Chip is drawing a scale model of his office. The rectangular room is 10 inches by 8¼ inches. If ½ an inch represents 1 foot in the actual office, what are the dimensions of the actual office?

A. 5ft by 4 1/8 ft
B. 12ft by 10 1/2 ft
C. 20ft by 16 1/2 ft
D.15 ft by 12 3/8 ft

Answer:

Picture is blurry

Step-by-step explanation:

Answer:

C. The ranges of g(x) and f(x) are the same, and their domains are also same

Step-by-step explanation:

Answer:

y=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

[tex]f(x) = x tan ( \dfrac{1}{x})[/tex]

For continuity; [tex]\lim \limits_{x \to 0^-} f(x) = \lim \limits_{x \to 0^+} f(x) = f(0)[/tex]

Now;

[tex]\lim \limits_{x \to 0^-} f(x) = \lim \limits_{x \to 0^-} xtan (\dfrac{1}{x})[/tex]

[tex]= \lim \limits_{x \to 0^-} \dfrac{tan (\dfrac{1}{x})}{\dfrac{1}{x}}[/tex]

[tex]= \lim \limits_{x \to 0^-} \dfrac{tan (\dfrac{1}{0})}{\dfrac{1}{0}}[/tex]

[tex]= \dfrac{\infty}{\infty} \to intermediate \ form[/tex]

Using L'Hospital Rule

[tex]\lim \limits _{x \to 0^-} [ x \ tan (\dfrac{1}{x})] = \lim \limits _{x \to 0^-} \dfrac{\dfrac{d}{dx} \ tan \dfrac{1}{x} }{\dfrac{d}{dx} \dfrac{1}{x} }[/tex]

[tex]= \lim \limits _{x \to 0^-} \dfrac{sec^{1} (\dfrac{1}{x}) * \dfrac{-1}{x^2} }{\dfrac{-1}{x^2} }[/tex]

[tex]= \lim \limits _{x \to 0^-} sec^{1} (\dfrac{1}{x})[/tex]

[tex]= sec^1(\dfrac{1}{0})[/tex]

[tex]=sec^1 (\infty) \to[/tex] not defined

∴

[tex]\lim \limits _{x \to 0^- }[x \ tan (\dfrac{1}{x})] \ne 0 = f(0)[/tex]

Hence, f(x) is not  continuous.

Answer : V≈1017.88cm³

- know the formula:

V = πr^2h/3

- plug in

V = π(9^2)(12/3)

V = π(81)(4)

V = 324π

Answer:

19y

Step-by-step explanation:

hope this helps! have a great day/night :)

Answer:

19y

Step-by-step explanation:

6y (2+1) + 1y

6y (3) + 1y

18y + 1y

19y

Answer:

23.5 cm

Step-by-step explanation:

Step one:

Given data

Circle A has a diameter of 6 centimeter

Circle B has a diameter of 25% greater than Circle A

Step two:

Let us find the diameter of circle B

25% of 5 is given as

=25/100*6

=0.25*6

=1.5 cm

Circle B

= 6+1.5

= 7.5 cm in diameter

radius= 7.5/2= 3.75cm

We know that

Circumference= 2πr

C= 2*3.142*3.75

C=23.5 cm

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

Answer:

yessirkyyyyyyyyyyyy

Step-by-step explanation:

the answer has the same solution, has the same solution, and does not have the same solution

Answer:

8x+6y+(-1)

Step-by-step explanation:

3x+5x=8x  5y+y=6y  1-2=(-1)   Add it all together

Answer:

270/45= 6

396/12= 33

560/16= 35

484/44= 11

874/46= 19

774/18= 43

Answer:

30+8[6^2- (2^2+5)]

30+8(36-(4+5))

30+8(36-9)

30+8 x 27

20+216

246

Step-by-step explanation:

evaluate 2^2 and 6^2 first

add (4+5)

then calculate (36-9)

then multiply (8 x 27)

then add (30+216)

solved

:)

hope this helped

Answer:

x = -8

Step-by-step explanation:

(4 · x) - (4 · 6) + 6 = 6x - 2

4x - 24 + 6 = 6x - 2

4x - 18 = 6x - 2

Isolate x.

4x = 6x - 2 + 18

4x = 6x + 16

4x - 6x = 16

-2x = 16

x = 16 ÷ -2

x = -8

I hope this helps! :)

Answer:

-8 =x

Step-by-step explanation:

4(x - 6) + 6 = 6x-2​

Distribute the 4

4x - 24 +6 = 6x-2

Combine like terms

4x - 18 = 6x-2

Subtract 4x from each side

4x-18-4x = 6x-2-4x

-18 = 2x-2

Add 2 to each side

-18+2 = 2x-2+2

-16 = 2x

Divide each side by 2

-16/2 =2x/2

-8 =x

Answer:

She was paid $550 and made a profit of $50.

Step-by-step explanation:

Given that:

Amount invested by Kayla = $500

Amount returned = 110%

Amount returned = [tex]\frac{110}{100}*500[/tex]

Amount returned = 1.1 * 500

Amount returned = $550

Profit made by Kayla = 550 - 500

Profit made by Kayla = $50

Hence,

She was paid $550 and made a profit of $50.

Answer:

the answer is 10

Step-by-step explanation:

7 1/2 x 4/3=10

Answer:

5.625

Step-by-step explanation:

Answer:

The Rectangular Table Has The largest area of 1460 in^2

Answer:The new latitude is given by adding the 55° flown to the original latitude, which is 17° S, or -17°; this gives -17+55=38°.

Step-by-step explanation:The equator is taken as 0°, going north is positive and going south is negative. So 17° S should be taken as meaning -17°. Flying north 55° means I should add 55°. That gives the answer above.

Answer:

Rhombus

Step-by-step explanation: Brainlest plz?

Answer:

rhombus

Step-by-step explanation:

not every parallelogram qualifies to be a rhombus, but every rhombus is a parallelogram, since a rhombus is defined as a parallelogram with an extra feature: all four sides are congruent. the term "rhombus" has more demands and therefore is more descriptive.

Answer:

2.50 x 4 + 4²

or

2.50 x 4 + 4 x 4

and

$26

Step-by-step explanation:

So first we have to find how much the folders and notebooks were by themselves so our first equation is:

2.50 x 4 = 10

and

4 x 4 = 16

and then we add the costs

10 + 16 = 26

So Wendy spent $26 on folders and notebooks

Awnser:

explain:

hope that helps

Answer:

Add y+x and maby that's u answer

Step-by-step explanation:

Answer:

For the first equation the answer for "X" will be,

[tex]x = \frac{ - 4 - y}{2} [/tex]

if you want me to solve for y instead then the answer will be,

[tex]y = - 4 - 2x[/tex]

for the second equation the answer for "X" will be,

[tex]x = \frac{1 + 3y}{5} [/tex]

If you want me to solve for y instead then the answer will be,

[tex]y = - \frac{1 - 5x}{3} [/tex]

Answer:

The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the

Answer:

9.943, 9612, and 9501

Step-by-step explanation:

anything 5 and above u round higher anything 4 and below round down

Answer:

12 is decompose

13 is distibutive property

Step-by-step explanation:

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

12.) DECOMPOSE

13.) DISTRIBUTIVE PROPERTY

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Well first of all (most important) I should find out what the words mean to me (since the questions only show definitions) and I know that decompose means breaking down a number and DISTRIBUTIVE PROPERTY is a state and that’s what makes it really simple. Also, if we said

”To DISTRIBUTIVE PROPERTY a number means to break it into parts.” Wouldn’t sound proper. :3

HOPE I HELPED!  ∧∧

Answer:

49.02 ft

Step-by-step explanation:

See the attached picture for a diagram.

Since the angle is 35 degrees and the only side length we know is the 75 ft long length of the kite (which is the hypotenuse), you would use sin(35) = x/75 where x is the side opposite of the 35 degree angle. Solve for x by doing sin(35) * 75, which equals 43.01823... Make sure you add 6ft from the height of the man. This would make the kite's total height above the ground 49.01823... Round according to the directions you've been given.

Hence , kite flies  49.01 above the ground is the kite

The angle of elevation is a widely used topic in trigonometry that deals with height and distance. It is defined as the angle formed by the horizontal plane and the oblique line connecting the observer's eye to an object above him. This angle is eventually generated above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name implies.

Given angle of elevation is 35degrees

hypotenuse=75 and perpendicular=x

Hence [tex]sin 35^{0}[/tex]=[tex]\frac{x}{75}[/tex]

[tex]sin 35^{0}*75[/tex]=x

49.01=x

Hence , kite flies  49.01 above the ground is the kite

Learn more about  elevation https://brainly.com/question/88158

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Answer:

32

Step-by-step explanation:

4/(1/8)

I think that the answer is d.

Answer:

correct answer is D

Step-by-step explanation:

-4-(-7)= -4+7= 3

so 3 is 7 steps to the right of -4 on the number line

hope it helps! please mark me brainliest

thank you! have a good day ahead

if u follow me, I will follow u back

Answer:

2 1/4 and ignore this ima write random stuff sksnsjwjdnd