Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches. Which of the following is closest to angle F
1. 38° 2. 65° 3. 52° 4. 72°

Answer:

if you round of. 20 the answer is 10

divide the number by 32 then divide what you get by 3 and last times 100 equals 25,395.83333333 round it if you want to to 25,395.8

Answer: The correct answer is A or B

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Step-by-step explanation:

Answer: 6 × 1

To write a number in expanded form, add the places by it's number.

Ex: 231 → 200 + 30 + 1 = 231

In the problem, 6 is what we're expanding.

Since 6 is only just 1 digit, it is possible to expand a 1 digit number. All you'll need to do it multiply the digit by 1.

6 → 6 × 1 = 6

Therefore, 6 × 1 is the expanded form of 6.

Answer:

A

Step-by-step explanation:

Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.

Answer:

1.96428571429

Step-by-step explanation:

Answer:

55/28

Step-by-step explanation:

5×2+7/14+3/4

17/14+3/4

68+42/56

110/56

55/28

Answer:

First answer is 76.50 and the second one is scale factor of 1/2

Step-by-step explanation: Mark brainlist or im deleting my answer :)

Answer:

scale factor = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{WX}{AB}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]

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1 pizza costs $12.75 and feeds 4

To feed 24 students he needs 24 ÷ 4 = 6 pizzas , then

6 cost = 6 × $12.75 = $76.50

Answer:

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      [tex]S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5[/tex]

What is the third term?

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805[/tex]

Answer:

10 feets

Step-by-step explanation:

Given that:

Angle, θ = 4π/3

Radius, r = 2.5 feets

To obtain how Far Reagan traveled, we calculate the Length of the arc, s

s = r*θ

s = 2.5 feets * 4π/3

s = 10π/3

s = 10.4719

To the nearest foot ; distance traveled by Reagan is 10 feets

Answer:

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

x=3.5

Step-by-step explanation:

To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ.  DF=7 and XZ=3x. So, the ratio is 7:3x.

To  find x, we first find out what 3x is.  In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.

Answer:

The slope is A. 2/3

HOPE THIS HELPS!!!!

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

Open bracket

[tex]14x - 2x + 3 = 15x + 27[/tex]

Collect like terms

[tex]14x - 2x -15x = -3 + 27[/tex]

[tex]-3x = 24[/tex]

Divide by -3

[tex]x = \frac{24}{-3}[/tex]

[tex]x = -8[/tex]

Both solutions are correct

Answer:

Keep adding 8 56 times subtract three which is 472

Step-by-step explanation:

mulitiply 59 times 8

Answer:

25 and 135

Step-by-step explanation:

you see that the small square equals 90

Answer:

Step-by-step explanation:

From the given table,

A. The unit rate for each car is,

Car A = [tex]\frac{416}{13}[/tex]

          = 32 miles per gallon

Car B = [tex]\frac{544}{16}[/tex]

          = 34 miles per gallon

Car C = [tex]\frac{665}{19}[/tex]

          = 35 miles per gallon

Car D = [tex]\frac{775}{25}[/tex]

          = 31 miles per gallon

B. From the derived values in A, the car that uses the least amount of gas is Car C.

C. Total distance covered = 496 miles x 4

                                           = 1984 miles

The gallons of gas the Car A would need for the journey can be determined by;

Car A requires 1 gallon for 32 miles

So that for 1984 miles = [tex]\frac{1984}{32}[/tex]

                                    = 62 gallons

Car A would need 62 gallons of gas to make the trip.

D. Amount spent on gas for Car A = $2.12 x 62

                                          = $131.44

E. speed = [tex]\frac{distance}{time}[/tex]

⇒ time = [tex]\frac{distance}{speed}[/tex]

Given the for Car A, speed = 68 miles per hour.

time = [tex]\frac{1984}{68}[/tex]

       = 29.1765

time = 29 hours

It would take approximately 29 hours for Car A to cover the total distance of 1984 miles.

Answer:

15 students.  30%

Step-by-step explanation:

Answer:

[tex]M(7 ; 4)[/tex]

Step-by-step explanation:

midpoint -M

[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]

[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]

[tex]M(7 ; 4)[/tex]

Answer:

(7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then

midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )

Answer:

85

Step-by-step explanation:

425 divided by 8= 85

Answer:

He as 85 race cars.

Step-by-step explanation:

Just divide 425 by 5 and you have your answer.

Answer: Your Answer would be A

Step-by-step explanation:

The answer should be 10

Answer:

H0​:μ=440 g

Ha​:μ does not equal 440 g​

Step-by-step explanation:

kahn

The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.

For this  case, we're provided;

The critical value of t  at level of significance 0.1 iand at degree of freedom 10-1=9 is:

Thus, the confidence interval in between the limits

[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]

or

[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.

Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

Learn more about confidence interval of population for small sample here:

https://brainly.com/question/13073610

Answer:

1 1/2

Step-by-step explanation:

1 1/2 + 3 1/2 = 5

6 1/2 - 5 =1 1/2

Answer:

1824 in.

Step-by-step explanation:

First find the area of the two shapes you split that are the rectangle and triangle:

Rectangle Area:

48 * 32 = 1536

Area- 1536 in.

Triangle Area:

48 * 12 * 1/2

       or

48 * 12 divided by 2

= 288 in.

Now add the two areas up:

1536 + 288 = 1824 in.

Answer:

1824

Step-by-step explanation:

I assume you want to find the area of the shape. So in order to find the area of the triangle it is height times base than divide it by 2 which looks like this

(12*48)/2 which equals 576

than to find the area of the rectangle it is height times width which is

48*32 which equals 1536

add them together and you get 1824

Answer:

25%

Step-by-step explanation:

The bottom left and top right are each a quarter of the circle and are thus 25% each. The slivers in the middle have to add up to 50% and are all evenly sized. That means that each sliver is 50/4 or 12.5%

Since there are two green slivers, we multiply 12.5% * 2 to get 25%.

Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

Step-by-step explanation:

the difference is the previous term multiplied by 4 to get the next term

2,8,32,128,512,2048,8192

Hope that helps :)

Answer:

1m²

Step-by-step explanation:

Answer:

A = 157.3 units²

Step-by-step explanation:

A = 1/2(6.9)(8 x 5.7) = 157.3 units²