a file cabinet is 48in. tall, 15 in. wide and 24in. deep. find the volume of the file cabinet

Answer:

12

Step-by-step explanation:

if you add up 2, 6 times it would be 2,4,6,8,10,12

or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start

Answer:

wut-

Step-by-step explanation:

Answer:Write the equation of this geometric sequence and find the value of the 9th term.

1/3, 1, 3, 9...

F(n)=

F(9)=

Step-by-step explanation:

You can put this solution on YOUR website!

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

:-)

Answer:

79

Step-by-step explanation:

Sum of 4 test for Average of 82 must be 82 x 4 which is 328.

Subtract previous 3 scores from 328:

328 - (98 + 83 + 68)

328 - 249 = 79

She needs a 79

Answer: left: 5, center: 6, right: 5

Step-by-step explanation:

Answer:

5,5,5

Step-by-step explanation:

Answer:

32 months.

Step-by-step explanation:

Andy wants a car that costs $8,500.

He already saved $1,300.

$8500 - $1300 = $7200

Andy can save an additional $255 each month.

7200 ÷ 255 = 32

So, it would take Andy 32 months to have enough money to buy the car.

Answer:

one number x= 16

other number y = 4

Answer:

∠1 = 90°, ∠2 = 90°, ∠3 = 90°, ∠4 = 90°, ∠5 = 90°, ∠6 = 90°, ∠7 = 90°

Step-by-step explanation:

From the question, we have;

∠1 and the 90° are supplementary angles

∴ ∠1 = 180° - 90° =  90°

2) ∠2 is vertically opposite to the 90° angle, therefore;

∠2 = 90°

3) ∠3 is vertically opposite to ∠1 , therefore;

∠3 = 90°

4) ∠4 is the corresponding angle to the given 90° angle, therefore;

∠4 = 90°

5) ∠5 is the corresponding angle to ∠1, therefore;

∠5 = ∠1 = 90°

6) ∠6 and ∠2 are corresponding angles;

∴ ∠6 = ∠2 = 90°

7) ∠7 and ∠3 are corresponding angles;

∴ ∠7 = ∠7 = 90°

Veronika's net income per month is $3,852. Option B

The annual  amount of taxes that Veronika pays:

Annual taxes = 0.18 x $58,200 = $10,476

Annual health insurance = $125/month x 12 months = $1,500

we can calculate Veronika's net annual income by subtracting the taxes and health insurance from her annual salary:

Net annual income = $58,200 - $10,476 - $1,500 = $46,224

We can calculate her net income per month by dividing her net annual income by 12:

Net monthly income = $46,224/12 = $3,852

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Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

2x^5/3

Step-by-step explanation:

Answer:

32x small 5

9         32x small 5 over 9

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

[tex]a^{2} +b^2 = c^2\\12^2 + 5^2 = c^2\\144 + 25 = c^2\\169 = c^2\\[/tex]

Take the square root of both sides

[tex]\sqrt{169} = \sqrt{c^2} \\13 = c[/tex]

Answer:

A) 33 degrees

Step-by-step explanation:

Since both triangles are congruent, the corresponding angles are congruent, as well. Angle C and Angle F are corresponding angles (meaning that they are the same angle on two different triangles), so their angle measures are congruent. Angle F is 33 degrees, so Angle C is 33 degrees.

Option (B) is correct, A factor of f(x) is x+1.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

Function f(x) has one root, which is -1.

Implies that,

for the function f(x),

x = -1,

or (x+1) = 0,

So, (x+1) is the factor of the function f(x).

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Answer:

3/2 because you divide both by 2

Step-by-step explanation:

hope this helps.     :)

Answer:

1:2

Step-by-step explanation:

3x2=6

2x2=4

4x2=8

Multiplying all sides by two (or doubling all sides) gets the first triangle to the size of the second (or produces the second image).

So you know 2 is the answer, I am not sure how to write the scale factor maybe it is 1:2.

The area of the part of the mural Trevor has completed is

Area of a rectangle is the product of its length and width.

If a rectangle has length L units and width of W units, then

Area = L × W squared units.

Given;

Width of painting= 25m

Length of painting= 34m

Area of rectangle = L x W

= 25 x 34

= 850m^2

Therefore, the area of rectangle will be 850m^2

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Answer:

1 : 11

Step-by-step explanation:

Ratio

gear 1 : gear 2

= 5 : 55 ( divide each part of the ratio by 5 )

= 1 : 11 ← in simplest form

Answer:

3/50

Step-by-step explanation:

The experimental probability that a person selected at random is going to City B is 19/50.

Experimental probability is a probability that is determined on the basis of a series of experiments.

The table shows the results of a survey of 100 people selected at random at an airport.

The total number of responses is;

= 24 + 38 + 14 +22 +2

= 100

The experimental probability that a person selected at random is going to City B is given by;

[tex]\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}[/tex]

Hence, the experimental probability that a person selected at random is going to City B is 19/50.

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Answer:

hxhGmzgkzjzjzultstusutsyisyidyxyixyostosyosyisuoxuxhckcifidususu

Step-by-step explanation:

yeesyhdbdhdhdufhfhfbfbdbdvdvdvxbcbdhdhdhshssbbssgOysyizykxlhdloyzkhxkgxigsoyxly khxiyyykxkg

Answer:

(111.5, 155.5)

Step-by-step explanation:

Given the data:

132 127 106 140 158 135 129 138

The Outlier formula :

Lower = Q1 - 1.5(IQR)

Higher = Q3 + 1.5(IQR)

Using a calculator :

Q1 = 128

Median, Q2 = 133.5

Q3 = 139

IQR = Q3 - Q1 = 139 - 128 = 11

Lower = Q1 - 1.5(IQR) = 128 - 1.5(11) = 111.5

Higher = Q3 + 1.5(IQR) = 139 + 1.5(11) = 155.5

(111.5, 155.5)

Answer:

68%

Step-by-step explanation:

The increase is (62 - 37), or 25, ounces.  Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio).  Multiplying this ratio by 100%, we get 68% (to the nearest percent).

Answer:

519.8 feet

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

We solve this question using the Trigonometric function of Sine

sin theta = Opposite/ Hypotenuse

Theta = 12°

Hypotenuse = 2500 feet

Opposite = Height of the hill = x

Hence,

sin 12 = x/ 2500 feet

Cross Multiply

x = sin 12 × 2500 feet

x = 519.77922704 feet

Approximately = 519.8 feet

The height of the hill is 519.8 feet

Answer:

A. Point T

Step-by-step explanation:

Answer:

A- T (-4.5, 3)

Step-by-step explanation:

A- T (-4.5, 3)

Answer:

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch

Answer:

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Step-by-step explanation:

Answer: its 0 of 4 you can pick but i think its 4

Step-by-step explanion: i am not good at explaning this math but i know the answer