Answers
Answer:
t = 9.57
Step-by-step explanation:
We can use trig functions to solve for the t
Recall the 3 main trig ratios
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent.
( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )
We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"
When dealing with the opposite and adjacent we use trig ratio tan.
Tan = opp / adj
angle measure = 62 , opposite side length = 18 and adjacent = t
Tan(62) = 18/t
we now solve for t
Tan(62) = 18/t
multiply both sides by t
Tan(62)t = 18
divide both sides by tan(62)
t = 18/tan(62)
t = 9.57
And we are done!
Related Questions
A store has 3 separate displays of color markers. There are 14 sets of color markers in each display. There are 15 markers in each set. What is the total number of markers on display?
A.) 240
B.) 630
C.) 210
D.) 633
Answers
Answer:
C.) 630
Step-by-step explanation:
14x15=210
210x3=630
See attachment for answer and math work.
For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?
Answers
A because the > symbol means greater so if n is on the open side that means its greater
~Shoto Todoroki here~
its option A
i figured this out by trial and error :/
have a good day!
What is an equation of a line that passes through (0,3) and (2,4)
Answers
Answer:
y=1/2x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(2-0)
m=1/2
y-y1=m(x-x1)
y-3=1/2(x-0)
y=1/2(x)+3
y=1/2x+3
Which is the best example of a down payment?
A. Margo leases an apartment and pays $500 cash as a security deposit when she moves in.
B. Robby pays 10 percent cash up front and gets a loan for the
remaining 90 percent of the cost of a condominium.
C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.
D. Jan signs a cell phone plan that includes a little of the cost of her new phone as part of her bill every month.
Answers
The best example of a down payment is given as follows:
C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.
What is the down payment of a purchase?The down payment of a purchase is when a part of the purchase is paid when the purchase is made, and the other part(subjected to interest or not), is paid later.
In this problem, the example of a down payment is given by option C.
More can be learned about down payments at https://brainly.com/question/1698287
#SPJ1
Answer:
B. Robby pays 10 percent cash up front and gets a loan for the remaining 90 percent of the cost of a condominium
Step-by-step explanation:
i just did it
Which option below is not a potential risk of purchasing a used car?
used cars can require repairs sooner
Shorter lifespans of the engine and transmission
used cars can have lower initial cost
unexpected issues may arise
Answers
Answer:
used cars can have a lower initial cost
Step-by-step explanation:
it is not a risk/hinder to purchasing a used car
x+2y=0
3x+4y=4
find the solution
Answers
Answer:
(x, y) = (4, -2)
Step-by-step explanation:
The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.
(3x +4) -2(x +2y) = (4) -2(0)
x = 4 . . . . . . . . . simplify
Substituting into the first equation, we have ...
4 +2y = 0
2 +y = 0 . . . . . . divide by 2
y = -2 . . . . . . . . subtract 2
The solution is (x, y) = (4, -2).
given the function f(x)=-2x^4-16x^3-36x^2, determine all intervals on which f is both decreasing and concave down
Answers
Answer:
(0, ∞)
Step-by-step explanation:
The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.
0 < x < ∞ . . . . . decreasing and concave down
__
Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.
The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.
__
The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.
_____
Additional comment
A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.
The first derivative is ...
f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2
This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.
The second derivative is ...
f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)
The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.
The function is concave downward and decreasing for x > 0.
HELP ASAP (40 POINTS)
Solve the equation.
16x^2 + 4 = 0
A: +/-4i
B: +/- 1/2i
C: +/- 1/4i
D: +/-2i
Answers
Answer:
c i think because the problem =-
[tex] - \frac{1}{4} [/tex]
What is the area of the triangle?
Answers
Answer: 60 square units
Area of a triangle formula: 1/2 * base * height
So, the height is 10 units and base is 12 units
1/2 * 10 * 12
= 60 square units
combine over common denominator 2/3a + 1/3 - 4/a
Answers
Mark as brainliest
A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately
Answers
Answer:
10.07 meters
Step-by-step explanation:
We are given that the angle of elevation is 40° and the boy is 12 meters from the building.
This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].
The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.
Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(40^\circ)=\frac{x}{12}[/tex]
[tex]12tan(40^\circ)=x[/tex]
[tex]x=12tan(40^\circ)[/tex]
[tex]x\approx10.07[/tex]
Therefore, the height of the building is approximately 10.07 meters.
One gallon of gas costs $1.50. Three gallons of gas costs $4.50. How much will 9 gallons of gas cost?
Answers
Answer:
9 gallons will cost $13.50
Step-by-step explanation:
1 gallon = $1.50
1.50 x 9 = 13.50
or
3 gallons = $4.50
4.50 x 9 = 13.50
Answer:
13.5 dollars.
Step-by-step explanation:
4.50 times 3 is 13.5 dollars.
Have A Good Day!!! :)
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.
Answers
The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:
[tex]Height = 24\ in[/tex]
[tex]Width = 28\ in[/tex]
From the center of the mirror to the floor of the wall, the distance is:
[tex]Distance =5\frac14\ ft[/tex]
So, the distance to the top of the mirror will be:
[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]
Substitute 24 for height
[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]
[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]
Convert feet to inches
[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]
[tex]Top = 63\ in+ 12 \ in[/tex]
[tex]Top = 75 \ in[/tex]
The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:
[tex]Distance = 8\ ft - 75\ in[/tex]
Convert feet to inches
[tex]Distance = 8\times 12\ in - 75\ in[/tex]
[tex]Distance = 96\ in - 75\ in[/tex]
[tex]Distance = 21\ in[/tex]
Hence, the distance is 21 inches
Read more about lengths at:
https://brainly.com/question/10545161
Solve for x 18 Х 16 24 0 15 O 12 0 24 o 17
Answers
Answer:
Look it up
Step-by-step explanation:
HELPPPPPP WIL GIVE BRANELISTTTT
Answers
Answer: i think the answer is B
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form
Answers
Answer:
y = -5/6x + 6
Step-by-step explanation:
Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula
Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6
Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6
50 squared is rational
True
False
Answers
Answer:
false
Step-by-step explanation:
Answer:
A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.
Step-by-step explanation:
I NEED HELP PLEASE AND THANK YOU (asap)
Which relation represents a linear function?
A) (5,6), (3,8), (1,10), (-1, 12)
B) (-3,1), -1,4), (1,9), (3,16)
C) (-2,0), (0,1), (2,3), (4,6)
D) (7,-1), (4,-3), (1,-6), (-2,-9)
Answers
I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.
Answers
Answer:
Number 3 is 10
Step-by-step explanation:
16+13(10)=146
14(10)+6=146
Answer:
See answer below.
Step-by-step explanation:
# 3 x = number of boxes
$16 + 13x = Tracy cost
$6 + 14x = Brendan cost
The costs are equal.
16 + 13x = 6 + 14x
10 + 13x = 14x
10 = x
#4 First plan second plan
x = number of people at a table x = number of people at a table
y = number of people at a booths y = number of people at a booths
24x + 21y = 270 multiply by 23 ⇔ 552x + 483y = 6210
14x + 23y = 222 multiply by -21 ⇔ -294x - 483y = -4662
258x = 1548
x = 6
Six people at each tables
24 (6) + 21y = 270
144 + 21y = 270
21y = 126
y = 6
Answer: 6 people at each table; 6 people at each booth.
HELP PLEASE ANYONE
Derrick has 3 times as many CDs as Joshua. Which equation compares the number of CDs that the two boys have? (Let d = number of Derrick's CDs and j = number of Joshua's CDs.) O A. 3d = j E ов O B. 3j = d c C. 3 + d = j OD. 3 + j = d
Answers
Answer:
b
Step-by-step explanation:
joshua times 3 is basically derrick's amount
so 3j = d
one of the angles of a regular octagon has a measure of (7x-5) What is the value of x?
Answers
Answer:
x = 20
Step-by-step explanation:
The interior angles of a regular octagon have measures of ...
180° -360°/8 = 135°
We want that equal to the given expression.
7x -5 = 135
7x = 140 . . . . add 5
x = 20 . . . . . divide by 7
The value of x is 20.
Answer:
20
Step-by-step explanation:
Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).
135 = 7x - 5,
135 + 5 = 7x,
140 = 7x,
140 / 7 = x,
20 = x
What is the value of |–3.25| ?
Answers
Answer:
3.25Step-by-step explanation:
Rule: An absolute value will always be positive.
=> Referring to the rule, the absolute value of |–3.25| is 3.25.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
I NEEEEED HELP AND QUICK T~T
Answers
Answer:
5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr
Step-by-step explanation:
5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.
6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.
7. Alternate exterior, same as #1
8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines
9. Corresponding since they are at the same place on the 2 parallel lines.
PLEASE HELP 60 POINTS
if l || m, find the value of x
Answers
Answer:
x = 15
Step-by-step explanation:
84 = 5x + 9
Subtract 9
75 = 5x
Divide by 5
x = 15
Answer:
x = 15
Step-by-step explanation:
5x + 9 and 84 are alternate angles and are congruent , so
5x + 9 = 84 ( subtract 9 from both sides )
5x = 75 ( divide both sides by 5 )
x = 15
solve one step equation x - 10.5 = 2.5
Answers
Answer:
x = 13
Step-by-step explanation:
need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13
Find the slope of the line.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
OB. The slope is undefined.
Answers
Answer:
sorry
for this answer
Labor unions arose in the nineteenth century as increasing numbers of Americans took jobs in factories, mines, and mills in the growing industrial economy.
The Knights of Labor, founded in 1869, was the first major labor organization in the United States. The Knights organized unskilled and skilled workers, campaigned for an eight hour workday, and aspired to form a cooperative society in which laborers owned the industries in which they worked.
The Knights’ membership collapsed following the 1886 Haymarket Square riot in Chicago. By 1886 the American Federation of Labor (AFL), an alliance of skilled workers’ trade unions, was growing.
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answers
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation:
Find the value of x and the indicated angles.
Answers
Answer:
x = 19
Indicated angles: 113°
Step-by-step explanation:
We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.
=> 6x - 1 = 2x + 75=> 6x - 2x = 1 + 75=> 4x = 76=> x = 19Since we have found the required variable, we can now solve the indicated variables.
Given angles:
6(19) - 12(19) + 75Let's solve 6(19) - 1 first.
6(19) - 1=> 114 - 1=> 113Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75
2(19) + 75=> 38 + 75=> 113We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
Answers
Uhmm I think around 70 days or 90
I'm not sure
Answer:
6 days
Step-by-step explanation:
1 boy workload = 1/2 1 man workload
2 boys workload = 1/2*2 = 1 man workload
so 3 men + 2 boys workload = 4 men workload
3 men ..... 8 days ... 24man-days to build
4 men ..... x days ... 24man-days to build
x=24/4=6
Pls help me rn bec sue tmr pls pls
Answers
Answer:
Number of 1-cm cube 24. Volume of solid 24 cm^2
Step-by-step explanation: