Two buildings on opposite sides of a street are 40 meters apart. From the top of the shorter building, which is 176 meters high, the angle of elevation to the top of the taller building is 13 degrees. Find the height of the taller building to the nearest meter. *
Answers
Answer:
185 m
Step-by-step explanation:
From the solution diagram shown :
The height of the taller building is :
(Height of shorter building + h)
Height of shorter building is given as 176 m
The height, h can be obtained using Pythagoras :
Tan θ = opposite / Adjacent
Tan 13 = h / 40
h = tan 13 * 40
h = 9.235 m
Hence, height of taller building :
176 m + 9.235 m
= 185.235 m
= 185 m
Related Questions
Please help! And also with a detail explanation so I can solve the next one on my own !
Answers
Answer:
sin D = 0.25
Step-by-step explanation:
If ∠E = 90°, it means that the triangle is a right angle triangle.
Thus, hypotenuse will be the longest side which will be DC = 65
Since we are given CE = 16 and ED = 63, I have attached a diagram showing this triangle.
From the diagram, since we are looking for sin ∠D, we can say that;
sin D = opposite/hypotenuse
Now, opposite = CE = 16
Hypotenuse = CD = 65
Thus;
sin D = 16/65
sin D = 0.2462
Approximating to the nearest hundredth gives;
sin D = 0.25
Please help me with this
Answers
Answer: [tex]a_{n}=4n+-3[/tex]
Step-by-step explanation:
The way arithmetic sequences are usually written is:
[tex]a_{n} =a_{1} +(n-1)d[/tex]
[tex]a_{n}[/tex] is the the term you are looking for. It has an n because we aren't looking for a specific one.
[tex]a_{1}[/tex] is the first term of the sequence. In this case that is 1.
n is the term position. Meaning if you wanted to find the fifth term you'd sub 5 in for n.
d is the common difference. In this case it is 4.
Now we can sub these values in.
[tex]a_{n} =1 +(n-1)4[/tex]
We can simplify the right part of the equation.
[tex]a_{n} =1 +(n-1)4\\a_{n} =1 +(4)(n)-(4)(1)\\a_{n}=1+4n-4\\a_{n}=4n+1-4\\a_{n}=4n+-3[/tex]
Can anyone help me please I really need help.
Answers
Answer:
what do u need help with
Step-by-step explanation:
Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds? Henry's design would result in a larger flower bed because its area would be 2,500 square feet. Liani's design would result in a larger flower bed because its area would be 2,500 square feet. Henry's and Liani's designs would result in flower beds with the same area. Henry's and Liani's designs are not possible with the given amount of wood.
Answers
Answer:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Step-by-step explanation:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
B. Liani's design would result in a larger flower bed because its area would be 2,500 square feet.
C. Henry's and Liani's designs would result in flower beds with the same area.
D. Henry's and Liani's designs are not possible with the given amount of wood.
Length of wood = 200 feet
Henry's square bed design = 200 feet / 4
= 50 feet
Note: A square has 4 equal sides, hence, the division by 4
Each side of the square bed = 50 feet
Area of the square bed = length ²
= (50 feet)²
= 2,500 square feet
Liani rectangular bed design
Length = 55 feet
Width = 45 feet
Note: adding of 2 length and 2 width = 200 feet
That is,
2(55) + 2(45)
= 110 + 90
= 200 feet of wood
Area of Liani rectangular bed design = length × width
= 55 feet × 45 feet
= 2,475 square feet
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Answer:
A. Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
Step-by-step explanation: magic
AIR TRAVEL - an airplane traveling at an altitude of 5,900m changes its altitude by - 2,900m. What does this change in altitude mean ?
Answers
Answer:
Step-by-step explanation:
altitude -2900 m means its height decreases by 2900 m or it comes down by 2900 m
Please help me! It is very important that I get this done but I am beyond confused!
Brandt invests an initial amount P of $180 into an account that pays interest at 2.5% compounded continuously. Carter invests $120 into an account that pays 4.8% compounded continuously. The balance of each investment, A, is calculated using the equation A=Peⁿ. The graph shows their investments over time.
When will their investments reach the same balance?
a. Their investments will never reach the
same balance.
b. Their investments will reach the same
value between years 15 and 16.
c. Their investments will reach the same
value between years 16 and 17.
d. Their investments will reach the same
value between years 17 and 18.
e. Their investments will reach the same
value between years 18 and 19.
Answers
Answer:
Step-by-step explanation:
i think it should be d 16 and 17
How many quarters does Annie have
A.35
B.49
C.3
D.7
Answers
Explanation:
Sarah has 21 more quarters than Annie.
As shown, It says That Sarah has 28 quarters.
So, if Sarah has 21 more, it means you add 21 + 28
Resulting in 49.
Hope this helps you! If available please give me a Branliest. It is much appreciated!
- Mathhotdog •~•
Answer:
n = 7
Step-by-step explanation:
sarah = m
annie = n
sarah has 21 more than annie
m = 21+n
given sarah has 28 quareters
m = 21 + n
28 = 21 + n
28 - 21 = n
7 = n
annie has 7 quarters.
Which quadratic function is represented by the graph? 3 O y = 0.5(x + 2)2 + 4 O y = 0.5(x + 3)2 -0.5 O y = 0.5(x - 3)2 -0.5 O y = 0.5(x - 2)2 + 4 2 (20) 1(4.0) 2 6 (3,-0.5) 2 X
Answers
Answer:
No solution is possible from the given information.
Step-by-step explanation:
This isn't Hogwarts.
If you don't include the graph we can't magically see it.
Help I have to submit it
Answers
Hope that helps
Thank you to the person that is helping me. I don’t understand this one at all..
Answers
Please help me ASAP tysm
Answers
Answer:
?
Step-by-step explanation:
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answers
Answer:
(-infinity, 9]
Step-by-step explanation:
The range of the function is 'all real numbers less than or equal to 9.' We are told that the vertex is at (-2, 9) and that the curve opens downward, which indicates that 9 is the maximum function value, and that the function can take on any value less than or equal to 9.
The domain is 'the set of all real numbers,' which is true for any polynomial.
What is the perimeter of a trapezoid?Units
Answers
Perimeter =add up all sides.
Perimeter = 5+1+5+9
=20 units
Solve 16x + 8 ≥ 12x + 20
Answers
Answer:
x ≥ 4
Step-by-step explanation:
16x + 8 ≥ 12x + 20
Subtract 12 from both sides
4x + 8 ≥ 20
Subtract 8 from both sides
4x ≥ 16
Divide both sides by 4
x ≥ 4
please help!!!
what is the following sum?
Answers
Answer:
I think the answer is A
8x³y⁴ ³squareroot xy
Step-by-step explanation:
Mark as brainllest if it helps!!!
cuanto es 8por8por5por3
Answers
Answer:
yes
Step-by-step explanation:
Answer:192
Step-by-step explanation:
Is the product of -2x^3 + x - 5 and x^3 - 3x 4 equal to the product of x^3 - 3x - 4 and -2x^3 + x - 5? Explain your answer.
Answers
Step-by-step explanation:
hear is your answer in attachment
Help this is worth 100 points
One thousand represents three hundred fifty plus a number. Find the number.
Answers
One thousand represents three hundred fifty plus a number. So, the number will be 650.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have been given that
One thousand represents three hundred fifty plus a number.
Let the number be x, so
The expression will be as
1000 = 350 + x
x = 1000 - 350
x = 650
Learn more about the addition;
https://brainly.com/question/17163840
#SPJ2
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3
Answers
Answer:
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
Step-by-step explanation:
[tex]f(x)=x^5-3x^3[/tex]
[tex]0=x^5-3x^3[/tex]
[tex]x^5-3x^3=0[/tex]
[tex]x^3(x^2-3)=0[/tex]
[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]
[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]
See the graph for a visual of the x-intercepts.
Megan bought beads for $9.95. She received a 10% discount. She then paid, a sales tax of 6%. How much did she pay for the beads?
Answers
9.95 - .995 = 1.00 if you round up
9.95 - .1.00 = 8.95
8.95 x .06 = .54
8.95 + .54 = $9.49 the amount she paid for the beads
Work out
m
and
c
for the line:
y
=
3
x
+
1
Answers
Answer: m=3
Step-by-step explanation:
Describe the difference between a relation and a function
Answers
Answer:
A relation can have 2 output to 1 output bt not a function
Victor draws one side of equilateral ∆PQR on the coordinate plane at points P (–9, –2) and Q (–2, –2). What are the two possible coordinates of vertex R? Round to the nearest tenth.
Answers
Answer: [tex](-5.5,4.062)\ \text{and}\ (-5.5,-8.062)[/tex]
Step-by-step explanation:
Given
The two vertices of a equilateral triangle are [tex](-9,-2)\ \text{and}\ (-2,-2)[/tex]
Suppose the third vertex is [tex](x,y)[/tex]
Side length in equilateral triangle are equal.
[tex]\Rightarrow \sqrt{\left( -2+9\right)^2+\left( -2+2\right)^2}=\sqrt{\left( x+9\right)^2+\left( y+2\right)^2}\\\text{squaring both sides}\\\\\Rightarrow 7^2=\left( x+9\right)^2+\left( y+2\right)^2\quad \ldots(i)\\\\[/tex]
Similarly,
[tex]\Rightarrow \sqrt{\left( -2+9\right)^2+\left( -2+2\right)^2}=\sqrt{\left( x+2\right)^2+\left( y+2\right)^2}\\\\\Rightarrow 7^2=\left( x+2\right)^2+\left( y+2\right)^2\quad \ldots(ii)[/tex]
Subtract (i) and (ii)
[tex]\Rightarrow \left( x+9\right)^2-\left(x+2\right)^2=7^2-7^2\\\\\Rightarrow (x+9+x+2)(x+9-x-2)=0\\\Rightarrow (2x+11)7=0\\\\\Rightarrow x=-\dfrac{11}{2}[/tex]
Insert the value of [tex]x[/tex] in equation (ii)
[tex]\Rightarrow \left(-5.5+2\right)^2+\left(y+2\right)^2=7^2\\\\\Rightarrow \left(-5.5+2\right)^2+\left(y+2\right)^2-\left(-5.5+2\right)^2=7^2-\left(-5.5+2\right)^2\\\\\Rightarrow \left(y+2\right)^2=36.75\\\\\Rightarrow y=4.06217\dots ,\:y=-8.06217[/tex]
So, two possible vertex are [tex](-5.5,4.062)\ \text{and}\ (-5.5,-8.062)[/tex]
In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the beginning of stage 2 was 5,000 kilometers per hour. Its speed at the end of Stage 2 will be 25,000 kilometers per hour.
If t is the time, in minutes, from the beginning of stage 2, which equation could be used to determine how long it will take for the speed of the rocket to reach 25,000 kilometers per hour, assuming it increases at the same rate for all of stage 2?
A.
5,000 = 25,000(0.043)t
B.
5,000 = 25,000(0.957)t
C.
25,000 = 5,000(1.043)t
D.
25,000 = 5,000(1.43)t
Answers
Solve the right triangle. Round decimal answers to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
take angle A as reference angle
using cos rule
cos A = adjacent/hypotenuse
cos A =10/15
cos A =0.66
[tex]A=cos^{-1} (0.6666)[/tex]
A=48.194
A=48.2
angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)
48.2 + angle B + 90 =180
138.2 + angle B =180
angle B =180-138.7
angle B =41.8
for BC
using pythagoras theorem
a^2 + b^2 = c^2
AC^2 + BC^2 = AB^2
10^2 + BC^2 = 15^2
100 + BC^2 = 225
BC^2 = 225-100
BC^2 = 125
[tex]BC=\sqrt{125}[/tex]
BC=5[tex]\sqrt{5}[/tex]
BC=11.2
100 POINTS HELP! THIS IS A PROJECT. NOT IN A RUSH.
Describe how to find the terms mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative!
Answers
Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
what is slop of the line that passes through the ponitss (5, -4) and (7, -4)
Answers
Answer:
The slope is 0
Step-by-step explanation:
Points on the graph:
(5, -4) and (7, -4)
Slope:
m=(y2 - y1)/(x2 - x1)
m=(-4 + 4)/(7 - 5)
m= 0/2
m=0
Based on the information marked in the diagram, ∆XYZ and ∆RST must be congruent.
A) True
B) False
Answers
Answer:
Can confirm the answer is true
Step-by-step explanation:
Just took the test
9. A parallelogram is formed by the supports
that attach a basketball backboard and rim to
the wall. The angles change as the basketball
apparatus is taken out and put away. If
ZDAB = 28º and ZADC = 7x + 26, solve for
X.
Answers
Answer:
X=18
Step-by-step explanation:
I got x=18 I don't have the work but I know it is right I have the key to a final review with that problem on it!
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 5?
Answers
Answer:
The slope is 4 and the y intercept is -5/2
Step-by-step explanation:
8x-2y = 5
Solve for y to get the equation in slope intercept form
Subtract 8x from each side
8x-8x-2y =-8x+ 5
-2y = -8x+5
Divide by -2
-2y/-2 = -8x/-2 + 5/-2
y = 4x -5/2
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept
The slope is 4 and the y intercept is -5/2
