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garri49 [273]
3 years ago
14

If 448 is rounded to 450 and 450 is rounded to 500 does that mean 448 is rounded to 500 too?

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

NO

Step-by-step explanation:

Since you are rounding to a numbers in the 100s you need to find the closest multiple of 100 to 448, this would be 400 since the difference between 448 and 400 is 48 while the difference between 500 and 448 is 52 and 48<52

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5. To get to the library from his house, Robert biked 6 kilometers due east and then
AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

  • The two shorter segments are the two legs, and
  • The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}.

The length of the round-trip will equal to the sum of the length of the three segments: \rm 6\;km + 8\;km + 10\;km = 24\;km.

5 0
3 years ago
Given f(x)=1/x+5 and g(x)=x-2
vladimir1956 [14]

For this case we have the following functions:

f (x) = \frac {1} {x + 5}\\g (x) = x-2

We must find f (g (x)). So:

f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}

Finally we have to:

f (g (x)) = \frac {1} {x + 3}

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

3 0
3 years ago
Write your answer in simplest radical form​
liubo4ka [24]

Answer:

x = 2 yd

Step-by-step explanation:

Angles of 45 degreees = two congruent legs

for the Pythagorean theorem

2x^2 = 8

x^2 = 4

x = 2

5 0
2 years ago
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David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
xxTIMURxx [149]

Answer:

40/9

Step-by-step explanation:

Use the work formula, \frac{1}{A} + \frac{1}{B} = \frac{1}{T}, where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

\frac{1}{10} + \frac{1}{8} = \frac{1}{T}

Find the least common denominator, which is 40.

\frac{4}{40} + \frac{5}{40} = \frac{1}{T}

\frac{9}{40} = \frac{1}{T}

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

3 0
3 years ago
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I WILL GIVE YOU 5 STARS AND BRAINERLEST ANDCA LIKE IF U ANSWER THIS
ASHA 777 [7]

Answer: x=7

Step-by-step explanation:

3x=21

21 divided by 3 is 7

so x equals 7

5 0
3 years ago
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