Answer:
Tan 50 = H/24
Step-by-step explanation:
The set up will give a right angled triangle;
Given the following
angle of elevation = 50degrees
Distance of elevation from the flagpole base = 24m (Adjacent)
Required
Height of the flagpole (Opposite) = H
Using the SOH CAH TOA identity
Tan theta = opposite/adjacent
Tan 50 = H/24
H = 24tan50
H = 24(1.1918)
H = 28.60
Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole
The height of the flagpole is 28.60.
Given
The angle of elevation to the top of a flagpole is 50 degrees.
The angle of elevation was measured 24 from the base of the flagpole.
The angle of elevation;The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.
Let the height of the flagpole be H.
Then,
The height of the flagpole is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60[/tex]
Hence, the height of the flagpole is 28.60.
To know more about the angle of elevation click the link given below.
https://brainly.com/question/12992313
The diagonal of a square has length 14 find the length of a side
Answer:
14
Step-by-step explanation:
because all diagonals are of the same lenght
Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.
Answer:
The number of 5-inch cuts if duct tape remainding is 14.
Step-by-step explanation:
1. 96 - 22.5 = 73.5
2. 73.5/5 = 14.7
3. .7 isnt a full piece of tape, so he has 14 5inch tapes
WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet from the base of the pole, find the height of the telephone pole. Round your answer to nearest thousandths of a foot.
Answer: The height of the telephone pole = $15.046
Step-by-step explanation:
Given: Angle of elevation= 62 degrees.
Distance of Ben from the base of the pole = 8 feet
According to trigonometry, we have
[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]
i.e.
[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]
Hence, The height of the telephone pole = $15.046
the circle has been divided into 5 equal parts point point Tis the center of the circle.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Calculate the area of the trapezoid, which is not drawn to scale.
Answer:
38 in
Step-by-step explanation:
Ok, so the bottom part is a rectangle and the top part is a triangle. We’re gonna split those into two different shapes.
8 * 4 = 32, this is the area of the bottom rectangle.
To get the side length of the top triangle, we have to subtract 8 from 11.
11 - 8 = 3
(3 * 4)/2 = 6, this is the area of the top triangle.
Add the two areas, 32 + 6 = 38
And that’s it, maybe, I think.
Determine the length the 6 meter side and the 12 meter side will be in the drawing.
plss help me answer all the questions
Answer:
x=2,x=4
So, the 6-meter side will be 2 centimeters and the 12-meter side will be 4 centimeters in the drawing.
Step-by-step explanation:
Solve for x by using cross multiplication
6=3x
x=2
12=3x
x=4
For the pair of similar solids, find the value of the variable.
A. 3 cm
B. 18 cm
C. 16 cm
D. 2 cm
Answer:
2cm..................
The product of two positive consecutive odd integers is 2703. What are the positive numbers?
Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703
[tex]x^2+2x-2703=0[/tex]
It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.
Plzzz help meeee I am timeddddd!!
Answer:
9.75 is the answer rounded to 10.
10 is the final answer
Hope it helps!!!
Say if my answer is correct....
find the next four terms in a number pattern that follows the rule. start with the number 10. 10, 16, 22, 28, 34 Is 16, 22, 28, and 34 the answer?
Answer:
40, 46, 52, 58
Step-by-step explanation:
To find the next four terms, we have to find the pattern of the given terms.
We start at 10 and then go to 16.
Let's try adding 6 to each term and see what we get.
10 + 6 = 16
16 + 6 = 22
22 + 6 = 28
28 + 6 = 34
Looks like it matches the given terms.
To find the next four terms, we just have to keep adding 6 to each term.
34 + 6 = 40
40 + 6 = 46
46 + 6 = 52
52 + 6 = 58
What is 98x34x56÷5
Plz help me fast
Thanks in advance
Answer:
37318.4
Step-by-step explanation:
hope this helps
I need this quickly please
Answer:
y = 15x + 20 or 15x - y + 20 = 0
x = 11
Step-by-step explanation:
Line is passing through the points (0, 20) & (2, 50)
Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15
Equation of line
y - 20 = 15(x - 0)
y - 20 = 15x
y = 15x + 20 or 15x - y + 20 = 0
Plug y = 185 in above equation, we find:
185 = 15x + 20
185 - 20 = 15x
165 = 15x
x = 165/15
x = 11
In triangle GHI the measure of angle I = 90•, HI = 5.6, and IG = 2.8 feet. Find the measure of angle G to the nearest tenth of a degree
Answer:
63.4
Step-by-step explanation:
what is the unknown angle
Answer:
the line is 180 so you do 180-62=118
soo the angle x is 118°
find the function h(x)=f(x)+ g(x) if f(x) =2x^3+1 and g(x)=x^2- 4x+3
Answer:
h(x) = f(x) + g(x)
fill in the equations
h(x) = (2x^3 + 1) + (x^2 - 4x + 3)
h(x) = 2x^3 + 1 + x^2 - 4x + 3
combine like terms
h(x) = 2x^3 + x^2 - 4x + 4
The diameter of a circle is 4 cm. Find its area in terms of \piπ.
Answer:
Area of circle = 4π.
Step-by-step explanation:
Given the following data;
Diameter = 4cm
Pie = π.
To find the area of the circle;
Radius = diameter/2
Radius = 4/2
Radius = 2cm
Area of a circle = πr²
Substituting into the equation, we have;
Area of circle = π*2²
Area of circle = 4π.
(SAT Prep) Find the value of x.
Please help me
Answer:
lelelleleellelelellelellelelelrlrlelel
Khan academy Help please
Answer:
1)quotient, 2)sum, 3)difference, 4)product
Step-by-step explanation:
A quotient is always the answer to a division problem.
A product is always the answer to a multiplication problem.
A difference is always the answer to a subtraction problem.
A sum is always the answer to a addition problem.
Answer:
mm dont mind me
Step-by-step explanation:
Solve the equation for 1/3 + a = 5/4
a = 1/3 * 5/4
a = 5/16
..What percent of 420 is 79.8?
What percent is 79.8 of 420?
Answer:
19.95 %
19.95%
Hope that helps!
Step-by-step explanation:
Lauren divided a pile of paper into 5 stacks. The line plot shows the height of each stack of paper.
MAMAT050510270_1a.gif (picture of the graf)
What was the height, in inches, of the original pile of paper?
5/8
1 1/3
1 5/8
3 1/8
Answer:
5/8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Bernadette says that the plotted point is located at (−5, −41 2 ). What is Bernadette's error?
A She switched the x- and y-coordinates.
B Both coordinates should be positive values.
C The x-coordinate should be 5.
D The y-coordinate should be Negative 3 and one-half.
Answer:
It D
Step-by-step explanation:
Answer:
She switched the x- and y-coordinates.
Both coordinates should be positive values.
The x-coordinate should be 5.
✔ The y-coordinate should be -3 1/2
Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?
Answer:
Step-by-step explanation:
3) 15,39,65
_________
5 )5,13,65
--------------
13 )1,13,13
----------------
| 1,1,1
L.C.M.=3×5×13=195
They will chime together after 195 minutes.
Determine the distance between the two groups after the hikes
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Answer this question for 25 points
Answer:
49
Step-by-step explanation:
i see the other answer is absolutely useless
Marble:Stone
6 : 7
42 : 49
therefore there are 49 stones
Answer:
49
Step-by-step explanation:
42 ÷ 6 is 6
7 x 7 is 49
so its 49
Write down all the odd numbers between 720 and 730
Answer:
721, 723, 725, 727, 729
Step-by-step explanation:
Have a blessed day :)
Randy has 53 inches of ribbon that he cuts into 8 pieces of equal length. What is the length of each piece of ribbon, in inches? Use paper to show your work. Enter your answer in the box. The length of each piece of ribbon is inches. Question 2 Select from the drop-down lists to describe the length of each piece of Randy’s ribbon. The length of each piece of Randy’s ribbon is between and inches.
Answer:
6 5/8
Step-by-step explanation:
a sales rep earns $700 a month plus $30 for every part sold
Answer:
Salary=30(parts sold) + 700
Step-by-step explanation:
What is 7 1/5 written as a percent
Answer:
720%
Step-by-step explanation:
Answer:
720 %
Step-by-step explanation:
Method 1
If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %
Method 2
7 1/5 is equal to
7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5
We know that 36/5 is the same as 36 ÷ 5
36 divided by 5 gives us 7.2
Convert the decimal to a percent:
7.2 × 100 = 720%
Hope this helps :)
PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!
