The maximum walking speed S, in feet per second of an animal can be modeled by the equation S= √gL , where g=32ft/sec

Answers

Answer 1

Answer:

1.41

Step-by-step explanation:

The maximum walking speed S, in feet per second, of an animal can be modeled by the equation S= √(gL), where g = 32ft/sec² and L is the length, in feet, of the animal's leg. To the nearest hundredth, how many times greater is the maximum walking speed of a giraffe with a leg of 6 feet than a hippopotamus with a leg of 3 feet?

Step 1: Calculate the maximum walking speed of a giraffe

The leg of a giraffe measures L = 6 ft.

Sg= √(g × Lg)

Sg= √(32 ft/s² × 6 ft) = 13.86 ft/s

Step 2: Calculate the maximum walking speed of a hippopotamus

The leg of a hippopotamus measures L = 3 ft.

Sh= √(g × Lh)

Sh= √(32 ft/s² × 3 ft) = 9.80 ft/s

Step 3: Determine how many times greater is the maximum walking speed of a giraffe than a hippopotamus

We will make the ratio Sg/Sh

Sg/Sh = (13.86 ft/s)/(9.80 ft/s) = 1.41

Answer 2

The maximum walking speed of a giraffe is 1.41 times greater than the maximum walking speed of a hippopotamus.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The leg of a giraffe measures L = 6 ft.

S(g)= √(g×L)

S(g) = √(32 ft/s² × 6 ft)

S(g) = 13.86 ft/s

The maximum walking speed of a hippopotamus:

The leg of a hippopotamus measures L = 3 ft.

S(h)= √(g×L)

S(h) = √(32 ft/s² × 3 ft)

S(h) = 9.80 ft/s

The ratio S(g) to S(h)

S(g)/S(h) = 13.86/9.80 = 1.41

S(g) = 1.41S(h)

Thus, the maximum walking speed of a giraffe is 1.41 times greater than the maximum walking speed of a hippopotamus.

Learn more about the ratio here:

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Related Questions

Find the area of the figure. (Sides meet at right angles.)

Answers

Area is 50 m^2
5 x 3 = 15
7 x 5 = 35
35 + 15 = 50 m^2

Answer:

The answer would be 50m units squared.

A special deck of cards has 10 red cards, 20 blue cards, and 40 green cards. If Tay randomly draws a card, what is the probability that it will be green? ​

Answers

4/7 because you add 10,20,40=70 40/70 simplified is 4/7 :)
the probability is 4/7. can i please get brainliest? hope this helps!!

Which of the following is equal to g(x)?
A. 4(x – 2)
B. 4(x + 2)
C. 4x – 2
D. 4x + 2

Answers

It would probably be A

Line / is shown on the graph below. If another line is drawn, perpendicular to line I, what must be its slope?

Answers

Answer:

Undefined

Step-by-step explanation:

The slope on the graph is horizontal so there's no slope and the answer is just y = 3

For a line to be perpendicular to a horizontal line, it is going to be a vertical line.

All vertical lines have an undefined slope.

write an equation that is parallel to y=8/3x-5 and passes through (-3, -5)

Answers

-5 - y = 8/3 (-3 - x)
Then just expand this and move ‘y’ to make it positive.

-5 - y = -8 -8/3x
y = 8/3x + 3 <—— answer

I used the formula y2 -y1 = m(x2 - x1)

Given klmn is a trapezoid, kl = mn, m<1 = m<2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs

Answers

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

[tex]\dfrac{lm}{kn}=\dfrac{8}{9}[/tex]

Or this could be written as

[tex]lm=8x\\kn=9x[/tex]

Now the remaining two sides are given as

[tex]lk=lm[/tex] as this form an isosceles triangle so

[tex]lk=8x[/tex]

Similarly

[tex]mn=lm\\[/tex]

Or

[tex]mn=8x[/tex]

Now the perimeter is given as

[tex]\text{perimeter}=lm+mn+kn+lk\\[/tex]

Here perimeter is given as 132 so this gives:

[tex]\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4[/tex]

So the four legs are of length as given below:

[tex]lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36[/tex]

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

i need help pleeeeeeeeeease

Answers

Answer:

D. 140

Step-by-step explanation:

In the equation, [tex]ax^2+bx+c=0,[/tex] the discriminant can be found with [tex]b^2-4ac[/tex].

In this equation,

the discriminant would be: [tex](-10)^2-4(2)(-5)=100+40=140[/tex]

Answer:

D. 140

Step-by-step explanation:

D = b² - 4ac

So, let's identify our values.

a = 2

b = -10

c = -5

Now, we can plug in our values.

D = -10² - 4(2)(-5)

D = 100 + 40

D = 140

12.2k - 4.000 help pls..​

Answers

Answer:

8200

Step-by-step explanation:

k stands for 1000

12.2k - 4000 = 12200 - 4000 = 8200

Answer:

Solution given:

12.2k - 4.000

12.2×1000-4.000

=12196 is your answer.

7)
You are asked to solve 12x – 18 = 126. Which three statements are true?
A)
First, subtract 126 from both sides.
B)
First, add 18 to both sides.
12x = 144
D)
x=9.
E
x = 12

Answers

The answers is D I had this question

Answer:

B, C, and E

Step-by-step explanation:

HELP WILL GIVE BRAINLIESY​

Answers

Answer:

75

Step-by-step explanation:

x=60

i litterly just finished this question and lesson tell me if u need help with others

Find the surface area of the composite solid 6 ft 4 ft 5 ft 5 ft​

Answers

The surface area of the composite solid is 165 [tex]feet^2[/tex].

We possess

4 triangles, each measuring 6 feet in height and 5 feet in base

4 rectangles, each measuring 5 feet long and 4 feet wide

1 square has side a = 5 feet.

The formula for a triangle's area is:

[tex]A_T=\frac{1}{2} bh[/tex]

Substitute:

[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]

Formula for calculating a rectangle's area:

[tex]A_R=lw[/tex]

Substitute:

[tex]A_R=5*4\\A_R=20 ft^2[/tex]

The formula for a square's area is as follows:

[tex]A_s=a^2[/tex]

Substitute:

[tex]A=s=5^2\\A_s=25 ft^2[/tex]

The composite solid's surface area is:

[tex]SA=4A_T+4A_R+A_s[/tex]

Substitute:

[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]

The composite solid has a surface area of 165 [tex]feet^2[/tex].

To learn more about surface area, refer:-

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HELP 76 POINTS IF YOU DO Which equations represent linear functions?
Select all that apply.
A. y = 2x
B. x = 8
C. y = 5x2 + 2
D. y = x2
E. y = -2x + 1

Answers

My answer would be A and D

Answer: a,c,d

Step-by-step explanation:

i really need help please!!

Answers

Answer:

q te ayude tu papá o mamá ajjajajajajajajajajajajajajajaja

Plss help can use desmos calculator thanks

Extra 100 points
And brainlist

Answers

Answer:

edit: the answer is 1

none; I've tried all of them but they didn't work sorry

Step-by-step explanation:

211,000(1-.041/.1)^3 is the equation i used to check them

.1 because every 10 years

30*.1 is 3

decreases at a rate of .041 or 4.1%

edit: it's 1

the .1 wasn't required so it is:

211,000 (1-.041)^3

PPLEASE HEP PLEASE I BEG YOU

Answers

The answer is option C

one box has 16 apples. another box has 24 lemons. each apple weighs twice as much as each lemon. if a is the weight of the box of apples and b is the weight of the box of lemons, what is a/b?​

Answers

Answer:

32/24

Step-by-step explanation:

16 times 2 is 32

The value of a/b is 4/3.

What is unitary method?

The unitary method is used to find the value of a single unit from a given multiple.

One box has 16 apples.

One box has 24 lemons.

If 'a' is the weight of  box of apples and 'b' is the weight of box of lemons.

As each apples weigh 2 times the lemon

Weight of box of apples= 16*2*b=32b

Weight of lemon box = 24b

So, a/b

=32b/24b

=32/24

=4/3.

Hence, value of a/b is 4/3.

Learn more about unitary method here:

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76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​

Answers

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

[tex]P=5l[/tex] where l is the side length

Plug in the side length 7.6 cm

[tex]P=5(7.6)\\P=38[/tex]

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

[tex]A=\frac{1}{2} Pa[/tex]

Plug in the perimeter (38) and the apothem (5.2)

[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

What is the product of -3 and 5

Answers

Answer:

45 is the correct answer

Answer: -15

HOPE THIS HELPS

The scale on a map is 1in.=20mi. if the distance between two cities on the map is 2.5 inches how far apart are the actual cities?

Answers

Answer:

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Step-by-step explanation:

El 15% de las ventas de un comercio ha sido de productos que valían 100€ o más. Si se han realizado 595 ventas de productos que valían menos de 100€, ¿que numero de ventas se han realizado en total?

Answers

Answer:

700 total sales

Step-by-step explanation:

The computation is shown below:

After 15% discount i.e.

= 100 - 15

= 85%

Now

85% = 595 sales of less than € 100

So,

15% = x sales of € 100 or more than € 100

After this

(595 × 15) ÷ 85 = 105 sales of € 100 or more than € 100

The number of total sales is

= 595 + 105

= 700 total sales

pls helppp i need helppp

Answers

Answer:

square - quad with four right angles and four congruent sides

rectangle - quad with four right angles

parallelogram - quad with two pairs of parallel sides

rhombus - quad with four congruent sides

trapezoid - quad with one set of parallel sides

Somebody help me with these two I have one more after then I can go outside :)​

Answers

Answer:

Step-by-step explanation:

7)

perimeter of a circle is d[tex]\pi[/tex]

50[tex]\pi[/tex]= 157.0796 for both of the circular ends

plus 200 for the two straights

357.07 m

8)

the triangle is 8*2.5 =20  for both sides

10*10 = 100

and 5*7=35  but that's a negative , it's subtracted

120-35=85

85 [tex]in^{2}[/tex]

Now go out side and get exercise  :)

Answer: 65in

Step-by-step explanation:

Break the trapezoid into a rectangle (8in by 10in) and the leftovers are 2 triangles. Find the area for the triangles. Because the top of the trapezoid is 10in and the bottom is 15in, then we know that 15-10 = 5 and that the triangles are 2.5in by 8in. Because the triangles are the same congruent, then just multiply 8 by 2.5 to get 20.

Find the middle part now, which is 8 times 10 to get 80. Then 80 + 20 = the area of the trapezoid.

Lastly, subtract the non shaded region (7x5=35) and then 100-35 = 65

Levi and his family belong to a family share plan for their cell phones. The pan includes unlimited minutes, text, and
Internet access for a monthly charge of $250.00 plus $10 for each line. Their plan may include as few as 2 lines and as
many as 12 lines. Complete the table to determine the cost for each plan member. Write a function that can be used
to determine the cost per month, y, for each plan member, X.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of calculations of bills.

The bill calculation goes as equation,

y = $250 + n*($10)

here, n = number of lines,

1.) For n = 2 , Y = cost = 250 + 20 = $270

2.) for n = 4 , Y = $290

3.) for n = 6 , Y = $310

4.) for n = x, Y = $250 + x*($10)

for lastly 12 members we get as,

Y = 250 + (12)*(10) = 250+120 = $370

answer for brainlest and 10 points

Answers

Answer:

Rational

Step-by-step explanation:

This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.

what is the area of the white box

Answers

Answer:

         12 m²

Step-by-step explanation:

The white box is a rectangle with width of:

a = 2 m

and length of:

b = 7 m - 1 m = 6 m

So its area is  A = 2 m × 6 m = 12 m²

{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}

Which equation represents the line that perpendicular to the graph of 4x+3y=9and pases through (-2,3)

Answers

Answer:

Step-by-step explanation:

4x + 3y = 9

Slope of line = -4/3

Slope of perpendicular to line = ¾

Equation of perpendicular:

y-3 = ¾(x+2)

Solve for the remaining sides and angles.l

Answers

Answer:

show the options

Step-by-step explanation:

.....................

Which logarithmic equation is equivalent to this exponential equation?

12=5^x

Answers

Given:

The equation is:

[tex]12=5^x[/tex]

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]

We have,

[tex]12=5^x[/tex]

Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get

[tex]\log_{5}12=x[/tex]

[tex]x=\log_{5}12[/tex]

Therefore, the correct option is C.

Find the difference. Write your answer in standard form.
( 4x2 – x+6) – (-3x² + 5x + 2)


What is the difference in standard form?

Answers

Answer:

7x² - 6x + 4

Step-by-step explanation:

(4x² - x + 6) - (-3x² + 5x + 2)

4x² - x + 6 + 3x² - 5x - 2

4x² + 3x² - x - 5x + 6 - 2

7x² - 6x + 4

71.700 rounded to the nearest hundredth

Answers

Answer:

71.70

Step-by-step explanation:

Answer:

71.70 for sure

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