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
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.
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Given klmn is a trapezoid, kl = mn, m<1 = m<2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
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.
Which logarithmic equation is equivalent to this exponential equation?
12=5^x
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.
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?
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.
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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?
71.700 rounded to the nearest hundredth
Answer:
71.70
Step-by-step explanation:
Answer:
71.70 for sure
Line / is shown on the graph below. If another line is drawn, perpendicular to line I, what must be its slope?
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.
Find the difference. Write your answer in standard form.
( 4x2 – x+6) – (-3x² + 5x + 2)
What is the difference in standard form?
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
PPLEASE HEP PLEASE I BEG YOU
Find the surface area of the composite solid 6 ft 4 ft 5 ft 5 ft
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].
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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.
[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
pls helppp i need helppp
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
76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)
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!
Plss help can use desmos calculator thanks
Extra 100 points
And brainlist
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
i need help pleeeeeeeeeease
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
what is the area of the white box
Answer:
12 m²Step-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}
Solve for the remaining sides and angles.l
Answer:
show the options
Step-by-step explanation:
.....................
answer for brainlest and 10 points
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.
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
Answer: a,c,d
Step-by-step explanation:
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
Answer:
B, C, and E
Step-by-step explanation:
Which equation represents the line that perpendicular to the graph of 4x+3y=9and pases through (-2,3)
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)
i really need help please!!
Answer:
q te ayude tu papá o mamá ajjajajajajajajajajajajajajajaja
Which of the following is equal to g(x)?
A. 4(x – 2)
B. 4(x + 2)
C. 4x – 2
D. 4x + 2
write an equation that is parallel to y=8/3x-5 and passes through (-3, -5)
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?
Answer:
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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
▄░▐░░░▄▄░█░▀▀ ░░
▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
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Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
Answer:
The answer would be 50m units squared.
What is the product of -3 and 5
Answer:
45 is the correct answer
Answer: -15
HOPE THIS HELPS
Somebody help me with these two I have one more after then I can go outside :)
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
12.2k - 4.000 help pls..
Answer:
8200Step-by-step explanation:
k stands for 1000
12.2k - 4000 = 12200 - 4000 = 8200Answer:
Solution given:
12.2k - 4.000
12.2×1000-4.000
=12196 is your answer.
HELP WILL GIVE BRAINLIESY
Answer:
75
Step-by-step explanation:
x=60
i litterly just finished this question and lesson tell me if u need help with others
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?
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