The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,

is

.

Answer:

Side TN

Step-by-step explanation:

The hypotenuse is always the opposite of the right angle of a triangle.  

Answer:

a. Produce more, as long as the resources are also available

Step-by-step explanation:

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scouteo

Ace

The correct answer is A) produce more, as long as the resources are also available.

As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.

A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.  

options b is not correct

Answer:

B is right option

Step-by-step explanation

A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.

Answer: A

Step-by-step explanation:

Answer: Since the square root of a negative number is not a real number, then a negative radical will result in no real solution.

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the slope formula Faith,  

point P1 (-2a,0)  in the form (x1,y1)

point P2(0,-2b)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (-2b - 0 ) / (0-(-2a))

m = -2b  / 2a

m = - b/a

they are trying to confuse  you with the  "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)

Answer:

Area of triangle1/2b*h Now you can do

The area of the triangle is 9000 square centimeters

Let the sides in order of length be represented as:

x, y and z.

So, we have:

z = 80 + y

z = 130 + x

P = 540

The perimeter is calculated as:

P = x + y + z

So, we have:

x + y + z =540

Substitute z = 130 + x

x + y + 130 + x =540

Evaluate the like terms

2x + y = 410

Substitute z = 130 + x in z = 80 + y

130 + x  = 80 + y

Evaluate the like terms

x - y = -50

So, we have:

2x + y = 410

x - y = -50

Add both equations

3x = 360

Divide by 3

x = 120

Substitute x = 120 in z = 130 + x

z = 130 + 120

z = 250

Substitute z = 250 in z = 80 + y

250 = 80 + y

y = 170

So, we have:

x = 120

y = 170

z = 250

The area is then calculated as:

[tex]Area = \sqrt{s * (s -x) *(s - y) * (s -z)[/tex]

Where

s = P/2 = 540/2

s = 270

So, we have:

[tex]Area = \sqrt{270 * (270 -120) *(270 - 170) * (270 -250)[/tex]

Evaluate

Area = 9000

Hence, the area of the triangle is 9000 square centimeters

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Answer: $21, 600

Step-by-step explanation:

Given:

Original cost (when the shop owner brought it) = $20,000

Profit amount = 20% of original cost

Discount rate = 10%

Solve:

First Step: Find the market price (before discount)

Second Step: Find the discount price

Hope this helps!! :)

Please let me know if you have any questions

Answer:

eju 48, 23w6yuw43wdgn

Step-by-step explanation:

Answer: A

Screenshot of calculator

- 4.6 p - 6.3 p + 3.9 = -9.18

- 10.9 p + 3.9 = - 9.18

- 10.9 p = - 9.18 - 3.9

- 10.9 p = - 13.08

p = ( - 13.08 ) : ( - 10.9 )

Answer:

p = 1.2

Answer:

1.2

Step-by-step explanation:

Just took it :)

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

[tex]f(x) = 490 * 0.88^x[/tex]

Leo

[tex]x \to g(x)[/tex]

[tex]0 \to 480[/tex]

[tex]2 \to 360[/tex]

[tex]4 \to 470[/tex]

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

[tex]f(x) = 490 * 0.88^x[/tex]

[tex]f(0) = 490 * 0.88^0[/tex]

[tex]f(0) = 490 * 1[/tex]

[tex]f(0) = 490[/tex]

From Leo's table

[tex]g(0) = 480[/tex]

By comparison;

[tex]f(0) > g(0)[/tex]

i.e.

[tex]490 > 480[/tex]

So: Tonya's had the greater initial trade-in value

Solving (b): The phone with lesser rate

An exponential function is:

[tex]y = ab^x[/tex]

Where:

[tex]b \to rate[/tex]

For Tonya

[tex]b = 0.88[/tex]

For Leo, we have:

[tex](x_1,y_1) = (0,480)[/tex]

[tex](x_2,y_2) = (2,360)[/tex]

So, the equation becomes:

[tex]y = ab^x[/tex]

[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]

Solving [tex]480 = ab^0[/tex], we have:

[tex]480 = a * 1[/tex]

[tex]480 = a[/tex]

[tex]a= 480[/tex]

[tex]360 = ab^2[/tex] becomes

[tex]360 = 480 * b^2[/tex]

Divide both sides by 480

[tex]0.75 = b^2[/tex]

Take square roots

[tex]0.87 = b[/tex]

[tex]b=0.87[/tex] -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

Answer:

Does the answer help you?

Answer: 12 units²

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.

A=4×3=12 units²

Now, we know the area is 12 units².

Answer:

Range = highest value - lowest value

Explanation:

This is the required formula to find range from a distribution table.

Answer:

Option a (4 MPa) is the right answer.

Step-by-step explanation:

The given values are:

Force,

F = 8 kN

Area,

A = 2 cm²

The stress will be:

⇒ [tex]\sigma = \frac{Force}{Area}[/tex]

By substituting the given values, we get

       [tex]=\frac{8}{2}[/tex]

       [tex]= 4 \ MPa[/tex]

Answer:

nt ooooo

o

Step-by-step explanation:

Answer:

38.46%

Step-by-step explanation:

We are given;

Total population; n(S) = 26000

Number that read English news paper; n(E) = 5000

Number of people that read nepali; n(N) = 12000

Number that read both English and nepali; n(E n N) = 1000

Thus from probability laws, number that read either English or nepali is;

n(E u N) = n(N) + n(E) - n(N n E)

n(E u N) = 12000 + 5000 - 1000 = 16000

Thus;

number that read neither English nor nepali is;

n(E' u N') = n(S) - n(E u N)

n(E' u N') = 26000 - 16000 = 10000

Thus, the percentage is;

10000/26000 × 100% = 38.46%

Answer:

122

Step-by-step explanation:

Angle ABE = angle ABF + EBF

11x - 31 = 6x + 26 + 2x - 9 add like terms

11x - 31 = 8x + 17 transfer like terms to the same side of the equation

11x - 8x = 17 + 31 add/subtract like terms

3x = 48 divide both sides by 3

x = 16 now replace x with 16 in the equation

16*6+26 = 122

Answer:

k = 1/4

Step-by-step explanation:

81y² - k = (9y)² - (1/2)²

(9y)² - k = (9y)² - (1/2)²

k =   (1/2)² = 1/4

Answer:

Step-by-step explanation:

Answer:

a)

Let x = number of candy bars sold

Let y = amount of money earned

b)

y = 0.75x

c)

He should work at the car wash.

Step-by-step explanation:

a)

Let x = number of candy bars sold

Let y = amount of money earned

b)

$42.75/57 = $0.75

Each candy bar costs $0.75

We can confirm that by dividing $38.25/51 = $0.75

1 candy bar sells for $0.75

2 candy bars sell for $0.75 * 2

x candy bars sell for 0.75 * x, or simply 0.75x

The equation is y = 0.75x

c)

y = 0.75x

y = 0.75 * 36

y = 27

Larry raised $27 by selling candy bars last year. This year, he can earn more than that by working at the car wash.

He should work at the car wash.

Answer:

[tex]3x^2-3x\left(x-2\right)-12=0[/tex]

[tex]3x^2-3x\left(x-2\right)-12+12=0+12 \longleftarrow (\mathrm{Add\:}12\mathrm{\:to\:both\:sides})[/tex]

[tex]3x^2-3x\left(x-2\right)=12[/tex]

[tex]-3x\left(x-2\right)=-3xx-\left(-3x\right)\cdot \:2[/tex]

[tex]=-3xx+3\cdot \:2x[/tex]

[tex]-3xx+3x^{2}[/tex]

[tex]=3x^{1+1}[/tex]

[tex]=3x^2[/tex]

[tex]3\cdot \:2x=6x[/tex]

[tex]=-3x^2+6x[/tex]

[tex]3x^2-3x^2+6x=12\Longleftarrow Add\:similar\:elements[/tex]

[tex]6x=12[/tex]

[tex]\frac{6x}{6}=\frac{12}{6} \Longleftarrow Divide[/tex]

[tex]x=2[/tex]

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OAmalOHopeO

✧✧✧✧✧✧✧✧

Answer:

[tex]XY=16.2[/tex]

Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

[tex]\frac{WX}{ST}=\frac{XY}{TU}[/tex]

Substitute,

[tex]\frac{18}{3}=\frac{XY}{2.7}[/tex]

Simplify,

[tex]6=\frac{XY}{2.7}[/tex]

Inverse operations,

[tex]6=\frac{XY}{2.7}[/tex]

[tex]6(2.7)=XY\\\\16.2=XY[/tex]

Answer:

(x+9)(x+5)

Step-by-step explanation:

find 2 numbers that add to 14 and multiply to 45

Answer:

The population in 8 years will be of 7313.

Step-by-step explanation:

Population of a town:

The population of a town, after t years, with a doubling time of n years, is given by:

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

The initial population of a town is 4200​, and it grows with a doubling time of 10 years.

This means that [tex]P(0) = 4200, n = 10[/tex]

So

[tex]P(t) = 4200(2)^{\frac{t}{10}}[/tex]

What will the population be in 8 ​years?

This is P(8). So

[tex]P(8) = 4200(2)^{\frac{8}{10}} = 4200(2)^{0.8} = 7313[/tex]

The population in 8 years will be of 7313.

Answer:

523.6

Step-by-step explanation:

Not sure how to explain •-•

Hope it helps c:

Answer: use formula pi r^3

3.14 × 5 x 5 x 5 x 4 ÷ 3

Step-by-step explanation:

Answer:

73 degrees.

Step-by-step explanation:

the inward angle at W is the outward angle at Y and therefore the complement of 107 degrees to 180.

180 - 107 = 73 degrees.

The measure of angle ZWX is 73 degrees.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We are given that the trapezoid WXYZ, m∠ZYX=107°.

We have been given an image of a trapezoid and we are asked to find the measure of angle ZWX .

We can see from our trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals

m∠ZYX + m∠ZWX = 180

m∠ZWX = 180 - 107

m∠ZWX = 73 degrees.

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