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)
what is the equation shown on this graph?
Answer:
y=1
Step-by-step explanation:
there is no slope therefore dont place it. however there is a Y intercept.
Please help will mark brainliest if correct
Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
is 3x + 2y = 5 direct variation
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
Step-by-step explanation:
When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.
Solve : 24 = 6 - 6 = 2 + (
3 x 7)
Answer:
3.5
Step-by-step explanation:
24=0=2×3×2×7
24=6×14=0
24=84 =0
24÷84=3.5
True or false, there is a decimal point on every whole number. We just don’t usually write it.
Help LOL I have a quiz I would appreciate it
Answer:
True
Step-by-step explanation:
for example: 5 could also be written as 5.00
Answer:
I think that’s false it should be
Step-by-step explanation:
If not don’t report me plz
25 penalties decreased by 32% is __penalties.
My Fav Football team what’s yours? Follow and Like
Answer:
I don't like Football...
Step-by-step explanation:
Answer: My fav is the New York Giants
Step-by-step explanation:
Write an equation in slope-intercept form of the line with slope −6/5 that contains the point (−5,3)
Answer:
y=-6/5x-3
Step-by-step explanation:
y-3=-6/5(x+5)
y=-6/5x-3
How do u know that these two nunbers are oppisites
Answer:
cous of the negative or positive symbol
Step-by-step explanation:
What are the steps on how to copy an angle? (Geometry)
Step-by-step explanation:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Hope this helps :)
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer: 0.43
Step-by-step explanation: divide
Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is
Answer:
23
Step-by-step explanation:
Basically I did it backwards & opposites:
-28 divided by -7 = 4
4 + 19 = 23
I checked btw and it worked.
Juan's cell phone company charges $35 a month for phone service plus
$0.50 for each text message. How many text messages does Juan send in a
month if his bill was $52?
Answer:
Juan sends 34 text messages.
Step-by-step explanation:
$52-$35= $17
17 dollars / .50 = 34 messages
Tangela bought 12 cans of sodas for $5.40. What was the unit rate for each can of soda?
Answer:
The answer is $0.45.
Step-by-step explanation:
Divide 12 by 5.40 and there's your answer.
12 / 5.40 = 0.45
Rate of per can is $0.45 per
Given that;
Number of cans bought buy Tangela = 12 cans
Total amount paid = $5.40
Find:
Rate of per can
Computation:
Rate of per can = Total amount paid / Number of cans bought buy Tangela
Rate of per can = 5.40 / 12
Rate of per can = $0.45
Learn more:
https://brainly.com/question/19264460?referrer=searchResults
idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?
Answer:
the answer is -8
Step-by-step explanation:
this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8
Answer:
i got 8
Step-by-step explanation:
ur questions range on so many level, ngl
Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.
HELP PLS EJDHWJDHJ
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Hope I' not too late -w-'
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:
Answer:
$0.76 per serving of pumpkin pie
Step-by-step explanation:
the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075
if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie
We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.
First, we must get the cost of the whole pie. We have:
$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90The total cost is then:
C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97
Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75
If you want to learn more, you can read: https://brainly.com/question/20005135
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6
Answer:
answer for y=2/3x+2: y=2/3x+2
answer for -2x+3y=6: x=3/2y-3
pls give brainliest
Answer:
There are infinitely many solutions.
Step-by-step explanation:
There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.
Showing that both equations are equal: y=2/3x+2 -2x+3y=6
y=2/3x+2 Multiply by 3 on both sides
3y=2x+6 Rearrange (-2x on both sides)
3y-2x=6 More rearrangement
-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.
What is the slope of the line shown below?
Answer:
y=-1/5x+3 or slope = -1/5
Step-by-step explanation:
-2x + 3y = 54
What are the x and y intercepts
Answer:
x= -27 y=18
Step-by-step explanation:
plug in zero for x to find y and plug in zero for y to find x
Answer: The x-intercept is (-27,0)
The y intercept is (0,18)
Step-by-step explanation:
For the x- intercept, Substitute 0 for y and solve for x
-2x + 3(0) = 54
-2x + 0 = 54
x = 54/-2
x = -27
For the y -intercept, Substitute 0 for x and solve for y
-2(0) + 3y = 54
0 + 3y = 54
y = 54/3
y = 18
Which decimal is greater ? .0203 or .023
Answer:.023
Step-by-step explanation:
What is the solution to 2(x-4)=16
Answer:
x=12
Step-by-step explanation:
Which are equivalent equations? Select two correct answers.
d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1
Answer:
B and D if not sorry
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
How to do this question plz answer
9514 1404 393
Answer:
60
Step-by-step explanation:
The exterior angles of the polygon are the supplement of the interior angles, so are ...
180° -174° = 6° . . . . measure of each exterior angle
The sum of exterior angles is 360°, so ...
n(6°) = 360°
n = 360°/6° = 60
The polygon has 60 sides.
Answer:
The polygon has 60 sides.
Step-by-step explanation:
Each interior angle = 174°
Each exterior angle = 180° - 174° = 6°
Sum of all exterior angles = 360°
6x = 360° (x = no. of exterior angles)
x = 360°/6
x = 60
If it has 60 exterior angles it has 60 interior angles.
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
A scale drawing of a rectangle park measures 6 inches long and 2 inches wide. If the scale used for the 3 inches equals 7 yards, what is the actual length of the park?
i am just going to give points away pls give me brainlyest
Answer:
Okay will do!!
Step-by-step explanation:
