Answer:
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Step-by-step explanation:
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
h = √(R² - x²)
We have;
R = 705 yards
x = 700 yards
∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281
The height of the control tower, h = 5·√281 yards
1 yard = 3 feet
∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
Evaluate the expression when m=8 and n=9.
4n+m
Answer:
44
Step-by-step explanation:
4(9) + 8
=36 + 8
=44
Gabi owns one parcel measuring one square mile and another parcel measuring one mile x half a mile. She combined the parcels and sold them for $2.5 million. What price per acre did she receive for the land
We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8
First, we need to find the total area of the land.
There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:
A' = (1 mi)*(0.5 mi) = 0.5 mi^2
The total area is the sum of these two, we get:
1 mi^2 + 0.5 mi^2 = 1.5 mi^2
And notice that we want to get the price per acre, knowing that:
1 mi^2 = 640 acres, then:
1.5 mi^2 = 1.5*(640 acres) = 900 acres.
The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:
P = ($2,500,000)/(900 acres) = $2,777.8
So each acre costs $2,777.8
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What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️
Let's see
[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]
[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]
From both
9x=4x=4/9(︶^︶)Brainliest for everyone!!!! ohh wait ????
Answer:
[tex]\frac{81}{256}[/tex]
Step-by-step explanation:
[tex](\frac{3}{4})^4 \\\rule{150}{0.5}\\\\\text{Note the exponent rule: }( \frac{a}{b}) ^c = \frac{a^c}{b^c} \\\rule{150}{0.5}\\\\\frac{3^4}{4^4}\\\\\rightarrow 3^4 = 81\\\rightarrow 4^4 = 256\\\\\boxed{\frac{81}{256}}\\\\\text{The answer is already in it's simplest form.}[/tex]
for a brainlist +10 points please help
Answer:
C. Two smaller atoms come together to form a larger atom that is a different element.
Explanation:
Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.
What’s the product of 2.6
Answer:
2×6=12
Step-by-step explanation:
graph [tex]graph y = 1/4x +1[/tex]y= 1/4x +1
Answer:
Graph below
Step-by-step explanation:
start at (0,1)
up 1
right 4
Help me please i beg you please
Using Pythagorean theorem
[tex]\\ \sf\longmapsto x^2=26^2-10^2[/tex]
[tex]\\ \sf\longmapsto x^2=676-100[/tex]
[tex]\\ \sf\longmapsto x^2=576[/tex]
[tex]\\ \sf\longmapsto x=24ft[/tex]
For his car, Benny paid $70.96 on speakers and $83.52 on new tires with
wo $100 bills. How much did Benny get in change?
Answer:
If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.
Explanation:
$70.96 + $83.52 = $154.48
2 Hundred Dollar Bills = $200.00
$200.00 - $154.48
a point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2)=25 is?
The point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
(x-h)^2 + (y-k)^2 = r^2
The given equation is
(x+10)^(2)+(y+1)^(2)=25
Where,
h = - 10
k = -1
r = 5
If x = -6 and y = 2
then the given equation of circle is stidfy the given points.
Hence, the point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).
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find x if 2^x=8^3x-8
Step-by-step explanation:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.
Is this answer right?
Answer:
Step-by-step explanation:
all angles are congruent:false
B.consecutive angles are congruent:false
corresponding angles are congruent:true.
c.diagonals bisect eachother:true.
d.diagonals bisect opposite angles:false.
List the first six common multiples of 6 and 9
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
41 divided by 533 estimate it and its long division and I have to find the R
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
What’s the next 3 terms of the sequence -2,8,-32?
Answer:
Step-by-step explanation:
This is a geometric series.
First term = - 2
Ratio = second term ÷ first term = 8 ÷ (-2) = -4
Next three terms are:
-32 *(-4) = 128
128*(-4) = - 512
-512*(-4) = 2048
Answer:
The next 3 terms would be 128, -512, 2048
Step-by-step explanation:
Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]
Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4
So we would rewrite the equations to find the next three terms as
[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]
[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]
[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]
Can someone help me please find the perimeter
Answer:
8x + 9
Step-by-step explanation:
Perimeter is the sum of all sides:
2x + x+8 + 5x+1 = 8x + 9
help me pls with my geometry
Answer:
answer in pic above
Step-by-step explanation:
did this over thrice before coming to the right answer lol
i hope it helps you xxx
PLEASE HELP ME OUT!
25 cm = ______ mm
15 g = ______ mg
Answer:
25cm = 250mm
15g = 1500mg
Step-by-step explanation:
cm to mm = multiply by 10
therefore 25 x 10 = 250
g to mg = multiply by 1000
therefore 15 x 1000 = 15000
Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4
Answer:
A, B, D are correct
Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
Incorrect, 12 x 3 = 36, not 32
D. 32 divided by 8 = 4
Works, it is correct
-Chetan K
3g + h = 1
-2g + h= 10
?
Answer:
{g,h} = {-9/5,32/5}
Step-by-step explanation:
h = 2g + 10
3g + (2g+10) = 1
[1] 5g = -9
5g = - 9
g = - 9/5
g = -9/
h = 2g+10
h = 2(-9/5)+10 = 32/5
{g,h} = {-9/5,32/5}
Can someone solve 33 and 34 for me
Answer:
33. 320 (D)
34. 5 (A)
Step-by-step explanation:
33.
(14+3+3) x (10+3+3)
17+3 x 13+3
17x16
320
34.
P(28)=x+x+(x+4)+(x+4)
28=4x+8
-8 -8
20=4x
/4 /4
5=x
Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?
Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W.
Answer:
42
Step-by-step explanation:
plz help due soon
Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?
Answer:
D
Step-by-step explanation:
6% of 40 is 2.4, 40.00+ 2.40=42.40
Answer:
42.50
Step-by-step explanation:
40X1.06
42.40
What is the amount of discount?
(100 pts)
[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]
[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]
[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]
[tex]\\ \sf\longmapsto Discount=375/100[/tex]
[tex]\\ \sf\longmapsto Discount=3.75[/tex]
Answer:
discount = $3.75
Step-by-step explanation:
Given:
[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]
Multiply both sides by 100 to eliminate the denominators:
[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]
Divide both sides by 10:
[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]
Carry out the multiplication on the right side:
[tex]\implies \sf discount \times 10=\$37.50[/tex]
Divide both sides by 10:
[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]
[tex]\implies \sf discount=\$3.75[/tex]
A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?
Calculate the bee's unit rate of meters per second.
What is the equation of constant proportionality? (y=kx)
Answer:
15 seconds
Step-by-step explanation:
I need help
Given f(x)=-x+6 write an equation for f(x-2)
Answer:
f(x - 2) = - x + 8
Step-by-step explanation:
Substitute x = x - 2 into f(x)
f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8
what is the rate of change of the function ?
Answer:
Rate Of Change Formula At its simplest, the rate of change of a function over an interval is just the quotient of the change in the output of a function (y) over the difference in the input of the function (x) (change in y/change in x)
Step-by-step explanation:
What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6
Answer:
Is 6
Step-by-step explanation:
5X6=30
3X6=18
4X6=24
Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.
If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67
The given function is:
[tex]g(x)=x^4-3x^3-x[/tex]
The derivative of the function g(x) is calculated below
[tex]g'(x)=4x^3-9x^2[/tex]
The question indicates that g'(x) = 12
This means that we are going to equate the derivative of g(x) gotten above to 12
[tex]4x^3-9x^2=12[/tex]
Solving the cubic equation above
The only real valid value of x is 2.67
Therefore, the value of x such that g′(x)=12 is x = 2.67
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