Give the degree of the polynomial.
4
u v + 3y'wu^ +6w+ + 6

Answer:

A = 137°   a = 14 cm

B = 26°   b = 9 cm

C = 17°   c = 6 cm

Step-by-step explanation:

Cosine rule

[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{c^2-a^2-b^2}{-2ab}\right)[/tex]

where:

Given:

[tex]\implies C=\cos^{-1}\left(\dfrac{6^2-14^2-9^2}{-2(14)(9)}\right)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{241}{252}\right)[/tex]

[tex]\implies C=16.99128694..\textdegree[/tex]

Sine Rule

[tex]\sf \dfrac{sinA}{a}=\dfrac{sinB}{b}=\dfrac{sinC}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\sf \implies \dfrac{sinB}{9}=\dfrac{sin(16.991..)}{6}[/tex]

[tex]\sf \implies B=sin^{-1}\left(\dfrac{9sin(16.991..)}{6}\right)=25.99797699...\textdegree[/tex]

Sum of interior angles of a triangle = 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A = 180° - 25.997...°  - 16.9912...°

⇒ ∠A = 137.0107361...°

Answer:

The dimensions of a matrix are the number of rows by the number of columns.

Reason:

The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.

The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).

Conditional probability is represented by probability that the candy is blue.

One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.  

By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.

We have,

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not.

Here we are only focusing on the red candy which shows we have reduce the sample space.

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Answer:

18.01 units to 2 dec. places.

Step-by-step explanation:

Calculate the length of the 3 lines of the triangle

AB = √ [(5 --1)^2 + ( 0 - -4)^2]

= √(36 + 16)

= √52

= 7.211.

BC = √ [(-1-3)^2 + (-4- -6)^2]

= √(16 + 4)

= √20

= 4.472.

CA = √ [(3-5)^2 + (-6-0)^2]

= √(4 + 36)

= √40

= 6.325.

So the perimeter = 7.211 + 4.472 + 6.325

= 18.008

Answer:

Rational number

Step-by-step explanation:

Rational numbers are integers with fractional number for example 2/9 is a rational number and so is 4/5 ,6/10, 2.5 ,6 ,9 etc.

Answer:

18

Step-by-step explanation:

Explanation is in photo

Answer:

x equals 40 since 3 × 2 is 6 you do 20 × 2 which is 40

Answer:

2/3

Step-by-step explanation:

Add all the number of marbles.Now you have 15 in total. 10 of them are not yellow. 10/15 simplified equals 2/3

Answer:

$706

Step-by-step explanation:

$17.65 per hour

40 hours worked

17.65 · 40 = $706

Hope this helps and God bless!

The higher the concentration of species in solution, the higher the buffer capacity.

A buffer is a substance that mitigates against changes in acidity and alkalinity. The buffer capacity has to do with the greatest amount of acid/base that the buffer can effectively neutralize without a significant change in the pH of the solution.

We must know that the higher the concentration of species in solution, the higher the buffer capacity of the solution for any given ratio of  [HA] to [A⁻] concentration.

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Answer:

54

Step-by-step explanation:

Well you have 120 minutes at the gym

Minus 21 minutes for stretching

Minus Jogging for 45 minutes

120-66=54

So 54 minutes spent lifting

Answer:

[tex]x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i[/tex]

Step-by-step explanation:

Answer:

(4, 2) or (4, -6)

Step-by-step explanation:

Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.

Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.

A graph is shown below for further conformation.

hope this helps!

Answer:

D

Step-by-step explanation:

Hope this Helps!

Answer:

B) x² + 5x + 19

Step-by-step explanation:

(2x² + 7x + 10) - (x² + 2x - 9)

==> remove parenthesis and apply negative sign

2x² + 7x + 10 - x² - 2x + 9

==> combine like terms

x² + 5x + 19

the answer is B

Important Note:

Like terms are terms with the same variable and exponent. Eg. 5x³ and x³ are like terms because they both have a common variable x, and a power of 3.

Answer:

B)  [tex]x^2+5x+19[/tex]

Step-by-step explanation:

[tex](2x^2+7x+10)-(x^2+2x-9)[/tex]

[tex]\textsf{Apply rule}\:(a)=a:[/tex]

[tex]=2x^2+7x+10-(x^2+2x-9)[/tex]

[tex]\textsf{Apply distributive law}\:-(a+b)=-a-b\:\textsf{ and }\:-(a-b)=-a+b:[/tex]

[tex]= 2x^2+7x+10-x^2-2x+9[/tex]

Group like terms:

[tex]= 2x^2-x^2+7x-2x+10+9[/tex]

Combine like terms:

[tex]= x^2+5x+19[/tex]

Answer:0.18%

Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.

Answer:

15/4 or 3 3/4

Step-by-step explanation:

since 1/5 has 1 as a numerator,

5 x 3/4=

15/4

it will take about 3 hours and 45 minutes

Answer:

I think 1/6

Step-by-step explanation:

because 2-3/1-7= -1/-6 so (-)and(-) is a (+)

so 1/6

Answer:

x = 0.17

Step-by-step explanation:

Solve for x:

First, take the ln of both sides:

ln(1/16) = ln(8^(4x-2))

You can now bring down (4x-2) in front of the ln:

ln(1/16) = (4x-2)ln(8)

ln(1/16)/ln(8) = 4x-2

4x = ln(1/16)/ln(8) + 2

x = ln(1/16)/4ln(8) + 1/2

x = 0.17

Let's find out zeros

x intercepts

Answer:

The 51st term of the arithmetic sequence is - 417

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as Tn = a + d(n - 1)

Where a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 17

d = - 25 - - 17 = - 33 - - 25 = - 8

n = 51

We want to determine the value of the 51st term, T51. Therefore,

T51 = - 17 + - 8(51 - 1)

T51 = - 17 - 400

T51 = - 417

To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we should resort to using the quadratic formula which is used when equations cannot be solved by inspection. The quadratic formula is x=(-b+-(b2-4ac)1/2)/2a. Values for a,b and c can be lifted from the question. ax2+b-c=0 so in this question a=3 b=1 and c=-5. Inputing these into the equation will give two results.

The answers are

x=1.135 or x=-1.468

both of these answers make the original equation true

Answer: it would be 15

Step-by-step explanation:

Answer: there is nothing here

Step-by-step explanation:

Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,

sin 54.5 = opposite / hypotenuse

sin 54.5 = h / 80

cross multiply

h = 80 × sin 54.5

h = 80 × 0.81411551835

h = 65.1292414685

Therefore, the vertical height of the ground from the ground is as follows:

vertical height = 65. 13 + 1.69 = 66.82 meters

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Answer:

3:1

Step-by-step explanation:

if 1/4 of the counters are black then it means the total counters are 4 and so there are 3 remaining and those become the green counters

The ratio of green to black counters is 3:1

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that A bag contains green and black counters, 1/4 of the counters are black.

Since, 1/4 is black counters therefore, 1 - 1/4 are green counters

So, there are 3/4 green counters

Ratio = (3/4)/(1/4) = 3/1  3:1

Hence, The ratio of green to black counters is 3:1

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Answer:

Step-by-step explanation: For x it's 2x+2, for y it's y/2-1, for 2x it's 4x+2, and for x+3 it's 2x+8

1. 2x+2

2. y/2-1

3. 4x+2

4. 2x+8

Hope this helps :)

Answer:

450,000

This is because 400,000 and 500,000 have no other numbers that could be the middle, so it has to be directly in-between both numbers.

__________________________________________________________

Questions related to this topic? Please ask me in the comments box.

Answer:

450,000

Step-by-step explanation:

500,000-400,000 = 100,000

100,000/2 = 50,000

400,000 + 50,000 = 450,000

Finding half of the value between 500,000 and 400,000 results in 50,000 and you can add that to the lesser value to get to the halfway point between the two numbers.

Answer:

There are 36 outcomes. Of these, there are 2 that have both 1 and 3.