Question:
A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.
a) Draw a labelled diagram of the situation
b) Determine the angle of elevation of the parasail rider
c) Parasailing boats traveling at the same speed will have the same angle of elevation
Answer:
a) Please find the attached drawing of the parasail boat created with MS Visio
b) The angle of elevation of the parasail rider from the boat is approximately 48.6°
Step-by-step explanation:
a) Please find the labelled diagram of the parasailing boat created with MS Visio
b) sing trigonometric ratios, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
The opposite leg = The height of the parasail rider above water = 300 ft.
The hypotenuse = the length of the tow line = 400 ft.
θ = The angle of elevation of the parasail rider
[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]
θ = Arctan(0.75) ≈ 48.6°
The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°
c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,
Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same
Giving brainliest for correct answer!
Answer:
10 7
20 14
30 21
Step-by-step explanation:
can someone help me find the slope . and tell me how you got the steps and answer. question-What is the slope of the line that passes through the points (-4, -8) and (-10, 8)?
Answer:
m = -8/3
Step-by-step explanation:
Keep in mind that slope is defined as m = rise / run, or, alternatively,
m = (change in y ) / (change in x).
If we start at (-10, 8) and move to (-4, -8),
the x coordinate is seen to increase by 6 from -10 to -4, and
the y coordinate decrease by 16 from 8 to -8.
Thus, the slope of the line segment connecting these two points is
m = -16 / 6, or m = - 8/3
if h= 19 inches, l= 27 inches, and w= 16 inches, what is the area of the figure shown above?
a. 299.5 square inches
b. 945 square inches
c. 665 square inches
d. 688.5 square inches
Answer:
That's easy! All you have to do is multiply the three numbers.
A = L * W * H
A = 25 * 14 * 19
A = 6650in²
Step-by-step explanation:If h = 19 inches, l = 25 inches, and w = 14 inches, what is the area of the figure shown above?
A.
587.5 square inches
B.
608 square inches
C.
825 square inches
D.
276.5 square inches
Solve the inequality for x. 3x + 9 < 3
Answer:
x > - 2
Step-by-step explanation:
3x + 9 < 3
3x (+ 9 - 9) < 3 - 9
3x < -6
3x/3 < -6/3
x > -2 (dividing by negative numbers, you reverse the inequality sign at the end of an equation)
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answer:
6/10 or 3/5
Step-by-step explanation:
123456762123456787654321`4567898 x 1
whats the answer
Answer:
123456762123456787654321`4567898
Answer:
123456762123456787654321`4567898
Step-by-step explanation:
Find the value of x.
10
53
HELP PLEASE!
Answer:
13.3
Step-by-step explanation:
By using sinus rule
f(x) = 2x^2
Find f(-3)
Answer:
36
Step-by-step explanation:
f(x)=2x^2
f(-3)=2(-3)^2
f(-3)= -6^2
f(-3)=36
Answer:
Step-by-step explanation:
f(x) = 2 x^2
f(-3) means that wherever there is an x on the right, put in - 3
f(-3) = 2 (-3)^2
(-3)^2 = 9
f(-3) = 2 * 9
f(-3) = 18
Kim is competing in a 40-mile bicycle race. She has completed 65% of the race. How many miles does Kim have left to cycle? A. 12 miles B. 14 miles C. 26 miles D. 28 miles
She completed 65% so she has 35% more to go. ( 100% - 65% = 35%)
Multiply the length of the race by the percentage left:
40 x 0.35 = 14
She has 14 miles left.
The answer is B. 14 miles
HELP ILL GIVE BRAINLIEST
Answer:
0.29
Step-by-step explanation:
14/25 * 4 = 56/100
|
\ /
56
56 + 15 = 71
100 - 71 = 29
29% = 0.29
It seems simple but I need help
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]( \frac{2}{5} ) {}^{2} \\ = \frac{2 {}^{2} }{5 {}^{2} } \\ = \frac{4}{25} \\ = 0.16 [/tex]
➟ The answer = 4/25 in fraction form or 0.16 in standard form.
# ꧁❣ RainbowSalt2²2² ࿐
Which expression can be substituted for y in the top equation of the
following system to solve the system by substitution? What is the solution?
3x - 5y = 1
3x - y = -7
I currently cannot download any files.
Answer:
Y=7+3x, x=-3, y=-2
Step-by-step explanation:
3x-5y=1. Equation 1
3x-y=-7. Equation 2
-y=-7-3x isolate for y in equation 2
y=7+3x multiplied by -1 to get positive y
3x-5(7+3x)=1 substitute y value of equation 2 (7+3x) into equation 1
3x-35-15x=1
-12x=36
x=-3
solve for y.
3x-5y=1
3(-3)-5y=1
-9-5y=1
-5y=10
y=-2
Find the length of the third side. If necessary, write in simplest radical form.
2V10
3
20 POINTS
Answer:
2V10 = 6.324 I have to write this
Write an inequality for the following.
Jackie spent no more than $40 on a video
Answer:
x ≥ $40
Step-by-step explanation:
Jackie didn't spend more than $40 on a video.
x ≥ $40
Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes
is less than 18 minutes. Which inequality represents this?
A. 18 > x
B. x = 18
C. X > 18
D. 18.< x
Using the list below, what is the ratio of goats to the total number of animals at the zoo? Animals at a Petting Zoo Chickens 2 Deer 4 Donkeys 3 Goats 6
Answer:
Ratio of goat to total number of animals at the zoo = 2 : 5
Step-by-step explanation:
Chickens = 2
Deer = 4
Donkeys = 3
Goats = 6
Total animals at the zoo = 15
what is the ratio of goats to the total number of animals at the zoo?
Ratio of goat to total number of animals at the zoo = 6 : 15
= 6/15
= 2/5
Ratio of goat to total number of animals at the zoo = 2 : 5
how do i do this? please help with answer and explanation
Answer:
x=7
Step-by-step explanation:
180=25x+5
175=25x
7=x
Answer:
x = 7
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
We know that,
→ Sum of all angles in a line is 180°.
Forming the equation,
→ (13x + 2) + (12x + 3) = 180°
Then the value of x will be,
→ (13x + 2) + (12x + 3) = 180°
→ 13x + 2 + 12x + 3 = 180°
→ (13x + 12x) + (2 + 3) = 180°
→ 25x + 5 = 180°
→ 25x = 180 - 5
→ 25x = 175
→ x = 175/25
→ [ x = 7 ]
Hence, the value of x is 7.
what are the X intercepts for y = 4sin2x
Plz help me giving brainliest
Answer:
B) this time im 90% sure
Step-by-step explanation:
Answer:
B - The interior angles of a quadrilateral add up to 360°
Step-by-step explanation:
A square is a Quadrilateral and when you add up
90+90+90+90
you get...
360
hi im so sorry to bother you but can someone please help me with this please
I’ll give you the brainly if it’s correct im so sorry
Answer:
Question 1: ∠3 and ∠7 are corresponding angles.
Question 2: ∠2 and ∠8 are alternate interior angles.
Question 3: ∠4 and ∠6 are alternate exterior angles.
Question 4: ∠2 is congruent to ∠6.
Question 5: ∠8 is not congruent to ∠1.
Question 6: If ∠2 measures 132°, the measure of ∠7 would be 48°.
Someone please help will mark as brainliest
Answer:
c:88
Step-by-step explanation:
The angle that measures 92 degrees and the angle with the question mark are supplementary angles which mean their sums make up 180 degrees because they are on a line. So 180 degrees - 92 degrees = 88 degrees.
FIND THE SIDES BRAINLIEST AND POINTS
Answer:
Look at the image.
Step-by-step explanation:
C = 2πr
2 · π · 5
≈ 31.42
31.42 ÷ 4 = 7.855
a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.
b. The class is an adult swimming class.
C. Half of the students are between 2 and 3 years old.
Answer:16 students and C is right
Step-by-step explanation:
Add all the dots to get the number of students. C is correct because it is ages in months,not years.
Answer:
bbbbbb
Step-by-step explanation:
b ba bbssnbsn ss
Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)
Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!
Answer:
Perimeter is 3 + 3 +3 +4 +5 = 18 feet
Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet
perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters
Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters
perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches
Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 5
who was correct and who was wrong?
A chessboard is made of small squares of equal side lengths. If the perimeter of the chessboard is 20 cm, what could be the value of (a+b)?
a. 10 cm
b. 6 cm
c. 8 cm
d. 11 cm
Evaluate by finding the value of x. 2/3x = 24
Answer:
x = 36
Step-by-step explanation:
pleas help due tonight
Answer:
105.6 ft
Step-by-step explanation:
The perimeter of a shape is just the lengths of its sides added up. Since a square has 4 equal sides, and a side is 26.4, the answer is 26.4 * 4 = 105.6 ft
At a larger pizza party, there are 18 people. Each person wants 3 slices, and each pizza has 8 slices. How many pizzas should they order?
Answer:
7 pizzas
Step-by-step explanation:
18 people × 3 slices each = 54 slices
54 ÷ 8 = 6.75
7 pizzas
Answer:
They should order 7 pizzas.
Step-by-step explanation:
18 people x 3 slices per person = 54 slices you will need for everyone
54 slices divided by 8 = 6.75 pizzas.
Round 6.75 to 7 pizzas.
They should order 7 pizzas because you cannot ask the pizza place for 6.75 pizzas.
Find the value of x. Round to the
nearest tenth.
X
12
x = [?]
Answer:
63.4
Step-by-step explanation:
Tan = opposite/adjacent
Tan x = tan-1
Tan-1 (6/12)
=63.43494882
63.4