Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 15°, and the angle of depression from his line of sight to the bottom of the screen is 22°. Find the height of the entire screen. Do not round any intermediate computations. Round your answer to the nearest tenth.
Answer:
12.8 m
Step-by-step explanation:
From the diagram :
Height PR = 19m
Using Pythagoras :
From triangle PQR:
QR = x
Tan θ = opposite / Adjacent
Tan 22° = x / 19
x = tan 22° * 19
x = 0.4040262 * 19
x = 7.6764982 m
From triangle PRS:
SR = y
Tan θ = opposite / Adjacent
Tan 15° = y / 19
y = tan 15° * 19
y = 0.2679491 * 19
y = 5.0910346
Height of entire screen :
(7.6764982 + 5.0910346) m
= 12.7675328 m
= 12.8 m
In ANOP, NO – PN and mZN = 140°. Find mZP. Please help me!
Answer:
20°
Step-by-step explanation:
If m∠N = 140° and NO = PN , then m∠O = m∠P = (180° - 140°) / 2 = 20°
What is the area of a right triangle that measure 8” high and has a 4” base?
Answer:
the answer is 16 im pretty sure
Step-by-step explanation: hope this helps :)
determine type of triangle PLZZ ASAP
Answer:
scalene right
Step-by-step explanation:
no side congruent and right
Is 700% of 8 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
Greater than 10 but less than 100.
Step-by-step explanation:
Help plz. I’ve been stuck for almost a hour
Answer: x=10 and y=25
Step-by-step explanation:
ok, so since we know straight angles=180 degrees, so since one part=100, the other smaller angle=80. This means that 11x-30=80 and 5y-25=100. 11*10=110, and 110-30=80, so x=10. 5*25=125, and 125-25=100, so y=25. And lol. me too. When I used to do these problems, I was stuck for a very, very long time. Just try to use logic most of the time.
Answer:
y = 25 and x = 10
Step-by-step explanation:
the angles on top and on bottom are equal so...
5y - 25 = 100
5y - 25 + 25 = 100 + 25
5y = 125
5y/5 = 125/5
y = 25
Every line is 180 degrees so we know that if the top and bottom angles are 100 then the other angles need to equal 80
11x - 30 = 80
11x - 30 + 30 = 80 + 30
11x = 110
11x/11 = 110/11
x = 10
Suppose you deposit $3,000 in a savings account that pays 3.5% interest compounded quarterly. If no other money is added or withdrawn from the account, how much will be in the account after 5 years?
Answer:
$3,080
I Don't know how to deal with money.
PLEASE MARK BRAINLIEST
Lisa purchased groceries worth $34 for a party. A gallon of milk costs $2.50, a gallon of ice cream costs $7.50, and a gallon of lemonade costs $3.00. If Lisa bought 4 gallons of milk, and 2 gallons of ice cream, how many gallons of lemonade did she buy?
Answer:
3
Step-by-step explanation:
4×2.5=10
2×7.5=15
10+15=25
34-25=9
9÷3=3
Answer:
3
Step-by-step explanation:
4(2.50)=10
2(7.50)=15
15+10=25
34-25=9
3(3)=9
25+9=34
What is 71.00725175 to 3sf
Answer:
71.0
Step-by-step explanation:
I need help please. Whoever answers first get brainiest!
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Choose the graph of this equation.
Answer:
C
Step-by-step explanation:
the y-intercept is -2 and the slope is up 3 left two which is -3/2
lisa purchased almonds for 3.50 per round. she spent a total of 24.50, how many pounds of almonds did she purchase?
Answer:
7 pounds
Step-by-step explanation:
In order to find the answer to this question add the cost of a pound worth of almonds to the total amount of money she spent altogether in till you cannot add anymore.
[tex]3.50+3.50=7.00[/tex]
[tex]7.00+3.50=10.50[/tex]
[tex]10.50+3.50=14.00[/tex]
[tex]14.00+3.50=17.50[/tex]
[tex]17.50+3.50=21.00[/tex]
[tex]21.00+3.50=24.50[/tex]
=[tex]7lb[/tex]
Check work:
[tex]3.50\times7=24.50[/tex]
Hope this helps
Answer:
Step-by-step explanation:
3.50 per pound
Let each pound represent x
Total of almonds bought is 24.50
therefore 3.50x = 24.50
x = 24.50 ÷3.50
x= 7
a = -5 b= 7
-2b + a
( Worth 10 points)
Answer:
-19
Step-by-step explanation:
so you are just going to substitute in -5 for a and 7 for b.
-2(7)+ (-5)
please help. I don't understand
Answer:
∠ACB = 72
Step-by-step explanation:
OAD is straight line.
∠DAB + ∠OAB = 180
142 + ∠OAB = 180
∠OAB = 180 - 142
∠OAB = 38
ΔAOB is isosceles triangle. OA = OB = radius
∠OAB = ∠OBA = 38 {angles opposite to equal sides or equal}
In ΔAOB ,
∠OAB + ∠OBA + ∠AOB = 180 {Anlge sum property of triangle}
38 + 38 + ∠AOB = 180
76 + ∠AOB = 180
∠AOB = 180 - 76
∠AOB = 104
THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle
∠AOB = 2*∠ACB
∠ACB = ∠AOB/2
= 104/2
∠ACB = 72
Find the area of quadrilateral ABCD and RST.
Answer:
ABCD is 6 units 2×3=6
im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.
We can see here that the area of quadrilateral ABCD = 12 units².
While the area for triangle RST = 5 units².
What is quadrilateral ?A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.
Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².
Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².
Learn more about quadrilateral on https://brainly.com/question/23935806
#SPJ2
How to make x the subject
Answer:
DEMOS LOS
Step-by-step explanation:
Which ordered pair(s) are solutions to the function f(x) = 6x-4
Answer:
(Look at comments)
Answer:
jnkj
Step-by-step explanation:
solve for x 2(3x-2)-4x+1=9 linear equations with disbribution
Answer:
x=-2/3,2
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
2 (3x - 2) - 4x + 1 = 9
Distribute the 2 to 3x and -2
6x - 4 - 4x + 1 = 9
Combine like terms
2x - 3 = 9
Add three to both sides
2x = 12
Divide by 2
x = 6
the expression -6 -7(4+3x) is equivent to
Answer:
Done!
Step-by-step explanation:
-6 - 7(4 + 3x)
Distribute;
-6 - 28 - 21x
-34 - 21x
Color of socks
Number of socks
white
9
black
2
blue
5
brown
8
9
From the table, the ratio of white socks to brown socks is
Select two latios equivalent to the ratio of white socks to brown socks.
45
27
24
B
40
45
24
28
41
Answer:
45:40
27:24
Step-by-step explanation:
45:40 c=5
27:24 c=3
list a few factors of 24?
Answer:
1,2,3,4,6,8,12,24
Step-by-step explanation:
I am a two digit prime numberThe number 5 less than me is a multiple of 11.
Which number am I?
Answer:
17
Step-by-step explanation:
22 is a multiple of 11 and 22-5 is 17
The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answer:
Slope of f(x) is greater than slope of g(x)
g(x) has a greater y intercept
Step-by-step explanation:
Given
f(x) table
[tex]g(x) = 2x + 6[/tex]
Solving (a):
First, we determine the slope of f(x).
From the table, we take any two corresponding values of x and f(x).
Represent f(x) with y
[tex](x_1,y_1) = (-1.-12)[/tex]
[tex](x_2,y_2) = (0.-6)[/tex]
The slope (m) is calculated as thus
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]
[tex]m = \frac{-6 +12}{0 +1}[/tex]
[tex]m = \frac{6}{1}[/tex]
[tex]m = 6[/tex]
Represent this with m1
[tex]m_1 = 6[/tex]
Calculating the slope of g(x).
The general form of an equation is [tex]y = mx + b[/tex]
Where m represents the slope.
We have that:
[tex]g(x) = 2x + 6[/tex]
By comparing [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]
[tex]m = 2[/tex]
Represent this with m2
[tex]m_2 = 2[/tex]
Comparing both slope, we can say that:
f(x) has a greater than slope of g(x)
Another comparison is that:
Slope of f(x) is 3 times the slope of g(x)
Solving (b): Function with greater y intercept.
The general form of an equation is [tex]y = mx + b[/tex]
Where b represents the y intercept.
First, we need to determine the equation of f(x) using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that, from the table of f(x):
[tex](x_1,y_1) = (-1.-12)[/tex]
[tex](x_2,y_2) = (0.-6)[/tex]
[tex]m_1 = 6[/tex]
So:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - (-12) = 6(x - (-1))[/tex]
[tex]y + 12 = 6(x +1)[/tex]
[tex]y + 12 = 6x +6[/tex]
Solve for y
[tex]y = 6x + 6 - 12[/tex]
[tex]y = 6x - 6[/tex]
By comparing this with [tex]y = mx + b[/tex], the y intercept of f(x) is -6
For g(x), we have:
[tex]g(x) = 2x + 6[/tex]
By comparing this with [tex]y = mx + b[/tex], the y intercept of g(x) is 6
Comparing the y intercepts of both functions, g(x) has a greater y intercept because [tex]6 > -6[/tex]
ill give u brainliest
Answer:
D
Step-by-step explanation:
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation:
Josiah buys a video game for $20 plus a 6% tax. Elliot buys a basketball for $18 plus a 6% tax. Enter the difference in the amount Josiah and Elliot paid, including tax. Round your answer to the nearest cent.
Can somebody please help me with this math question
Answer:
9
Step-by-step explanation:
Mari and Rob are making a poster for the science fair. They need to figure out how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know that they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars. Circle the partial products Mari and Rob would need to add to find the product of 7 and 0.38. Mark all that apply. Which problems will have two decimal places in the product? Mark all that apply.
Answer: a big rock
Step-by-step explanation: i am just dumb and lazy
I NEED HELP ASAP THANKSSS
factor x^2 +9x+20
Answer:
(x + 5)(x + 4)
Step-by-step explanation:
[tex]x^{2} +9x+20=(x+5)(x+4)[/tex]
Answer:
Step-by-step explanation:
x^2+9x+20
(x+4)(x+5)
The freshmen class is going on a field trip. There are 316 people going.
Six people will be traveling by car and there are five buses. How many
people must ride on each bus?
Need help for the equation