Answer:
x = 40
Step-by-step explanation:
40° and (3x + 20)° form a straight line, and a straight line equals to 180°
=> 40 + (3x + 20) = 180
=> 3x = 120
=> x = 40
The maximum walking speed S, in feet per second of an animal can be modeled by the equation S= √gL , where g=32ft/sec
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.
Learn more about the ratio here:
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Stella has 2 yards of fabric. She plans to cut the fabric into pieces that are 1/3 yard long. How many pieces will Stella have?
Answer:
6
Step-by-step explanation:
please please help me!!!
Answer:
obtuse isosceles
hope it helps
Evaluate 3xy + b if x = -4 ,y = 2 , and b = 5
Answer:
-19
Step-by-step explanation:
ok so since they give you all the variables you can substitute their values
for example instead of 3xy you can write 3*(-4)y
so that is the basic idea for this problem
after substituting, the new equation is 3*(-4)*2 +5
i plan on using order of operations, or PEMDAS
3*(-4)=(-12)
(-12)*2=(-24)
-24+5=-19
so the answer is -19
hope this helps!
Each year, roughly 10^6 computer programmers each make about $ 10^5.
How much money is this all together? Express your answer both as a power
of 10 and as a dollar amount.
Arrange the numbers in increasing order. -3, +8, -4, +1, -7
Answer:
-7,-4,-3,+1,+8
Step-by-step explanation:
The bigger the negative number, the less it's worth
Answer:
-7, -4, -3, +1, +8
Step-by-step explanation:
when it comes to negative numbers the larger number is less than the lower number
Frank's paper airplane glided 78.9 m. Sarah's plane glided 85 m. How many more centimeters did Sarah's plane glide? 1 m= 100 cm
Answer:
610 cm
Step-by-step explanation:
78.9 x 100 = 7890 cm 85 x 100 = 8,500 cm
8,500 - 7890 = 610 cm
5. Class 7887 has 2:7 math classes daily. How many math classes do they have
after 21 days? |
PLEASE DONT POST ANY LINKS WRITE ANSWER BELOW
Answer:
56.7
Step-by-step explanation:
2.7 x 21 = 56.7
What is the percent change of 7 increased to 21
Answer:
300%
Step-by-step explanation:
21/7=3 This means that 21 is 3 times more than 7.
Please answer im wasting pointss!!!!
Answer:
bfcfbdgbcbcvgb
Step-by-step explanation:
At the beginning of the year mrs Kerry gave each student in her class a new pencil with welcome to 4th grade written on it A month later the class measured their pencils to the nearest 1/8
what is the rate of change of y=3/2 x
Answer:
3/2
Step-by-step explanation:
rate of change (m) can be found in the equation, y= mx+b
So, the rate of change is 3/2
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
5) If the dice is rolled 300 times, how many times would you predict a roll of a 1?
50
there are 6 numbers in a dice so the probability of guessing it right is 1/6 and if you roll it 60 times you could expect ten 1's
Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
What is the volume of the prism given below?
H: 8
W:15
L:10
Answer: 1200 units cubed
Step-by-step explanation:
Formula = H * W * L
8 * 15 * 10 = 8 * 150 = 1200
Answer:600 units squared :))
Step-by-step explanation:
What number should go in the space?
Multiplying by 0.05 is the same as decreasing by _____%.
Answer:
95%
Step-by-step explanation:
When a value is multiplied by 0.05 ;
The equivalent percentage decrease on the value is :
(1 - 0.05) * 100%
0.95 * 100%
= 95%
Therefore, Multiplying a value by 0.05 is the same as decreasing by 95%
What is the expression -7x2 + 32x + 240 in factored form?
Answer:
I believe the answer is -1 (7x-60)(x+4)
List all the elements of the sample space for the following experiment: You roll a die and toss a penny.
Its not B
Answer:
Answer A.
Step-by-step explanation:
There is a 1/2 chance of getting either heads or tails on a coin since there are only two sides. That means that half of the pairs should contain H and half should contain T.
There is a 1/6 chance of rolling every number on a die. So this needs to be represented with the numbers 1-6 on every pair.
So if we combine both of those, 1-6 being on every pair and H being on half and T being on the other half, we get
1, H
2, H
3, H
4, H
5, H
6, H
1, T
2, T
3, T
4, T
5, T
6, T
Which is answer A.
devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18mm. to get the wax for the candle, devin melts blocks of wax that are each 8 mm by 6mm by 5mm. how many of the wax cubes will devin need in order to make the candle? show all formulas and calculations
Answer:
(1/3)(9*9*10)=270cm^3 pyramid volume
270/(4*4*4)=4.22cubes
round
5 wax cubes
what is the approximate radius of the bowl shown that is shaped as a hemisphere
Answer:
Approximate radius of the given hemisphere is 3 in.
Step-by-step explanation:
Formula to calculate the volume of a hemisphere is given by,
V = [tex]\frac{2}{3}\pi r^{3}[/tex]
Since, volume of the given hemisphere in the picture = 56.52 in²
By substituting the value of V in the formula,
56.52 = [tex]\frac{2}{3}\pi r^{3}[/tex]
Now solve the expression for the value of 'r',
r³ = [tex]\frac{3}{2\pi }(56.52)[/tex]
r³ = 26.99
r = ∛(26.99)
r = 3 in.
Therefore, approximate radius of the given hemisphere is 3 in.
What is 28/20 simplified? And what is 20/28 simplified
Answer:
Step-by-step explanation:
What is 28/20 Simplified? -
7/5 is the simplified fraction for 28/20.
5/7 is the simplified fraction for 20/28
Answer:
28/20 would be 14/10 which would be 1 and 4/10.
20/28 would be 10/14 which would be 5/7
Step-by-step explanation:
you just cut it in half until you can't anymore.
A textbook store sold a combined total of 447 sociology and psychology textbooks in a week. The number of psychology textbooks sold were 43 less than the number of sociology textbooks sold. How many textbooks of each type were sold
Answer:
404
Step-by-step explanation:
Noah is visiting his aunt in texas
When carlos had one dog, he needed to serve 1/3 can of dog food\ each day, he adopted another dog and now he needs to serve a total of 5/6 can of dog food each day, how much extra does he have to feed his dogs now
Answer:
an extra 1/2 can
Step-by-step explanation:
if you change 1/3 into 2/6, you can see that he originally fed 2/6 of a can and now feeds 5/6 meaning that not he feeds an extra 3/6 which simplifies into 1/2
What is the probability of randomly selecting an odd number from the numbers 1-11?
Answer:
6 out of 11 is the probability of choosing a odd number
Step-by-step explanation:
8.88 = 4.44(x-7)
Solve for x
Show or explain your method
Answer:
x=9
Step-by-step explanation:
8.88=4.44x-31.088.88-4.44x=-31.08-4.44x=-31.08-8.88-4.44x=-39.96x=9(we divided both rquations by -4.44)Find the Area. (number only)
in
Help me please. :) :) :)
Answer:
c
Step-by-step explanation:
c is the right one
Julie can pack 18 hampers in 5 hours, Kyle can pack 14 hampers in 4 hours. Julie and Kyle work together to pack a total of 40 hampers. If they continue to work at the same rate, how long will it take them to pack the 40 hampers? Give your answer in hours and minutes, to the nearest minute.
Answer:
It will take 1 hour and 25 minutes to pack the 40 hampers
Step-by-step explanation:
Julie can pack 18 hampers in 5 hours
Kyle can pack 14 hampers in 4 hours
Julie and Kyle work together to pack a total of 40 hampers
Work done by Julie in one hour = 18/5
Work done by Kyle = 14/4
Work done all together
14/4 * 4 + 18/5 *5 = 40 * 1/x
14+18/40 = 1/k
K = 40/32 = 1.25 hours