The composite figure is made up of three simpler shapes. What is the area of the figure?
Please explain how you got your answer, please.

Answer:

20 hours

Step-by-step explanation:

The smaller of the triangle’s two acute angles is 65 degrees

Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Discover the various sorts of angles and examples of each.

Given:

Angles in a triangle

\(sin (4x-5)^\circ= cos (3x+4)^\cir\)

Since, sin \(\theta\)= cos(90 - \(\theta\)),

cos(90 - (4x - 5 )) = cos(3x +4)

cos(85 - 4x) = cos (3x+4)

Cancel out the cosine functions to have:

85- 4x = 3x+ 4

81 = 7x

x= 11.57

Hence, the smaller of two acute angles is 11.57 degrees

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Answer:

27

Step-by-step explanation:

It is advantageous to take market trends into consideration when planning a career path because the necessary skill sets needed in the current market are highlighted.

This is usually in the form of a profession which undergoes special training and knowledge and acts as a life work for the individual and examples include Doctor etc. This helps to provide the main source of income in which a person is dependent on in ensuring his/her family are well taken care of.

The market trends into consideration when planning a career path because of the knowledge of the necessary skills in the market which therefore ensures it is lucrative and more money is earned as a result. This helps to reduce the various vices which are associated with unemployment.

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Answer:

z(w-x) =y

Step-by-step explanation:

w=x + y/z

Subtract x from each side

w-x=x-x + y/z

w-x = y/z

Multiply each side by z

z(w-x) = y/z *z

z(w-x) =y

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.

Answer:

Line 1:

We know that the dotted line is the first equation since it is the only one without an 'equal to'

We can see that the y-intercept of the line is '+2'

Now to find its slope

since slope is rise/run and we see that the slope goes down 4 units while travelling only 2 units on the x plane

So, the slope  = -2

Hence, it's formula is y _ -2x  +2

i left a dash in the equation to explain why it will be a '<'

In the graph, we can see that the shaded region is the area where values of all the graphs overlap

Hence, for the area of overlap to be below our line 1, the symbol is <

Therefore, the equation for line 1:

y < -2x + 2

This eliminated option 1 and 4 since their equation is different

Line 2:

Again in this one, the symbol will be a less than since the area of overlap is below the line but since the line is not dotted,

the symbol will be ≤ (less than or equal to)

One of the 2 remaining lines is linear and since the line in question is not linear, we know which line we are talking about

Now to find its equation

y-intercept = -1

Slope = Rise / Run

Since its y increases by 1 whenever the x increases by 2

Rise = 1      Run = 2

Slope = 1/2

Equation:

y ≤ x/2 -1

Now that we have 2 of the 3 equations, we are basically done

We can see that the only system of inequalities that satisfies our equations is 2

Hence, option 'b' is correct

Answer:

x ≤ 3

Step-by-step explanation:

\(\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}\)

Subtract 1/2 from both sides:

\(\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}\)

\(\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}\)

Multiply both sides by 4:

\(\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4\)

\(\implies -x \geq -3\)

Divide both sides by -1 (remembering to flip the sign):

\(\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}\)

\(\implies x \leq 3\)

Answer:

Flag guard, kick the ball, and hand the ball to another player

Step-by-step explanation:

Just did the P.E. quiz our teacher assigned us. I've seen you in our classes, dude.

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

\(\sqrt{98}\) = x

\(7\sqrt{2}\) = x

9.9 = x

Answer:

the sale price is $827.70.

Step-by-step explanation:

11% of 930 is 102.3

930-102.3=827.70

Answer:

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

\(-4(x-3)-1 = 4-7(x-5)\\-4x+12-1 = 4-7x+35\\-4x+7x = -12+1+4+35\\ 3x = 28\\x = 28/3\\x = 9.33\)

Answer:

4.647 to the nearest thousandth.

Step-by-step explanation:

The formula for the length of an arc between  x = a and x = b is

  a

    ∫  √( 1 + (f'(x))^2) dx

  b

Here f(x) = √x so

we have  ∫  (√( 1 + (1/2 x^-1/2))^2 )   between x = 0 and x = 4.

=   ∫ ( √( 1 + 1/(4x)) dx   between  x = 0 and x = 4.

This is not easy to integrate  but some software I have gives me the following

length =  √17 + 1/8 log(33 + 1/8 √17)

= 4.647.

Answer:

Send me a picture I can help u

Answer:

Step-by-step explanation:

tan19=h/16000

h=16000tan19

h=5509.24ft

So it is less than 9000ft and is unsafe to use the parachute.

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Answer:

  a ≈ 4.68

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

  a = √(b² +c² -2bc·cos(A))

  a = √(5² +8² -2·5·8·cos(33°)) = √(25 +64 -80·0.83867) ≈ √21.906

  a ≈ 4.68

Answer:

a≈4.68

Step-by-step explanation:

have a good one!!!

Answer

Option A is correct.

P(x, y) = (-3.5, 2.3)

Explanation

Mathematically, if a point P(x, y) divides the coordinates R(x₁, y₁) and Q(x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + nx₁)/(m + n)]

y = [(my₂ + ny₁)/(m + n)]

For this question,

R(x₁, y₁) and Q(x₂, y₂) = R (4, -1) and Q (-5, 3)

m:n = 5:1 (5/6 of a distance divides the two parts of the distance into 5/6 and 1/6, hence, the ratio is 5:1)

x₂ = -5

x₁ = 4

y₂ = 3

y₁ = -1

m = 5

n = 1

x = [(mx₂ + nx₁)/(m + n)]

x = [(5×-5 + 1×4)/(5 + 1)]

x = [(-25 + 4)/(5 + 1)]

x = (-21/6)

x = -3.5

y = [(my₂ + ny₁)/(m + n)]

y = [(5×3 + 1×-1)/(5 + 1)]

y = [(15 - 1)/(5 + 1)]

y = (14/6)

y = 2.3

P(x, y) = (-3.5, 2.3)

Hope this Helps!!!

The total number of condensed milk required is 8/3=2 2/3.

The total number of pan is 4

The condensed milk required for each pan is 2/3

The pieces of a whole are how fractions are described in mathematics. One or more objects may make up the whole. When we cut a piece of pizza in real life from the entire pizza, the part represents the percent of the pizza.

The total number of condensed milk is 4.  2/3=  8/3

For first pan let the measuring cup is 1/4  then the condensed milk is measured as

1/4  .  2/3  =1/6    

For second pan let the measuring cup is 1/2  , then the condensed milk is measured as

1/2  .  2/3  =    1/3

Hence the total number of condensed milk required is 2 2/3.

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Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

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Answer:

D

Step-by-step explanation:

D .  .79 d would be the same

d- .21d =   (1-.21) * d= .79 d

Answer: Mia=210 grams, Kayla=220 grams, and Eli=230 grams

Step-by-step explanation:

Mia=200+10

Kayla=200+20

Eli=200+30

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

5n + 2 > 3 (If you're writing the equation)

n > 1/5 (If you're solving for n.

Step-by-step explanation:

Answer: n > 1/5

Step-by-step explanation:

2 + 5n > 3

5n > 1

n > 1/5

Answer: 56.3%

Step-by-step explanation:

Answer: 14years

Step-by-step explanation:

Kaden's payment is therefore around $920.17 every month.

Payment, in the dictionary's definition, is "the action or process of paying someone or something or of being paid." It can also mean "something given as a reward .

We may use the formula for calculating monthly payments on a loan 7 to determine Kaden's monthly payment:

PMT is equal to (PV x r) / (1 - (1 + r)(-n)).

```

where:

Monthly Payment = PMT

PV stands for present value (loan amount).

- n = overall number of periods - r = interest rate per period

The following is the calculation we can use to determine Kaden's monthly payment:

PMT = (PV x r) / (1 - (1 + r)(-n)

= ($45,300 - $4,500) x (0.0475 / 12) / (1 - (1 + 0.0475 / 12)(-4 x 12)

= $920.17

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The total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination is given by (n^3 + 3n^2)/3.

The LU decomposition version of Gauss elimination involves 3 phases which are :

The flops in decomposition phase is (n^3)/3, forward-substitution phase is n^2 and back-substitution phase is 2n^2. By adding all the flops for these 3 disinct phases we get (n^3 + 3n^2)/3 as total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination.

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Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.