Let h be height of building
then In ΔABC
AB/BC =tan60degree
h/100 = root 3
h= 100 root 3
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The required angle of elevation of the building is 16.7°.
Given that,
what is the angle of elevation to a building 1000 m away that is 300 m high is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
The angle of the elevation is given as,
TanФ = 300/1000
Ф = tan⁻¹(3/10)
Ф = 16.7°
Thus, the required angle of elevation of the building is 16.7°.
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1) 4+8r-6r=6+2r
2) 1-3x=-6+7-2x-x
1:-
[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]
[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]
[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]
[tex]\\ \sf \longmapsto 0=2[/tex]
[tex]\\ \sf \longmapsto r=\infty[/tex]
2:-
[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]
[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]
[tex]\\ \sf \longmapsto 0=0[/tex]
[tex]\\ \sf \longmapsto x=\infty[/tex]
Durning Saturday’s thunderstorms a total of 500 mm of rain fell in fell in 20 minutes.How many mm fell per minute
Answer
25mm of rain fell each second
Step-by-step explanation:
we know that 500 mm fell in 20 minutes
so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:
500/20 = 25
therefore, 25mm of rain fell each minute
hope this helped:)
Answer:
25 mm per minute
Step-by-step explanation:
Take the amount of rain and divide by the number of minutes
500/20
25 mm per minute
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
What is the first quartile of the data set 3,7,11,14,16,16,18,21,22,23,27?
A. 16
B. 11
C. 22
D. 14
Answer:
B. 11
Step-by-step explanation:
3 7 11 14 16 16 18 21 22 23 27
A motorist starts travelling at 2317 on a 172-km journey. At what time will he arrive at his destination given that he travels at an average speed of 48 km/h?
Answer:
i dont know
Step-by-step explanation:
ask sssniperwelperer562
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Part A: 23
Part B: 13
Part C: Median for the males
Mean for the females
Part D: The day the movie premiered
Process to arrive at the above answers
The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]
Part A: The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B: The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile
range located approximately in the middle between the max and the min
values with the median being close to the first quartile, therefore, the
mean will be a better measure of center as it will be located further from
the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
Learn more about box plots here;
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If p(x)= x⁵ + 3, then find the value of x
The formula is N×x power n-1
5x⁴+0
5x⁴
Solve the equation involving simple interest
Answer:
4%
Step-by-step explanation:
(8700 - 7500)/4 = 300
300/7500 = .04
Question 13 (5 points)
m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.
Answer:
x=19°
Step-by-step explanation:
Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.
Right angles always add up to 90°.
So, Angle 1 add Angle 2 equals 90°.
4x+9+x-14=90°
Collect the like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
9-14= -5
Form an equation:
5x-5=90°
Do inverse operations to isolate x.
90+5=95°
95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).
So, x=19°
Hope this helps :)
The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.
a1=10 and an-1+3 for n is greater than and equal to 2
Explanation:
The notation [tex]a_1 = 10[/tex] says that the first term is 10.
The notation [tex]a_n = a_{n-1}+3[/tex] is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.
first = 10second = first+3 = 10+3 = 13third = second+3 = 13+3 = 16fourth = third + 3 = 16+3 = 19This sequence is arithmetic due to the common difference d = 3.
Answer:
Step-by-step explanation:
a1=10
a_{n}=a_{n-1}+3
n=2
[tex]a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19[/tex]
One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
16
Step-by-step explanation:
First use the Pythagorean theorem a^2+b^2=c^2.
12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.
Step-by-step explanation:
using pythogoras theory
hyp^2=opp^2+adj^2
you have been given the hyp and the opp so lets make the unknown x
20^2=12^2+x^2
400 =144+x^2
make x the subject of the formula
400-144=x^2
266=x^2
x=the square root of 266
Solve for X. Geometry
Answer:
x=12
Step-by-step explanation:
LM + MN = LN
2x-16 + x-9 = 11
Combine like terms
3x-25=11
Add 25 to each side
3x-25+25 = 11+25
3x = 36
Divide by 3
3x/3=36/3
x = 12
Which transformation can NOT be used to prove that ABC is congruent to
DEF?
O A. dilation
B. rotation
C. reflection
ОО
D. translation
Answer
A. dilation
Step-by-step explanation:
if we dilate the diagram it will be enlargedd so cannot be proved as congruent
The transformation that can not be used to prove that ABC is congruent will be dilation. The correct option is A.
What is transformation?Transformation a process by which one figure, expression, or function is converted into another one of similar value. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
When the triangle is rotated its original shape and size will not change it only changes its position then the triangle will remain congruent.
When the triangle is reflected it means that its mirror image is formed then the size and shape will again remain unchanged the triangle will be congruent.
When the triangle is translated then also its size will not change only it changes its position. The triangle will be congruent.
When the triangle is dilated it means that the shape of the triangle is increased or decreased then the triangle will not be congruent when it is dilated.
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What is -15=-4m+5 equal and its two steps problems in HS
Which expression is equivalent to the given expression?
Answer:
C. 2(x-3) (x-4)
Step-by-step explanation:
From my solution
The given expression is divisible by 2 all through
so 2 is factorised and then the other expression: x²-7x+12
can be factorised as a quadratic equation
-7x is same as -3x-4x
Also, [-3 * -4 = 12]
Electric company charges Jerome $0.05 per kilowatt-hour (kWh) of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?
Answer:
720kWh
Step-by-step explanation:
36/.05=720
How would we be able to use conversions to solve this problem?
Answer:
It tells you that 1000g are in 1 kg. All you need to do is convert your 15 kg to 15000 g.
Answer:
Step-by-step explanation:
1 kg = 1000 g
15 Kg = 15 *1000 = 15000 g
7.75 g = 1 cm³
1 g = 1 ÷ 7.75 cm³
15000 g = [tex]\frac{1}{7.75}*15000 = 1935.48[/tex]
= 1935 cm³
Inner diameter = 6 cm
Inner radius = r = 6/2 = 3 cm
Outer radius = R = inner radius + thickness
R = 3 + 2 = 5 cm
Volume of cylindrical pipe = 1935 cm³
[tex]\pi h*(R +r)(R - r) = 1935\\\\3.14 * h *( 5 + 3)(5 - 3) = 1935 \\\\3.14 * h * 8 *2=1935\\\\h = \frac{1935}{3.14*8*2}\\\\h = 38.52 = 39[/tex]
h = 39 cm
х
x
320
X=
degrees.
SJSJSJSJS Ja
Answer:
122
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior agnles
32+90 =x
122 =x
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]
[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]
there are 7 socks in a bag 3 of those socks are blue what is the probability of picking a Blue sock randomly from the bag. Answer as simplified fraction of the form a/b
Answer:
3/7
Step-by-step explanation:
there are is a total of 7 socks and 3 are blue making blue socks be 3/7
I NEED HELP ASAP ITS FOR MY SCHOOL WORK AND I CANT FIGURE THIS OUT
Answer:
28.
megabyte- [tex]10^6[/tex]
terabyte- [tex]10^{12}[/tex]
gigabyte- [tex]10^9[/tex]
For [tex]10^6, 10^9, 10^{12},[/tex] and [tex]10^{15}[/tex], put the 1, and add the exponent # of 0s.
29.
The cube is 6×6×6 or 216 in. It would be 6³, because the 6 is multiplied 3 times.
30.
a. 10
b. 5120
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
Question 28
megabyte: 10⁶
terabyte: 10¹²
gigabyte: 10⁹
Question 29
6³
Question 30
a. 20
b. 5,120
Geometry, please answer question ASAP
Answer:
Yes, PQR ~ TSV with a scale of 1 : [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Yes the triangles are congruent for the statement given in option C
The scale 1 : [tex]\sqrt{3}[/tex] shows that the side lengths are proportional
PQ/TS = QR/SV
3[tex]\sqrt{3}[/tex]/6/[tex]\sqrt{3}[/tex] and that's simplified as 1/[tex]\sqrt{3}[/tex]
 Which table below matches the scatter plot?
x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5
x 2 1 8 6 7 1 4 3
y 5 9 3 2 7 6 4 5
x 3 4 6 1 7 8 1 2
y 1 2 3 4 5 6 7 8
x 3 4 6 1 7 8 1 2
y 2 1 7 1 3 5 6 4
Answer:
The first table
x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5
What is the surface area ,in square meters of the toy box
Answer:426m^2
Step-by-step explanation:
complete by using the distributive property (y+3)(y+3)(y+3)
Answer:
y^3+9y^2+27y+27
Step-by-step explanation:
Step 1: Start by understanding FOIL. First. Outer. Inner. Last.
Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.
Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.
This simplifies to y^3+9y^2+27y+27
Write 0.15 as a fraction in simplest form. 0.15 =
Step-by-step explanation:
0.15 as a Fraction in simplest form to convert 0.15 to a fraction and simplify to the lowest form.
Working:
0.15 = 15/100
So the simplest form is :
0.15 = 3/20
A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
9. what is the solution for the following question? :))
[tex]\\ \sf\longmapsto -5x+x+9=-4x+12[/tex]
[tex]\\ \sf\longmapsto -4x+9=-4x+12[/tex]
[tex]\\ \sf\longmapsto -4x+4x=12-9[/tex]
[tex]\\ \sf\longmapsto 0=3[/tex]
[tex]\\ \sf\longmapsto \Phi[/tex]
simplify
please to the end
THIS MIGHT NOT BE RIGHT CAUSE I'M SICK
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answer:
1)-4x+4
2) C
3)E
4)A
Step-by-step explanation:
Hope it helps
I need help with A-I on #1
Answer:
1a. 104
1b. 8x
1c. 13y
1d. xy
1e. 3+y
1f. x+7
1g. x-y
1h. x divided by y
1i. x+3
1j. 3x
1k. y-5
1l. 1/5y
2a. 26
2b. x+9
pls help pls pls pls pls
Answer:
B' - (3,1)
C' - (3,8)
D' - (6,-1)
Step-by-step explanation: