Answers
Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Related Questions
The solution to a problem is an irrational number. Which statement is true about the solution
A. It can be expressed as a non repeeating, non terminating decimal.
B. It can be a perfect square
C. It cannot be pie
[tex]\pi[/tex]
D. It is not possible to have a irrational number solution.
Answers
Answer:
A. It can be expressed as a non repeating, non terminating decimal.
Step-by-step explanation:
Irrational numbers are numbers with a decimal that goes on forever.
The decimal also never repeats, for the entirety that it goes on.
Since the solution is an irrational number, this means that the solution can be expressed as a non-repeating and non-terminating decimal.
So, A is the correct answer.
Answer: a
Step-by-step explanation: i agree with rocco 908
What is diffusion
Explain how blood clots
When was the first world war fought
Answers
Answer:
Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.
Step-by-step explanation:
LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 •Third card: -5 What is the sum of the values of LuAnn’s three cards?
Answers
Answer:
4
Step-by-step explanation:
maybe because negative cancells a positive
Do I write like the measurements? I don’t get this question someone help pls
Answers
Answer:
Milk - 3 cups
Eggs - 2
Self-Raising Flour - 4 cups
Caster Sugar - 2/3 cup
Melted Butter - 50g
Step-by-step explanation:
The question asks for the quantity of each ingredient needed to make 24 pancakes. The recipe we are given makes 12 pancakes.
To figure out our proportions, we can divide the number of pancakes we need to make by how many the recipe makes.
24/12 = 2
This tells us that we will need to double the quantity of each ingredient in the recipe to make 24 pancakes.
1.5 · 2 = 3 cups of milk
1 · 2 = 2 eggs
2 · 2 = 4 cups of self-raising flour
1/3 · 2 = 2/3 cup of caster sugar
25 · 2 = 50g of melted butter
hmm what is 5567x443
Answers
Answer:
2466181 is the answer
Find the coordinates of the image after the translation
of line RS with vertices: R(-2,-4) and S(0,2).
Translation: (x,y) --> (x-3, y+4)
Answers
Answer:
If I woke up without ya
I don't know what I would do
Thought I could be single forever 'til I met you
Usually don't be fallin', be fallin', fallin' first
You got a way of keeping me comin' back to back
I just found out the only reason that you lovin' me
Was to get back at your ex lover but before you leave
Usually I would never, would never even care
Baby, I know she creepin' I feel it in the air
Step-by-step explanation:
Helppppppppppppppppp
Answers
Answer:
if it's asking for the like point it would be (3,3)
Step-by-step explanation:
i apologize if that's not what it is asking for
The temperature in Anchorage, Alaska, was –3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees.
What was the temperature after the sun went down?
Answers
Answer:
Step-by-step explanation:
ion
Fadil sells televisions. He earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Fadil sells 11 televisions with extended warranties, he earns $770. How much is the fixed amount Fadil earns for each television
Answers
Answer:
770.00 divided by 11 = total cost of 70.00 per tv, subtract 20.00 for extended warranty, TVs were 50.00 each.
Answer:
$50
Step-by-step explanation:
Given: The amount earned by Fadil on selling 11 televisions= $770
Therfore, the amount he earned on selling 1 television=
[tex] \frac{770}{11} [/tex]
=$70
Since, he sold televisions with extended warranty and he earns $20
Then, the fixed amount Fadil earns for each television= $70-$20=$50
So, Fadil earns $50 as the fixed amount for each television.
Can y’all help me plzzzz
Answers
Answer:
D
Step-by-step explanation:
15 tickets were solds right as 150 dollars were made.
Answer:
D- 10 is your slope
Step-by-step explanation:
you can see that the point it directly goes through is (15,150)
if you do rise/run to determine the slope, you would get 150(rise)/15(run)
which gives you 10!
If f(x)=x^3+11x^2+31x+21 and x+1 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.
Answers
9514 1404 393
Answer:
{-1, -3, -7}
Step-by-step explanation:
Dividing the given polynomial by (x+1) yields a quotient of x^2 +10x +21. That factors as (x+3)(x+7), so the three zeros are ...
x ∈ {-1, -3, -7}
__
The factors of x^2 +10x +21 are found by looking for factors of 21 that have a sum of 10. Those factors are 3 and 7, so the complete factorization of f(x) is ...
f(x) = (x +1)(x +3)(x +7)
The zeros are the values of x that make these factors be zero. In each case, that x-value is the opposite of the constant in the binomial term.
one side of an isosceles triangle is three times as long as another side of the triangle. If the perimeter of the triangle is 140, then what is the length of the base of the triangle please answer quick
Answers
Answer:
20
Step-by-step explanation:
If length of the base is x, then the other sides are 3x
so x + 3x + 3x = 140
7x = 140
x = 140/7 = 20
what is 17 - (-12)=
who knows the answer please help
Answers
Answer:
The answer is "29".
Step-by-step explanation:
17 - ( -12) =
17 + 12 =
= 29
Answer:
The answer is 29
Step-by-step explanation:
the answer is 29
In a right angled triangle, right angle at C, if AB = 32 cms and sin B=5 by 8 find AC
Answers
The numerical length of side AC is 20 units
How to determine the length of AC?The given parameters are:
AB = 32 cm
sin(B) = 5/8
The possible triangle is added as an attachment
From the attached triangle, we have the following sine ratio
sin(B) = AC/AB
This gives
5/8 = AC/32
Multiply both sides of the triangle by 32.
So, we have
AC = 32* 5/8
Evaluate the product
AC = 20
Hence, the numerical length of side AC is 20 units
Read more about right triangles at
https://brainly.com/question/2437195
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using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
Answers
According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
According to the statement
We have to find that the value of the combination.
So, For this purpose, we know that the
A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.
From the given information:
A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:
= 3 yellow pebble + 2 yellow pebbles
= 5 yellow pebbles or 15 red pebbles
And
Two blue pebbles will be:
= 10 yellow pebbles
= 3 red pebbles and 1 yellow pebbles.
So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
Learn more about Combination here
https://brainly.com/question/24756209
Disclaimer: This question was incomplete. Please find the content below.
Question:
A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles
Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
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subtract 3x^2 7x-43x 2 7x−43, x, squared, plus, 7, x, minus, 4 from 8x^2-6x 28x 2 −6x 28, x, squared, minus, 6, x, plus, 2.
Answers
The result when we subtract 3x^2 + 7x - 4 from 8x^2 - 6x + 2 is 5x^2 - 13x + 6.
Subtracting polynomials is a method of subtracting polynomials by converting the signs to the opposite sign. It is done in two methods - vertically and horizontally.
Using the method in subtracting polynomials horizontally:
Step 1: Arrange the polynomials in their standard form.
Both 3x^2 + 7x - 4 and 8x^2 - 6x + 2 are in their standard form(exponents in decreasing order)
Step 2: Place the polynomial next to each other horizontally.
(8x^2 - 6x + 2) - (3x^2 + 7x - 4)
Step 3: Distribute the negative sign to the second polynomial.
(8x^2 - 6x + 2) - 3x^2 - 7x + 4
Step 4: Combine the like terms and arrange them in decreasing order.
8x^2 - 3x^2 - 6x - 7x + 2 + 4
Step 5: Perform the calculations.
5x^2 - 13x + 6
To learn more about subtracting polynomials: https://brainly.com/question/21094209
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Answer the question please and thank you!
Answers
Answer:
44%, 0.4, -3/5, -62%
Step-by-step explanation:
Descending is greatest to least so:
44% is 44/100 so its 0.44
0.4 is pretty straightforward
-3/5 is -0.6
-62% is -0.62
Find m angle 4. SOLVE step by step CORRECTLY !!!! Please help !!!!!!!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
PLEASE HELP ME!!!! What system of equations is shown on the graph below?
A. x-2y=-4 and 2x+y=4
B. x-2y=4 and 2x+y=-4
C. x-2y=-2 and 2x+y=-4
D. x-2y=2 and 2x+y=4
Answers
Straight line= y=mx+c
Orange line
c=-4
m= 4/-2 =-2
y=-2x-4
Rearranged: 2x+y=-4
Blue line
c=-2
m= 2/4 =1/2
y=1/2x-2
Multiply by 2 to get rid of fraction
-2(y=1/2x-2)
= -2y=-x+4
Rearranged:
x-2y=4
HELPP I need the answer
Answers
Answer:
H(1 , 0.5)
F(3 , 2,5)
G(5 , 0.5)
Step-by-step explanation:
First step is to get the coordinates of the points.
H(2,1)
F(6,5)
G(10,1)
To find the vertices after a dilation, we multiply the coordinates by the scale factor of the dilation. Since the scale factor is 0.5, its the same as dividing by two.
The new points are
H(1 , 0.5)
F(3 , 2,5)
G(5 , 0.5)
Need help asap please
Answers
Answer:
c = 5
Step-by-step explanation:
IT'S THE THREE FOUR FIVE TRIANGLE!!
3^2 + 4^2 = c^2
√25 = c
c = 5
Answer:
The formula to use is the pythagorian theorum.
Step-by-step explanation:
That is a²+b²=c²
Take the square of both sides. then add them together. Then take the square root. You should get 5
Which expression is the same as 400.902
Answers
Answer:
4*100+.9*0.1+.002*.001
Step-by-step explanation:
Solve the Expression
8g + 5 - 2r, g = 5, r = 12
Answers
Answer:
21
Step-by-step explanation:
First at all you replaced:
8(5) + 5 - 2(12)
40 + 5 -24
21
Which statements are true regarding the expression below? Check all that apply. 8^-1×8^-3×8
○the last factor,8, with no exponent shown is equivalent to 8^0
○the sum of the exponents is -3
○ the value of the expression is -512
○the value of the expression is 1/512
○an equivalent expression is 8^7×8^-10
○ an equivalent expression is 8^-2×8^-2
Answers
Answer:
D and E are true.
Step-by-step explanation:
a) 8 with no power is not equivalent to 8^0 => FAULSE
b) the of the exponents is -4 => FAULSE
c) the value of the expression is not equal to -512 => FAULSE
d) (YES) the value of the expression is 1/512
e) (YES) an equivalent expression is 8^7 * 8^-10
f) is not an equivalent expression is 8^-2×8^-2 => FAULSE
I would like help again please and thank you for your help ? If you purchase a $24 pair of shoes at a 10% discount
and a $10 belt at a 25%
discount, what is the total
Of the discounts you
receive. What is the
total price you owe,
before tax
Answers
Answer:
With the discounts, you saved a total of $4.90. You still owe $29.10.
Step-by-step explanation:
Shoes:
10% of 24 is 2.4
The shoes cost 21.60 with the 10% discount and before tax.
Belt:
25% of 10 is 2.5
The belt cost $7.50 with the 25% discount and before tax.
Total:
You still owe 29.10 for the belt and shoes before tax.
You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)
Find an equation for the perpendicular bisector of the line segment whose endpoints are (8, 1) and (2, -9).
Answers
What is the slope of the line that passes through the points -16,0 and -8,2?
Answers
Answer:
1/4
Step-by-step explanation:
0 - 2 = -2
-16 - -8 = -8
-2/-8 = 1/4
What is the value of x for which (8-x)^2=x^2
Answers
Answer:
x = 4
Step-by-step explanation:
[tex] {x}^{2} = {(8 - x)}^{2} [/tex]
[tex] = > {x}^{2} = {x}^{2} - 16x + 64[/tex]
[tex] = > {x}^{2} - {x}^{2} + 16x = 64[/tex]
[tex] = > 16x = 64[/tex]
[tex] = > x = \frac{64}{16} = 4[/tex]
Step-by-step explanation:
(8 - x)² = x²
=> 8 - x = x or 8 - x = -x (rejected)
=> x = 4.
Someone please help me
Answers
Answer:
-3/10
Step-by-step explanation:
The fraction would be -30/100 because the man is descending.
-30/100 = -3/10 simplified.
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