As Jackson stands near a helicopter landing pad (on the ground), he sees a helicopter approaching. The altitude (height above the ground) of the helicopter is 148 meters. From the helicopter to where Jackson is standing there is an angle of depression of LaTeX: 42^\circ42 ∘.
The direct distance between the helicopter and Jackson is _______ meters.
Round your answer to the nearest meter. Type in only the numerical part of the answer (no units).
Answers
Answer:
D=221 m
Step-by-step explanation:
In order to solve this problem, we can start by drawing a diagram of the given situation. (see attached picture)
As you may see, we have a right triangle there, so we can use trigonometric functions to solve this. Specifically, the sine function.
[tex]sin \theta = \frac{OS}{Hyp}[/tex]
in this case we need to find the hypotenuse, so we solve the equation above for the Hyp, so we get:
[tex]Hyp= \frac{OS}{sin \theta}[/tex]
in this case, the opposite side (OS) is the heght of the helicopter, the angle is the 42° and the Hyp is the direct distance between the helicopter and Jackson, so we substitute the given data to get:
[tex]Distance=\frac{148m}{sin 42^{o}}[/tex]
Which yields:
D=221m
Related Questions
Round 85.984 to the nearest tenth.
Answers
Answer:
Your answer would be 86
Step-by-step explanation:
Hope it helps! Tell me if I am wrong so I can improve.
85.984=85.990.
Whenever it says to change it, change the number on the right of them since if you change the tenths place, it‘ll just turn it into the hundredth one.
Compare 0.789 to 0.774.
Use
Answers
Answer:
0.789 [tex]\geq[/tex] 0.774
Step-by-step explanation:
0.789 is greater than 0.774
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answers
Answer:
Vg
Step-by-step explanation:
All the others are decimals
pls give thanks, 5 star, brainliest
In the equation 4u - 6 = 24, what is the next step in the equation solving sequence?
Identify and move the coefficient and variable.
Move all numbers without a variable.
Isolate the variable using inverse operations.
Combine like terms.
Answers
Answer:
Move all numbers without a variable
Step-by-step explanation:
you want to get the variable by itself so you'll add 6 to both sides of the = sign making it 4u = 30 then you'll divide both sides by 4 making u = 7.5
if anyone can help me go on!!
the base is ?
the value of the expression is ?
Answers
Answer:
The base is 5
The exponent is 4
[tex]5\cdot 5\cdot 5\cdot 5=5^4[/tex]
And the value is 625
Step-by-step explanation:
Exponentials
If a number is multiplied by itself n times like shown below:
[tex]x\cdot x\cdot x\cdot ...x[/tex]
It can be written in exponential form:
[tex]x\cdot x\cdot x\cdot ...x=x^n[/tex]
Where x is the base and n is the exponent.
In the expression:
[tex]5\cdot 5\cdot 5\cdot 5[/tex]
The base is 5
The exponent is 4
Writing the expression using an exponent:
[tex]\mathbf{5\cdot 5\cdot 5\cdot 5=5^4}[/tex]
And the value is 625
A computer software vendor wants to estimate the number of times a computer will crash with its new operating system over the course of a year. A system administrator installs the operating system on a random sample of 34 computers. At the end of a year, the sample mean number of crashes is 5.6, with a standard deviation of 2.2. Find the confidence interval at a 90% confidence level for the mean number of crashes a computer will have with the new operating system over the course of a year.
Answers
Answer:
(4.9793, 6.2207)
Step-by-step explanation:
Given the data:
Sample size, n = 34
Sample mean, m = 5.6
Standard deviation, s = 2.2
Confidence interval = 90%
Using the relation :
m ± Zcritical * s/√n
Zcritical at 90% confidence interval = 1.645
Confidence interval ;
5.6 ± (1.645 * 2.2/√34)
5.6 ± 0.6206533
Lower boundary = 5.6 - 0.6206533 = 4.9793
Upper boundary = 5.6 + 0.6206533 = 6.2207
Natalie went to the store to buy some cherries. The price per pound of the cherries is $6.25 per pound and she has a coupon for $2.75 off the final amount. With the coupon, how much would Natalie have to pay to buy 5 pounds of cherries? Also, write an expression for the cost to buy pp pounds of cherries, assuming at least one pound is purchased.
Answers
Answer: 6.25(5) - 2.75 = X
Step-by-step explanation:
Each pond costs 6.25 and she buys 5 pounds so multiply 5.25 and 5. Then subtract 2.75 which is the coupon to get your answer.
The expression is 6.25x - 2.75 = P
P being the total cost
3. The Lions scored 11 runs in a baseball game. The Tigers scored 7 runs. Did the Tigers score 3 fewer runs than the Lions? Explain.
Answers
Answer:
no
Step-by-step explanation:
if you subtract 11-7 you get 4 not 3
What is 3x – 7y = 9 in slope-intercept form?
Answers
Hey there!
The answer to your question is y = -3/7x - 9/7
To answer this, we need to get y by itself on one side, so we need to solve for y:
3x - 7y = 9
-7y = 3x + 9
y = -3/7x - 9/7
Hope it helps and have an amazing day!
an angled measures 140 less than the measure of its supplementary angle. what is the measure of each angles
Answers
Answer:
the 70
Step-by-step explanation:
basically yoy half it as an angle is either 180 for triangle 360 for a circle and 180 also for a half line\
A class has 45 students. The probability of choosing at random a student
whose age is 10 or less is 2/3. How many students in the class
are 11 or older?
Answers
Instructions: Find the measure of the missing angles in the kite.
Please help!
:)
Answers
Answer
1)90°. 2)51°. 3)39°.
Step-by-step explanation:
1) it is straight so it is 90°
2)51° because the kite is symmetrical so it should be the same as the other side
3)90+51=141
180-141=39° so it is 39°
Hope this helps :) good luck
Help me pls I really need to pass
Answers
Calculate the speed of a wave with the frequency of 100 hz and wavelength of 250 m, please.
I've been struggling with this one...
Answers
Answer:
25000m/s
Step-by-step explanation:
The following formula is used to calculate the speed or velocity of a wave.
V = f * w
Where V is the velocity (m/s)
f is the frequency (hz)
w is the wavelength (m)
First, determine the frequency.
Calculate the frequency of the wave.
Next, determine the wavelength.
Calculate the wavelength of the wave.
Finally, calculate the wave speed.
Using the formula above, calculate the wave speed.
surface area of a cuboid 1cm by 10cm by 3cm
Answers
Answer:
2lw + 2lh+2hw
Step-by-step explanation:
Answer:
If Im right you had to multiple 1 by 10 and 3
Step-by-step explanation:
Your answer will be 30 but dont forget to add the centimeter at the end
30cm
Hope this helps (:
Can you divide an odd number into two equal groups
Answers
Answer:
No you can not it would come out as a decimal form.
Step-by-step explanation:
3 divided by 2 is 1.5 or 1 1/2
This is not divided evenly between each other
This proves that (no) anything that is a odd number can not be divided equally
Hope that helps
I GIVEEEEE BRAINLILSTE
Answers
Answer:
Answer: 39
Step-by-step explanation:
Volume of a Pyramid
Given a pyramid of triangular base area Ab and height H.
The volume of the pyramid is calculated by the formula:
[tex]\displaystyle V=\frac{1}{3}A_b\cdot H[/tex]
The perfume bottle is in the shape of a triangular pyramid with a height of H=9 inches. The area of the base is Ab=13 (square) inches.
Calculating the volume by substituting the given values:
[tex]\displaystyle V=\frac{1}{3}13\cdot 9[/tex]
[tex]\displaystyle V=39 \ in^3[/tex]
Answer: 39
What is the value of 7643 +6437 +4376 +3764?
Answers
once again pls pls help thx so much to the ppl who take there time and help me with this ill mark you brainliest, send a thank you, and mark star5 :)
Answers
Answer:
1/3 for a.
2/3 for b.
[character limit pass]
Assume the 72-gon is a regular polygon. The measure of one interior angle is how many
degrees, and the measure of one exterior angle is how many degrees?
Answers
9514 1404 393
Answer:
interior: 175°exterior: 5°Step-by-step explanation:
The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.
exterior angle = 360°/72 = 5°
The interior angle is the supplement of this.
interior angle = 180° -5° = 175°
The measure of one interior angle is 175°; one exterior angle is 5°.
How many 1/8 are in 13/16?
Answers
9514 1404 393
Answer:
13/2 or 6 1/2
Step-by-step explanation:
We can write the question in the form of an equation:
13/16 = n×1/8
Multiplying by 8 gives ...
8×13/16 = n
13/2 = n = 6.5
The number of 1/8 in 13/16 is 6 1/2 or 13/2.
13 out of 25 people agreed to help at a charity event. What percentage is
this?
21 out of 40 children arrived on time. What percentage were late? *
Find the percentage
A French test is out of 48 marks.
Simone scores 30 marks.
What is Simone's score as a percentage?
Answers
Answer:
Hi! The correct answer is 3.25, 7.6 and 0.3!
Step-by-step explanation:
10 points :)
Square OABC is drawn on a centimetre grid.
O is (0,0) Ais (3,0) Bis (3, 3) C is (0, 3)
Write down how many invariant points there are on the perimeter of the square when
OABC is reflected in y = x
Answers
Answer:
No invariant point
Step-by-step explanation:
Yo!
When we translate a form, in this case a polygon We must observe the direction of the vector. Since our vector is:
1) Let's apply that translation to this polygon, a square. Check it below:
2) The invariant points are the points that didn't change after the transformation, simply put the points that haven't changed.
Examining the graph, we can see that no, there is not an invariant point, after the translation. There is no common point that belongs to OABC and O'A'B'C' simultaneously. All points moved.
I hope you understood !
Two cuboid-shaped metal bars are the same size. They are 12.4 cm long, 5.6 cm wide and 2.5 cm thick.
One bar is iron with a density of 7.9 grams/cm3 and the other is copper with a density of 9.0 grams/cm3.
a Calculate the difference in their masses to the nearest gram.
Answers
Answer:
191 grams
Step-by-step explanation:
12.4×5.6×2.5=173.6
7.9×173.6=1371.44
9.0×173.6=1562.4
1562.4-1371.44=191
The difference of a number and 12 is 34. Find the number
Answers
Answer:
46
Step-by-step explanation:
Set up the equation:
x-12=34
Undo subtraction by addition
x-12+12=34+12
-12+12 cancels and 34 plus 12 is 46
x=46
You
Graph 3x + 4y = 12.
Answers
Answer:
The graph is the equation 3x + 4y = 12 is attached below.
Step-by-step explanation:
Given the equation
3x + 4y = 12
First,
We need to determine the y-intercept:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation 3x + 4y = 12
3x + 4y = 12
3(0) + 4y = 12
0 + 4y = 12
4y = 12
divide both sides by 4
4y/4 = 12/4
y = 3
Thus, the y-intercept is: (0, 3)
Now, check the attached graph below.
Determining the y-intercept of the equation from the graph
From the graph, it is clear
at x = 0, y = 3
Thus, the y-intercept is (0, 3)
Determining the x-intercept of the equation from the graph
From the graph, it is clear
at y = 0,
3x + 4(0) = 12
3x = 12
x = 4
Thus, the x-intercept is (4, 0)
The graph is the equation 3x + 4y = 12 is attached below.
Solve the following inequality: 10t + 7 , 200 > 21 , 000
Answers
Answer:
t > 1380
Step-by-step explanation:
Subtract 7200 from both sides
10t + 7200 - 7200 > 21000 - 7200
Simplify
10t > 13800
Divide both sides by 10
10t/10 > 13800/10
Simplify
t > 1380
Jose wants to prove that the base angles of an isosceles triangle are congruent. Help!
Answers
Answer:
Last option
Step-by-step explanation:
That is your best choice because that is the option that tells you the angles are congruent and not the sides. I could be wrong tho.
The hypothesis to proof that the base angles of the isosceles triangle are congruent will be AC≅AB
An isosceles triangle is a triangle that has at least 2 congruent sides. The congruent sides are the legs of the triangle while the remaining side is called the base. The angles on the base is called the base angles.
The base angles of an isosceles triangle are congruent. The base angles are
∠BCA and ∠CBA and they are congruent. The sides AC and AB are congruent. AC≅AB.
Therefore, the hypothesis to proof that the base angles of the isosceles triangle are congruent will be as follows:
AC≅ABread more: https://brainly.com/question/11802289?referrer=searchResults
What are the solutions to the absolute value inequality |x − 70| ≤ 3?
Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3
or as x − 70 ≤ 3 and x − 70 ≥ −3.
Answers
Answer:
67 ≤ x ≤ 73
Step-by-step explanation:
The absolute value of a real number x is the non negative value of x. Therefore the absolute value of x (|x|) = x for x ≥ 0 and -x for x < 0.
An expression |x - a| = b signifies that x - a = b or -(x - a) = b
Given that |x − 70| ≤ 3, hence:
|x − 70| ≤ 3
x - 70 ≤ 3 or -(x - 70) ≤ 3
x ≤ 3 + 70 or x - 70 ≥ -3
x ≤ 73 or x ≥ -3 + 70
x ≤ 73 or x ≥ 67
67 ≤ x ≤ 73
Hence the solution of |x − 70| ≤ 3 is 67 ≤ x ≤ 73
Expression equivalent to 5(4x+5)
Answers
Answer:
20x+25
Step-by-step explanation:
We can use the distributive property to distribute the 5 out. This is equivalent of 5*4x + 5*5 which would give us 20x+25.
Answer:
(4x+5)=9x)
Step-by-step explanation:
++++++++(+±±±+++++++
