Given a line with a slope of 1/7, what is the slope of any line that lies perpendicular to it?

What’s the volume of the pyramid in the diagram?

dusya [7]

The volume is 675 because when you multiply 20x15 you get 300 and when you multiply 25x15 you get 375. When you add 375+300 you get 675 as your volume.

6 0

3 years ago

A plane traveled 240 miles. The trip was with the wind. It took 3 hours. The trip back was into the wind. The trip back took 6 h

sveta [45]

Answer:

Plane speed is 60 miles/hour

Wind speed is 20 miles/hour

Step-by-step explanation:

Lets suppose the speed of the plane in still air is s and speed of the wind is w and since speed in the formula below equals speed of the plane plus the wind's speed so speed=s+w for this journey with the wind

$Speed=\frac{Distance}{Time}$

$Distance=Speed*Time$

For the first journey the trip with the wind:

$Distance=Speed*Time\\240=(s+w)(3)\\240/3=s+w\\s+w=80$

Here we got our first equation for the second equation we use the information from the second trip which was into the wind. Which means the speed here would be speed=s-w

$Distance=Speed*Time\\240=(s-w)*6\\240/6=s-w\\s-w=40$

so now we got our two equations adding both equations would result into the following:

$s+w=80\\s-w=40\\2s=120\\s=60$

so speed of the plane is 60 miles/hour put the value of s in any our two equations to calculate the wind speed, lets take the first equation:

$s+w=80\\60+w=80\\w=80-60\\w=20$

so the wind speed is 20 miles/hour

8 0

3 years ago

Which is the decimal expression 7/22

dalvyx [7]

Answer:

the answer is

0.31818181818182

6 0

3 years ago

Read 2 more answers

On her math test, Anna got I 32 questions out of 36 | questions correct. About | what percent of the questions did Anna get corr

Scilla [17]

Answer:

%88.88... and on and on

Formula Nonsense: percentage = b/l then *100 add % sign

so P= 32/36 so 0.888....*100= 88.88... so she made 88%

6 0

2 years ago

Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the t

lapo4ka [179]

The total cost of the trip Lisa wants to take over the weekend is $500.

Let the total cost of the trip be T.

Given the following data:

Savings account balance = $200

Percent of trip expenses = 40%

To determine the total cost of the trip Lisa wants to take over the weekend:

Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.

Total cost of her trip:

$\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}$

Total cost, T = $500.