Find the height of the building to the nearest foot in the diagram below. Show work.
Answers
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacenthere,
The adjacent side is 80 ftx°=62°The opposite side is the heightTo find:
The opposite side or the heightsince we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
Related Questions
Victor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest
Answers
Answer:
185,500 -.15(185,500)=157,675
Yes he can afford it, it doesn't go over his income and it's %27 below.
If a 45-45-90° triangle's leg has a length of 18 units, what is the length of the hypotenuse?
Answers
Answer:
25.45584...
Step-by-step explanation:
The length of the hypotenuse can be found using the pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex] So in this situation, the solution can be found by solving [tex]\sqrt{2(18)^{2} }[/tex]
Question Find the circumference of the pizza. Round your answer to the nearest tenth.
Answers
Divide 2.875 x 106 by 2.3 x 103.
Answers
Answer:
1.25 x 10^3
Step-by-step explanation:
i took the test
5 pounds=. Ounces
I need Helpppp
Answers
Answer:
80 ounces
Step-by-step explanation:
1 pound is 16 ounces
5 pounds is x ounces.
[tex]\frac{1}{16}=\frac{5}{x}[/tex]
Cross multiply.
[tex]\frac{16*5}{1}=80[/tex]
The diagram shows a convex polygon. What Is The Value Of T?
Answers
Answer:
t = 9
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
sum the exterior angles and equate to 360
10t + 16t + 53 + 73 = 360 , that is
26t + 126 = 360 ( subtract 126 from both sides )
26t = 234 ( divide both sides by 26 )
t = 9
Briefly describe a predatory/prey boom bust graph.
Answers
Answer:
This can lead to cyclical patterns of predator and prey abundance, where prey increase in number and then, with abundant food, predator number increases ...
Step-by-step explanation:
The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean mu = 18 sec and standard deviation sigma = 1.2 sec. what percentage of the runners have times less than 14.4 sec? 0.15% 0.30% 0.60% 2.50%
Answers
The percentage of the runners having times less than 14.4 sec is 0.15%. Then the correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The times of all 15 years old who run a certain race are approximately normally distributed with a given mean μ = 18 sec and standard deviation σ = 1.2 sec.
The percentage of the runners has times less than 14.4 sec.
Then the z-score will be given as
[tex]\rm z = \dfrac{X - \mu}{\sigma }\\\\\\z = \dfrac{14.4 - 18}{1.2}\\\\\\z = -3[/tex]
Then the percentage will be
[tex]\rm P(z < -3)=0.00135 = 0.135 \% \approx 0.15 \%[/tex]
More about the normal distribution link is given below.
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Answer:
A. 0.15%
Step-by-step explanation:
edge 2022
Find the area of the figure below. You may assume all sides are perpendicular.
Multiple answer choice
23
19
27
17
Answers
Answer:
I think the answers is 27, just add all of those squares.
In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answers
Answer:
Quadrant III.
Step-by-step explanation:
u said the answer :3
The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.
In the first quadrant, the cot, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sine is positive.
In the third quadrant going anti-clockwise, only tangent is positive.
In the fourth quadrant going anti-clockwise, only cosine is positive.
We are told that the
sinθ < 0 and cos θ > 0.
This means that sine is negative and cosine is positive.
Looking at the rule, it is clear that the angle is in the fourth quadrant.
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coach wilson hopes to have no more than 15 turnovers during today's basketball game which inequality best represents this situation
Answers are A t is greater than or equal to 15. B is t is greater than 15. C is t less than 15. D is t less than or equal to 15
Answers
Answer:
it is D
Step-by-step explanation:
since he wants no more than 15
Answer:
D
Step-by-step explanation:
Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.
4³root192-4³root375 +2³root 24. find the simplify
Answers
Answer:
512√3 - 320√15 + 16√6
Step-by-step explanation:
4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.
A rectangle has an area of 91.7 square inches and a base of 13.1 inches. What is the height?
Answers
Answer:
7 inches
Step-by-step explanation:
The area of a rectangle A is equal to its length times its width (or base times height if you want to put it that way.)
Since A = b*h, h = A/b. Plugging in values gives you 91.7/ 13.1 = 7 inches.
So the answer is 7 inches.
Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.
Answers
This can go on forever, we can then establish the recursive formula which states:
t(n+1)=t(n)+dort(n)=t(n-1)+dExplicit formula:t(2)=t(1)+d
t(3)=t(2)+d, but t(2)=t(1)+d
t(3)=t(1)+d+d
t(3)=t(1)+2d
t(4)=t(1)+3d
t(n)=t(1)+(n-1)dWe can calculate d for these equations:t(8)=t(1)+7d67=4+7d7d=63d=9Explicit relation:t(n)=4+9(n-1)t(n)=9n-5Recursive relation:t(n)=t(n-1)+9t(500)=9(500)-5=4500-5=4495What quadrilaterals can you draw that have two sides with length 8 cm and two sides with length
5 cm?
Which of these quadrilaterals can have two sides with length
8 cm and two sides with length 5 cm?
Select all that apply.
OA. Trapezoid
OB. Square
OC. Parallelogram
OD. Rectangle
E. Kite
Answers
Answer:
C. parallelogram
D. rectangle
E. kite
Step-by-step explanation:
Cannot be the square because all sides are the same. A trapezoid can have two sides the same, but not two pairs of equal sides. The remaining shapes can have two pairs of equal length sides. see image.
For his car, Sam spent $138.96 on speakers and $142.89 on new tires. In total, how
much did Sam spend on car parts?
Answers
Answer:
Same spent $281.85 or approximately $282
Select the true statement about trend lines.
O A. A trend line should be as close as possible to the points.
O B. A trend line connects the points.
O C. A trend line goes through the first and last points.
D. A trend line is always horizontal.
SUBMIT
Answers
The statement that is true about trend lines is: A. A trend line should be as close as possible to the points.
What is a Trend Line?A trend line, which can also be called the line of best fit, is a straight line that represents the pattern of a data, which can be positive or negative.
A trend line does not necessarily need to connects all the points, but goes through some points to show the pattern. It may not even be necessary to go through any of the points, what's improtant is for the trend line to be close to as many points as possible.
Therefore, the statement that is true about trend lines is: A. A trend line should be as close as possible to the points.
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Proportional ratios : If I mow 75 % of 150 square meters of my grass, how much did I mow?
Answers
Answer:
You mowed 112.5 square meters of your grass.
Step-by-step explanation:
First, convert the percentage to a fraction.
75% = 3/4
Then to find 75% of 150, multiply 3/4 and 150.
(3/4) * 150
(3*150)/4
450/4
112.5
We can now say that 75% of 150 is 112.5, meaning you mowed 112.5 square meters of your grass.
Answer:
[tex]\huge\boxed{\sf 112.5 \ m^2\\}[/tex]
Step-by-step explanation:
Grass mowed:
= 75% of 150 m²
[Key: "of" means "to multiply" and "%" means "out of 100"]
[tex]\displaystyle = \frac{75}{100 } \times 150\\\\= \frac{75 \times 15}{10} \\\\= \frac{1125}{10} \\\\= 112.5 \ m^2\\\\\rule[225]{225}{2}[/tex]
A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D.
Answers
The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We're specified that:
The password needs to be 4 characters longIt must have 3 letters and 1 of 10 special characters.Repetition is allowed.So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).
And that 1 remaining character get 10 ways of being a special character.
So, by product rule, this choice (without ordering) can be done in:
[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.
Now, the password may look like one of those:
L, L, L, SL, L, S, LL, S, L, LS, L, L, Lwhere S shows presence of special character and L shows presence of letter.
Those 175760 ways are available for each of those four ways.
Thus, resultant number of ways this can be done is:
[tex]175760 \times 4 = 703040[/tex]
Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
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what is the square root of 6
Answers
Square Root of 6 in exponential form: (6)½ or (6)0.5
Square Root of 6 in radical form: √6
A company is designing a new cylindrical water bottle. The volume of the bottle will be 176 cm ^3. The height of the water bottle is 7.8 cm. What is the radius of the water bottle? Use 3.14 for pi
Answers
Step-by-step explanation:
volume = 176 cm³
height = 7.8
radius = ?
pi = 3.14
volume of cylinder = πr²h
176 = 3.14 × r² × 7.8
176 = 24.492 × r²
176/24.4 = r²
7.21 = r²
√7.21 = r². ( Using long division )
r = 2.69 ( approx. )
Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3. Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft. 3. What are the widths of Kyle and Myla's boxes? Explain how you know.
Answers
The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A storage box oftenly has the shape of a right rectangular prism.
We're specified that:
For Kyle's box:
Volume of the box = 12 cubic ftLength of the box = 2 ftHeight of the box = 3 ftWidth of the box = x ft (suppose)For Myla's box:
Volume of the box = 16 cubic ftLength of the box = 4 ftHeight of the box = 2 ftWidth of the box = y ft (suppose)Using the formula for volume of right rectangular prism to find the missing widths:
Case 1: For Kyle's box:[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]
Case 2: For Myla's box:[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]
Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
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How far is 75% of a 2,000-kilometre trip?
Answers
Answer:
1500
Step-by-step explanation:
Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!
PLEASE HELP ME IM NOT GOOD AT MATH
Veronica rolls a six-sided die 28 times.
How many times should she expect the die to land on an even number?
Enter your answer as a number, like this: 42
Answers
Answer:
14
Step-by-step explanation:
There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.
Of the last 16 contestants on a game show, 12 qualified for the bonus round. Considering this data, how many of the next 12 contestants would you expect to qualify for the bonus round?
Answers
Answer:
9 contestants
Step-by-step explanation:
Out of the 16 contestants, 12 of them qualified for the bonus round.
This means, that 12/16, or 75% of the contestants qualified for the bonus round.
Out of the remaining 12 contestants, I would expect (75%)(12), or 9 contestants to qualify for the next bonus round.
Let me know if this helps!
Answer:The answer is 9
Step-by-step explanation:
12 of the 16 contestants on the game show qualified. That is 75% of the contestants. Applying this to the next 12, 12 contestants x 75% is 9 qualifying contestants.
is 17/8 and 1/2 a proportional
Answers
Answer:
No
Step-by-step explanation:
If you simplify 17/8;
You'd get 2 1/8, and that is not proportional to 1/2.
Answer:NO
Step-by-step explanation:
17 is a prime number hence can't be simplified.
⇒ 17/8 can't be simplified
Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include the test point (0,0)?
Answers
Yes it does include the test point (0, 0)
equation: y > -3x -5Find y-intercept: y > -3(0) -5 y > -5Find x-intercept:y > -3x -5switch sides
-3x - 5 < 0-3x < 5Multiply both sides by -1 reverses the inequality
x > -5/3Thus, the following (0, 0) comes under the following x > -5/3 and y > -5
What is the sum product pattern? Correct answer gets BRAINLY!!!!!!!!!!!!!!!!!!!! Pls hurry!!!!!!!!!!!
Answers
The sum-product pattern
If the polynomial is of the form x 2 + b x + c x^2+bx+c x2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.
I am not sure what you meant but hopefully you meant this
Answer:
If the polynomial is of the form x2 + bx + cx²+bx+cx2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.
Step-by-step explanation:
Do mark BRAINLIEST
A baker makes 75 muffins and
puts them in boxes of 4. He fills
as many boxes as he can. How
many boxes does he need to
hold all the muffins
Answers
Answer:
19 boxes, but only 18 of them will be completely full
Step-by-step explanation:
Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.
Hopefully this helps - let me know if you have any questions!
Charles buys 60 packs of pens.
There are 14 pens in each pack.
Each pack costs £4.50.
Charles sells each pen for 70p but he only manages to sell
2
3
of the pens.
How much profit did he make?
Answers
Answer:
£122
Step-by-step explanation:
Total no. of pens :- 60× 14= 840
Cost of all pens :- £270
Total no. of pens sold :- 560
Cost of those pens :- £392
Profit = £122Charles made a profit of £122, By selling (2/3)rd of his pens.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Charles buys 60 packs of pens and there are 14 pens in each pack.
If each pack costs £4.50.
So, The Total cost is,
= £(60×4.50).
= £270.
The total number of pens is,
= (14×60).
= 840, And he manages to sell (2/3) of it which is,
= (2/3)×840.
= 560.
Now, The total money made by him is,
= 540×0.7.
= £392.
Therefore, The profit he made is £(392 - 270) = £122.
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