7. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively as shown in Figure 3. Find the height of the transmission tower.
Answers
Answer:
Let DC be the tower and BC be the building. Then,
∠CAB=45
o
,∠DAB=60
o
,BC=20 m
Let height of the tower, DC=h m.
In right △ABC,
tan45 o = AB/BC
1=20/AB
AB=20m
In right∆ABD,
tan 60°=BD/AB
√3=h+20/20
h=20(√3-1)m
Related Questions
Amanda invited 5 friends over for a sleepover. They decided to bake cupcakes. By the end of the night they had baked 6 dozen cupcakes. If the girls planned to use a third of the cupcakes for a bake sale and wanted to split the rest equally, how many would each girl receive?
Answers
reasoning: a dozen is 12 so 6 times 12 is 72 and a third of that is 24 so i did 24 divided by 5 (24/5) and got 4.8
Answer:
8
Step-by-step explanation:
After saving 1/3 of 6 dozen for the bake sale, the girls had 2/3 of 6 dozen left to split between them. Each of the 6 girls would receive 2/3 of 1 dozen, or 12×2/3 = 8 cupcakes.
PLEASE HELPPPPPP TYSMMMM
Answers
Answer:
292<298xj=158
Hope this helps!
Write in the missing numbers.
ordering intergers
Answers
Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.
How are integers ordered?Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.
Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.
If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.
An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:
= -800, -4, 1, 5, 52, 86
Find out more on ordering integers at https://brainly.com/question/12399107.
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The triangles shown below must be congruent.
Answers
true...
cus their angles are same... if you rotate the second triangle once to the left side
hope it helps...!!!
An auditorium has a seating capacity of 1500. For an upcoming event community event theater play, tickets cost $4 for adults and $2 for children. At last years play, twice as many children attended as did adults. If the attendance at this year's play has the same ratio, what expression would represent the best estimate of the total amount of money from ticket sales when the auditorium is filled to capacity ?
Answers
Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
help me iiwh this quesrion
Answers
Answer:
3 is $8 and 14 is about 18%
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
since the annual rate is 2% and you wait 6 months which is half a year
you'd get 1% of 800 so it'd be 8.
So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answers
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.
8 is 80% OF WHAT NUMBER?
155 is 25% of WHAT NUMBER?
Answers
Answer:
8 is 80% of 10
155 is 25% of 465
Step-by-step explanation:
the first one is easy, and the second one, 25% is 1/4, so if you multiply 155 by 4, you get 465
Koda is making birdhouses for a park.
The instructions tell him how many of each wooden shape is needed for one birdhouse.
Complete each statement to adjust the number of shapes for each new situation if he follows the given instructions.
Answers
Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
What is regular Pentagon?Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.
Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.
For the 8 birdhouse, the number of trapezoids she need is,
Trapezoids=2 x 8
Trapezoids=16
For the 3 birdhouse, the number of rectangle she need is,
Rectangle =4 x 3
Rectangle=12
The number of birdhouse when she use 4 square,
Bird house=4 x 1
Bird house=4
Thus, the number of triangle for 4 birdhouse is,
Triangle=2 x 4
Triangle=8
Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
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Please answer quickly! 50 POINTS! Brainliest!
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
What do the x-intercepts of the graph represent? (5 points)
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 20 larvae in the water at 0 degrees Celsius.
The water had maximum larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 10 larvae in the water at 0 degrees Celsius.
Answers
Answer:
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
Step-by-step explanation:
We are given the function, [tex]y = -2x^{2} + 20x + 400[/tex]
where
x = temperature of water (in degrees)
y = number of insect larvae in water
What do the x-intercepts of the graph represent?
The x - intercept is when y = 0, and y is the number of insect larvae in the water. So this means there is NO insect larvae in the water.
[tex]y = -2x^{2} + 20x + 400\\0 = -2x^{2} + 20x + 400\\quadratic \ formula:\\\frac{-20 + \sqrt{20x^{2} -4(-2)(400)}}{2(-2)} \\\frac{-20 +\- 60}{-4} \\\frac{-20 + 60}{-4} = -10\\\frac{-20 - 60}{-4} = 20[/tex]
Hence, when there was no larvae in the water, the water temperature was 20 and -10
Через какую из данных точек проходит график функции y=6/x?
А) (3;3) Б) (2;3) В) (2;6) Г) (6;0)
Answers
Answer:
Б) (2,3)
Step-by-step explanation:
Заметь [tex]y=\frac{6}{x}\rightarrow 3=\frac{6}{2}[/tex]. Поскольку это утверждение верно, то ваш ответ Б) (2,3).
(-2,-4)
Oy=(x + 2)² +4
Oy=(x - 2)²-4
Oy=-(x - 2)²-4
Oy=-(x + 2)² - 4
Answers
Answer:
[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constantIf [tex]a > 0[/tex], the parabola opens upwards
If [tex]a < 0[/tex], the parabola opens downwards
From inspection of the graph, the vertex (turning point) is (-2, -4).
Substituting the vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-4)[/tex]
[tex]\implies y=a(x+2)^2-4[/tex]
As the parabola opens downwards, [tex]a < 0[/tex]:
[tex]\implies y=-a(x+2)^2-4[/tex]
The curve intercepts the y-axis at (0, -8).
Inputting this into the equation and solving for [tex]a[/tex]:
[tex]\implies -8=-a(0+2)^2-4[/tex]
[tex]\implies -4=-4a[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the graph is:
[tex]y=-(x+2)^2-4[/tex]
Answer:
y = -(x + 2)² - 4
Step-by-step explanation:
Vertex form of an equation :
y = a(x - h)² + k
Vertex = (h, k)Substituting the coordinates of the vertex in the equation :
y = (x -(-2))² + (-4)
y = (x + 2)² - 4
y = -(x + 2)² - 4 (as the graph opens downwards)
tim has 4 quarters and 5 pennies. how many cents does tim have?
Answers
Answer: $1.05
Step-by-step explanation:
quarters= 25 cents
4 x 25=100 cents
pennies=1 cent
5 x 1 = 5 cents
100+5=$1.05 or 105 cents
The area of the triangle below is 15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
Answers
Answer:
5/8
Step-by-step explanation:
Area for a triangle
A=1/2bh
15/32=3/4h
5/8 = h
I'll give brainiest to the first person to respond BUT only if the answer is correct
Answers
~Senpi Boi here~
Step-by-step explanation:
The one that each point had been reflected is Option E I believe, only because both the points (7, 1) and (7, -1) kinda reflect on each other when shown on the graph.
(Hope this helps!)
8. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
Answers
The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
What is the probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.
Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,
[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]
The probability of population to be not O-negative,
[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]
The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,
[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]
Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
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Show work please!!!!! HELPPPP
Answers
L•W•H
Big Rectangular: 10•14•6
Small Rectangular: 1•2•3
Surface Area:
2(L•W) + 2(L•H) + 2(W•H)
Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)
11.
30 cm
30 cm
26 cm
Find the area
Answers
Answer:
30 x 30 x 26 = 23,400 area= 23,400
Step-by-step explanation: hope it helps
Answer:
i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM
Step-by-step explanation:
sorry caps
Attendance at a state park throughout the year is found to be periodic and can be modeled by a
sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September
to a high of approximately 2,000,000 visitors in March. If t is the month number, where t = 1 is January, and N(t) is the attendance, in millions, of visitors, which of the functions can be used to
model this behavior?
N(t) = 1.5 sin(t) + 0.5
N(t) = 0.5 sin(t) +1.5
N(t) = 2 sin ( ₹t) – 1
N(t) 0.5 sin(2t) + 1.5
Answers
The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
We know the sine function is:
y = Asin(w + c) + s
Here:
A is amplitude
w is angular velocity,
s is vertical Displacement,
c = phase angle
A = (2000000 - 1000000) /2 = 500,000
w = 2π/T
T = 12
w = 2π/12 = π/6
s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000
500,000sin(π/6 + 0) + 1500000
500000sin(π/6)+1500000
or
0.5sin(πt/6) + 1.5
Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
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Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3
Answers
Answer:
0.3, 1/3, 35%, 0.35, 2/3
Step-by-step explanation:
Father brought a carton of fruits. Total fruits in it are 150. 15 percent of them are rotten. Find the number of fresh mangoes
Answers
Answer: 127
Step-by-step explanation:
150 fruits times 15% = 22.5 rotten fruits
150 total -22.5 rotten=127.5 fres fruits
You can't have half a fruit so I chose to round down to 127
A bird bath that is 4 ft. tall casts a shadow that is 6ft. long. find the length of the shadow that 6 ft. tent casts.
a) 9ft.
b) 3ft.
c) 10ft.
d) 4ft.
Answers
Answer:
a) 9 ft.
Step-by-step explanation:
The bath and the tent along with their shadows and the ground make 2 similar triangles. So:
4/6 = 6/x
4x = 36
x = 9 ft.
Which results only in a horizontal compression of y = StartFraction 1 Over x EndFraction by a factor of 6? y = StartFraction 1 Over 6 x EndFraction y = negative StartFraction 1 Over 6 x EndFraction y = StartFraction 6 Over x EndFraction y = negative StartFraction 6 Over x EndFraction.
Answers
Using translation concepts, it is found that an horizontal compression of [tex]y = \frac{1}{x}[/tex] is found in the following function:
[tex]y = \frac{1}{6x}[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In a function, a horizontal compression is found when x in the domain is multiplied by a constant greater than 1, that is, g(x) = f(ax), a > 1.
Hence, for [tex]y = \frac{1}{x}[/tex], the pure horizontal compression is:
[tex]y = \frac{1}{6x}[/tex].More can be learned about translation concepts at https://brainly.com/question/4521517
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Answer:
A is correct! y=1/6x
Step-by-step explanation:
the volume of a cube is 729ft^3. if the dimension are divided in thirds , what is the new volume? A. 27ft^3 B. 2ft^3 C. 8ft^3 D. 16ft^3
Answers
Answer:
A. 27 ft^3
Step-by-step explanation:
cube root of 729 is
9
1/3 of 9 is
3
volume of a cube with an edge of 3 is
3^3 =
27
Convert the rectangular coordinates (–6, 6) to polar coordinates.
Answers
Answer:
6 sqrt 2 , 3pi / 4
Step-by-step explanation:
Find magnitude sqrt ( (-6)^2 + 6^2 ) = sqrt (72) = 6 sqrt 2
Then the since the x and y are = magnitude and quadrant II
it is 3 pi/4
6 sqrt (2) , 3pi/ 4
a vertical meter stick casts a shadow of 0. 4 meters. if a tree casts a shadow of 12 meters at the same time, how tall is the tree?
Answers
The height of the tree is 30 times the height of the verticle stick.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A vertical meter stick casts a shadow of 0. 4 meters.
If a tree casts a shadow of 12 meters at the same time.
Let x be the height of the stick and y be the height of the tree. Then we have
y/x = 12/0.4
y/x = 30
y = 30x
The height of the tree is 30 times the height of the verticle stick.
More about the ratio and the proportion link is given below.
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help________________
Answers
Answer:
302cm³
Step-by-step explanation:
The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)
Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]
Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)
We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]
Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]
Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)
That is the answer
- Kan Academy Advance
please helpp
2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)
(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________
(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)
Answers
Answer:
a)
[tex] \frac{2}{5} [/tex]
b)
Step-by-step explanation:
slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 9}{ - 2 - 8} [/tex]
=
[tex] \frac{2}{5} [/tex]
b) using point (-2,4)
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]
Now distribute
[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]
add 4 to each side
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
can use the other point given if you want
Please help me with my math please?
Answers
Answer:
y = y coordinate
m = slope
x = x coordinate
b = y intercept
Line passes through (2, -1) and slope of 1/3
Step 1y = mx + b, Identify: x = 2, y = -1, slope: [tex]\sf \frac{1}{3}[/tex]
insert following values
[tex]\rightarrow \sf -1 = \dfrac{1}{3} (2) + b[/tex]
multiply
[tex]\rightarrow \sf -1 = \dfrac{2}{3} + b[/tex]
switch sides
[tex]\rightarrow \sf b = -1 - \dfrac{2}{3}[/tex]
subtract
[tex]\sf \rightarrow b = -\dfrac{5}{3}[/tex]
convert to mixed fraction
[tex]\sf \rightarrow b = -1\dfrac{2}{3}[/tex]
Step 2y = mx + b, m = [tex]\sf \frac{1}{3}[/tex], b = [tex]-1\frac{2}{3}[/tex]
insert following values
[tex]\rightarrow \sf y = \dfrac{1}{3} x -1\dfrac{2}{3}[/tex]
Round 425 to the nearest ten and to the nearest hundred
Answers
Answer:
400
Step-by-step explanation:
425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.
Answer:
nearest tenth: 430
nearest hundredth: 400
Step-by-step explanation:
5 and above rounds up hense 430 and below 50 rounds down hense 400