sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answers
Answer: Around 68.0858 m
Step-by-step explanation:
Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35To find x To find y
[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex] [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]
To find the height of the building, add the x-value and y-value:
[tex]x+y=26.3744+41.7114=68.0858[/tex]
I hope this is correct o_o
Related Questions
Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.
Answers
Answer:
Step-by-step explanation:
Common difference is -9.
t_1 = 2
t_n = t_1 - (n-1)9
= t_1 - (9n - 9)
= 2 - (9n - 9)
= 11 - 9n
2. Find 3 rational number between:
1) -5 and -6 2) ( -1/7) and (1/8)
i need steps
explanation also pls guys
Answers
Step-by-step explanation:
between -5 and -62
-7,-10,-60...so..on
between -1/7 and 1/8
Multiply any number by number with both the numbers but it should be multiplied by both the numbers:
for example:
-1/7×3/3= -3/21 ; 1/8×3/3= 3/24
So,
-2/21,2/24,1/24
hope it helps
Answer problem below
Answers
9514 1404 393
Answer:
17.078 square units
Step-by-step explanation:
The area of a segment is given by the formula ...
A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians
The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.
Then the segment area is ...
A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units
Add.
(-2+6x3 – 3x_) + (4x3 – 5 + x²)
Express the answer in standard form.
Enter your answer in the box.
Answers
14+x+x^2
Find the midpoint of the segment with the following endpoints.
(-8, 7) and (0,1)
Answers
Answer:
(-4,4)
Step-by-step explanation:
To find the x coordinate of the midpoints, add the x coordinates of the endpoints and divide by 2
(-8+0)/2 = -8/2 = -4
To find the y coordinate of the midpoints, add the y coordinates of the endpoints and divide by 2
( 7+1)/2 = 8/2 =4
(-4,4)
need some help with this
Answers
Answer:
A horizontal line has a slope of zero
Step-by-step explanation:
Let’s start by some examples!
We’re going to use two points that identify that a horizontal line has a slope of zero
Two points will be: (7, 4) & (7, -6)
Then use the Slope-Formula to identify the slope
Slope = change in y/change in x
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 4)/(7 - 7)
Slope = -10/0
Slope = 0
Therefore, a horizontal line has a slope of zero
Answer:
Zero (0)Step-by-step explanation:
Horizontal lines have no steepness at all because any calculation the slope of line means dividing zero by another number to the answer is always zero
A table is made using the following two patterns.
Pattern 2: Starting number: 5, Rule: Multiply by 3
1
Pattern y: Starting number: 20, Rule: Multiply by
2
Complete the table for the given patterns.
C
y
5
20
Answers
Answer:
x y
5 20
15 10
45 5
Step-by-step explanation:
Pattern x:
Start with 5.
Multiply by 3: 5 * 3 = 15
Multiply by 3: 15 * 3 = 45
Pattern x:
Start with 20.
Multiply by 1/2: 20 * 1/2 = 10
Multiply by 1/2: 10 * 1/2 = 5
x y
5 20
15 10
45 5
what is 13.5/10 simplified
Answers
Answer:
27/20
Step-by-step explanation:
[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]
Insert the missing number.
4
6 9 14
23
40
?
138
266
Answers
Answer: The missing number is 73
Step-by-step explanation:
Given:
4, 6, 9, 14, 23, 40, ?, 138, 266
Solve:
First, we try arithmetic patterns.
6 - 4 = 2
9 - 6 = 3
14 - 9 = 5
23 - 14 = 9
40 - 23 = 17
Clearly, there aren't arithmetic patterns.
Then, try through multiplication, exponents, and combination.
Finally, the pattern is multiplied by 2 on each number, then subtract 2 starting with 4 and add 1 for each increasing number.
4×2-2=6
6×2-3=9
9×2-4=14
As it goes on, the missing number would be:
40×2-7=73
Hope this helps!! :)
Please let me know if you have any questions
-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answers
Answer:
0.5013415404
Step-by-step explanation:
The circumference of a circle is 16πw⁴.
Derive an expression for the area in terms of pi and w
Answers
Answer:
A = Pi (8 w**4)**2
Step-by-step explanation:
C = 16 Pi w**4 (given)
C = 2 Pi R (stand forula)
So then find R in terms of w by settting C = C from above
2 Pi r = 16 Pi w**4
2R = 16 w**4
R = 8 w**4
SO
A = Pi R**2
A = Pi (8 w**4)**2
30 points please help
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answers
Answer:
With the formula of lwh/3 the answer is 305.37
Step-by-step explanation:
l×w×h /3 =305.37
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Find the third angle of a triangle if two of its angles are equal to:
25 degrees and 80 degrees
and
25 degrees and 120 degrees
Answers
Answer:
60 degrees
Step-by-step explanation:
Answer:
75 degrees, 35 degrees
Step-by-step explanation:
a. Adding 25 degrees and 80 degrees yields 105 degrees. The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.
b. Adding 25 degrees and 120 degrees yields 145 degrees. The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.
Write an example of an equation for an exponential growth function
Answers
Answer:
f(x) = 2^x
Step-by-step explanation:
Find the value of the variable (x) to the nearest tenth.
Answers
Answer:
I think its ten
Step-by-step explanation:
find the missing side. Round it to the nearest tenth.
Answers
Answer:
19.1
Step-by-step explanation:
Answer:
x ≈ 19.1
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{x}[/tex] ( multiply both sides by x )
x × cos33° = 16 ( divide both sides by cos33° )
x = [tex]\frac{16}{cos33}[/tex] ≈ 19.1 ( to the nearest tenth )
Find the total surface area of this square based
pyramid.
10 in
5 in
Answers
Answer:
125in
Step-by-step explanation:
Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...
A = (1/2)bh
A = (1/2)(5 in)(10 in) = 25 in²
The square base has an area given by the formula ...
A = s² . . . . . where s is the side length
A = (5 in)² = 25 in²
The total area is the sum of the areas of the 4 faces and the base:
total area = 4 × (area of 1 face) + (area of base)
total area = 4 × (25 in²) + 25 in²
total area = 125 in²
divide 12by8 and 4by3
Answers
This...ik what mean is I'm just trying to find what the original numbers would be?
Answers
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
17.5
Explanation 17×5 is five but 2×5 is seven so 7×10 is 10
Viết phương trình đường thẳng biết
a) vuông góc với đường thẳng x+2y=1 và đi qua A(1;2)
b) đi qua gốc toạ độ và đi qua điểm M (-1;3)
Answers
Answer:
Step-by-step explanation:
a) 2x - y = 0
This is the recursive formula for a geometric sequence:
f(1)=8,000
f(n)=1/2(n − 1), for n > 2
What is the fifth term in the sequence?
Answers
Answer:
Step-by-step explanation:
f(1) = 8000
f(2) = 1/2(n - 1)
f(2) = 1/2(2 - 1)
f(2) = 1/2 Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.
Answer:
f(5) = 500
Step-by-step explanation:
Using the recursive rule and f(1) = 8000 , then
f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000
f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000
f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000
f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x
Answers
Answer:
x + ×-4 > or =104
X> or =54
am I right please ?
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x
Solution :x + x - 4 = 1042x - 4 = 1042x = 108x = 108/2 x = 54Hence, the possible value for x is 54
Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
Answers
Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?
Thank you!
Answers
Answer:
$1.05 per yard
Step-by-step explanation:
5.25 ÷ 5 = 1.05
Answer:
$1.05 per yard.
Step-by-step explanation:
find unit rate; (cost / quantity)
5.25 / 5 = 1.05
John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p in the novel.
Find the total number of pages in the novel.
Answers
Answer: 441 pages
Step-by-step explanation:
[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]
True or False:
4x and 4x2 are like terms
Answers
Actually its false
In algebra 4x and 4x² are two different terms and are not like terms.
Must click thanks and mark brainliest
Check if -2 is the solution of equation 2 – x = 4x + 3
Answers
Answer:
7x the answer i think
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}[/tex]
Step-by-step explanation:
We are asked to check is -2 is the solution of the following equation.
[tex]2-x= 4x+3[/tex]
We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.
[tex]2- (-2) = 4(-2)+3[/tex]
Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Let's start with the left side.
[tex]2+2= 4(-2)+3 \\[/tex]
[tex]4= 4(-2)+3[/tex]
Now solve the right side. Remember to multiply first.
[tex]4= -8+3[/tex]
[tex]4= -5[/tex]
[tex]4\neq -5[/tex]
4 is not equal to -5, so -2 is not the solution for this equation.
Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.
Answers
Answer:
your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)
Step-by-step explanation:
The exponential function gotten from the table is given by y = 650(1.045)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multipliers.
Let y represent the bacteria population after x hours.
The class started out with 650 bacteria cells.
a = 650Growth rate = 4.5%
b = 100% + 4.5% = 104.5% = 1.045The exponential function gotten from the table is given by y = 650(1.045)ˣ
After 30 hours:
y = 650(1.045)³⁰ = 2434Find out more on exponential function at: https://brainly.com/question/12940982
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answers
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
what is the decrease of a right angle pls help i suck at math NVM ITS 90
Answers
Answer: 90 degrees
Step-by-step explanation:
