The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
A.) The distance between the boat and the lighthouse when the angle of depression is 10°.
Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(10°) = 822.336ft
B.) The distance between the boat and the lighthouse when the angle of depression is 68°.
Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(68°) = 58.584ft
The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft
Hence, the distance from point A to point B is 763.752ft.
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Answer:
764
Step-by-step explanation:
Rounded. Just did the question
Graph the inequality m > –2.2.
Step-by-step explanation:
I think the question should be m<-2.2 according to your number line
the answer is graphed. I hope it helps
Answer:B
Step-by-step explanation: this is because when it is greater than, it goes right, and if there is no "equal to" it is closed circle and B has a closed circle going to the right of -2.2
Help meee pleaseeeeeeee
Answer:
The answer to this question is letter choice E. 25%.
Step-by-step explanation:
Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
y = -3 -X
Show Graph!!!
100 Points!!!!!
Answer:
y=3x-2
For plotting graph we have to put some x values in above equation then we get y Ans
when x=0,y=-2
when x=1,y=1
when x=2,y=4
when x=-1, y=-5
when x=-2, y=-8
Step-by-step explanation:
Answer:
y=3x-2
Step-by-step explanation:
What’s the next sequence
find the zeros f(x)=x^2+4x-12
Answer:
Step-by-step explanation:
f(x)=x2−4x−
12Set x2−4x−
12 equal to 0.x2−4x−
12
=
0
Solve for
x
.
x
=
6
,
−
2
please help me!! what would x be?? solve for X
Answer:
x = 14
Step-by-step explanation:
The different types of angle relationships:
Supplementary Angles : Supplementary angles are two angles that form a line, the sum of the two angles is 180 degreesComplementary Angles : Complementary angles are two angles that form a right angle , the sum of the two angles is 90 degreesVertical Angles : Vertical angles are angles opposite of each other formed on intersecting lines, the two angles are congruent ( equal to each other )Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.
Creating an equation:
We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.
In other words 9x - 14 + 5x - 2 = 180
Solving for x
Know that we have created an equation we can solve for x algebraically.
9x - 14 + 5x - 2 = 180
==> combine like terms
14x - 16 = 180
==> add 16 to both sides
14x = 196
==> divide both sides by 14
x = 14
And we are done!
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's solve for x } [/tex]~
[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]
[tex] \texttt{[ by linear pair property ]} [/tex]
[tex]\qquad \sf \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:14x - 16 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:14x = 180 + 16[/tex]
[tex]\qquad \sf \dashrightarrow \:14x = 196[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 196 \div 14[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 14[/tex]
[tex] \texttt{Therefore, the value of x is 14} [/tex]
I Hope you understood the whole procedure ~
.......................................................
Answer:
What are we suppose to answer...
Find the measure of the missing angles.
Find the vertex and the axis of symmetry for the following functions.
a) y = 2x^3 + 4x
b ) y= -x^2+4x-5
Answer:
b
Step-by-step explanation:
its correct
Step-by-step explanation:
a)
y = 2x³ + 4x
a polynomial of 3rd degree cannot have an axis of symmetry.
it can only have a point of symmetry, like in this case.
(0, 0) is the point of symmetry, because due to the fact there is no squared term, any negative x values create exactly the same values (in absolute values) as their positive counterparts - just negative.
the vertex of a polynomial of 3rd degree is the point where the function changes directions.
that point for x³ is the origin, as it is for x. the factors only stretch the graph, but the vertex stays the same.
only if we had a term like (x+a)³ in the polynomial, this would shift the vertex.
so, the point of symmetry and the vertex are the same :
(0, 0).
b)
y = -x² + 4x - 5
the vertex form of a quadratic function is
f(x) = a(x − h)² + k
with (h, k) is the vertex.
x = h is the axis of symmetry.
we use "complete the square" to get it into that form.
-x² + 4x - 5 = -(x² - 4x + 5) = -(x - 2)² - 1
therefore,
y = -(x - 2)² - 1
h = 2, k = -1
the vertex is (2, -1)
the axis of symmetry is x = 2
there are 58 total views for the month.
Bookface averaged 24.3 views more than Snapgram. Giggle averaged 14.6 less views than Bookface.
Find how many views each site got during the month.
PLEASE ASAP THIS IS DUE TODAY! Thank you!
The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.
How to solve equationTotal views = 58let
snapgram views = xBookface views = x + 24.3Giggle views = (x + 24.3) - 14.6= x + 24.3 - 14.6
= x + 9.7
Total = snapgram + bookface + giggle
58 = x + (x + 24.3) + (x + 9.7)
58 = x + x + 24.3 + x + 9.7
58 = 3x + 33
3x = 58 - 34
3x = 24
x = 24/3
x = 8 views
Therefore,
snapgram views = x
= 8 views
Bookface views = x + 24.3
= 8 + 24.3
= 32.3 views
Giggle views = x + 9.7
= 8 + 9.7
= 17.7 views
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2 x{15 plus[24-(1.5 x2)]}
Answer:
72.
Step-by-step explanation:
2 x{15 plus[24-(1.5 x2)]}
Using PEDMAS:
= 2 x {15 + [24-(3)]}
= 2 x (15 + 21)
= 2 x 36
= 72.
Is 3/10 equivalent to 12/20 or 5/20?
Answer:
Neither?
Step-by-step explanation:
3/10 = 0.3
12/20 = 0.6
5/20 = 0.25
I would say that its up to you what you want to put.
Sorry if it doesn't help.
Helpppp
I'll give 50 pts
Answer:
Step-by-step explanation:
Answer:
i agree with the other anwser!!
Step-by-step explanation:
My friend recently proved 0=1 and i know something is wrong but i dont know what
√a × √b = √ab
only if at atleast one among a,b is positive
here both a,b is non negative so not possible
Step-by-step explanation:
Remember when expanding radicals,
[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]
When expanding radicals into two radicals, we don't let our radicand have two negative answers.
[tex]i = \sqrt{ - 1} [/tex]
[tex] {i}^{2} = - 1[/tex]
We don't do this
[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]
[tex] - 1 = \sqrt{1} [/tex]
[tex] - 1 = 1[/tex]
A certain pond has a minnow population of 20,000, and the population of minnows is increasing at a rate of 5% per year. The algae that the minnows eat is diminishing due to an excess amount of UV light, and the number of minnows it can support is shrinking by 750 each year. How is the population of minnows growing, and how is the supply of algae declining
Answer:
20000(.05)^x-750
Step-by-step explanation:
That's the equation for figuring out the population
question 6. evaluate the expression
[tex]|-24 \div 2^2|\\\\\\=\left|-24 \times \dfrac 1{2^2} \right|\\\\\\=\left|-\dfrac{24}4\right|\\ \\\\=|-6|\\\\\\=6[/tex]
The length of a field measures 3.5 miles.
what does the length of the field measure in feet?
note: 1 mile = 5,280 feet
13,200 ft
15,840 ft
18,480 ft
21,120 ft
Answer:
18480 feet
Step-by-step explanation:
5280 feet are in a mile 3.5 ×5280=18480
what are the zeros of the function below?
*EXPLANATION NEEDED*
f(x) = (x^2 - 9) (x +1)
A. -1, -3, 3
B. -1, -3, 1
C. -1, 3, 1
D. 1, -3, 3
If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The function is given below.
[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]
The function can be written as
[tex]\rm f(x) = (x^2 - 3^2) (x +1)\\\\\rm f(x) = (x - 3)(x+ 3) (x +1)[/tex]
If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.
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I NEED THE ANSWER TO THIS QUESTION ASAP
Answer:
B
Step-by-step explanation:
Add 15,181 and 137 then for part b subtract 15,181 and 4,893 and that's a way higher number than 4,893 and 137
Answer:
Step-by-step explanation:
+ 15,181 ft.
- 137 ft.
d = | 15,181 - ( - 137 ) | = 15,318 ft.
15,318 ÷ 2 = 7,659 ft. > ( 4,893 + 137 ) ft.
⇒ the answer is (B).
Need help please answer ASAP!
Answer:
(2) B
Step-by-step explanation:
According to the graph
p(2, 3) so (-b, a) is (-3, 2)
So B is right
Answer:
[tex]B = ( - b,\: a)[/tex]
Step-by-step explanation:
Since P has the coordinates (a, b), then (a,b) would be (2, 3). Therefore:
[tex]a = 2\: and \: b = 3[/tex]
We are trying to find what point has the coordinates (-b, a). Recall:
[tex]a = 2 \: \: \: \: \: \: \: \: b = 3 \\ ( - b, \: a) = \\ ( - 3, \: 2)[/tex]
The point that is at (-3, 2) is point B.
Can someone please explain this to me very detailed I don’t understand it. Please
Answer:
a140 b10
Step-by-step explanation:
a x(all the pupil)×25%=35
x=140
b. 16:y=40:25
y=16×25/40=20
is -8x a binomial or trinomial or monomial or polynomial
Answer:
monomial
Step-by-step explanation:
I need help what is (4÷5×x) what I x
Answer:
0.8x
Step-by-step explanation:
According to BODMAS,
Step 1 :
4 ÷ 5
= 4 / 5
= 0.8
Step 2 : Multiply x.
0.8 * x = 0.8x
Answer:
Step one
4 ÷ 5
= 4/5
= 0.8
Step two = 0.8 * x
= 0.8x
Find the distance between $\frac{13}{3}$ and $\sqrt{\frac{16}{9}}$ on a number line. The distance is unit.
[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]
A goat race is 325 meters long. An ant race is 75 centimeters long.
How much longer is the goat race than the ant race in meters?
Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.
Question 2
Step 2: Determine how much longer the goat race is than the ant race in meters.
The goat race is 324.25 meters longer than the ant race .
How to find the distance differences?
The goat race is 325 meters long. The ant race is 75 centimetres long.
The goat race is in meters while the ant race is in centimetres.
Let's convert the ant race to meters.
Hence,
1 cm = 0.01 m
75 = ?
cross multiply
Ant race = 0.75 meters
Therefore, let's find the difference between the goat race and the ant race.
325 - 0.75 = 324.25 meters.
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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.
So=75 cm ÷ 100 = 0.75 m
Step-by-step explanation:
Step 2: Determine how much longer the goat race is than the ant race in meters.
o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.
Remember to line up the decimal points and add zeros as plac
eholders. The difference of 325 and 0.75 is 324.25.
The goat race is 324.25 meters longer than the ant race.
help its urgent!!!!!!!
The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.
y=-2x+8
y=x-7
solved by graphing
Answer:
See the attached graph
Step-by-step explanation:
The solution is the labelled point of intersection in the graph
What is the slope of the line?
Answer:
The answer is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use rise over run, so you go up 1 then go to the right twice giving you the slope
So, I'm trying to solve this question but I can't quite jog my mind, A little help here maybe > Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees.
By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.
Can the trees be planted in 6, 8, or 9 parts?We know that each of these parts needs to have the same number of each type of trees.
So we need to see if 6, 8, or 9, are common factors between 36 and 54.
First:
6*6 = 36
9*4 = 36
So 9 and 6 are factors of 36.
And 9*6 = 54
So 9 and 6 are factors of 54.
(8 is not a factor of neither)
So 9 and 6 are common factors between 36 and 54.
Then we can divide the trees in 6 or in 9 parts, but not in 8.
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