Why do equivalent ratios form a straight line when graphed?

Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]

  [tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]

Mary's route was 49.73 square miles, to sum it up.

Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy

Answer:

That would seem like a b

Step by step explanation: (>) means greater than and b is stating that element a is higher than element c

Answer:

169 3/4 in³

Step-by-step explanation:

v=l×w×h

v=8× 1 3/4× 12 1/8

21  7/32×8= 169 3/4 in³

Answer:

See solution below

Step-by-step explanation:

Given the expression

[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]

Recall that

cos x  = sin(90-x)

cos(x+30 ) = sin (90-(x+30)

= sin(90-x-30)

= sin(60-x)

Substitute

[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

[tex]y = \frac{5}{4} sin x +1[/tex]

The range of sin x is [-1, 1].

So the range of [tex]\frac{5}{4} sin x[/tex] will be [-5/4, 5/4]

So the range of [tex]\frac{5}{4} sin x +1[/tex] will be [-5/4 + 1, 5/4 +1]

The range of  [tex]\frac{5}{4} sin x +1[/tex] will be [-1/4, 9/4]

The maximum value of function = upper limit of the range of [tex]\frac{5}{4} sin x +1[/tex]

So, the maximum value of the function = 9/4

The minimum value of function = lower limit of the range of [tex]\frac{5}{4} sin x +1[/tex]

So, the minimum value of the function = -1/4

As we can see in the graph, in the interval (0, π/2) the function is strictly increasing.

Therefore, The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is increasing.

The range of the function is [-1/4, 9/4].

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Answer:

see below

Step-by-step explanation:

2:

# of sides = 3

# of vertices = 3

name of shape: triangle

3.

# of sides = 4

# of vertices = 4

name of shape: quadrilateral

4.

# of sides = 5

# of vertices = 5

name of shape: pentagon

5.

# of sides = 6

# of vertices = 6

name of shape: hexagon

6.

# of sides = 8

# of vertices = 8

name of shape: octagon

Answer:

20%

Step-by-step explanation:

65 and 78 are both multiples of 13. Divide both by 13, we get 5 and 6.

If we use 5 as our main value (100%), 6 would be 120% as adding 1 to the main number (5) increases it by 20%. So 6 is a 20% increase from 5.

:D

Answer:

70%

Step-by-step explanation:

28/40 = 14/20 = 7/10 = 0.7 = 70%

Answer:

70%

Step-by-step explanation:

100% A+  

Ri   |Wr

ght|ong

39 1 97.5% A+

38 2 95% A

37 3 92.5% A-

36 4 90% A-

35 5 87.5% B+

34 6 85% B

33 7 82.5% B-

32 8 80% B-

31 9 77.5% C+

30 10 75% C

29 11 72.5% C-

28 12 70% C-

27 13 67.5% D+

26 14 65% D

25 15 62.5% D-

24 16 60% D-

23 17 57.5% F

22 18 55% F

21 19 52.5% F

20 20 50% F

19 21 47.5% F

18 22 45% F

17 23 42.5% F

16 24 40% F

15 25 37.5% F

14 26 35% F

13 27 32.5% F

12 28 30% F

11 29 27.5% F

10 30 25% F

9 31 22.5% F

8 32 20% F

7 33 17.5% F

6 34 15% F

5 35 12.5% F

4 36 10% F

3 37 7.5% F

2 38 5% F

1 39 2.5% F

0 40 0% F

Answer:

10 cm

Step-by-step explanation:

multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

n = -4

because

-3n=12

n=12/-3

n=-4

Answer:

a

Step-by-step explanation:

worng worng

the answer tho this is that the tree is 14ft

Answer:

22.5

Step-by-step explanation:

20 ft for an 8 foot shadow but since you need 1 more foot

take half of 5 (2.5) and you get 22.5

Answer:

A, C, D

Step-by-step explanation:

42 + 14 = 56

38 + 18 = 56

67 + 33 = 100

70 + 30 = 100

93 + 35 = 128

95 + 33 = 128

B)

40 + 22 = 62

32 + 10 = 42

62 ≠ 42

Answer:

x = [tex]\frac{(a+b)}{2}[/tex]

[tex]y=\frac{a-b}{2}[/tex]

Step-by-step explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

(x + y) + (x - y) = a + b

2x = a + b

x = [tex]\frac{(a+b)}{2}[/tex]

By substituting these values in equation (2),

x - y = b

[tex]\frac{a+b}{2}-y=b[/tex]

[tex]\frac{a+b}{2}-b=y[/tex]

[tex]\frac{a+b-2b}{2}=y[/tex]

[tex]\frac{a-b}{2}=y[/tex]

[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]

[tex] \sqrt{72} \tan(30) = x[/tex]

x equals about 4.9 rounded to the hundredths place.

Answer:

133.33

Step-by-step explanation:

sorry if im incorrect

Answer:

800

Step-by-step explanation:

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

2√3+6√2

hope this helps :D

Answer:

Step-by-step explanation:

2√3+6√2

Answer:

See below.

Step-by-step explanation:

Let x = the first number

Let y = the second number

First sentence: Equation 1: x+y=15

Second sentence: Equation 2: y=x+1

Part 2: Find the numbers.

x + y = 15

y = x + 1

x + x + 1 = 15

2x + 1 = 15

2x = 14

x = 7

y = x + 1 = 7 + 1 = 8

The numbers are 7 and 8.

Answer:

x = 7

y = 8

Step-by-step explanation:

x + y = 15

y = x + 1

Part 2:

x + (x + 1) = 15

x + x + 1 - 1 = 15 - 1

2x = 14

2x/2 = 14/2

x = 7

y = 7 + 1

y = 8

Therefore, x = 7 and y = 8

Answer:

8 grams

Step-by-step explanation:

The half-life of a radioactive kind of krypton is 3 minutes. How much will be l6eft after 6 minutes, if you start with 32 grams of it?

The formula is given as

Nt = No(1/2) ^t/t½

Nt = 32 × (1/2) ^6/3

Nt = 8 grams

Answer:

See attached image.

Step-by-step explanation:

How about this answer to both?  I've seen cylindrical-conic tanks in a local brewery.  The tank is a cone with a cylinder on top.  It's important to know the volumes of both the cylinder and the cone.

Answer:

V = 226.19

Step-by-step explanation:

v=(Pi)(r^2)(h/3) = 3.14(6^2)(6/3) = 3.1415(36)(2) = 226.19

The closest to the volume of the cone is given by 226.19.

We have given that,

The radius of the base of a cone is 6 inches the height of the cone is 6 inches.

V=(Pi)(r^2)(h/3)

V= 3.14(6^2)(6/3)

V= 3.1415(36)(2)

V= 226.19

Therefore, The closest to the volume of the cone is given by 226.19.

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Answer:

Short term Capital gain and $1200

Step-by-step explanation:

Any investment held under a year falls under short term capital gain

5,000 X 0.24 = 1,200

Answer:

Short term Capital gain and $1200.

Step-by-step explanation:

Gains earned by selling assets you’ve held for a year or less are called short-term capital gains, and they generally are taxed at the same rate as your ordinary income, anywhere from 10% to 37%.

Since Rita has a taxable income of $85,000.

So , she fall 24% 82,501 to 157,500 Tax rate bracket.

Therefore     5,000 X 0.24 = 1,200

Thus Rita must pay $1200 in taxes on the Short term Capital gain made by her.

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