A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answer:

4

Step-by-step explanation:

Answer:

its 50

Step-by-step explanation:

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

To know more about triangle click on,

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

Step-by-step explanation:

b2 =5

.....................

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

Answer:

C or B

Step-by-step explanation:

Answer: i believe it would be B

Step-by-step explanation: Basically the graph points keep moving up.

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

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Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

Answer:

C. The relationship between the quantities is: add 25.

Step-by-step explanation:

1x = 25y,

2x = 25 + 25 = 50y

3x = 50 + 25 = 75y

4x = 75 + 25 = 100y

Note:

As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

Answer:

i think its 13/45

Step-by-step explanation:

Answer:

11 ft 3 in

Step-by-step explanation:

The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.

Answer:

Step-by-step explanation:

the diagonal is the longest so use Pythagoras

c^2 =a^2 + b^2

c^2=4^2+8^2

c^2=16+64

c =[tex]\sqrt{80}[/tex]

c = 8.944 ft

m<1:51, m<2:39, m<3:90

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

Answer:

21 6

7 2

14 4

Step-by-step explanation:

not sure |•-•|

Answer:

2/3

Step-by-step explanation:

Answer:

216*64/8=1728....

Step-by-step explanation:

12³ is the appropriate answer

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Answer:

4 + 6m = 70

Step-by-step explanation:

4 is the basket

6m is the total weight of mandarins

70 is total weight

Answer
A is the answer

Answer:

true

Step-by-step explanation:

the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place

I agree...................

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

Answer:

A real solution in algebra is simply a solution to an equation that is a real number.

for example

If y>0, then x2 = y has two real solution or roots. x = ±√y

If y=0, then x2 = y has one real solution.

Answer:

4

Step-by-step explanation:

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

3 cm and 1.75 cm

Step-by-step explanation:

the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50