MATHEMATICS HIGH SCHOOL

If there were 300 accidents in 1967 and 380 in 1968, what is the percent increase?

Answers

Answer 1

Answer:

Answer:

As per the statement:

If there were 300 accidents in 1967 and 380 in 1968.

Number of accident in 1967= 300

Number of accident in 1968= 380

then;

Increase in accident = 380-300 = 80

Using formula to find the percent increase:

$\text{Increase in percent} = \frac{\text{Increase in accident}}{\text{Number of accident in 1967}} * 100$

Substitute the given values we have;

$\text{Increase in percent} = (80)/(300) * 100$

Simplify:

$\text{Increase in percent} = (80)/(3) = 26(2)/(3) \%$

Therefore, $26(2)/(3) \%$ is the percent increase

Answer 2

Answer: First find the amount of increase: 380-300=80. Then divide the amount of increase by the original amount: 80/300=.266666667. Normally you round to the tenths place: .27. Then make it a percent: .27=27%. The percent of increase is 27% :) hope this helps

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Evaluate the exact value: tan(pi/6)

Answers

pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

The exact value of tan (π/6) is 1/√3.

Given a trigonometric function,

tan (π/6)

We have to find the exact value of the given function.

We know that, the value of π/6 in degrees is 30 degrees.

So here, we have to find the value of tangent function of 30 degrees.

We know that,

Tan (x) = sin (x) / cos (x)

Here x = π/6

Tan (π/6) = sin (π/6) / cos (π/6)

= (1/2) / (√3 / 2)

= 1/√3

Hence the tan (π/6) is 1/√3.

Learn more about Tangent Functions here :

brainly.com/question/22161213

#SPJ6

Which graph represents the solution set of the system of inequalities?

Answers

Answer:

D (right-down graph)

Step-by-step explanation:

y = ax+b - linear function,

a>0 - ascending

a<0 - descending

$y=\frac13x-3$ - ascending function, because $a=\frac13$ , so a>0

$y=-3x-3$ - descending function, cause $a=-3$ , so a<0

We refuse both graphs on the left side, these are two ascending functions

$y\ge\frac13x-3$ is the area above the ascending function $y=\frac13x-3$

$y<-3x-3$ is the area below the descending function

This causes that D (right-down graph) is a correct answer

You and three friends are going to Splash Water Park. The park has three water rides. THe Coaster, Slide, and Drop cost $5.50, $2.00, and $6.50, respectively. If you have $15, then how many times could you ride the Slide?

Answers

The slide costs $2 each time you ride. $15/2 = 7.5 so you can ride it 7 times.

the answer is 7.
15÷2=7.5
you dont have enough for 8 times

The schedule of a train that travels regularly between Pune and Delhi is given below. Station Arrive Depart Pune 5:30 a.m. 6:00 a.m. Mumbai 8:15 a.m. 8:30 a.m. Surat 4:30 p.m. 5:10 p.m. Mathura 12:40 a.m. 1:25 a.m. Delhi 4:40 a.m. −− How long will it take Sam to travel from Pune to Delhi on this train? hours minutes

Answers

To determine the travel time, we need to calculate the time difference between the departure from Pune and the arrival in Delhi. According to the schedule:

Pune departure: 6:00 a.m.
Delhi arrival: 4:40 a.m.

To calculate the travel time, we can subtract the departure time from the arrival time. However, since the arrival time is the next day, we need to consider that as well. Let's break it down:

From Pune to Mumbai: 8:30 a.m. - 6:00 a.m. = 2 hours and 30 minutes
From Mumbai to Surat: 5:10 p.m. - 8:30 a.m. = 8 hours and 40 minutes
From Surat to Mathura: 1:25 a.m. - 4:30 p.m. = 11 hours and 55 minutes
From Mathura to Delhi: 4:40 a.m. (next day) - 12:40 a.m. = 4 hours

Now, let's add up the individual travel times:

2 hours 30 minutes + 8 hours 40 minutes + 11 hours 55 minutes + 4 hours = 27 hours 5 minutes

Therefore, it will take Sam approximately 27 hours and 5 minutes to travel from Pune to Delhi on this train. ⏰

Find the values of x and y if

Answers

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, then

CA = NE , that is

4x + 3 = 11 ( subtract 3 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

----------------------------------------

AR = EW, that is

4y - 12 = 10 ( add 12 to both sides )

4y = 22 ( divide both sides by 4 )

y = 5.5

-------------------------------------------

NW = x + y = 2 + 5.5 = 7.5

CR = NW = 7.5

The price of a new car is $42,500. If sales tax is 9%, then how much will you pay in total for the car?

Answers

Answer:

$46325 in total for the car

Step-by-step explanation:

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