first question is false I think and the second one is true I think
Step-by-step explanation:
I'm not that good at math but I'm just trying to help
A helicopter flies between two islands that are 20 miles apart. The angle of elevation with one island is 15o and 35o with the second island. What is the mileage of the helicopter? Round your answer to the nearest tenth of a mile. (Law of Sines or Law of Cosines Problem)
Answer:
Step-by-step explanation:
From the figure attached,
A helicopter is flying at a height 'h' and angle of elevations from two islands C and B are 35° and 15° respectively.
Let the measure of BD = x miles
From ΔABD,
tan(15) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{h}{x}[/tex]
h = x.tan(15) ---------(1)
From ΔACD,
tan(35) = [tex]\frac{h}{12-x}[/tex]
h = (12 - x).tan(35) ------(2)
By equating the values of h from equations (1) and (2),
x.tan(15) = (12 - x).tan(35)
[tex]\frac{x}{12-x}=\frac{\text{tan}35}{\text{tan}15}[/tex]
[tex]\frac{x}{12-x}=2.613[/tex]
x = 2.613(12 - x)
x + 2.613x = 31.386
3.613x = 31.386
x = 9.914 ≈ 9.9 miles
From equation (1),
h = x.tan(15)
= 9.9[tan(15)]
= 2.65 ≈ 2.7 miles
Therefore, helicopter is flying at the vertical height = 2.7 miles and horizontal distance of the helicopter from the island B = 9.9 miles.
Answer:
2.7
Step-by-step explanation:
I took the quiz and got it right :)
Please write only vertical compression or stretch
Answer:
No te puedo ayudar vbbnn
0.77 in scientific notation
Answer:
7.7 x 10 ^-0.1
Step-by-step explanation:
you move the decimal till it is behind the the first number. making it a whole number.
hope this helps
4x+ 2( 3 – 3x) = 6 answer
Answer:
0
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6
4x+6-6x=6
6-2x=6
6-6=2x
0/2=x
x=0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]4x+2\left(3-3x\right)=6[/tex]
Expand:
[tex]4x+2\times3-2\times3x=6[/tex]
[tex]4x+6-6x=6[/tex]
[tex]-2x+6=6[/tex]
Subtract 6 from both sides:
[tex]-2x+6-6=6-6[/tex]
[tex]-2x=0[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]
[tex]x=0[/tex]
plz solve this problem of trigonometry
i am an aakashian
Step-by-step explanation:
[tex]\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\ [/tex]
[tex]: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\[/tex]
[tex]: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\[/tex]
[tex]: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\ [/tex]
[tex]\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\ [/tex]
grade 7. solving integers
can someone explain how we solve integers? it's very confusing and i'll give some examples.
4 - -10 = ?
-5 + -3 = ?
I've been told that when we it's addition (+), we minus and if it's subtraction (-), we add? this is very confusing so pls explain
Answer:
yes
Step-by-step explanation:
you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.
Hope this helps =)
A. g(x)= -5/2[x]
B. g(x)= -2/5[x]
C. g(x)=2/5[x]
D. g(x)=5/2[x]
Plz help
Answer:
B. g(x) = -2/5[x]
...............
1. Jane solved the midpoint, M, of a segment with endpoints (-4,-1) and(2,5) as shown below. Is her findings correct?
Step-by-step explanation:
I guess I was help full for u
Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined
Answer:
D) The slope of the line is undefined
Step-by-step explanation:
A vertical line will have an undefined slope, because it does not run horizontally.
To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.
And, dividing anything by 0 will get you an undefined answer.
So, D is correct. the slope of the line is undefined
Answer:
the slope of the line is undefined
Step-by-step explanation:
i just took test
Tevin bought a box of 25 washers for $3.25. How much did Tevin pay per washer?
0.13 cents
So basically u need to do 3.25÷25.
I thought I had the right answer but apparently I don't. Help would be greatly appreciated. Thank you!
Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
Learn more about Line:
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how do i check my answer for y-16-3y=0
Answer:
what ever y equals plug it back into the problem and if get 0=0 then u got
Step-by-step explanation:
it
−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
Add 9 to both sides of the equation.
p=12r+9
Step-by-step explanation:
The answer is 21.
Have a good day!
38. Persevere in Problem Solving The difference between the solutions to
the equation x = a is 30. What is a? Show that your answer is correct.
Answer:
either a or x, the value is still 30
Step-by-step explanation:
given:
x = a is 30
find:
a = ?
since x = a = 30
a = 30 = x
therefore,
either a or x, the value is still 30
In Argentina, a cow on a ranch is expected to need an average of 4200 m2
of grassland for food.
What size does a ranch need to be to feed 4500 cows?
Give your answer in hectares.
The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.
And we are asked to find the total area of their grazing but in hectares. So, we can write:
[tex]1 \: cow = 4200 \: {m}^{2} [/tex]
Then, for 4500 cows:
[tex]4500 \: cows = 4200 \: {m}^{2} \times 4500[/tex]
[tex]4500 \: cows = 18900000 \: m {}^{2} [/tex]
We know that, 1 hectares = 10000 m² = 10⁴ m²
Then let the area of the field be x in hectares:
[tex]1 \: hectare = 10000 \: {m}^{2} [/tex]
[tex]x \: hectare = 18900000 \: {m}^{2} [/tex]
Then, putting them in proportion, We will get:
[tex]x = \dfrac{18900000}{10000} hectares[/tex]
[tex]x = \boxed{ 1890 \: hectares}[/tex]
So, the total area in hectares = 1890 hectares.
And we are done !!
#CarryOnLearning
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-6(-2x² + 6-3w²)
they said to remove the parenthesis using distributive property helpp me
Answer:
=18w2+12x2−36
Step-by-step explanation:
I hope this helps you
Answer:
18w^2+12x^2−36
Step-by-step explanation:
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
For exercise 1-3 find the coordinates of the midpoint of the segment with each pair of end points (12,-7) and (-6,15)
Answer:
The answer is
( 3 , 2)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(12,-7) and (-6,15)
The midpoint is
[tex]M = ( \frac{12 - 6}{2} , \: \frac{ - 7 + 15}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
( 3 , 2)Hope this helps you
if f(x) = 2x+4 find the values of x so that f(x)=24
24 = 2x + 4
2x = 20
x = 10
.......................
resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
what is 8x+9x simplified completely
Answer:
17x
Step-by-step explanation:
approximate each irrational number to the nearest hundreth √32
Answer:
5.66
Step-by-step explanation:
sqrt(32) = sqrt(16 * 2) = 4 * sqrt(2) = 5.66
multiply 1 5.8 and 5.62
Answer:
88.796
Step-by-step explanation:
you multiply them...
Help help help help please-
Answer:
x = 17
Explanation:
Notice that all three of the angles combined create a straight angle. This means that the sum of all three angles is equal to 180 degrees.
Create your equation (7x - 2) + (2x + 4) + (25) = 180
Combine like terms 9x + 27 = 180
Subtract the constant from each side 9x = 153
Divide each side by the coefficient x = 17
You can check your work or find each individual angle by substituting 17 in for x.
Determine the type of construction from the following steps
Similar
Perpendicular
Parallel
Congruent
Answer: perpendicular
Step-by-step explanation:
Hope this helps! If I’m right please give me Brainly-eat!! :)
Where x=-7 what does y=?
Answer:The "+7" indicates that there will be a y-intercept at 7. Therefore, you can plot a point at (0,7).
Explain why Figure B is not the image of Figure A after a rotation using center P
Answer:
because the are not the same measurement nor the right placement
Step-by-step explanation:
The sides of figure B appear narrower than the sides of figure A.
We need to explain why Figure B is not the image of Figure A after a rotation using centre P.
What is a rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
Now,
The reason why figure B is not the image of figure A after a rotation using centre P includes
1) The angle of rotation is measured as 180 - 45 = 135°, while the angle of rotation of the base is (90 - 26) + (90 - 71) = 83°
2) Rotation of a figure is a rigid transformation, such that the dimensions of the sides of the pre-image and the sides of the image should be equal after the rotation, however, the sides of figure B appear narrower than the sides of figure A.
Therefore, the sides of figure B appear narrower than the sides of figure A.
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Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
O
A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
o
C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
Answer:
The statement that describes a situation that can be modeled as a growth or decay over equal interval is;
C. A species of fly doubles its population every month during the summer
Step-by-step explanation:
We have for exponential growth or decay, the following equation;
Exponential growth or decay;
[tex]y = a \cdot b^t[/tex]
Where;
a = The initial amount of the item
1 + r = The rate of growth in percentage
b = The growth or decay factor
t = The time
For exponential decay, we have;
0 < b < 1
b = 1 - r
[tex]y = a \cdot(1 - r)^t[/tex]
For exponential growth, we have;
b > 1
b = 1 + r
[tex]y = a \cdot(1 + r)^t[/tex]
Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;
[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]
Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.
Colleen is 15 years from retiring. She opens an account at chas. She plans to deposit 10,000 each year
Answer:
150,000
Step-by-step explanation:
15x10000=150,000
Answer:
$150,000 - Make sure to read my explanation
Step-by-step explanation:
You didn't include the question, but I'm just gonna guess that you what to know how much money she will have deposited by the time she retires. This is just a simple multiplication problem if so.
15 * 10,000 = $150,000
In conclusion she will have saved 150,000 by the time she retires. Sorry If I guessed the question wrong.