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3 years ago

Need help please explain w answer if you can.

Mathematics

1 answer:

uranmaximum [27]3 years ago

7 0

Start by looking at the components of the line, basically the legs if you were to make it a right triangle.
components = < x1 - x2, y1 - y2 >
< 10-5 , 12-4 > = < 5 , 8 >
So the line starts at A and goes right 5 then up 8 to point B.

We need a point 3:1 distance which means that if X is our new point, length AX is 3 times length of XB.

3+1 = 4 parts total
Point X will be 3/4 distance

3/4 the components
< 5(3/4) , 8(3/4) > = < 15/4 , 6 >
Add these to point A to go right and up to the new point X.

(5 + 15/4 , 4 + 6) = (35/4 , 10)
35/4 = 8 3/4
so the first one is correct.

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Idk what to do.And this is due tomorrow

Flauer [41]

Answer:

<u>Question 1:</u>

5 pints per hour

<u>Question 2:</u>

480 tons per day

<u>Question 3:</u>

12 miles per gallon of gasoline

<u />

Step-by-step explanation:

<u>Question 1:</u>

<h2><em>In the morning;</em></h2>

A farm worker packed 3 pints of grapes every 4 minutes.

1 minute = $\frac{1}{60}$ hours

Packing rate in pints per hour = 3 pints ÷ $\frac{4}{60}$ hours = 45 pints per hour

<h2><em>In the afternoon;</em></h2>

She packed 2 pints of grapes every 3 minutes.

Packing rate in pints per hour = 2 pints ÷ $\frac{3}{60}$ hours = 40 pints per hour.

The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour

<u>Question 2:</u>

A recycling plant processes an average of $\frac{1}{3}$ tons of glass each minute.

1 hour = 60 minutes

The number of tons of glass processed in 1 hour is:

$\frac{1}{3}$ × 60 = 20 tons of glass in 1 hour.

1 day = 24 hours

Number of tons of glass processed in a day = 20 tons × 24 = 480 tons

<u>Question 3:</u>

A vehicle uses 1 $\frac{1}{8}$ gallons of gasoline to travel 13 $\frac{1}{2}$ miles.

Per 1 gallon of gasoline the vehicle will travel:

1 × 13 $\frac{1}{2}$ ÷ 1 $\frac{1}{8}$ = 12 miles

5 0

2 years ago

Find three consecutive even numbers whose sum is 1884.

Scilla [17]

Answer:

smallest number=626

middle number=628

larger number=630

Step-by-step explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884 [combine like terms]

3n+6=1884 [subtract both sides by 6]

3n=1878 [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.

5 0

3 years ago

Helloo!!! please help me on this !!!!

ivann1987 [24]

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

$\mathfrak{10x - 18 = 8x}$