From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.
How else can the maximum height of the parasailer be identified?In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.
If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.
SOH - Sine is Opposite over Hypotenuse
CAH - Cosine is Adjacent Over Hypotenus; while
TOA - Tangent is Opposite over Adjacent.
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The picture is the question
Answer:
exponential
Step-by-step explanation:
The function follows the rule :
y = 3ˣAs y varies directly to the power of the exponent, this function is exponentialLet's check
Common ratio
3/1=39/3=3Its a geometric sequence
Hence exponential
AB has endpoints A(4,-3) and B(3,7). Line d is the perpendicular bisector of AB. Which of the following is NOT an equation of line d?
Answer:
B
Step-by-step explanation:
We know that AB has endpoints at A(4, -3) and B(3, 7).
To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.
So, let's find the slope of AB using the slope formula:
Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:
So, the slope of AB is -10.
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.
So, Line D has a slope of 1/10.
Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.
To find the midpoint, we can use the midpoint formula:
We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:
Evaluate. So, the midpoint is:
Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:
Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:
This is the same as choice C. So, choice C is indeed an equation of Line D.
We can distribute the right to obtain:
Add 2 to both sides to acquire:
This is the same as choice D. So, choice D is indeed an equation of Line D.
Moreover, we can put this into standard form by multiply everything by 10, which gives:
Subtracting x from both sides yields:
This is the same as A. So, choice A is also an equation of Line D.
There is no way to acquire choice B. So, B is not an equation of Line D.
Therefore, our answer is B.
And we're done!
Give a full description of how you solve it and I'll give the brainiest. Solve both, please.
Other than the unit Celsius, Fahrenheit is another unit of measure for temperature. The
temperature Y, in degree Fahrenheit (°F), is equal to 32 more than of the temperature T,
in degree Celsius (°C).
Find a formula to express T in terms of Y.
Answer:
Y = 32 + T
Step-by-step explanation:
Given:
- temperature Y, in degree Fahrenheit (°F)
- temperature T, in degree Celsius (°C)
- Y equal to 32 more than of the temperature T
Y = 32 (more means add) + temperature T
There is a pair of parallel sides in the following shape units^2
Parallel lines are the top & bottom lines - labelled 10 & 2
A = 0.5(2+10) x 2
=12 units^2
Hope this helps!
Lance rides his bike at an average speed of 32 mph.
If he has 3072 miles to ride, how many hours will it take him?
How many days is that?
Answer:
96 days. Divide 3072 by 32 and you get 96.
if there are 20 balloons and 5 pop how many are left
I'll give brainiest to whoever answers both of these correctly
The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
1)Of the people surveyed, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2) Of the elementary school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
Answer:
1) 45%
2) 24%
Step-by-step explanation:
1) Total number of people surveyed = 26 + 84 + 72 + 34 = 216
number of people who own a smartphone = 26 + 72 = 98
∴ relative frequency = [tex]\frac{98}{216}[/tex] ˣ 100 = 45%
2) Total number of elementary school students = 26 + 84 = 110
∴ relative frequency = [tex]\frac{26}{110}[/tex] ˣ 100 = 24%
Hope this helps!
Solve the following...
[tex]1 \cfrac{1}{5} \times 2\cfrac{1}{3} [/tex]
Let's see
[tex]\\ \rm\Rrightarrow 1\dfrac{1}{5}\times2\dfrac{1}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6}{5}\times \dfrac{7}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6(7)}{5(3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{42}{15}[/tex]
[tex]\\ \rm\Rrightarrow2 \dfrac{12}{15}[/tex]
simplify -3sqrt84x^3
answer asap please
Answer to your question
-6x sqrt21x
Write an equation of the graph
A. y = 1/2x + 5
B. y - 3 = 1/2 (x + 1)
C. y + 3 = -1/2 (x - 1)
D. y - 3 = -1/2 (x + 1)
Answer:
It's A
Step-by-step explanation:
y/x
it's starting point is 5 and it goes up 1 and over 2
1 is on the y-axis and 2 is on the x-axis and it is y over x so the answer is 1/2x+5
NOTE:I MAY NOT BE ACCURATE BUT IM PROBABLY IT COULD BE WRONG BUT IF U REALLY ARE STUCK ON A QUESTION THEN CHOOSE A
Justify each step in solving the equation 2 + 3 = 4( − 6) by writing a reason for each statement
If the value of x will be 11 degrees. Then the measure of angle ∠AEB will be 72 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Two lines AC and BD are intersecting each other at point E.
The angle ∠AEB = 7x - 5 and the angle ∠CED = 2(4x - 8).
Then the measure of angle ∠AEB will be
We know the angle ∠AEB and ∠CED are the vertically opposite angle. Then they both are equal.
∠AEB = ∠CED
7x - 5 = 2 (4x - 8)
7x - 5 = 8x - 16
16 - 5 = 8x - 7x
x = 11
Then the measure of angle ∠AEB will be
∠AEB = 7x - 5
∠AEB = 7 (11) - 5
∠AEB = 77 - 5
∠AEB = 72°
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pls help pls help pls help
Answer:
three four five
u welcome glam rock freddy
Giving Brainliest!
Select the statement that describes the expression 12 x (6 ÷ 2 x one fourth).
12 times one fourth the quotient of 6 and 2
12 times one fourth the sum of 6 and 2
12 times one fourth the product of 6 and 2
12 times one fourth the difference of 6 and 2
USING G O OGLE OR COPYING/REWORDING SOMEONES ANSWER = REPORT
find the value of n.
8 × 2^3n = 2^12
6th grade math help me
find the value of n.
8 × 2^3n = 2^12
Answer :-n = 3
Solution :-[tex]\sf\ given \:: \: 8 \times 2 ^{3n} [/tex]
[tex]\sf\rightarrow 8 \times 2 ^{3n} \: = {2}^{12} [/tex]
[tex]\sf\rightarrow {2}^{3n} = {2}^{12} \: \: (8 = {2}^{3} )[/tex]
[tex] \sf\rightarrow {2}^{3n + 3} = {2}^{12} \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]
Equating powers since bases are same.
[tex]\sf\rightarrow 3n \: + 3 = 12[/tex]
[tex]\sf\rightarrow 3n \: + 3 - 3 = 12 - 3[/tex]
[tex]\sf\rightarrow 3n = 9[/tex]
Divide both sides by 3.
[tex]\sf\rightarrow n = 3[/tex]
Thus the value of n is 3 .
four points are always complanar if
Find the volume of each figure. Round you
137cm
5 cm
B) 350 cm³
D) 116.67 cm³
10 cm
A) 88.74 cm³
C) 148.29 cm³
Please help ASAP!!
Answer:
e
Step-by-step explanation:
e
1. Find the vertex, (x, y) x-value is the number inside the brackets, but take the opposite of its; y-value number outside at the back of the bracket: (4,8)
Answer:
9y(c=7) witch means the answer is 8,6
Step-by-step explanation:
I took it and got 5 out of 5 right ✅
What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters
Answer:
15cm
Step-by-step explanation:
150 meters are too long since 1 meter is about one big step.
15 meters would also be too long.
150 centimeters is the same as 1.5 meters, which is also too long.
can I get help please
Answer:
s=55°
Step-by-step explanation:
sum of angles of the inside pentagon is 540°
2s+2s+1s+130°+135° =540°
5s+265°=540°
5s=540°-265°
5s=275°
5s/5=275°/5
s=55°
Cathy constructs diameter of circle O and then constructs the perpendicular bisector, , of. Which construction can she complete?
A.
an equilateral triangle inscribed in a circle
B.
a regular hexagon inscribed in a circle
C.
a square inscribed in a circle
D.
an isosceles trapezoid inscribed in a circle
Answer:
Step-by-step explanation:
The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Please help ASAP
Answer:
x=40,y=22
Step-by-step explanation:
62/2=31
31+9=40
31-9=22
40+22=62
-please help im so dum dum and id like therapy < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
Step-by-step explanation:
-40
−20−8-12
−28−12
-40
HELPPP WITH MATH HOMEWORKKKK PLSSSS
Answer:
b, d, e
Step-by-step explanation:
Answer:
B, D, E
Read explanation... it always helps...
Step-by-step explanation:
alrighty, we know that anything positive multiplied by anything negative results in a negative number....
with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19
i hope this helps!!!
whats the answer to this. In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth.
The length of arc JL is 24.46 units see attachment for diagram.
What is an arc?An arc is a part of the circumference of a circle that meets two radii of a circle to form a sector.
Analysis:
From bigger triangle, if we bisect 144, the line meets JL at 90°.
To find AL,
sin 72 = AL/6
AL = 6 sin 72 = 5.71
To find the angle at O
∠O = 2∠K ( twice angle at circumference is equal to angle at center)
∠O = 2 (144) = 288°
For smaller right-angled triangle,
sin 144 = AL/OL
sin 144 = 5.71/OL
OL = radius of circle = 5.71/0.587 = 9.73 unit
length of arc JL = ∅/360 x 2πr
= 144/360 x 2 x 3.142 x 9.73 = 24.46 units
In conclusion, the length of arc JL is 24.46 units
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A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. elena calculated the volume of the pyramid as shown. v = 1 3 bh v = 1 3 (80)(15) v = 400 in.3 what was her mistake? elena used the wrong units. elena incorrectly used the slant height instead of the height. elena multiplied incorrectly. elena should not have multiplied by one third.
Answer:
Elena incorrectly used the slant height instead of the height.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i got it right
I need help with this math question please!
Answer:
x < 0
( x is less than 0 )
Explaination:
That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).
If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)
The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.
A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.
Hope this helps out! :D
Graph the inequality.
-1
Answer:
Step-by-step explanation:
Find the volume of the composite solid. Round your answer to the nearest hundredth.
3 cm
3 cm
10 cm
The volume is about cubic centimeters.
Answer: see my work
Step-by-step explanation:
volume is lwh
volume is 3*3*10
volume is 9*10
volume is cubic cm
volume is 90
volume is 90 cubic cm
Answer:
90cm^2
Step-by-step explanation:
3x3=9
9x10=90
A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapling is
48
inches tall. The student finds that the tree sapling grows an average of
3
inches per month.
Which expression represents the height of the tree sapling after
x
months?
pls hurry, i need help asap
Reason:
The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.
Let's say x = 5 months have elapsed as an example.
The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.