Which function is undefined when Theta = StartFraction pi Over 2 EndFraction radians?

Answer:

108

Step-by-step explanation:

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

[tex]V_{average} = \frac{Total \ distance }{Total \ time }[/tex]

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = [tex]\frac{96 \ mile}{12 \ m/h} = 8 \ hours[/tex]

Time taken at 12 mph = [tex]\frac{96 \ mile}{48 \ m/h} = 2 \ hours[/tex]

Average speed = [tex]\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph[/tex]

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

Check: let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

                          = 19.2 mph

Answer:

63=90-63= 27

Bye

Answer:

∠ MNQ = 40°

Step-by-step explanation:

The inscribed angle MNQ is half the measure of its intercepted arc, so

∠ MNQ = [tex]\frac{1}{2}[/tex] MQ = 0.5 × 80° = 40°

The value of the angle ∠ MNQ will be 40°. The correct option is D.

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

The inscribed angle MNQ is half the measure of its intercepted arc, so

∠ MNQ  =  ( 1 / 2 )MQ

∠ MNQ  = 0.5 × 80°

∠ MNQ = 40°

Therefore, the value of the angle ∠ MNQ will be 40°. The correct option is D.

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Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

Answer:

The answer is A. the range is the set of all real numbers

Answer:

492.205

$492

Step-by-step explanation:

2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.

The resale value of the laptop after 4 years will be approximately $492.

To calculate the resale value "b" of the item after "n" years, we need to apply the annual decrease in value to the original price "a" for each year (n). We can do this using a loop or by using a formula.

b = a x (1 - decrease rate)ⁿ

As per the question, the old value is $2050, the decrease rate is 30%, and the number of years is 4. Plugging these values into the formula gives us:

new value = $2050 x (1 - 0.30)⁴

Simplifying this expression gives us:

new value = $2050 x 0.70⁴

new value = $2050 x 0.2401

Which simplifies to:

new value = $492.205

Rounding this result to the nearest dollar gives us $492.

Therefore, the resale value of the laptop after 4 years will be approximately $492.

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Answer:

Graph U

Step-by-step explanation:

A graph is used to illustrate the relationship between variables.

For graph U:

Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.

For graph V:

Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.

For graph W:

Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.

For graph X:

Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞

For graph Y:

Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.

For graph Z:

Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞

Answer:

sin c

Step-by-step explanation:

Based on the figure, The true equations are, B. cos48° = b/c,

C. sin42° = b/c, E. tan42° = b/c and F. tan48° = a/c.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, The sum of all the interior angles in a triangle is 180°.

So, The m∠B = 180° - 90° - 48° = 42°.

Now according to reference angles, we'll obtain the trig ratios.

cos42° = a/c.

cos48° = b/c.

sin42° = b/c.

sin48° = a/c.

tan42° = b/c.

tan48° = a/c.

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Answer:

B.

[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]

Answer:

5

Step-by-step explanation:

1+2+2+3+3+3+4+5+6+6+7+7

+7+8+9 = 73

73/15 = 4.86667

you add all the numbers and divide by how many numbers there were.

so round it up and it should be 5.

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

Answer:

x ≈ 33.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin46° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × sin46° = 24 ( divide both sides by sin46° )

x = [tex]\frac{24}{sin46}[/tex] ≈ 33.4 ( to the nearest tenth )

The value of AD will be 15 cm.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

7

Step-by-step explanation:

According to the Question,

Given, There is a 2-digit number, the unit digit is 3 & The sum of its tens digit, and the unit digit is 10.

Suppose The Number is XY .

Now, We Know X+Y=10 & Y=3 .

So, X+3=10 ⇔ 7 is the number on Tens Place.

And, the Number is 73 .

Answer:

Step-by-step explanation:

Dilation

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

Answer:

120 trees

Step-by-step explanation:

4x10=40

40x3=120

120 trees will be planted

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

O si se desea un número entero:

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

Answer:

The answer is D, 200

Step-by-step explanation:

Since the formula for the volume of a rectangular prism is V = lwh, we multiple the length, width, and height together. This works for any rectangular prism.

V = lwh = 5 * 4 * 10 = 200

Answer:

200 ft3

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

64 + x = 90 ( whole part axioms )

x = 90 - 64

x = 26

Answer:

(5;1)

Step-by-step explanation:

-3 means shift to the right

Answer:

The answer is 3.583, the 3 is repeating

Step-by-step explanation:

Answer:

3.583 ,with 3 as a reapting decimal

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

Answer:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

Hope this helps!! :))