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3 years ago

What is the answer is this problem?

Mathematics

1 answer:

USPshnik [31]3 years ago

8 0

Answer:

First One = 0.000045 Second One = 0.024

Step-by-step explanation:

When 10 has a negative power, move the decimal to the right the number of times the power is. For example, 10^-5 is moved 5 places to the LEFT, so it is 0.000045.

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A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour

Reil [10]

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

7 0

3 years ago

To divide a figure (such as an angle or line segment) in half is to __it

Darina [25.2K]

Answer: bisect

<u>Step-by-step explanation:</u>

A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.

An angle that is bisected is divided into 2 congruent (equal) angles.

4 0

3 years ago

Multiply 3 1/2 x 3 1/2 what is it ???

Andrej [43]

Answer:

12 1/4

Step-by-step explanation:

convert fractionj into decimals then cvert product into fraction

6 0

3 years ago

Read 2 more answers

Can you guys help and put these in order?

PtichkaEL [24]

-3, -2.5, -3/4, 1/4, 3.1, 16/5, 6. I can’t see the other numbers, so it’s just these

7 0

3 years ago

If BC= 48 cm and sin

erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

The opposite leg to angle A is of 48 cm.

sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

$x^2 + 48^2 = 50^2$

$x^2 = \sqrt{50^2 - 48^2}$

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0

2 years ago