A person whose eye level is 15 feet above the ground is looking at a building. The angle of elevation to the top of the building is 40° and the angle of depression to the bottom of the building is 15°. What is the height in feet of the building?
Answer:
61.97 feets
Step-by-step explanation:
Using trigonometry :
Horizontal distance between the person and building,
Let distance = d
Tan 15 = 15 / d
0.2679491 * d = 15
d = 15 / 0.2679491
d = 55.980781
To obtain the height, h :
tan 40 = (h-15)/d
d = 55.98
h-15 = 55.98 (tan 40°)
h - 15 = 55.98 * 0.8390996
h - 15 = 46.972797
h = 46.972797 + 15
h = 61.972797
h = 61.97 feets
I need help I just got this today no clue how to do it it’s due tomorrow btw
Answer:
i am REALLLYYY not sure about my answer but i think its 6. i dont recommend you to put that answer in lol
Step-by-step explanation:
6 = 3/3
What are the answers to both questions?
Answer:
1. p=54
2. -2n - 14
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
2. not quiet sure so sorry if you get it wrong
Un guepardo está persiguiendo a una gacela que corre a 90km/h. Le separa de ella una distancia de 20 m y lleva una velocidad de 97km/h, que mantiene durante 9s. ¿Alcanzará a la gacela?
Answer:
the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.
Step-by-step explanation:
Given that
Cheetah running at 90 km/h
Separated from a distance of 20 m
Now speed is 97 km/h
The time is 9 seconds
We need to find out whether it would catch up with the gazelle
For Gazelle
90 km = 90 × 1,000 = 90,000 m
1 h = 1 × (60 x 60) = 3600 s
Now
90,000: 3,600 = 25 m / s
For Cheetah
97 Km = 97 × 1000 = 97,000 m
1 h = 1 × (60 × 60) = 3600 s
Now
97 000: 3600 = 26.94 i.e. 27 m/s
e = 27 m /s × 9 s = 243 m
e = 25 m/s × 9 s = 225 m
Now
we have to add 20 m advantage to the gazelle.
So,
= 225 + 20
= 245 m
So based on the above calculation
the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.
VERY URGENT I HAVE A TEST! Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answer:
Sorry i just needed points.
Step-by-step explanation:
I don’t know this ppl I need help lol
Answer:
15
Step-by-step explanation:
The number of members in an organization, M, changes as a function of t months. In which situation is M a linear function of t?
Answer: d
Step-by-step explanation:
The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months
please help i don’t understand this
Answer:
tan45° = x/13
x=13
now y = √13²+13²
y =13√2
Answer:
x = 13
y = 13sqrt(2)
Step-by-step explanation:
it is a 45 - 45 - 90 triangle
Hester sells televisions. She earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Hester sells 18 televisions with extended warranties, she earns $1,350. How much is the fixed amount Hester earns for each television?
The fixed amount Hester earns for each television she sells is what?
Answer:its 70 i did it on savas
Step-by-step explanation:
Help PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answer:
I think it is the orange or the pink.
Step-by-step explanation:
Use the limits to find the area between the curve and the X-axis for the given interval y = x ^ 3 from x = 0 to x = 1
Links will be reported.
Answer:
1/4
Step-by-step explanation:
D
Hey, would anyone know the answers/correct matchup to this? (USA test prep)
Answer:
there you go
Step-by-step explanation:
What is the parent equation for exponential growth and decay?
Answer:
Doing so allows you to really see the growth or decay of what you're dealing with. The basic parent function of any exponential function is f(x) = bx, where b is the base. Using the x and y values from this table, you simply plot the coordinates to get the graphs.
Step-by-step explanation:
Answer:
A = P x r^t
Step-by-step explanation:
A = Amount (e.g. number of organisms in population after certain period of time)
P = Principal/ Initial Value (e.g. the starting population)
r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)
t = time in whichever units you need.
Example of problem using formula:
A population of 2000 decreases by 20% every year, find the population size after 5 years.
A = ?
P = 2000
r = 0.8
t = 5
A = Pxr^t
A = 2000 x 0.8^5
A = 655.36
Hope this helped!
HELP MEH ples.....................
Answer:
683cm
Step-by-step explanation:
Pay attention next time
Answer:
[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]
Step-by-step explanation:
we are given the base area of a cube
recall the surface area formula of a cube
[tex] \displaystyle A_{ \text{surface}} = 6( {a}^{2} )[/tex]
notice that, we are given the base area 7cm² in other words we are given a² i.e 7cm²
Thus substitute:
[tex] \displaystyle A_{ \text{surface}} = 6( 7 )cm ^{2} [/tex]
simplify multiplication:
[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]
and we are done!
Solve it please and show work! 30 CREDITS.
Answer:
D
Step-by-step explanation:
Due tonight.. *no links*
Answer:
28=x
78=y
Step-by-step explanation:
The lines are perpendicular so 78 would be the same for the top line. So the equation fill in would be (5x-62)=78 turning x into 28
HELP!!!
in triangle ABC , AB=116 , BC=68 and m
Answer:
This is a right traingle right? AC =129 is so
Step-by-step explanation:
Maurice bought 2 pound of grapes for $5.50. At this rate, how much would it cost to buy 6 pounds of grapes?
Answer:
16.5
Step-by-step explanation:
Answer:
16.50
Step-by-step explanation:
5.50 divided by 2 is 2.75
2.75 times 6 is 16.50
Solve the inequality for x.
-15 + x ≤ - 13
Simplify your answer as much as possible.
If a fair penny is tossed 24 times and comes up heads 18 times, what is the probability of heads coming up on the 25th flip of the coin?
Could someone explain this step by step.
The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.
Answer: 6 hours
Step-by-step explanation:
48/6 = 8
36/6 = 6
what does x equal? no step by step needed.
Answer:
x = 13
Step-by-step explanation:
BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7. 51 is the longer leg of triangle EFG
The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51. These ratios are equal to one another. Thus:
2x - 7 x + 4
--------- = ---------
57 51
Cross multiplication results in 51(2x - 7) = 57x + 228, or
102x - 357 = 57x + 228
Combining like terms, we get:
45x = 585, and so x = 13.
Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answer:69
Step-by-step explanation:
A) $16
B) p(x) = 16x -800
C) 69 ticketsn:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
For the function f(x) = 3x ^ 2 - 8 what is the average rate of change on the interval from to 10?
A. 0.03
B. 28.4
C.30
D. 292
Answer:
C
Step-by-step explanation:
Start from left to right
Answer:
Step-by-step explanation: it is jedn
Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
=> 3² + 4² = AB²
=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]
=> AB = 5
A coin is flipped 8 times. Find the probability of the event: exactly 3 heads
Answer:
The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.
Answer:
Step-by-step explanation:
The answer is exactly 0.219
You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like
8 * 7 * 6 / 3!
3! = 6
So the answer is 8*7 = 56
There are 2^8 = 256 ways you can throw either heads or tails.
The number of successes = 56/256 = 0.219 The nine is rounded.
PLEAAEEEEEE HELP! CORRECT ANSWER GETS BRAINLIEST URGET!!
Answer:
Graph F
Step-by-step explanation:
Given
x + 3 < 7 ( subtract 3 from both sides )
x < 4
Since x is less than 4 then this is indicated by an open circle at 4 on the number line with the arrow pointing to the left as shown on graph F
Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment after two years?
Answer:
FV= £12,362.7
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £12,000
Number of periods (n)= 2 years
Interest rate (i)= 1.5% = 0.015
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 12,000*(1.015^2)
FV= £12,362.7
HELP ME PLEASE ANSWER THE QUESTION CORRECTLY
Answer:
$4,499.46
Step-by-step explanation:
after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46
The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose endpoints are two vertices of this solid
Answer:
9 units
Step-by-step explanation:
Given
[tex]Length = 8[/tex]
[tex]Width = 4[/tex]
[tex]Height = 1[/tex]
Required
Determine the length of the longest segment
To do this, we use:
[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]
So, we have:
[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]
[tex]Longest = \sqrt{64 + 16 + 1}[/tex]
[tex]Longest = \sqrt{81}[/tex]
Take positive square root
[tex]Longest = 9[/tex]
Hence, the length of the longest segment is 9 units