What is the length of AB? (Nearest TENTH) A.34 B.105.3 C.11.8 D.24.7

What Is The Length Of AB? (Nearest TENTH) A.34 B.105.3 C.11.8 D.24.7

Answers

Answer 1

Answer:

The answer is option A.

Step-by-step explanation:

To find the length of AB we use sine

sin∅ = opposite / hypotenuse

From the question

AB is the hypotenuse

AC is the opposite

sin 36 = AC / AB

sin 36 = 20/ AB

AB = 20 / sin 36

AB = 34.026

AB is 34 to the nearest tenth

Hope this helps you


Related Questions

Find (f•g)(x) for the given functions: f(x) = 5/x and g(x) = 3 + x/5.

Answers

Answer: (f•g)(x) = (15 + x)/x

Explanation:
F(x) = 5/x and g(x) = 3 + x/5

Then (f•g)(x) = 5/x • 3 + x/5

(f•g)(x) = 5/x • 15/5 + x/5

(f•g)(x) = 5/x • (15 + x)/5

(f•g)(x) = 5(15 + x)/5x

(f•g)(x) = (15 + x)/x

How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?

Answers

Answer:

There are a total of 100 numbers!!

Step-by-step explanation:

Basically you have to do

4*5*5*1 because there are 4 even numbers 2,4,6,8 that can be in the beginning of a number, 5 even numbers 0,2,4,6,8 that can be in the middle and only 1 number at the end that will make it divisible by 5 which is zero.

Hope this helps!!!

C(t) = 2t^4 – 8t^3 +6t^2 Find the t-intercept?

Answers

Answer:

0

Step-by-step explanation:

The t-intercept here is what's khown as the x-intercept wich is given by C(t)=0

● C(t) = 2t^4-8t^3+6t^2

● 0 = 2t^4-8t^3+6t^2

Factor using t

● t(2t^3-8t^2+6t^1) = 0

Wich means that t=0

What the answer fast

Answers

Answer:

when we add all the angles.

=58+94+15=167

so it's a 180..

180_167

=13

round to nearest tenth.

=10..

Determine which of the following statements is true. A: If V is a 6-dimensional vector space, then any set of exactly 6 elements in V is automatically a basis for V. B: If there exists a set that spans V, then dim V = 3. C: If H is a subspace of a finite-dimensional vector space V, then dim H ≤ dim V

Answers

Answer:

A. This statement A is false.

B. This statement A is false.

C. This statement is true .

Step-by-step explanation:

Determine which of the following statements is true.

From the statements we are being given , we are to determine if the statements are valid to be true or invalid to be false.

SO;

A: If V is a 6-dimensional vector space, then any set of exactly 6 elements in V is automatically a basis for V

This statement A is false.

This is because any set of exactly 6 elements in V is linearly independent vectors of V . Hence, it can't be automatically a basis for V

B. If there exists a set that spans V, then dim V = 3

The statement B is false.

If there exists a set , let say [tex]v_1 ...v_3[/tex], then any set of n vector (i.e number of elements forms the basis of V)  spans V. ∴ dim V < 3

C. If H is a subspace of a finite-dimensional vector space V  then dim H ≤ dim V is a correct option.

This statement is true .

We all know that in a given vector space there is always a basis, it is equally important to understand that there is a cardinality for every basis that exist ,hence the dimension of a vector space is uniquely defined.

SO,

If  H is a subspace of a finite-dimensional vector space V  then dim H ≤ dim V is a correct option.

Please help me with this!

Answers

Answer:

5:1

Step-by-step explanation:

20/4= 5

1*5 = 5

5:1 ratio

Hope this helps!

Transformations of exponential functions

Answers

Answer:

Since the transformation is made by shifting the function right, it is a horizontal transformation.

2x + 3 + 7x = – 24, what is the value of x?
14x + 3 = - 24
theeeeen I get stuck, HELP!

Answers

Answer:

-3

Step-by-step explanation:

2x + 3 +7x = -24

Add the X together

9x +3 = -24

Bring over the +3. [when you bring over change the sign]

9x = -24 -3

9x = -27

-27 divide by 9 to find X

therefore answer is

x= -3.

Hope this helps

Answer:

x = -3

Step-by-step explanation:

question is

2x + 3 + 7x = -24

First you combine the like terms

2x and 7x you can add them so it will be 9x

so it will then it will be like this:

9x + 3 = -24

now you take the 3 and send it to the other side, and right now the 3 is positive so when it goes to the other side it will turn into -3

so

9x = -24 -3

again now you combine the like terms

-24 -3 = - 27

now you have

9x = -27

now just divide each side by 9

x = -27/9

x = -3

Sorry if this doesnt help

a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 8% margin of error at a 95% cnofidence level, what size of sample is needed

Answers

Answer:

The  sample needed is  [tex]n =150[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  [tex]E = 0.08[/tex]

   The confidence level is  [tex]C = 95 \% = 0.95[/tex]

Given that the confidence level is  95% the level of significance is mathematically represented as

          [tex]\alpha = 1 - 0.95[/tex]

           [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the z-table , the value is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The reason we are obtaining critical value of    [tex]\frac{\alpha }{2}[/tex] instead of    [tex]\alpha[/tex] is because  

[tex]\alpha[/tex] represents the area under the normal curve where the confidence level interval (   [tex]1-\alpha[/tex] ) did not cover which include both the left and right tail while  

[tex]\frac{\alpha }{2}[/tex] is just the area of one tail which what we required to calculate the margin of error

The sample size is mathematically represented as    

            [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p[1-\r p][/tex]

Here [tex]\r p[/tex] is sample proportion of people that supported her and we will assume this to be 50% =  0.5

So

            [tex]n = [\frac{1.96}{ 0.08} ]^2 * [0.5 (1- 0.5)][/tex]

           [tex]n =150[/tex]

           

The average flight time from Seattle (SEA) to New York (JFK) is 4.3 hours. The distance between them is 2421 miles. The average flight time going the other way, JFK to SEA is 5.5 hours. The difference is due to the jet stream. Translate this situation to a system of equations and find the average speed of the jet and the average speed of the jet stream.

Answers

Answer:

Speed of the jet is 563.02 miles/hr

Speed of the jet stream is 122.83 miles/hr

Step-by-step explanation:

The average time for going from Seattle to New York is 4.3 hours

The distance between these places is 2421 miles

The average time for going back (impaired by jet stream) is 5.5 hours

If we designate the speed of the jet = v

and the speed of the jet stream = u

then on the return trip, the relative speed of the jet = v - u

Also, recall that distance = speed x time

For the going trip, the distance covered by the jet = 4.3 x v = 2421 miles

For the return trip, the distance covered by the jet = 5.5 x (v - u)  = 2421 miles

= 5.5(v - u)

these translate into the following equation written below

4.3v = 2421              ....equation 1

5.5(v - u) = 2421      ....equation 2

solving, equation 1, we'll have

4.3v = 2421

v = 2421/4.3 = 563.02 miles/hr  this is the speed of the jet

substituting the value of v into equation 2, we'll have

5.5(v - u) = 2421

5.5(563.02 - u) = 2421

3096.61 - 5.5u = 2421

3096.61 - 2421 = 5.5u

675.61 = 5.5u

u = 675.61/5.5

u = 122.83 miles/hr   this is the speed of the jet stream

At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. The lower 5% of the class will not get a passing grade. Find the score that separates the lower 5% of the class from the rest of the class

Answers

Answer:

55.563

Step-by-step explanation:

Given the following :

Mean(m) point = 73

Standard deviation( sd) = 10.6

Lower 5% will not get a passing grade (those below the 5% percentile)

For a normal distribution:

The z-score is given by:

z = (X - mean) / standard deviation

5% of the class = 5/100 = 0.05

From the z - table : 0.05 falls into - 1.645 which is equal to the z - score

Substituting this value into the z-score formula to obtain the score(x) which seperates the lower 5%(0.05) from the rest of the class

z = (x - m) / sd

-1.645 = (x - 73) / 10.6

-1 645 * 10.6 = x - 73

-17.437 = x - 73

-17.437 + 73 = x

55.563 = x

Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563

Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60 cubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale. A cylinder with width 4 and height unknown is labeled glass 1, and a cone with height 6 and width 5 is labeled glass 2. 0.2 centimeter 1.7 centimeters 3.9 centimeters 5.6 centimeters

Answers

Answer:

1.7

Step-by-step explanation:

1. Find the volume of Glass 2 (volume of a cone = 1/3πr² ·h)

1/3 · 3.14 · 2.5² · 6 = 39.25 cm³

2. Subtract the volume of Glass 2 from the amount of water poured

60 - 39.25 = 20.75 cm³

3. Set up the equation for Glass A using x for the height being solved for (volume of a cylinder = πr² · h)

3.14 · 2² · x = 20.75

12.56x = 20.75

4. Solve for x by dividing both sides by 12.56 (round to the nearest tenth)

x = 1.7

The answer should be 1.7

The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area and the perimeter of the shape?

Answers

Answer:

Area = 7 square units

Perimeter = 14 units

Step-by-step explanation:

The figure shown above consists of 7 squares, each having a side length of 1 unit.

==>Area of shape = area of 1 square × 7

Area of shape = s² × 7.

Where, s = side length = 1 unit

Area of shape = 1² × 7

= 1 × 7

Area = 7 square units

==>Perimeter of shape:

The perimeter of the shape is the sum of all the external sides of the 7 squares that form along the boundary of the shape. Check the attachment to see each side length that makes up the length of the entire boundary.

Perimeter of shape = 1 + 1 + 1 + ½ + ½ + 1 + 1 + ½ + 1½ + 1 + 4 + 1 = 14 units.

Express 0.325 as a percentage

Answers

Answer:

32.5%

Step-by-step explanation:

0.325 x 100%=32.5%

32.5% as there are 100%in total percentage
And 0.325 is question
So .0325*100=32.5

solve the inequality -2/11 j _< 8

Answers

Answer:

j ≥ -44

Step-by-step explanation:

-2/11 j ≤ 8

Multiply each side by -11/2 to isolate j.  Flip the inequality since we are multiplying by a negative

-11/2 * -11/2 j ≥ 8 * -11/2

j ≥ -44

Answer:

[tex]j\geq -44[/tex]

Step-by-step explanation:

The inequality given is:

[tex]\frac{-2}{11}j\leq 8[/tex]

To solve the inequality, we must get the variable j by itself.

j is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.

Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.

[tex]\frac{-2}{11} --> \frac{-11}{2}[/tex]

Multiply both sides of the equation by -11/2.

[tex]\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}[/tex]

[tex]j\leq 8*\frac{-11}{2}[/tex]

Since we multiplied by a negative number, we must flip the inequality sign.

[tex]j\geq 8*\frac{-11}{2}[/tex]

Multiply 8 and -11/2

[tex]j\geq 8*-5.5[/tex]

[tex]j\geq -44[/tex]

The solution to the inequality is: [tex]j\geq -44[/tex]

A scrub nurse recorded the temperature in the operating theatre every two hours over a 12 hour period from noon to midnight. The results are shown in the following line graph

Answers

NoAnswer:

Step-by-step explanation:

Cause I’m good

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the functions given below. VIEW FILE ATTACHED

Answers

Answer:  see below

Step-by-step explanation:

[tex]P(x)=\dfrac{2}{3x-1}\qquad \qquad Q(x)=\dfrac{6}{-3x+2}\\[/tex]

P(x) ÷ Q(x)

[tex]\dfrac{2}{3x-1}\div \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\times \dfrac{-3x+2}{6}\\\\\\=\large\boxed{\dfrac{-3x+2}{3(3x-1)}}[/tex]

P(x) + Q(x)

[tex]\dfrac{2}{3x-1}+ \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\bigg(\dfrac{-3x+2}{-3x+2}\bigg)+ \dfrac{6}{-3x+2}\bigg(\dfrac{3x-1}{3x-1}\bigg)\\\\\\=\dfrac{2(-3x+2)+6(3x-1)}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-6x+4+18x-6}{(3x-1)(-3x+2)}\\\\\\=\dfrac{12x-2}{(3x-1)(-3x+2)}\\\\\\=\large\boxed{\dfrac{2(6x-1)}{(3x-1)(-3x+2)}}[/tex]

P(x) - Q(x)

[tex]\dfrac{2}{3x-1}- \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\bigg(\dfrac{-3x+2}{-3x+2}\bigg)- \dfrac{6}{-3x+2}\bigg(\dfrac{3x-1}{3x-1}\bigg)\\\\\\=\dfrac{2(-3x+2)-6(3x-1)}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-6x+4-18x+6}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-24x+10}{(3x-1)(-3x+2)}\\\\\\=\large\boxed{\dfrac{-2(12x-5)}{(3x-1)(-3x+2)}}[/tex]

P(x) · Q(x)

[tex]\dfrac{2}{3x-1}\times \dfrac{6}{-3x+2}\\\\\\=\large\boxed{\dfrac{12}{(3x-1)(-3x+2)}}[/tex]

A sample of size 60 from one population of weights had a sample average of 10.4 lb. and a sample standard deviation of 2.7 lb. An independent sample of size 100 from another population of weights had a sample average of 9.7 lb. with a sample standard deviation of 1.9 lb. Find a 95% confidence interval for the difference between the population means.

Answers

Answer:

z=  0.278

Step-by-step explanation:

Given data

n1= 60 ; n2 = 100

mean 1= x1`= 10.4;     mean 2= x2`= 9.7

standard deviation  1= s1= 2.7 pounds ;  standard deviation 2= s2 = 1.9 lb

We formulate our null and alternate hypothesis as

H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)

We set level of significance α= 0.05

the test statistic to be used under H0 is

z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂

the critical region is z > ± 1.96

Computations

z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100

z= 10.4- 9.7/ √ 7.29/60 + 3.61/100

z= 0.7/√ 0.1215+ 0.0361

z=0.7 /√0.1576

z= 0.7 (0.396988)

z= 0.2778= 0.278

Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0  at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.

What additional information do you need to prove △ABC ≅ △DEF by the SSS Postulate? A. BC = EF B. AB = DE C. AC = DF

Answers

Answer:

AC = DF

Step-by-step explanation:

The SSS Postulate occurs when all three corresponding pairs of sides are congruent, therefore, the only missing pair is AC = DF.

A weather balloon holds 2,000 cubic meters of helium. The density of helium is 0.1765 kilograms per cubic meter. How many kilograms of helium does the balloon contain? Only enter a numerical value in the answer blank.

Answers

Answer:

353 kg

Step-by-step explanation:

So you want to find the number of kg by finding the answer through the density formula. To do this you take the formula of Density, which is  [tex]D=\frac{m}{v}[/tex]. Now you substitute D for the density of 0.1765,  and v for the volume, which is 2000, to then get  [tex]0.1765=\frac{m}{2000}[/tex]. Now you solve for m. To do this you multiply each side by 2000. This brings you with [tex]353=m[/tex] after multiplying 0.1765 and 2000. Hope this helps!

The mass of the helium that the balloon contain will be 353 kilograms.

What is density?

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Mass = density × volume

A weather balloon holds 2,000 cubic meters of helium.

The density of helium is 0.1765 kilograms per cubic meter.

The mass of the helium that the balloon contain will be

Mass = 0.1765 × 2000

Mass = 353 kilograms

To learn more about the density refers to the link;

brainly.com/question/952755

#SPJ2

A rectangular piece of sheet metal has an area of 1200 in2. It is going to be bent into a cylinder with volume 600 in3. What are the dimensions of rectangular piece of sheet metal

Answers

Answer:

x=6.28 inches

y=191.08 inches

Step-by-step explanation:

Let the dimensions of the rectangle be x and y

Area of the rectangular sheet

x*y=1200 in^2}

x = circumference of the cylinder

This means x=2πr

Volume of a cylinder=πr^2h

h=y

Volume of the cylind=πr^2(y)=600 in^3

From x=2πr

r=x/2π

Substitute r=x/2π into Volume=πr^2(y)=600 in^3

We have,

Volume of the cylinder=πr^2(y)=600 in^3

π*(x/2π)^2(y)=600

(x^2/4π)y=600

Recall, x*y=1200

y=1200/x

Substitute y=1200/x into (x^2/4π)y=600

(x^2/4π)y=600

(x^2/4π)(1200/x)=600

1200x/4π=600

Multiply both sides by 4π

(x^2/4π)(1200/x)(4π)=600*4π

1200x=2400π

Divide both sides by 1200

1200x/1200 = 2400π/1200

x=2π

Substitute x=2π into y=1200/x

We have,

y=1200/2π

y=600/π

The dimensions are x=2π and y=600/π

Let π=3.14

x=2π

=2(3.14)

=6.28 inches

y=600/π

=600/3.14

=191.08 inches

PLEASE HELP

Speed of pulley A = 400 r.p.m.

Speed of pulley B =

A:100
B:200
C:1600



Speed of pulley C =
A:100
B:1600
C:200

Speed of pulley D =
A:100
B:40
C:160

Answers

see attachment a=400 rpm b and c = 200 rpm d = 40 rpm

Answer:

pulley B 200, pulley C 200, pulley D 160

Solve tan theta +1=-2tan theta

Answers

Answer:

[tex]\boxed{135\°,315\°}[/tex]

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

[tex]\theta = 135+180n[/tex]

[tex]n[/tex] is any integer value.

The value of [tex]n[/tex] cannot exceed 1 or be less than 0, because the value of [tex]\theta[/tex] must be between 0 and 360 degrees.

[tex]\theta = 135+180(0)[/tex]

[tex]\theta = 135[/tex]

[tex]\theta = 135+180(1)[/tex]

[tex]\theta = 315[/tex]

What is the equation of the parabola with focus (1, -3) and directrix y = 22
A. y - 4x^2 +8x-21
B. y=2/3×^2-4/3×+7/6
C. y =-1/10×^2+1/5×-3/5
D. y=-3×^2+2x-2​

Answers

Answer:22

Step-by-step explanation:

Answer:

Hola que tal

Step-by-step explanation:

A father's age is 4 times as that of his son's age. in 5 years time, the father will be 3 times as old as his son. what are their present ages?​

Answers

Answer:

present age of son = 10 present age of father = 40

Step-by-step explanation:

Let, present age of son be 'x'

present age of father be 'y'

y = 4x→ equation ( i )

After five years,

Son's age = x + 5

father's age = y + 5

According to Question,

[tex]y + 5 = 3(x + 5)[/tex]

Put the value of y from equation ( i )

[tex]4x + 5 = 3(x + 5)[/tex]

Distribute 3 through the parentheses

[tex]4x + 5 = 3x + 15[/tex]

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S. and change its sign

[tex]4x - 3x = 15 - 5[/tex]

Collect like terms

[tex]x = 15 - 5[/tex]

Calculate the difference

[tex]x = 10[/tex]

Now, put the value of X in equation ( i ) in order to find the present age of father

[tex]y = 4x[/tex]

plug the value of X

[tex] = 4 \times 10[/tex]

Calculate the product

[tex] = 40[/tex]

Therefore,

Present age of son = 10

present age of father = 40

Hope this helps..

Best regards!!

thirteen less than the total of a number and eleven. Translate into variable expression. And also simply.​

Answers

Answer: Required variable expression. [tex]x-13=11[/tex]

The value of x is 24.

Step-by-step explanation:

Let x be the number.

Given statement: "thirteen less than the total of a number and eleven."

Expression for "thirteen less than the total of a number" = [tex]x-13[/tex]

Now , the complete expression will be : [tex]x-13=11[/tex]

To simplify, we add 13 on both the sides , we get

[tex]x-13+13=11+13\\\\\Rightarrow\ x= 24[/tex]

Hence, the value of x is 24.

A researcher wishes to estimate the number of households with two cars. A previous study indicates that the proportion of households with two cars is 25%. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 3%?
A) 4.
B) 1132.
C) 1842.
D) 1382.

Answers

The correct answer is D

−30=5(x+1) solve for x pls help

Answers

Answer:

[tex] \boxed{\sf x = -7} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies - 30 = 5(x + 1) \\ \\ \sf - 30 =5(x+ 1) \: is \: equivalent \: to \: 5 (x + 1) = - 30: \\ \sf \implies 5(x + 1) = - 30 \\ \\ \sf Divide \: both \: sides \: of \: 5(x+ 1) = - 30 \: by \: 5: \\ \sf \implies \frac{5(x + 1)}{5} = - \frac{30}{5} \\ \\ \sf \frac{5}{5} = 1 : \\ \sf \implies x + 1 = - \frac{30}{5} \\ \\ \sf - \frac{30}{5} = - \frac{6 \times \cancel{5}}{ \cancel{5}} = - 6 : \\ \sf \implies x + 1 = - 6 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies x + (1 - 1) = - 6 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies x = - 6 - 1 \\ \\ \sf - 6 - 1 = - 7 : \\ \sf \implies x = - 7[/tex]

Answer:

[tex] \boxed{x = - 7}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 30 = 5(x + 1)}[/tex]

Distribute 5 through the parentheses

[tex] \mathrm{ - 30 = 5x + 5} [/tex]

Move constant to L.H.S and change its sign

[tex] \mathrm{ - 30 - 5 = 5x}[/tex]

Calculate

[tex] \mathrm{ - 35 = 5x}[/tex]

Swipe the sides of the equation

[tex] \mathrm{5x = - 35}[/tex]

Divide both sides of the equation by 5

[tex] \mathrm{ \frac{5x}{5} = \frac{ - 35}{5} }[/tex]

Calculate

[tex] \mathrm{x = - 7}[/tex]

Hope I helped!

Best regards!!

among the following, an incorrect statement is a) the volume of the hollow sphere =4/3π (r^3—r^3), where r is the radius of the outer sphere and r is the radius of the inner sphere. b) the volume of the hemisphere of radius(r) is 2πr^3 c) the surface area sphere = 4πr^2 d) the surface area of a spherical shell = 4π (r^2—r^2), where r = external radius and r= internal radius

please can someone say which one is incorrect​

Answers

Answer:

fncjcnj jcj jcj jcj jd. d. c. dn. d. c. c. x. c. c. c.



Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can

tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the

total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window

panes is an expression with a whole number exponent.

Answers

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

[tex]w=4*4=4^2[/tex]

The total number of window panes in 'n' windows is:

[tex]P=n*4^2[/tex]

With n = 12 windows, the expression that describes the total number of window panes is:

[tex]P=12*4^2\\P=192\ panes[/tex]

There are 192 window panes in total.

Answer:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Step-by-step explanation:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Other Questions
Cocklebur will not flower if exposed to 8 hours of dark and 16 hours of light. It will flower if exposed to 16 hours of dark and 8 hours of light. However, if the 16 hours of dark is interrupted with a brief period of light the cocklebur will not flower. What triggers cocklebur to flower A triangle has an area of 900m^2 . If a parallelogram has the same height and base as the triangle, what is the area of the parallelogram? An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time? What happens to the diagonal of a rectangle when the rectangle is reflected across a line of symmetry? What does this suggest about the diagonals of rectangles? There are two major river systems that provide fresh water to the vast agricultural regions of the central part of China Proper. They flow from the Tibetan Highlands to the East China Sea and Yellow Sea. These rivers are: The following excerpt is from an argument project. Choose the sentence that expresses a debatable claim. Because whole grains are an essential part of a healthy diet, we should eat them. Things have changed since the 1990s. Back then, people were warned to avoid "carbs" if they wanted to maintain a healthy weight. Today, most nutritionists believe that whole, unrefined grains are one of the keys to a balanced and healthy diet. Which of the following is not a benefit of Genetic Engineering? A. Enhancing the desirable traits of organisms B. Helping to reduce world hunger C. Enhancing the effectiveness of the new DNA by spreading it to other plants D. Helping to treat disease 2^2(3-8)5-1 please help A HEADLINE article in the textbook is titled "Hurricane Damage to Gulf Ports Delays Deliveries, Raises Costs." Increased costs are likely to cause: 3. Individual Problems 20-3 Lightweight personal locator beacons are now available to hikers, making it easier for the Forest Service's rescue teams to locate those lost or in trouble in the wilderness. True or False: Forest Service costs will likely fall due to moral hazard. True False Before Class B network 172.16.0.0 is subnetted by a network engineer, what parts of the structure of the IP addresses in this network already exist, with a specific size? (Choose two answers.) If Sweet Catering had recorded transactions using the Accrual method, how much net income (loss) would they have recorded for the month of May? If there is a loss, enter it with parentheses or a negative sign. If you were in a smooth-riding train with no windows, could you sense the difference between uniform motion and rest or between accelerated motion and rest? 1. Both acclerated and uniform motion can be sensed. 2. Only uniform motion can be sensed. 3. Only accelerated motion can be sensed. 4. No motion can be sensed. If during the process of negotiating a transaction a real estate licensee discourages a buyer from seeking legal advice on the grounds that the licensee will look into the problem, that licensee is acting:________. While examining cash receipts information, the accounting department determined the following information: opening cash balance $180, cash on hand $1,350.89, and cash sales per register tape $1,186.34. Prepare the required journal entry based upon the cash count sheet. 3 Examples of relative pronouns using 'WHOM' Solve for x in the equation x squared + 11 x + 121/4 = 125/4. Which is not a benefit of maintaining sustainable forest ecosystems?Select one:O a. Empty space on which to build homesb. Habitat for thousands of speciesc. Reduction of erosion in watersheds express 1023.4567 correct to 3 significant figures Mike can stitch 7 shirts in 42 hoursHe can stitch 1 shirt in hours, and in 1 hour he can stitch of a shirt