Answer: 78 kilograms
Step-by-step explanation:
Answer:
78 kg
Step-by-step explanation:
Khan academy
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 :)
What is the greatest common factor of 45 and 60?
Answer:
60 is correct answer by method of hcf
Answer:
The greatest common factor of 45 and 60 is 15
Step-by-step explanation:
Explain, in your own words, how to solve two-step equations.
WILL GIVE 15 POINTS
how many numbers lie between squares of 12 and 13
Answer:
therefore 25 numbers lie inbetween.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The smallest number by which 28 should be
multiplied so as to get a perfect square is
O2
O 4
03
07
Answer:
7
Step-by-step explanation:
28x7=196
196=14^2 aka a perfect square
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.
Work out the direction of the resultant force on the object. Define the horizontal axis as
the origin of angle and turn clockwise as positive. Give the answer in degrees to 2 sig.
20 points! will mark brainliest
fig.
Answer:
53°
Step-by-step explanation:
If you translate the 4 N force to the right so its tail is at the tip of the 3 N force, you see these are the legs of a 3-4-5 right triangle. The 4 N force is opposite the angle of interest, and the 3 N force is adjacent. Then the angle of interest, α, has the relation ...
Tan = Opposite/Adjacent
tan(α) = 4/3
α = arctan(4/3) ≈ 53°
The direction of the resultant is 53° clockwise from the horizontal axis.
Susan uses the following equation to determine how much a taxi ride is going to cost her, where m is the number of miles traveled during the trip.
$7.00 + $2.20m = $26.80
A. 7
B. 11
C. 8
D. 9
Please help ASAP!
Answer:
D
Step-by-step explanation:
$7.00 + $2.20*9 = $26.80
solve the equaton 3x+5y=15 for y
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery Curtis drive 6 miles
How much does Curtis charge to deliver food ??
3x + 2(4x - 4) = 3
HELPPPPPPPP!!!!!!!
Answer:
x=1
Step-by-step explanation:
Use the distributive property on 2(4x - 4), which makes the equation 3x+8x-8=3
Simplify, which makes the equation 11x-8=3
Add 8 to both sides, which makes the equation 11x=11
Divide both sides by 11, which makes the equation x=1
Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.
Given:
Point O is on line segment NP.
OP=10, NP=2x, and NO=x+7.
To find:
The numerical length of NO.
Solution:
If point O is on line segment NP, then by segment addition property, we get
[tex]NP=NO+OP[/tex]
[tex]2x=(x+7)+10[/tex]
[tex]2x=x+17[/tex]
Subtract both sides by x.
[tex]2x-x=17[/tex]
[tex]x=17[/tex]
The value of x is 17.
Now,
[tex]NO=x+7[/tex]
[tex]NO=17+7[/tex]
[tex]NO=24[/tex]
Therefore, the numerical length of NO is 24units.
Solve |x + 3| = 7.
A. x= -4
B. x= 10
C. x= 4
D. x= -10
Answer:
C. x= 4
Step-by-step explanation:
|x + 3| = 7
x + 3 = 7
x = 7 - 3
x = 4
Answer:
x = 4
Step-by-step explanation:
|x + 3| = 7
=> x + 3 = 7
=> x = 7 - 3
=> x = 4
Which relation represents a function?
Answer:
{ (-2,2) , (0,2) , (7,2) , (11,2) }
Step-by-step explanation:
Your x variable cannot repeat.
James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply.
Answer: $28,000
+$1,000
$29,000
Answer 2 question plz ASAP
Answer:
True on both.
Step-by-step explanation:
The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink).
Taylor makes $8 an hour at the pizza place and she is scheduled to work six hours this afternoon. However, Brandon called and wanted to know if she could go out to the movies. Assuming the movies will cost Taylor $10, what is her opportunity cost of going out to the movies?
Answer:
58
Step-by-step explanation:
im pretty sure its saying like what she is losing by not going to work and how much she is paying for the movie so 8x6 then add the 10
find the perimeter. simplify your answer completely
Use the diagram to help you solve the problem.
A pair of shoes has an original price of $65 but is on
sale for a 20 percent discount. What number can you
multiply by $65 to get the discounted price of $52?
O 0.20
O 0.50
O 0.80
O 0.90
Answer:
C
Step-by-step explanation:
Just took it
your correct answer is C
(0.80)
Justin and Tyson are beginning an exercise program to train for football season and want to build muscle. Justin weighs 150 pounds and hopes to gain 2 pound per week. Tyson weighs 160 pounds and hopes to gain 1 pound per week. After how many weeks will they weigh the same amount?
Answer:
At 15 weeks they will both weigh 180
Step-by-step explanation:
150 + 2w = 195 - w
2w + w = 195 - 150
3w = 45
w = 45/3
w = 15 <=== they will weigh the same at 15 weeks
150 + 2(15) = 150 + 30 = 180...and they will both weigh 180 lbs
I hope this helps you :)
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).
I been trying to figure the question out for the past 20 minutes and I can’t find the answer please help. (Question in picture)
Answer:
125°°
Step-by-step explanation:
∠DFC is a vertical angle with ∠BFE. As such, it is the sum of the right angle and the one marked 35°.
∠DFC = 90° +35°
∠DFC = 125°
_____
Alternate solution
∠CFA = 90° = ∠CFB +∠BFA
∠CFB = 90° -35° = 55°
∠BFC and ∠CFD are a linear pair, so total 180°
∠CFD = 180 -55° = 125° = ∠DFC
Which expressions are perfect square trinomials? Select the three correct answers.
Answer:
w²-24w+144
y²+6y+9
x²+20x+100
Step-by-step explanation:
w²-24x+144 = (w-12)²y²+6y+9 = (y+3)²x²+20x+100 = (x+10)²Show Your Work. Find The Length of SU ~(Will Give Brainliest) :)
Answer: 14
Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14
Answer:
14
Step-by-step explanation:
QR = 5 RS = 5 and ST = 5
If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.
While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla needs to work ________ hours to earn $52.25.
Answer:
12/312
Step-by-step explanation:
I did this quiz.
8a to the power of 6 times a to the power of 4 over 4a to the power of -3
Answer:
(8a)⁻¹⁸
1 / (8a)¹⁸
Step-by-step explanation:
(((8a)^6a)^4/4a))^-3
((8a)^6a*4/4a)^-3
((8a)^6)^-3
(8a)^6*(-3)
(8a)⁻¹⁸
1 / (8a)¹⁸
prove using multiple formula
cos 70 - cos 10 + cos 50 = 0
-3x+2<8 answer this equation
Answer:
x>-2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8 -2
-3x < 6
Divide each side by -3. remembering to flip the inequality
-3x/-3 >6/-3
x>-2
Melina graphed a line which passes through the points (-4, 2) and (6, 8). What is the slope of the line?
Answer:
The answer is
[tex] \frac{3}{5} \\ [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, 2) and (6, 8)
The slope is
[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]
We have the final answer as
[tex] \frac{3}{5} \\ [/tex]
Hope this helps you
is 42 already already in simplest form.do you agree or disagree?explain
Answer:
Yes the number 42 is at its simplest form.
Step-by-step explanation:
Any whole number is already at its simplest form.