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Nataly_w [17]
3 years ago
11

I WILL GIVE BRAINLIST

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

3,406.5 litres/hr

Step-by-step explanation:

The liquid is being poured at a rate of 15 gallons per minute.

1 minute = 1/60 hour

Thus, the rate can be written as:

15 gallons pet 1/60 hour

We are told that one gallon is approximately 3.785 liters.

Thus;

15 gallons = 15 × 3.785 litres = 56.775 litres.

Thus, the rate is;

56.775 litres per 1/60 hour

We want to find in litres/hr.

By proportion, we have it as;

(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr

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8 Mineral Hardness Common object Diamond 10 Corundum 9 Topaz Quartz 7 Feldspar 6 Steel file (6.5) Apatite 5 Glass (5.5) Fluorite
adoni [48]

Answer:

feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.

5 0
2 years ago
An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location i
Alexandra [31]
<h3>Answer: D) 1692 miles</h3>

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

  1. Plot point A and make that the home base. Plot point D directly south of point A. I'm skipping B and C because those will be used to form the triangle later.
  2. Imagine you are standing at point A and looking south at point D. Turn 46 degrees toward the east direction (this is what the notation "bearing of S 46° E" means). Then move 550 miles from A to land on point B. This is the location where the plane makes its first turn.
  3. Plot the points E and F, which are north and south of point B.
  4. Imagine we are at point B and looking directly south at point F. Turn 55 degrees toward the west, which is due to the "S 55° W" and then move 483 miles to arrive at point C. This is the plane's location where it turns around to go back to home base.

The diagram below shows all of this visually summarized. We have the segments

  • AB = 550 miles
  • BC = 483 miles
  • AC = x miles

And we have these angles

  • Angle DAB = 46 degrees and Angle ABE = 46 degrees (blue)
  • Angle ABC = 79 degrees (red)
  • Angle ACB = 55 degrees and Angle FBC = 55 degrees (green)

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

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

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

  • A = 46 degrees
  • B = 79 degrees
  • C = 55 degrees

The sides opposite the angles are

  • a = 483 (opposite angle A)
  • b = x (opposite angle B)
  • c = 550 (opposite angle C)

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

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

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

3 0
2 years ago
The weights of 40 students were recorded. If the 75th percentile of
RUDIKE [14]
In the given question, there are numerous information's already provided. It is important to note then down first. With the help of those given information's the required answer can be easily reached.
Percentage of students that weighed 140 pounds = 75 percent
Then
Percentage of students that weighed more than 140 pounds = (100 - 75) percent
                                                                                                  = 25 percent
Total number of students that were weighed = 40 students
Total number of students that weighed more than 140 pounds = (25/100) * 40
                                                                                                    = (40/4) students
                                                                                                    = 10 students
So the number of students that weighed more than 140 pounds is 10. So the correct option in regards to the given question is option "1".
7 0
3 years ago
Find the sum.
Strike441 [17]

You are gonna use the distributive property.

4(2.5g - 4) + 3(1.2g - 2)

So you are going to multiply 4 with everything inside the first set of parenthesis and your gonna multiply 3 with everything insides the second set of parenthesis.

4 x 2.5g - 4 x 4 + 3 x 1.2g - 3 x 2

10g - 16 + 3.6g - 6

You wanna combine like terms:

10 - 3.6g + 16 - 6

6.4g + 10

You answer is 6.4g + 10.

Hope this Helps!!

6 0
3 years ago
Subtract 37/55-32/55
lana66690 [7]
The answer would be 5/55 because if you subtract 32 from 37 you would end up with 5 and because the denominator was the same you keep the denominator the same.
5 0
3 years ago
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