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luda_lava [24]
3 years ago
5

A mile is equal to approximately 1.609 kilometers. How many kilometers is 2.25 miles? Justify your answer

Mathematics
1 answer:
ioda3 years ago
5 0
1.609(2.25) is 3.62025. Justifying: Because in 1 mile there are 1.609 kilometers, you multiply 1.609 kilometers times 2.25, to find out how much kilometers are in a mile.
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Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
Bess [88]

Answer: It is consistent as the lines are intersecting lines and it has a unique solution

Step-by-step explanation:

Since we have given two systems of equation :

We need to check whether the system of equations is consistent or inconsistent.

As we know the formula for checking the consistency :

In the first equation, we have

similarly,

In the second equation, we have

So, According to the question, we have

Therfore , it is consistent as the lines are intersecting lines and it has a unique solution.

4 0
3 years ago
What are congruent triangles?​
jolli1 [7]
Triangles that have all sides and angles the same length or degree.

Please give brainliest
4 0
3 years ago
Read 2 more answers
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
4 years ago
Find one solution for the equation. Assume that all angles involved are acute angles. tangent (3 Upper B minus 32 degrees )equal
raketka [301]

Answer:

Step-by-step explanation:

Equation given

tan(3B-32 ) = cot ( 5B +10 ) = tan [ 90 - ( 5B + 10 ) ]

tan(3B-32 ) = tan  (90 - 5B - 10 )

(3B-32 ) =  (90 - 5B - 10 )

8B = 32 + 80

B = 14° .

5 0
3 years ago
Carolyn is building a pen for a dog. The PERIMETER of the pen is 52 ft. The material is sold by the yard. It is 10.99 dollars pe
Mazyrski [523]
     We know that the fence is 52 <em>feet</em> long, but since it's sold in yards, we need to somehow convert feet to yards.
     First, we need to find a little something called a conversion factor. Basically, we need to see what we can do to get from <em>one foot</em> to <em>one yard</em>. 
Well, how many feet are there in a yard? <em><u>3.</u></em><u /><u /> So now we know that <em><u>one foot is 1/3 of a yard.</u>
</em>     
So to convert 52ft to yards, we need to divide by 3. What's 52 divided by 3? 
17.33.
Now we just need to multiply that by 10.99 so that we can find out the cost.
We get 190.45. That's your answer!

It all cost <em>$190.45
</em>
<em>Don't forget to rate this answer the Brainliest!</em><em>

</em>
8 0
4 years ago
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