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4 years ago

Cheyenne drove 3,000 miles in 75 hours. At this rate, how long will it take her to drive 4,000 miles?

1 answer:

8 0

First step=
we need to find time for i mile
which is
75/3000=1/40
then to find for 4000 miles we multiply that by 4000
which is 1/40x4000
cancel zeros
1/4x400
=100 hours for 4000 miles

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Write 4 hundred 16 tens 5 ones in standard form

In-s [12.5K]

565 is the correct answer

6 0

3 years ago

Read 2 more answers

Y 45° 30° N 17 I need help pls

melisa1 [442]

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H ( $Sine=\frac{opposite}{hypotenuse}$ )

C=A/H ( $Cosine=\frac{adjacent}{hypotenuse}$ )

T=O/A ( $Tangent =\frac{opposite}{adjacent}$ )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

$\frac{17}{tan(30)} = 29.44486372...$

x=29.4

Try to do y on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

4 0

3 years ago

Which sample fairly represents the population? Check all that apply. measuring the heights of every fiftieth person on the schoo

solniwko [45]

Option 1:

Measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school

Comment: this might not be a good idea for fairness as we only wish to determine average height of the boys. Taking a group of 50 people randomly, might not give us the same number of boys every time.

Option 2:

Calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment

Comment: The context doesn't seem to need a sampling. The number of players in a soccer team is considerably small. We can find exact data by asking in person.

Option 3:

Observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses

Comment: To get a more accurate result and fairer sampling, the period of observing could have been longer, for example, observing for 12 hours on that day, or an alternative is to observe at 5 pm for 7 days in a row. It could happen that no one walking down the Main street precisely at 5 pm wears glasses, or it could happen the other way around.

Option 4:

Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Comment: This sampling does fairly represent the population, although it might be an idea to scale down the sample population, i.e. every fiftieth parent.

Answer: Option 4

5 0

3 years ago

Read 2 more answers

What is the root of this equation? 2x^2 - 4x + 9 = 0

faust18 [17]

Answer:

x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

Step-by-step explanation:

Solve for x:

2 x^2 - 4 x + 9 = 0

Divide both sides by 2:

x^2 - 2 x + 9/2 = 0

Subtract 9/2 from both sides:

x^2 - 2 x = -9/2

Add 1 to both sides:

x^2 - 2 x + 1 = -7/2

Write the left hand side as a square:

(x - 1)^2 = -7/2

Take the square root of both sides:

x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

Answer: x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

4 0

4 years ago

Given an equilateral triangle that has an area of 1959 cm2. What is the length of its sides?

Nina [5.8K]

Equilateral
equi means equal
lateral means sides

all sides are equal
triangle has 3 sides

perimiter=side1+side2+side3
side1=side2=side3

area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222

legnth of each side is $2\sqrt{ \frac{3918}{ \sqrt{3} } }$ cm or about 95.12222 cm

7 0

3 years ago