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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What is the measure of the missing angle?
Answer:
42
Step-by-step explanation:
Antoinette Applied for a $6000 loan, which she will start paying back after the interest has accumulated. She had a initial offer for a simple annual interest rate of 6% for three years, but decided to consider other options. Which of the following options of all the crease the interest she pays the most?
F. $5500 loan, simple interest, annual rate of 6%, term of three years
G. $6000 loan, simple interest, annual rate of 5.75%, term of three years
H. $6000 loan, simple interest, annual rate of 6%, term of 2.8 years
J. $5500 loan, compound interest, annual rate of 6%, term of three years
Please Help
At a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
A cylinder has a height of 17 inches and a radius of 8 inches what is the use π = 3.14 and round your answer to the nearest hundredth
Answer:
3418.05
Step-by-step explanation:
Expand and simplify 3(2x-y)-2(4x-2y)
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
Find the circumference
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
diameter = 12cm
radius(r) = diameter ÷ 2radius(r) = 12 ÷ 2radius(r) = 6cmC = 2πr= 2 × 22/7 × 6Circumference = 37.7 cmGirrls and boys plsss i need help like frl:)
D- Most babysit because it pays more per-hour.
The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.
Hope this helps!
Have a great day!
- Hailey
bakit mahalagang matutunan ang mga angkop na pahayag sa panimula gitna at wakas mg isang akda
Answer:
i understand your statement my good sir but, what is the question?
Step-by-step explanation:
Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions.
Equation: −6x2−6=−7x−9
Discriminant: Answer
Solutions:
Answer:
-6x² - 6 = -7x - 9-6x² + 7x - 6 + 9 = 0-6x² + 7x + 3 = 06x² - 7x - 3 = 0Discriminant:
D = (-7)² - 4*6*(-3) = 49 + 72 = 121Since D > 0, there are 2 real solutions:
x = (- (-7) ±√121 )/12x = (7 ± 11)/12x = 1.5, x = -1/3Idil has a smart phone data plan that costs $25 per month that includes 10 GB of
data, but will charge an extra $20 per GB over the included amount. How much
would Idil have to pay in a month where she used 4 GB over the limit? How much
would Idil have to pay in a month where she used went over by x GB?
find the measure of each angle
Answer:
Step-by-step explanation:
m∠ 1 = 180 - 117
m∠ 1 = 63
m∠2 = the same as m∠ 1
m∠2 = 63
m∠3 is also the same b/c of the same length of the "legs" of the triangle
m∠3 = 63
A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible lengths of the legs?
Answer:
The possible length of the triangle =
1) (1inches, 196inches)
2) (2incheq, 98inches)
3) (4inches , 49 inches)
4) (7 inches , 28 inches)
Step-by-step explanation:
We are told the above Triangle is not an Isosceles Triangle
Hence, we assume it is a right angle triangle
The area of a triangle is = 1/2 × Base × Height
= let us represent Base and Height = x
Hence:
1/2 × x × x = 98
x² /2 = 98
Cross Multiply
x² = 98 × 2
x² = 196
Step 2
We find the factors of 196
1× 196 = 196 (1, 196)
2 × 98 = 196 (2, 98)
4 ×49 = 196 (4, 49)
7 × 28 = 196 (7, 28)
Therefore, all the possible length of the triangle =
1) (1inches, 196inches)
2) (2incheq, 98inches)
3) (4inches , 49 inches)
4) (7 inches , 28 inches)
3. A circle with center (0,0) has a y-intercept at (3,0).
Find the equation of the circle.
Answer:
x^2 + y^2 = 9
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here h = 0, k = 0, x = 3 and y = 0:
(3 - 0)^2 + (0 - 0)^2 = r^2, or
9 = r^2. Thus, the radius is 3.
The equation of this circle is (x - 0)^2 + (y - 0)^2 = 9, or
x^2 + y^2 = 9
What is the solution to follow system of equations?
x-3y=7
2x-6y=12
Need help on this one last question
Answer:
available
Step-by-step explanation:
if its available if available comment
evaluate 5^28·5^-32·5^-4
A. 17,920
B. 0.017920
C. 0.000256
D. 0.00000256
Answer:
D 0.00000256
Step-by-step explanation:
[tex]5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256[/tex]
Answer:
B. 0.000256
Step-by-step explanation:
5^28 . 5^- 32 . 5^ -4
= 5^( 28 - 32 - 4 )
= 5^( 28 - 36 )
= 5^- 8
= 1 / 5^8
= 1 / 390625
= 0.000256
20 points help i dont get my brothes school work LOL
Answer:
1/12 a mile
Step-by-step explanation:
Answer:
B. 1/12 is the right answer because you have to times the fraction by the reciprocal because you can't divide a fraction. So, you do 1/3 *1/4 = 1/12
Step-by-step explanation:
have a good day/night
may i please have a branlliest
Write the equation of the line in slope-intercept form
Slope= -7/4
Y-intercept= 5
Answer:
y = - [tex]\frac{7}{4}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{7}{4}[/tex] and c = 5 , then
y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line
What is the median of the data set? History Test Scores 5 0 8 6 5 6 8 9 7 0 3 5 8 8 0 6 7 7 7 9 0 1 3 5 6 8 9 9 5 0 = 50 points
Answer:
The median is 6
Step-by-step explanation:
help
What is the domain and range of the exponential graphed below?
A.Domain: All real numbers
Range: y > -4
B.Domain: All real numbers
Range: All real numbers
C.Domain: x > 0
Range: y < -6
D. Domain: All real numbers
Range: y > 0
Answer:
B
Step-by-step explanation:
I just did the test
The range and domain of the function exists on all real values
Domain and Range of functionsDomain of a function is the value of the input of graph for which the function exists.
The range of a function is the value of the output of graph for which the function exists.
The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values
Learn more on range and domain here: https://brainly.com/question/2264373
The ages of six boys are given as 12years 3 months,18years 10months,18years 8months,13years 4months,17years 11month and 15years respectively, what is their average age?
11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?
The required perimeter of the rectangle is 28 units.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal² [= 10² = 100]
We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100
L² = 100 - 36
L² = 64
L = 8
So the length of the rectangle is 8 units.
To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Therefore, the perimeter of the rectangle is 28 units.
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Select the correct answer
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
z = 180 - 52 = 128°
x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°
x = 180 - 85 = 95°
y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°
y = 180 - 33 = 147°
A=144pi^2 ft. Find the radius
An 80–calorie apple is 4% of jeremy’s daily caloric intake. What is Jeremy’s daily caloric intake?
Answer:
3.2 calories
Step-by-step explanation:
4% is .04
so
80 x .04 = 3.20
What is the probability of landing on a 9 and then landing on a 7?
Answer:
what are we landing on? D 10s D20s?...
Step-by-step explanation:
:/
please help
if your gonna scam just leave i really need help
Answer:
x = 23
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180
That being said we can create an equation to solve for x
180 = 2x + 3x + 1 + 3x - 5
Now we solve for x using basic algebra
step 1 combine like terms
2x + 3x + 3x = 8x
1 - 5 = -4
now we have 180 = 8x - 4
step 2 add 4 to each side
-4 + 4 cancels out
180 + 4 = 184
now we have 184 = 8x
step 3 divide each side by 8
8x/8=x
184/8=23
we're left with x = 23
Last month a bakery sold a total of 3,500 cookies and cupcakes. They sold cookies for $0.75 each and cupcakes for $2 each. If the total sales last month was $4,500, how many cookies and how many cupcakes did the bakery sell?
Answer:
Number of cookies sold is 2000 and number of cupcakes sold is 1500
Step-by-step explanation:
Let number of cookies be [tex]x[/tex]
and number of cupcakes be [tex]y[/tex] so
[tex]x+y=3500[/tex]
Cost of one cookie is $0.75
Cost of one cupcake is $2
[tex]0.75x+2y=4500[/tex]
[tex]x+y=3500[/tex] [tex]\times 2[/tex]
[tex]2x+2y=7000[/tex]
[tex]-1.25x=-2500\\\Rightarrow x=\dfrac{2500}{1.25}\\\Rightarrow x=2000[/tex]
[tex]y=3500-x=3500-2000\\\Rightarrow y=1500[/tex]
Number of cookies sold is 2000 and number of cupcakes sold is 1500.
Angel está adaptando un espacio para hacer actividades recreativas en casa y quiere rodear el borde con plantas, cuántos metros mide el borde si la ecuacion para calcularlo es 2a+2b, donde a representa el ancho y b el largo del espacio, a=1 metro y b=2 metros
Answer:
El borde mide 6 metros.
Step-by-step explanation:
Sabemos que la ecuación para el borde está dada por:
borde = 2*a + 2*b
Si sabemos que:
a = 1 metro
y
b = 2 metros
podemos simplemente remplazar esos valores en la ecuación para el borde, asi obtendremos:
(es decir, donde hay una "a" en la ecuación, escribimos "1 metro", y end donde hay una "b" en la ecuación, escribimos "2 metros", luego resolvemos)
borde = 2*(1 metro) + 2*(2 metros) = 2 metros + 4 metros = 6 metros.
Podemos concluir que el borde mide 6 metros.
