A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
Solve the following system of equations.
3x + 2y - 5 = 0
x = y + 10
Make sure there are NO SPACES in your answer. Include a comma in your answer.
ANSWER:
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
En cierto cultivo, inicialmente había 1000 amebas que se reproducen por biparticion cada día ¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo ?
Answer: 1,073,741,824,000 amebas
Step-by-step explanation:
Bipartición significa que la población de amebas se duplica cada día.
Entonces si inicialmente hay 1000, después de un día van a haber:
2*1000.
Después del segundo día se vuelven a duplicar, entonces van a haber:
2*(2*1000) = (2^2)*1000
Después del tercer día, lo mismo:
2*(2^2)*1000 = (2^3)*1000.
A esta altura ya se puede ver el patrón, podemos concluir que después de N días, la población de amebas va a ser:
P(N) = (2^N)*1000.
Entonces respondiendo a la pregunta:
¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo?
Tenemos que tomar N = 30
P(30) = (2^30)*1000 = 1,073,741,824,000 amebas
Find the slope of the table
Answer:
y= -.5x+2
Step-by-step explanation:
Asappppp , pls help me :((
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
A 2-yard piece of string costs 1.50$. What is the price per foot?
PLEASE HELP
WILL MARK BRAINLIEST
Answer:
0.013333333333333
Step-by-step explanation:
short answer would be 0.013 i think lol
Hi! I believe your answer is $0.25 (twenty-five cents). There are 3 feet in a yard, so in 2 yards, there are 6 feet. If we want to know the cost per foot, we need to divide 1.50 by 6. The quotient is 0.25, or $0.25 per foot. I hope this helps you! Good luck and have a great day/night. ❤️✨
I WILL GIVE 50 POINTS AND BRAINLIEST. Now do I have ur attention
:P
Say some interesting fact or something cool or funny. Winner gets brainliest
Answer:
the same type of skin on your lips is the same type of skin on you bo- it wont let me say it haha
Answer:
What's the best thing about Switzerland.
Answer:
I don't know, but the flag is a big plus.
Step-by-step explanation:
HELP PLEASE 12 POINTS
5.7 x 3.6 help me asap
Answer:
20.52
Step-by-step explanation:
I used a calculator
An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28
Answer: 28
Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28
Answer:
the answer is D $28
Step-by-step explanation:
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
Can anyone give me the answer?
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.
Michael is using a number line to evaluate the expression –8 – 3
Answer:
-11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue car: 30.8 miles per galon
Red car: 27 miles per galon
Blue car can travel longer distances on one galon!
Step-by-step explanation:
Blue car:
38 1/2=77/2=38.5 miles
1 1/4=5/4=1.25 gasoline
38.5/1.25=30.8miles per galon
Red car:
21 3/5=108/5=21.6 miles
4/5=0.8 gasoline
21.6/0.8=27 miles per galon
What is the next term in the following sequence? 54, -18, 6,.....
please can someone solve
2(x+6) ^2+ 4 = 20
explain step by step please (square root property)
Answer:
x=2√2-6, -2√2-6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps.
⚠️⚠️ IM ALMOST DONE please ⚠️⚠️
If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answer:
Step-by-step explanation:
A
SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ
Answer:
the answer is d. x >=4
Jessica wants to go on a school trip next month. The trip will cost $100 and she already has $10 and plans to babysit for $5 an hour to earn the rest of the money.
A. Write an equation that could be used to determine h, the number of hours Jessica needs to babysit to earn $100.
B. From your equation, determine the number of hours she needs to babysit.
Answer:
Step-by-step explanation:
100=10+5x x is the hours she needs to babysit
90=5x
x=18
She needs to babysit for 18 hours at $5 an hour if she already has $10
plz help me with thi quston
Answer:
448000
Step-by-step explanation:
First 10^4 is just 10*10*10*10=10000
44.8*10000 = 448000
Hope this helped!!
Answer:
4.48 x 10^5
Step-by-step explanation:
44.8 x 10000 = 448000 = 4.48 x 10^5
Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?
Answer:
34,567-22,999=11,568
9 - 8(x+1) < 3 (2 - 4x)
Answer: x < 5/4
Step-by-step explanation:
What is the domain of the decreasing function?
Answer:
A function f is called decreasing on an interval if f (a) > f (b) whenever a < b and a, b are in the interval.
Step-by-step explanation:
The domain of the function shown here is the interval [1, 6].On the interval [1, 3], the graph of this function gets higher from left to right; thus we say that this function is increasing on the interval [1, 3].
On the interval [3, 6], the graph of this function gets lower from left to right; thus we say that this function is decreasing on the interval [3, 6].
79.990 as a decimal??????? Help ASAP
Answer:
79.990 is a decimal
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
Write the number for one million six hundred thousand .
Answer:
1,600,000
Step-by-step explanation:
Answer:
1001600
Step-by-step explanation:
Upload the worksheet with your constructions below.
Answer:
I attached a pic of my work, its 100% correct.
Its a bit messy....
