 18 + 10y

2x - 10y + 10y = 10y + 18

2x = 10y + 18

x = 5y + 9

Answer:

the answer is {2^5}

hope it helps :)

(2^1/2×2^3/4)^2

(2^(2/4+3/4))^2

(2^5/4)^2

2^(5/4×2)

2^(5/2)

√2^5

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Step-by-step explanation:

(x+1)(x+3)(x+5), multiply first two parenthesis

(x² +3x +x +3)(x+5), combine like terms

(x² +4x +3) (x+5), multiply the parenthesis

(x³ +5x² +4x² +20x +3x +15), combine like terms

x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d

a=1, b=9, c=23, d=15 are all positive integers

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

Answer:

d. 7

Step-by-step explanation:

A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.

Thus:

3x - 17 = 25 - 3x

Add 3x from each side

3x - 17 + 3x = 25 - 3x + 3x

6x - 17 = 25

Add 17 to both sides

6x - 17 + 17 = 25 + 17

6x = 42

Divide both sides by 6

6x/6 = 42/6

x = 7

Answer: D

Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.

The angle x will be equal to 128 degrees. The correct answer is option D.

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

The angle x will be calculated as below:-

Angle x = Sum of angles made by two intersecting chords / 2

Angle x = ( 54 + 202 ) / 2

Angle x  = ( 256 / 2 )

Angle x  = 128 degrees

Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.

To know more about the Intersecting Chords Theorem follow

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Answer:

y = 16.3216X - 330.3904

322 pounds;

Result is significant

Step-by-step explanation:

Given the data:

Chest size, x : 41,54,44,55,39,51

Weight, Y : 328,528,418,580,296,503

Using technology, the prediction model obtained by fitting the data is :

y = 16.3216X - 330.3904

Where, x = chest size ; y = weight

The best predicted weight of a bear with chest size of 40 is

Put x = 40 in the equation :

y = 16.3216(40) - 330.3904

Y = 322.4736

Y = 322 pounds

At α = 0.05

The regression Coefficient, R value obtained is 0.986 ; using this to obtain the Pvalue ;

df = n - 1

Pvalue(0.986, 5) = 0.00198

Since, Pvalue < α ; result is significant at α = 0.05

Answer:

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Answer:

see above there is the answer sorry for rough

the answer of this question is (-2,2)

Answer:

→ m∠ABE + m∠EBC =180°

→ m∠ABF + m∠FED + ∠DBC =180°

→ ∠ABF ≅ ∠EBC

→ ∠ABE ≅ FBC

~OAmalOHopeO

Answer:

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.

Answer:

24 ft

Step-by-step explanation:

so, we don't know anything else about the triangle ?

ok, let's see.

the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2

At = 24 = side × height / 2

48 = side × height = 10 × height

height = 48/10 = 4.8 = 24/5

let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).

we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :

a² = height² + q² = (4.8)² + q² = 23.04 + q²

as all sides have to be even integers, a² has to be an even square number larger than 23.04.

and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.

the only candidates for a² are therefore 36 and 64 (6² and 8²).

in a similar way this applies to the left hand triangle side b tool.

b² = height² + p² = 23.04 + p²

with the same restrictions and possible solutions as a².

we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).

let's rule out a=b :

a=b wound also mean p=q=5

then

a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.

so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).

proof :

36 = 23.04 + 12.96 = 23.04 + q²

=> q = 3.6 ft

64 = 23.04 + 40.96 = 23.04 + p²

=> p = 6.4 ft

p+q = 3.6 + 6.4 = 10 ft

perfect, it fits, this is the correct solution

so, the perimeter of the triangle is

10 + 6 + 8 = 24 ft

she left her computer open for 48 hours