In the adjoining figure, ABCD is an isosceles trapezium in which angle BCD= 2x and angle ABC=3x. Find all the angles of the trapezium.

It will take 0.556 seconds for an echo to reach one's ears

From the question, we are to determine how long it would take an echo to reach one's ears

From the formula,

[tex]Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}[/tex]

NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance

From the given information,

Distance = 92.0 m

NOTE: Speed of sound in air at 0 °C ≅ 331 m/s

Putting the parameters into the formula, we get

[tex]331 = \frac{2 \times 92.0}{Time}[/tex]

[tex]Time = \frac{2 \times 92.0}{331}[/tex]

Time = 0.556 secs

Hence, it will take 0.556 seconds for an echo to reach one's ears.

Learn more on Calculating the time to hear an echo here: https://brainly.com/question/16676723

#SPJ1

Answer:

[tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]

Step-by-step explanation:

First determine whether it is a sine function or a cosine function. Since

sin(x) = 0 at x = 0 and we see indeed that the value of the function is 0 at x = 0 it must be a sine function

The general equation of a sine function is [tex]a sinbx[/tex]

where a is the amplitude. The amplitude is one-half the difference between the lowest and highest values in the graph.From the graph we can see that the highest value is 3/4 and lowest is -3/4 so the amplitude = 1/2 (3/4 + 3/4) = 3/4

If the amplitude were positive, the function would be increasing at (0,0) and going up to its amplitude value. However we can see that the function is decreasing at (0,0 ) and goes down to -3/4. Therefore the amplitude a has a negative sign so a = -3/4

To compute b, note that the period of the function ie where it finishes a full cycle is 3π since the function at that x value repeats itself. The relationship between b and the period is 2π/b = 3π in this particular case

This gives b = 2/3

So a = -3/4, b = 2/3 and the equation is [tex]y = -\frac{3}{4} sin(\frac{2}{3}x)[/tex]

Answer:

-2.5

Step-by-step explanation:

To find x, first find y.

In a triangle, all the angles add up to 180. So we can create the equation:

45+55+y=180
100+y=180
y=80

Since x and y are vertical angles, that mean they are equal so that means angle x is also 80.

[tex]\text{Apply Pythagorean theorem,}\\\\~~~~x^2 = 6^2 +8^2\\\\\implies x = \sqrt{6^2 +8^2}\\\\\implies x = \sqrt{36 +64}\\\\\implies x =\sqrt{100}\\\\\implies x = 10~~ \text{units.}[/tex]

Answer:

27 cubic millimeters

Step-by-step explanation:

Remember that a cube's surface area is [tex]SA=6s^2[/tex] where [tex]s[/tex] is any side length of the cube.

Hence, by solving [tex]54=6s^2[/tex], we find that the side length of a cube is 3 millimeters.

This means that the volume of the cube is [tex]V=s^3=3^3=27mm^3[/tex]

Answer:

The right answer is 15t times 2.

The garden club earns 15 dollars per hour

t is the hours

A generous donor doubles their earnings

Double means times 2

Step-by-step explanation:

Answer:

199 text messages (i think lol)

Step-by-step explanation:

First, you need to see how much it costs to send one text message. In this scenario, it's 5 cents each text. So then you need to calculate how many texts she sent if she spent 9.95 with the equation 9.95/0.05

The vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have the equation of the hyperbola:

[tex]\rm f(x)=\dfrac{-3}{x-1} -1[/tex]

The asymptotes will be

Vertical asymptote:        x -1 = 0 ⇒ x = 1

Horizontal asymptote:   y + 1= 0 ⇒ y = -1

Thus, the vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ1

Answer:

V= 400

Step-by-step explanation:

1/3×(area of the base)×(h)

10*10= 100

1/3(100)(12)

=400

Answer:

c

Step-by-step explanation:

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

7g - 6 = -20

Add 6 to both sides

7g = -14

Divide both sides by 7
g = -2

answer: g = -2

Answer:

-2

Step-by-step explanation:

7 negative 2's equals negative 14, minus 6 equals negative 20.

Answer:

Move all terms that don't contain y to the right side and solve.y=4−6x/5

Step-by-step explanation:

Answer:

A. x = 5 and x = 6

Step-by-step explanation:

What are zeroes?

Zeroes are simply the x intercepts of a function or the coordinates where the function crosses the x axis

Finding the zeroes.

By looking at the graph, we can say that the function crosses the x axis at (5,0) and (6,0).

This means the x intercepts / zeroes are at x = 5 and x = 6 so the answer is A

Answer:

y = 1.8x, where time is the independent variable, x, and distance is the dependent variable.

Step-by-step explanation:

The independent variable is along the x-axis.

The dependent variable is along the y-axis.

Therefore,

Equation of the line

To find the equation of the line, define two points on the line:

Use the slope formula to find the slope (m) of the line:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-0}{5-0}=1.8[/tex]

From inspection of the graph, the y-intercept is at (0, 0).

Point-slope form of a linear equation:  [tex]y = mx + b[/tex]

Substitute the found slope and y-intercept into the formula to create the equation of the line:

[tex]\implies y=1.8x+0[/tex]

[tex]\implies y=1.8x[/tex]

Conclusion

y = 1.8x, where time is the independent variable, x, and distance is the dependent variable.

Answer:

Simplify (0%)

.

O A. 6

O B.

01

6

O C. 64

O D. 616

Step-by-step explanation:

Answer:

GCF(2y²z ​, 8yz²) = 2yz

Step-by-step explanation:

2y²z = (2yz) × y

8yz² = (2yz) × 4z

then

GCF(2y²z ​, 8yz²) = 2yz

Answer:

B) [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Tan= Opposite/Adjacent

HJK = RST

Tan H = Tan R

Tan H = 5 (Opposite) / 12 (Adjacent)

So...

Tan R= 5/12

Answer:

$16

Step-by-step explanation:

You would just multuply the amount of time and the amount of money it costs.

Answer:

$1

Step-by-step explanation:

4 divided by 4 is 1 like the other person said. You can give them brainliest.

Hope It Helps

2 teachers for 29 students

hope it helps...!!!

Answer:

29 students

Step-by-step explanation:

Hello!

When expressed that the ratio of Teachers to Students is 2:29, the ratio is in the format Teachers: Students.

That means, for every 2 teachers, there are 29 students.

Ratio:

2(teachers): 29(students)

There are 29 students for 2 teachers.

We can also find the number of students for 4 teachers by simply multiplying both sides by 2

A ratio can be expressed as a fraction : [tex]x:y = \frac xy[/tex]

Answer: 637 m²

Step-by-step explanation:

   We need to find the area of four triangles and one square.

   The square: 169 m²

A = L²

A = (13 m)²

A = 169 m²

   The triangles: 468 m²

-> We have four congruent triangles. I will find the area of two (skipping the "divide by two" part of the formula) and multiply by two to find all four at once.

A = B * H

A = (13 m) * (18 m)

A = 234 m²

-

234 m² * 2 = 468 m²

   Total surface area:

169 m² + 468 m² = 637 m²

Answer:

x=26

Step-by-step explanation:

4x+4+4x-32=180

8x-28=180

8x=180+28

x=26

Answer:

[tex] - 8x + 6y = - 22 \\ - 4x + 4y = - 4 \\ .............................................. \\ - 12x + 10y = - 26 \\ - 2(6x - 5y) = - 26 \\ 6x - 5y = 13[/tex]

Answer:

[tex]0.09375[/tex]

Step-by-step explanation:

the total number of balls = 3 + 3 + 2 = 8

Let p be the probability of choosing a green ball, replacing it, and then choosing a yellow ball.

[tex]p=p\left( \text{choosing a green ball} \right) +p\left( \text{choosing a yellow ball} \right)[/tex]

  [tex]=\frac{2}{8} \times \frac{3}{8}[/tex]

  [tex]=\frac{6}{64}[/tex]

  [tex]= 0.09375[/tex]

Answer:

A

Step-by-step explanation:

Answer:

It is 2/27

Step-by-step explanation:

Took the test.

Answer:i think you are on the right track

Step-by-step explanation:

I am not very good at this,but i  think you have it right so far

Answer:

14.04

Step-by-step explanation:

Answer:

b) f(x) = x² - 256

Step-by-step explanation:

Since we have been given the zeros of a function, -16 and 16. We are asked to find which function truly has those zeros.

To find this, we can substitute the zeros for x in the functions to find the one that is true/correct.

A) f(x) = x² - 16

 ⇒  0 = 16² - 16          and          ⇒  0 = (-16)² - 16

 ⇒  0 = 256 - 16        and          ⇒  0 = 256 - 16

 ⇒  0 = 240 ✘          and          ⇒  0 = 240 ✘

B) f(x) = x² - 256

 ⇒  0 = 16² - 256          and          ⇒  0 = (-16)² - 256

 ⇒  0 = 256 - 256        and          ⇒  0 = 256 - 256

 ⇒  0 = 0 ✔                  and          ⇒  0 = 0 ✔

C) f(x) = x² - 32x + 256

 ⇒  0 = 16² - 32(16) + 256         and        ⇒  0 = (-16)² - 32(-16) + 256

 ⇒  0 = 256 - 512 + 256           and        ⇒  0 = 256 + 512 + 256

 ⇒  0 = 512 - 512                       and        ⇒  0 = 512 + 512

 ⇒  0 = 0 ✔                               and        ⇒  0 = 1,024 ✘

D) f(x) = x² + 32x + 256

  ⇒  0 = 16² + 32(16) + 256         and        ⇒  0 = (-16)² + 32(-16) + 256

  ⇒  0 = 256 + 512 + 256           and         ⇒  0 = 256 - 512 + 256

  ⇒  0 = 512 + 512                       and         ⇒  0 = 512 - 512

  ⇒  0 = 1,024 ✘                          and        ⇒  0 = 0 ✔

Therefore, Function B has the zeros of x = -16 and x = 16.

Learn more about finding the zeros of a function here:

brainly.com/question/18033939

brainly.com/question/27638369