Answer:66.9 meters
Step-by-step explanation:
tan 18/1=x/201\
20tan18=x
201 tan 18=x
x=65.308858...
65.308858...+1.63= 66.938858...
≈ 66.9 meters tall
The height of the skyscrapers is 66.9 meters.
Given
From her eye, which stands 1.63 meters above the ground, Samantha measures the angle of elevation to the top of a prominent skyscraper to be 18°.
If she is standing at a horizontal distance of 201 meters from the base of the skyscraper,
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.
Then,
The height of the skyscrapers is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}[/tex]
Substitute the values in the formula
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\rm Tan18=\dfrac{x}{201}\\\\x = tan18\times 201\\\\x=65.30[/tex]
Therefore,
The height of the skyscraper is;
= 65.30 + 1.63 = 66.9
Hence, the height of the skyscrapers is 66.9 meters.
To know more about the angle of elevation click the link given below.
brainly.com/question/12992313
Arnold bought 5 1/2 yds of lumber and uses 3 ft 8 inches to build a bird house. How many
inches of lumber is left.
A) 1.7 inches
B) 154 inches
C) 162 inches
Answer:
A) 1.7 inches of lumber is left.
What is the value of x ?
Answer:
What is the value of x?
Whenever we have a problem to solve we assume the unknown quantity(or value to be identified) as x. This is just a convention followed in algebra by using a variable to denote the unknown quantity and then arrive at the solution.
What is the value of X?
What's the value of X?
X + X = X, what is the value of X?
What is the value of x ? How can I find it?
Do you know the value of x?
Value of X can be any numerical value or anything but depends solely on your question .But I find no question ok lets take an example .
If an equation is given ,
X+2=4
=> X=4–2
=>X=2
We X's value as 2 .
Now another ,
X + Y = 5 , 2X + 5Y = 10
Now taking first equation
X = 5-Y ………………………..(1)
Now taking second equation
X= 10–5Y/2…………………(2)
Now,
2(5-Y) = 10–5Y
=> 10–2Y = 10–5Y
=> 2Y = 5Y
Y has no value here because this equation not correctly represented .
Hence ,
We conclude the value of X varies with equation .
Thank You ,
Answer:
28.61258...
Step-by-step explanation:
Don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
Can someone help me please
Given:
The figure of a right angle triangle with legs a and 7, and hypotenuse c.
The measure of angle opposite to leg 7 is 30^\circ.
To find:
All the missing measures for the triangle.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
[tex]30^\circ+90^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]120^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]\text{Missing angle}=180^\circ-120^\circ[/tex]
[tex]\text{Missing angle}=60^\circ[/tex]
In a right angle triangle ,
[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin (30^\circ)=\dfrac{7}{c}[/tex]
[tex]\dfrac{1}{2}=\dfrac{7}{c}[/tex]
[tex]c=7\times 2[/tex]
[tex]c=14[/tex]
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (30^\circ)=\dfrac{7}{a}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{7}{a}[/tex]
[tex]a=7\times \sqrt{3}[/tex]
[tex]a=7\sqrt{3}[/tex]
Therefore, the measure of the missing angle is 60 degrees. Side "a" has a length of 14 units and side "c" has a length of [tex]7\sqrt{3}[/tex] units.
Can someone help me with this? please
9514 1404 393
Answer:
(30, 72, 78)
Step-by-step explanation:
When testing a number of triples to see if they are Pythagorean triples, it can be convenient to let a spreadsheet do the math. The attachment shows us the triple at lower left (30, 72, 78) is a Pythagorean triple. That is, the sum of the squares of the smaller two numbers is the square of the larger, so they can form a right triangle.
__
You may recognize these numbers have the ratios 5:12:13, the ratios of an often-used triple.
The value of StartRoot 52 EndRoot. is between which two integers?
5 and 6
6 and 7
7 and 8
8 and 9
===============================================
Explanation:
When you list out the perfect squares, notice that 49 and 64 are on that list.
These are values we focus on because 49 < 52 < 64
We'll apply the square root to all three sides
[tex]49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\[/tex]
This shows that [tex]\sqrt{52}[/tex] is between 7 and 8
A calculator helps confirm this
[tex]\sqrt{52} \approx 7.2111\\\\[/tex]
help ASAP please plz
24. Ninety-four percent of NCSU transfers feel that their college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 NCSU transfers. We are interested in the number that feel that their college adequately prepared them to handle upper division coursework at their transfer university. Find the probability that more than half felt that they were prepa
Answer:
The answer is "[tex]0.99999340657 \sim 1[/tex]".
Step-by-step explanation:
[tex]Sucess \ probability \ (p) = 94\% \ or\ 0.94\\\\Sample\ numbers\ n = 14\\[/tex]
Using formula:
[tex]P(X=r)= ^n C_r \times p^r \times (1-p)^{n-r}[/tex]
Let
[tex]\to r=8,9,10,11,12,13 \ or\ 14\\\\[/tex]
Substituting the value for all r:
[tex]P(X=8)= 0.00008540547\\\\P(X=9)= 0.00089201264\\\\P(X=10)= 0.00698743233\\\\P(X=11)= 0.03980719025\\\\P(X=12)= 0.15591149513\\\\P(X=13)= 0.37578668058\\\\P(X=14)= 0.42052319017\\[/tex]
Therefore,
[tex]P(X>7)= P(X=8)+P(X=9)+....P(X=14)\\\\= 0.99999340657 \sim 1.[/tex]
Which of the following shows the correct order?
5497,0.75,
0{}=c075 <
° 0,75–1.2
(23<3<0,75
Answer:
The last one, (1/2)^2 < 2/3 < 0.75
Step-by-step explanation:
So lets try to put each number in the same form, and see what their values are.
Lets start with (1/2)^2
This is squaring the 1 and 2 in 1/2. 1^2 is 1. 2^2 is 4. So its now:
1/4
Lets look at the others:
2/3
Lets just give it a common denominator. To do this, lets find the lowest number that both 3(from 2/3) and 4(from 1/4) go into. This is also known as the LCM.
This will be 12.
Since 3(from 2/3) goes into 12 4 times, we multipy both numerator and denominator of 2/3 by 4:
4*2=8, 3*4=12:
8/12
Since 4(from 1/4) goes into 12 3 times, we multiply both the numerator and denominator by 3:
1*3=3, 4*3=12:
3/12
So lets just go over what we know so far:
(1/2)^2 = 3/12
2/3 = 8/12
Now lets find our last value:
0.75
When converted into fraction form, we will get:
3/4
We already have a LCM, which is 12, that goes into this.
The denominator goes into 12 3 times, so again, we multiply numerator and denominator in this:
3*3=9, 4*3=12:
9/12
So:
(1/2)^2 = 3/12, 2/3 = 8/12, and 0.75 = 9/12
3/12 is smaller than 8/12, and 8/12 is smaller than 9/12. This can be written as:
3/12 < 8/12 < 9/12
And this basically means that:
(1/2)^2 < 2/3 < 0.75
This is the last answer in your answer list.
Hope this helps!
Which expression is equivalent to 250 + 150 ?
Answer:
if 25c + 15d = 0, then d = -25/15c
Step-by-step explan
just yes, that
Find cos(A+B), given sinA=35 and cosB=−12/13 and both A and B are in π2<θ<π
Answer:
[tex] \cos(A + B) = \cos A \cos B - \sin A \sin \: B \\ but : \cos \: A = \sqrt{1 - ({ \frac{3}{5} })^{2} } = \frac{4}{5} \\ : \sin B = \sqrt{1 - {( \frac{ - 12}{13} })^{2} } = \frac{5}{13} \\ \therefore \cos(A + B) = ( \frac{4}{5} )( \frac{ - 21}{13} ) - ( \frac{3}{5} )( \frac{5}{13} ) \\ = \frac{ - 84}{65} - \frac{3}{13} \\ = \frac{ - 99}{65} \\ = - 1.52[/tex]
Which of the following is the rule for the dilation below?
Group of answer choices
(x,y)⟶(x+2,y+2)
(x,y)⟶(3x,3y)
(x,y)⟶(2x,2y)
None of these
(x,y)⟶(12x,12y)
Answer:
I'm not sure if you have the question quite right. Whenever you multiply x and y by something, it is a dilation. So 3 of those are dilations. If you add or subtract something from x, it is a translation.
Hope that helps.
Step-by-step explanation:
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold
Answer:
Brand A
Step-by-step explanation:
Because it has the most returns, therefore, it is the brand that is most likely to be returned.
Answer: Brand B
Step-by-step explanation:
use ratios for each brand to find the probability of each being returned
Suppose 54% of the registered voters in a country are Democrats. If a sample of 770 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 52%? Round your answer to four decimal places.
Answer:
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose 54% of the registered voters in a country are Democrats. Sample of 770.
This means that:
[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]
What is the probability that the sample proportion of Democrats will be greater than 52%?
This is 1 subtracted by the p-value of Z when X = 0.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a p-value of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Line s is the perpendicular bisector of JK. If line s intersects JK at point L
which of the following statements must be true?
Answer:
You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.
Step-by-step explanation:
All expressions equivalent to 4(2+x):
Answer and Step-by-step explanation:
8 + 4x -- Distributed the 4 to the 2 and x.
2(4 + 2x) -- Taking out the 2 from the 8 and 4x, instead of the 4.
These are the answers.
#teamtrees #PAW (Plant And Water)
Several logs are stored in a pile with 22 logs on the bottom layer, 21 on the second layer, 20 on the
third layer, and so on. If the top layer has one log, how many logs are in the pile?
Answer:
[22 x 21] / 2=231 or "c"
Step-by-step explanation:
1. Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
Find the surface area of the prism.
7 mm
4 mm
5 mm
Answer:
Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.
Step-by-step explanation:
The formula would be:
Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)
Front & Back - 5 × 7 (multiply by 2 for front AND back)
Sides - 4 × 7 (multiply by 2 for BOTH sides)
___________________________________________________
Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)
Ex. Top & Bottom + Front & Back + Sides
Answer:
166 is the answer.
Evaluate 11/12*12/121- -6/5*70/60
Answer:
82/55
Step-by-step explanation:
11/12 * 12/121 - -6/5 * 70/60 = 1/11 + 14/10 = 1/11 + 7/5 = 5/55 + 77/55 = 82/55
The required solution of the given expression is 82/55.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve, For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
The given expression is,
= 11/12*12/121- -6/5*70/60
Simplify the above expression,
= 11/121+ 70/50
= 1/11 + 7/5
The common denominator between the two fractions is 55, so
= 5 + 77 / 55
= 82 / 55
Thus, the required solution of the given expression is 82/55.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Complete the transformations below.
Then enter the final coordinates of the figure.
A
(2,4)
B
A” ([?], [])
15,2) B" ([], [])
C" ([], 1)
C(3,1)
1) <-3, -2>
2) Dilate K = 4
Enter
will give brainliest
Answer:
[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]
[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]
[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]
[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]
-------------------------hope it helps...have a great day!!HELP TIMED
Which is equivalent to ?
Answer:
C the one with the 12
so the 3 turn into 1/3 now 1/3 times 1/4 = 1/12
now turn the 1/12 into the outside of the sign
Step-by-step explanation:
Which is the lower rate?
44 people in 4 theaters or 100 people in 10 theaters
Answer:
100 in 10 theaters. 100÷10=10 44÷4=11
If a researcher decided to set their alpha level to 0.001 instead of 0.05, they would be MORE likely to reject the null hypothesis
True or false
Write the equation in slope intercept form given
the
point and the slope
m=-4 & (-1, 3)
Answer:
Step-by-step explanation:
if a straight line with a slop [tex]m[/tex] pass through point [tex]P(x_o, y_o)[/tex] it's equation is:
[tex]y-y_o=m(x-x_o)\\\\y-(3)=-4(x-(-1))[/tex]
[tex]y=-4x-4+3\\\\y=-4x-1[/tex]
PLZZZ HELP ✨✨✨ ILL MARK BRAINIEST TYSMMM
Answer:
3
Step-by-step explanation:
She walked 4 days and 3/4 mile per day
To find the total distance, multiply the days by the number of miles per day
4 * 3/4 = 3 miles
Answer:
c 3
Step-by-step explanation:
3/4×4/1=3 u welcomeeeeeee
What is the value of the expression:5m-2n when m=3 and n=5?
9514 1404 393
Answer:
5
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
5(3) -2(5) = 15 -10 = 5
Answer:
5
Step-by-step explanation:
5m - 2n
Where, we have given ; m = 3 & n = 5
plug the value in the equation
= 5( 3 ) - 2 ( 5 ) = 15 - 10= 5please help me do this i need it
Answer:
(x+1)(3x+2) is the answer
Answer:
Step-by-step explanation:
3x^2+5x+2
3x^2+(3+2)x+2
3x^2+3x+2x+2
3x(x+1)+2(x+1)
(3x+2)(x+1)
help !!!!!!!!!!!!!!!!!!!!
Answer:
I think it's a square or maybe a rhombus?
Step-by-step explanation:
12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help
Answer:
4.54 x 1010
Hope this helps!