Given a triangle with two sides that measure 14.5 yd and 9 yd and an included angle of 106°, find the area of the triangle. Round your answer to the nearest whole square yard.

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Answer:

            P = 4x  +  10

Step-by-step explanation:

perimeter of a rectangle = 2( width + length )

   P = 2 ( x - 2  +  x + 7 )

   P = 2 ( x + x  +  7 - 2 )

        P = 2 ( 2x +  5 )

            P = 4x  +  10

Answer:

14.5833333333

Step-by-step explanation:

3.5x2.5=8.75, divided by 0.6 is 14.5833333333

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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By using the PEMDAS order of operations, we get 3(6+7) = 39.

The equation be 3(6+7) then the correct answer is 34.

The order of operations exists as a law that describes the proper sequence of stages for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).

Given: 3(6+7)

By using the PEMDAS order of operations, we get

(6+7) = 13

Then we get

3(6+7) = 3 \(*\) 13

= 39.

Therefore, the value of 3(6+7) = 39.

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Answer:

2.321428571%

Step-by-step explanation:

Given in the question,

P=$350

T=4years

I=$32.50

We know that

I=PTR/100

32.50=350*4*R/100

R=32.50*100/350*4

R=2.321428571%

So, the rate of interest is 2.321428571%

Answer:

101x + 35y

you have been helped

Answer:

101x+35y

Step-by-step explanation:

Our equation is

(58x + 50y) - (- 43x + 15y)

Distribute law

58x+50y+43x-15y

combine like terms

101x+35y

Brainliest please :)

Answer:

21

Step-by-step explanation:

(-4)(-2)+2(6+5)

(8)+2(11)

10+11

21

Hope this helps! :)

Answer:32

Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32

The distance are

a. 42.42

b. 15. 52

80 = 65 + <ABC

<ABC = 80 - 65

= 15

Through the use of sine rule we would have

By using sine rule,

Sine 15/a = sine 135/b =

sin 30/30.

Next we have to solve b by cross multiplying

b = (30× sin135) / sin 30

= 21.21/0.5

b = 42.42 km

Also, the value of a will be:

= (42.42 × sin 15) / sin 135

= 10.98/0.7071

= 15.52

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The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

\(pg\int\limits^7_7(10-y)2\sqrt{7^2-y^2} \, dy\)

*The last bound is negative 7

Then it equals 15085928 or 1.5E7

Step-by-step explanation:

\(x^2+y^2=7^2\)

area = 2xdy

depth = (7+3)-y -> (10-y)

total force = \(pg\int\limits^7_7 {(10-y)2x} \, dy\)

Substitute 2x from the first equation as x=\(\sqrt{7^2-y^2}\)

total force = \(pg\int\limits^7_7 {(10-y)2\sqrt{49-y^2} } \, dy\)

=pg1539.38

=(1,000)(9.8)(1539.38)=1.5E7 N

*Lower bound is -7, can't get the program to allow me to put it as a negative

The hydrostatic force against one side of the plate is an integral 1.5E7 N.

The general equation of a circle is \((x-h)^{2} +(y-k)^{2} = r^{2}\). The coordinate is (0, 0) at the origin, so the equation will become \((x)^{2} +(y)^{2} = r^{2}\).

\((x)^{2} +(y)^{2} = 7^{2}\)

area of circular plate = 2xdy

depth = (7+3)-y =  (10-y)

The total force = \(pg\int\limits^7_7[ {10-y} ]2xdy\)

Substitute 2x from the first equation as x = \(\sqrt{7^{2} -y^{2} }\)\(pg\int\limits^7_7[ {10-y} ]\sqrt{49 -y^{2} }dy\)            

= pg 1539.38

= (1,000)(9.8)(1539.38)

= 1.5E7 N

Thus, The hydrostatic force against one side of the plate is an integral 1.5E7 N.

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Answer:

The slope is 7/4 and the y intercept is -10

Step-by-step explanation:

y=7/4x-10

This equation is written is slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 7/4 and the y intercept is -10

Answer: b & c

Step-by-step explanation: a p e x 2020

Answer:

50

Step-by-step explanation:

Cynthia can install 50  shingles in an hour.

Two or more expressions with an Equal sign is called as Equation.

Given that Dominic can install 180 shingles in the same time it takes Cynthia to install 150 shingles.

180=150c is the relationship where d and c are the respective rates for Dominic and Cynthia.

Dominic can install 10 shingles more per hour than Cynthia.

D=C+10

and 180/d=150/c

180/c+10=150/c

Apply cross multiplication

180c=150(c+10)

180c=150c+1500

Subtract 150c from both sides

30c=1500

Divide both sides by 30

c=1500/30

c=50

Hence,  Cynthia can install 50  shingles in an hour.

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Answer:

Answer : 28p + 14q + 21r

The word distributive property is a rule or method that states that every term inside grouping symbols may be multiplied by a term outside grouping symbols to yield the equivalent expression.

Here is the formula for this question

a(b+c) = ab + ac

7(4p+2q+3r)

=28p + 14q + 21r

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Step-by-step explanation:

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

9514 1404 393

Answer:

  23°

Step-by-step explanation:

The angle a vector makes relative to the +x axis is found as ...

  α = arctan(y/x) = arctan(4.30/10.3) ≈ 22.66°

The angle is about 23°.

__

Additional comment

This vector resides in the first quadrant, so no adjustment of the angle is needed. In other quadrants, 180° may need to be added or subtracted from the angle given by the arctan function to arrive at the correct value. (Some calculators and spreadsheets have an ATAN2(x, y) function that takes signs into account.)

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

Multiply both-side of the equation by 6

- 6 = 5 + x

subtract 5 from both-side of the equation

- 6 - 5 = 5 - 5 + x

-11 = x

x = -11

Monday's temperature: High is 25° C and low is 19.4° C.

Fahrenheit is a temperature scale, scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts. To convert temperatures in degrees  Fahrenheit  to Celsius, multiply by 1.8 (or 9/5) and subtract 32.

Celsius is a temperature scale and degrees Celsius are units of temperature on that scale. The symbol for degree Celsius is °C.  To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.

Calculations:

High Temperature: 5/9 (77 - 32) = 25° C

Low Temperature: 5/9 (67 - 32) = 19.4° C

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Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

3*-3+0*5

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

8² - 12(1/4)

= 64 - 3

= 61

Answer:  The answer is:  " 72 words per minute. "

___________________________

Step-by-step explanation:

___________________________

This is a "unit rate" problem.

We want to solve for/ find the number of words PER single minute.

___________________________

Given 48 words per (2/3) minute;

How many words per (one) minute?

__________________________

The answer is {48 ÷ (2/3) } words per minute:

 Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:

Hence:

__________________________

The answer is {48 * (3/2) } words per minute:

__________________________

 Write as:

  " \(\frac{48}{1} *\frac{3}{2}\) " ;

__________________________

  The "48" can be changed to "24" ; and the "2" can be changed to "1" ;

   → {Since: "48 ÷ 2 = 24 "} ;

___________________________

And we have:

___________________________

  " \(\frac{24}{1} *\frac{3}{1} = 24 * 3 = 72\) " ;

___________________________

The answer is:  " 72 words per minute ."

___________________________

Hope this is helpful to you!

___________________________

Answer:

84 inch

Step-by-step explanation:

A=base*height

A=12*7

A=84 inch

Answer:

0

Step-by-step explanation:

Two cases: if \(x\ge0\)

\(|x| - |-x| = x - x= 0\)

Instead if \(x<0\)

\(|x| -|-x| = -x -(-x)=-x+x=0\)

Alternatively you can try to graph both \(f(x) = |x|; g(x)=|-x|\) and checking the vertical distance between the two graphs

Answer:

Relfection over the x axis

Step-by-step explanation:

It is the name shape but flipped onto the other side, therefore it is a reflection