The addison see to the horizon at 2 root 2mi.
We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.
We have to find the how much farther can addison see to the horizon
Which equation we get from the given condition?[tex]d=\sqrt{\frac{3h}{2} }[/tex]
Where, we have
d- the distance they can see in thousands
h- their eye-level height in feet
For Kaylib
[tex]d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)[/tex]
For Addison h=85(1/3)
[tex]d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)[/tex]
Subtracting both distances we get
[tex]8\sqrt{2}-6\sqrt{2} =2\sqrt{2}[/tex]
Therefore, the addison see to the horizon at 2 root 2mi.
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Answer:
2 root 2mi.
Step-by-step explanation:
Edge2020
Round to nearest tenth and solve for x
Answer:
[tex]\displaystyle 9,6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
OR
[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Please help with this question
Answer:
160°
Step-by-step explanation:
Minor Arc NR is equal to the measure of its central angle, S.
S and 20 are supplementary angles, so they add up to 180.
So, s +20 =180
S = 160, so NR = 160 as well
What is the area of the given triangle?
Answer:
B 12
Step-by-step explanation:
4 x 6 = 24 divided by 2 = 12
The first three terms of a geometric sequence are as follows.
-3, 15, -75
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Here the common ratio is -5
next terms will be 375 and -1875
If there are fifty dimes in a roll of coins, then it is equal to________dollars
Answer:
$5
10 Dimes = $1 so If we have 50 dimes that = 5$
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Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?
Answer:
There are 45 stamps from Africa
Step-by-step explanation:
10% of 150 is 15
30% of 150 is 45
15*3 = 45
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Answer:
The first one: 13.125 ft³
The second one: 67.5 ft³
Step-by-step explanation:
For the first one:
The volume of a prism is length x width x height.
So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.
However, you can conver 1/2 to .5, to make it easier to multiply.
So, 3.5 x 2.5 x 1.5 = 13.125
Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
For the second one, same formula:
Length = 6, width = 2 1/2, and height = 4 1/2
6 x 2.5 x 4.5 = 67.5
Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
Answer:
13.125 [tex]ft^{3}[/tex]
Step-by-step explanation:
Volume is base * length * height.
In this case, the dimensions are 1.5, 3.5, and 2.5.
Assuming these values are the base, length, and height,
1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].
Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].
Hope this helps!
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asey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone?
Tambourine: $13.95Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them.
The estimated total to the nearest dollar is $37, so he can afford them.
The estimated total to the nearest dollar is $36, so he can afford them.
The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
I would pick a, the estimated total to the nearest dollar is 38
Step-by-step explanation:
13.95 rounded is 14
23.50 rounded is 24
24+14=38
Find the distance between (-3, 7) and (-8, 5).
help me with this please!!!!!!
Answer:
29 square root or 5.39
Step-by-step explanation:
Answer:
5.39 units.
Step-by-step explanation:
Distance = √(-8-(-3))^2 + (5-7)^2)
= √((-5)^2 + (-2)^2)
= √(25+ 4)
= √(29)
= 5.39.
What is the value of x? (Do not put in the degree symbol)
Step-by-step explanation:
x+134=180(straight angle)
x=46
How to find the square root of complex numbers?? Find the square root of (6+8i) ??
Answer: NaN
Step-by-step explanation: The square root of a complex number can be determined using a formula. Just like the square root of a natural number comes in pairs (Square root of x2 is x and -x), the square root of complex number a + ib is given by √(a + ib) = ±(x + iy), where x and y are real numbers.
http://www.math.com/students/calculators/source/square-root.htm
that's the website I used
You can also maybe do it on a scientific calculator?
Hope that's helpful
Help me actually,
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠R=
°
Answer:
Step-by-step explanation:
Cos(R) = adjacent / hypotenuse
Adjacent is the side connected to the angle
Adjacent = 12
Hypotenuse = 13
Cos(R) = 12 / 13 = .9231
Now you find R by taking the inverse cos of (R). On most calculators it is 2nd function cos
R = cos-1(0.9231)
Answer: R = 22.62 degrees
[tex]\\ \rm\Rrightarrow sinR=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinR=\dfrac{5}{13}[/tex]
[tex]\\ \rm\Rrightarrow sinR=0.38[/tex]
[tex]\\ \rm\Rrightarrow R=sin^{-1}(0.38)[/tex]
[tex]\\ \rm\Rrightarrow R=22.33°[/tex]
Find the decimal approximations for these give your answers to 1 decimal place.
a)square root of 3
b)square root of 21
c)square root of 62
Answer:
A) 1.7
B) 4.5
C) 7.8
what is the solution of the system of equations 4x+2y=-1 and 3x+4y=3
Answer:
7x+6y=2
Step-by-step explanation:
All you have to do is add both of the equations together.
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answer:
it’s B
Step-by-step explanation:
Answer: The answer to the question is option A
Step-by-step explanation:
Solve and check 5x-12=3x+24 (I’m so lost)
In this equation x=18
Work Shown:
5x-12=3x+24
Add 12 to both sides
5x-12+12=3x+24+12
Simplify
5x=3x+36
Subtract 3x from both sides
5x-3x=3x+36-3x
Simplify
2x=36
Divide both sides by two
2x/2 = 36/2
Simplify
x=18
Answer:
x=18
Step-by-step explanation:
1. Add 12 to both sides
5x-12 +12 = 3x+24 +12
2. Simplify
5x=3x+36
3. Subtract -3x from both sides
5x-3x=3x+36-3x
4. Simplify
2x=36
5. Divide both sides by same factor (2)
2x/2=36/2
6. Simplify
ANSWER: x=18
Which figure is the image of Q?
Find the length of the third side. If necessary, round to the nearest tenth. 6 8 there also a right angle
Answer:
See below ↓
Step-by-step explanation:
Given side lengths :
68This question can be solved in two ways :
Taking the third side to be the hypotenuse (What you're probably looking for)Taking 8 to be the hypotenuse (Probably not needed, but good for understanding the various possiblities)Case 1
By Pythagorean Theorem, as right angle is mentioned :6² + 8² = x²x² = 100x = 10 [Your answer!]Case 2
6² + x² = 8²x² = 64 - 36x² = 28x = 2√7 [Just in case!]Hope it helps~
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
$156.72
$177.38
$180.06
$257.44
Answer:
180.06
Step-by-step explanation:
We first need to sustitue x and y for the time workd on saturday and sunday :)
10.75(1.5)(4.5) + 10.75(2)(5)
Now we multpily in order!!
10.75(1.5)(4.5) + 10.75(2)(5)
72.56 + 10.75(2)(5)
72.56 + 107.50
Now we add!!
72.56 + 107.50
180.06
Your answer is 180.06 :)
Have an amazing day!!
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Select the three equations that are equivalent to the equation 3x−4=5.
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. x = 9
4. x - 4 = 2
5. -4 = 5 - 3x
Hey there!
Solving
3x - 4 = 5
Add 4 to both sides
3x - 4 + 4 = 5 + 4
3x = 9
x = 9/3
x = 3
Equivalent expressions are:
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. 4 = 5 - 3x
If you're confused about the last one
Solving
−4=5−3x
Step 1: Simplify both sides of the equation.
−4=5−3x
−4=5+−3x
−4=−3x+5
Step 2: Flip the equation.
−3x+5=−4
Step 3: Subtract 5 from both sides.
−3x+5−5=−4−5
−3x=−9
Step 4: Divide both sides by -3.
−3x/−3 = −9/−3
x=3 (Still the same answer)
How do you write
–514 11/12 as a decimal
Answer:
what does the -514 relate with 11/12?
Step-by-step explanation:
11/12 written as a decimal is .91
Answer:
It would be -514.916 with a _ over the six.
Step-by-step explanation:
11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.
Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
Learn more about Units conversion:
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The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookies?
Answer:
5
Step-by-step explanation:
5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.
Keisha received a $90 gift card for a coffee store. She used it in buying some coffee that costs $8.47 per pound. After buying the coffee, she had $47.65 left on her card. How many pounds of coffee did she buy?
Answer: 4
Step-by-step explanation:
It sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:
90 - 57.68 = 32.32
Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:
32.32/8.08 = 4
The area of a rectangle is 72.8 ft?. If
one of its sides is 6.5 ft, what is its
perimeter?
Answer:
35.4
Step-by-step explanation:
divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is23ft ft?
Answer:
Step-by-step explanation:
Simply put, it is similar to finding the area of a circle.
Therefore, a=pi*r^2
a=pi*23^2
a=529pi
a=1661.9 ft^2
i need help please 100 points
Divide. 8 from 1/3
20
24
12
4
Answer: B. 24
Step-by-step explanation:
8 / 1/3 =
8 * 3 +
24
Answer:
24
Step-by-step explanation:
8 divided by 1/3=24
1/3x4=1 1/3
1/3x12=4
1/3x24=8
1/3x20=7 1/3
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A science lab has several beakers containing different amounts of the same liquid, as shown in the line plot.
If all the liquid from the beakers is poured into one empty container that can hold exactly 4 liters, how much more liquid can the container hold?
liter(s)
Answer:
4/8 or 1/2
Step-by-step explanation:
Convert all size to x/8
1/4=2/8 and 1/2=4/8
Multiply size of beaker by how many there are filled
1/8 * 2= 2/8
2/8*7= 14/8
4/8*3 =12/8
then add all of them together = 28/8
convert 4 liters to 32/8
Subtract 32/8 - 28/8 = 4/8
Which term BEST describes 11 in the data set?
32, 29, 30, 35, 31, 34, 11
A.mean
B.media
C.mode
D.outlier
Answer:
Choice D.
Outlier
What factors of 12 would add to be 7
Hey there!
These are the factors of 12:
1, 2, 3, 4, 6, 12
These are the factors that add up to 7:
6+1
3+4
These are the factors of 12 that add up to 7 and multiply to 12:
3 & 4
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!