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. ​

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.

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:

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

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)

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

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

true...

cus their angles are same... if you rotate the second triangle once to the left side

hope it helps...!!!

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

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

Answer:

292<298xj=158

Hope this helps!

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

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

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.

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,

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,

Learn more about the Regular Pentagon here;

https://brainly.com/question/1592456

#SPJ1

Answer:

0.3, 1/3, 35%, 0.35, 2/3

Step-by-step explanation:

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

Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.

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.

#SPJ1

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.

Answer:

5/8

Step-by-step explanation:

Area for a triangle

A=1/2bh

15/32=3/4h

5/8 = h

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

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.

Answer:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Line passes through (2, -1) and slope of 1/3

y = 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]

y = 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]

Answer:

from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children

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).

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

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

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.

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.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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]

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:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

A is correct! y=1/6x

Step-by-step explanation:

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.

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.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ1

The height of the tree is 30 times the height of the verticle stick.

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.

https://brainly.com/question/14335762

#SPJ1