Answers
Answer:
x = 9.7
Step-by-step explanation:
Reference angle (θ) = 68°
Opposite = 24
Adjacent = x
Apply, the trigonometric function, TOA which is:
[tex] tan (/theta) = \frac{Opp}{Adj} [/tex]
Plug in the values
[tex] tan 68 = \frac{24}{x} [/tex]
Multiply both sides by x
[tex] x*tan 68 = 24 [/tex]
Divide both sides by tan 68
[tex] x = \frac{24}{tan 68} [/tex]
x = 9.69662942
x = 9.7 (nearest tenth)
Related Questions
Ferris wheel has a 108-foot diameter and the center of the Ferris wheel is 58 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 6 radians per minute. Chance boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started.
Required:
a. Write an expression (in terms of t) to represent the number of radians Justin has swept out from the 3-0'clock position since the ride started.
b. How long does it take for Justin to complete one full revolution (rotation)?
c. c. Write an expression (in terms of t) to represent Justin's height above the center of the Ferris wheel (in feet)
Answers
Answer:
a. θ = 6t
b. 1.048 minutes
c. y = 54sin(6t)
Step-by-step explanation:
diameter d = 108 foot
distance above the ground = 58 feet
a.) expression to represent number of radians
radian = 6 rad/min
θ = wt
w = 6
θ = 6t
t is in minutes
b.) we are to find the time period for one full revolution
time period = 2π/6
π = 22/7
[tex]T=\frac{2(22/7)}{6}[/tex]
= 1.048 minutes
c. Expression showing Justins height above the ground
y = rsinθ -----(1)
θ = wt = 6t
we find the radius r
diameter = 2 * radius
108 = 2r
r = 108/2
= 54 foot
we put these values in the equation 1 above
y = 54sin(6t)
If John starts with $85 and is spending $5 per week and Ashley has $35 and is saving $7 per week when will Ashley have more than John
Answers
Answer:
85-5=80 week 1
75= week 2
70=week 3
65=week 4
60=week 5
and so on.
Then Ashley
35+7=42 week 1
49=week 2
56=week 3
63= week 4
70=week 5
Step-by-step explanation:
solve these plz
10 points for these plz solve
Answers
3.360
4.12
That’s it hopefully you got them right
monica is standing in a building looking out a window at a tree the tree is 121 feet away from monica monica line of sight to the top of the tree creates a 42 degree angle of depression. what is the height of the tree rounded to the nearest tenth
Answers
Answer:
89.9 feets
Step-by-step explanation:
The diagrammatic representation of the problem is attached below.
The height, h of the tree can be calculated using the trigonometric relation :
Cosθ = adjacent / hypotenus
Cos 42 = h / 121
0.7431448 = h / 121
Height, h of tree = 121 * 0.7431448
Height = 89.9 feets
A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help
Answers
Answer:
51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
: At a Pokemon award ceremony there are three types of medals to be awarded: Leader, Champion, and Ranger. There are 48 awardees present in total, including 19 Leader medal winners, 27 Champion medal winners, and 25 Ranger medal winners. For any two types of medals, the number of people who won these two medals is the same. There are 4 people who won all three medals. How many people won exactly two medals
Answers
Answer:
The correct answer is "[tex]a+b+c=15[/tex]".
Step-by-step explanation:
The figure according to the given question is attached below.
Given that,
Number of people,
p = 4
Let the suitable notations are:
a, b, c, x, y, z and p
where,
Only leader M = x
Only champion M = y
Only range M = z
Exactly two medals = a+b+c
All three medals = p
The equations will be:
[tex]x+a+b+p=19[/tex]...(1)
[tex]y+a+c+p=27[/tex]...(2)
[tex]z+b+c+p=25[/tex]...(3)
[tex]x+y+z+a+b+c+p=48[/tex]...(4)
Now,
From equation (1), (2) and (3), we get
[tex]x+y+z+2(a+b+c)+3p=71[/tex]
[tex]x+y+z+2(a+b+c)=71-12[/tex]
[tex]x+y+z+2(a+b+c)=59[/tex]...(5)
By applying subtraction between equation (5) and (4), we get
[tex]a+b+c-p=59-48[/tex]
[tex]a+b+c=4+11[/tex]
[tex]a+b+c=15[/tex]
The Caudell family went out to dinner. If
their dinner bill came to $52.50 and they
paid $61.95, what percent of a tip did they
leave their waiter?
A. 18%
B. 15%
C. 20%
D. 16.5%
Answers
If 1=3
2=3
3=5
4=4
5=4, then 6=?
Answers
Answer:
six equal to eight?????
Determine the smallest integer value of x in the solution of the following inequality.
-3x+10≤5
Answers
Answer: The smallest integer value of x in the solution is 1.
Step-by-step explanation:
The given inequality: [tex]-3x+10\leq5[/tex]
To solve the inequality, we first subtract 10 from both sides
[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]
Multiply negative sign on both sides ,we get
[tex]3x\geq5[/tex]
Divide both sides by 3, we get
[tex]x\geq\frac{5}{3}[/tex]
i.e. [tex]x\geq 1.6666666667\\[/tex]
[tex]x\geq1[/tex]
Hence, the smallest integer value of x in the solution is 1.
Find the length of side c.
c=_in
Answers
Answer:
c=9.534
Step-by-step explanation:
Why do you think these agencies failed to protect the people that had their money
stolen by Bernie Madoff?|
Answers
1: 16cm3 = ___________mm3
2: 85000dm3 = _____m3
3:4 L= _____cL
4: 5000 mL= _____ L
5: 25000mm3 = ______cm3
Sorry about the cm3 the number 3 should be up on cm but my phone doesn't have that future.
THANKS FOR THE ANSWER!
its MEASUREMENT!
Answers
1dm is 0.1m so 85000dm is 8500m
1l is 100 cl so 4l is 400cl
1000ml in 1l so 5000ml is 5l
25000mm is 2500cm
Which triangle isn't similar to QRS?
Answers
Answer:
∆ RPQ
Step-by-step explanation:
__________________
Patient A receives 3 times the amount of certain medicine as Patient B. The two doses add to 200 milligrams. What amount of the medicine does each patient receive?
Answers
Patient B - 50 mg
I hope this helps :)
A napkin is 18 inches long. A tablecloth is 6 times as long as the napkin.
How much longer, in inches, is the tablecloth than the napkin?
If d is the difference in the length of the tablecloth and the napkin,
which pairs of equations can be used to solve the problem? Select all that apply.
A. 6 × 18 = 108 and d – 18 = 108
B. 6 × 18 = 108 and 108 – 18 = d
C. 6 × 18 = 108 and d + 18 = 108
D. 6 × 18 = 108 and d + 108 = 18
E. 6 × 18 = 108 and 18 × 108 = d
Answers
Answer:
The answer is B. 6×18= 108 and 108-18= d
(D = 90) the difference between the length of the tablecloth and napkin.
Make a box-and-whisker plot for the data:
36, 39, 39, 41, 43, 49, 61, 64
a. smallest value 36
b. Quartile 1: 39
c. Median: 42
d. Quartile 2: 55
e. greatest value: 64
Answers
The five number summary you wrote out is correct.
The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).
The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.
The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16
Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.
The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.
I used GeoGebra to create the box-and-whisker plot.
Answer:
The data and 5-number summary is given.
Based on the 5 numbers we have the attached box-and-whisker plot.
It would be nice if somebody could help me! (I'm trying to give out points!)
Answers
Answer:
chupapi muyanyo
Step-by-step explanation:
Answer:
3) A) 8 tomatoes are in Priya's garden
B) 18 since they are missing 2 tomatoes
4) I cant really answer with the information given.
Step-by-step explanation:
I need more information for number 4
I need this answer quick and try get it correct
Calculate 38% of 40
Answers
Answer:
15.2
Step-by-step explanation:
Answer:
the answer is 15.2
Step-by-step explanation:
you j multiple them
|3t – 9| = 3 Step by step
Answers
Answer:
t = {4, 2}
Step-by-step explanation:
|3t-9| = 3
Split into two parts,
3t-9 = 3, and -(3t-9) = 3
Solve
t-3 = 1, and -(t-3) = 1
t = 4, and -t+3 = 1
t = 4, and t=2
Length is 5 units and width is 8 units . What is the perimeter
Answers
Answer:
26 units all around
Step-by-step explanation:
when finding the perimeter use the formula
2(length) + 2(width)
in this case
length is 8
width is 5
5(2) = 10
8(2) = 16
10 + 16 = 26
I need the answer fast pls
Answers
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
What is the slope of the line in the graph?
Options:
-4/3
-3/4
3/4
4/3
Answers
Answer:
Option 2: -¾
Step-by-step explanation:
First identify 2 points on the line.
(0, 1), (4, -2)
Substitute the coordinates into the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Slope of the line
[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]
[tex] = \frac{1 + 2}{ - 4} [/tex]
[tex] = - \frac{3}{4} [/tex]
☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.
Someone, please help I will crown brainliest
Answers
Answer:
6
Step-by-step explanation:
Y=-x+7
Y=-1+7
Y=6
If 4% of a number is 8, find 1% of that number.
Answers
Answer:
8 is 4% of 200, 1% of 200 is 2
2(x + _) = 2x + 10 Using the distributive property, what number would go in the blank in order for the given statement to be correct?
Answers
Answer:
10
Step-by-step explanation:
2
Answer:
2(x + 5) = 2x + 10
Step-by-step explanation:
2(x + A) = 2x + 10
2x + 2A = 2x + 10
Equating constant terms on both sides :
2A = 10
A = 5
Therefore , 2(x + 5) = 2x + 10
change this in 12 hour clock. 19 15
Answers
Answer:
th answer is 7:15 pm
Step-by-step explanation:
basically just count with your hands if you want, start with one finger and say 13 and go up from there, 7th finger is the 19th. Thats my easiest way of doing it. Or you can subtract 24-19 and subtract 12 from the remaining sum
write the equation for the circle graphed below.
Answers
Answer:
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex](h,k) \to center[/tex]
[tex]r \to radius[/tex]
From the attached graph,
[tex](h,k) = (1,-1)[/tex]
[tex]r = 0.5[/tex]
So, we have:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Select the correct answer.
Which statement is true about this function for all values of x < 4?
The function is positive.
The function is increasing.
The function is decreasing.
The function is negative.
Answers
Answer:
The function is decreasing
Step-by-step explanation:
For all values of x<4, the function is decreasing. Because the restricted domain would be (-∞,4), then x increases as y, or f(x), decreases.
Which pair of expressions below are equivalent (the same)?
a) 4(3b) and 7b
b) 4b + 5b and 20b
c)-5(2b + 2) and 20b
d) 3b + b + 2b and 6b
Please help it’s really important
Answers
PLEASEEEEEE HELLPPPPP MEEEEE
Answers
Answer:
It's A
Step-by-step explanation:
The r coordinate of x is positive 4 which would be the frist number.
The r coordinate of y is positive 1 which would be the second number.