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3 years ago

What is 152,909 rounded to the nearest hundred thousands

2 answers:

8 0

152,909 rounded to the nearest hundred thousands is 200,000.

Rules of rounding numbers
1) if the number being rounded off is followed by 0, 1, 2, 3, and 4, round the number down.
2) if the number being rounded off is followed by 5, 6, 7, 8, and 9, round the number down.

1 is the number on the hundred thousands place. It is followed by 5. We round 1 up to 2. Thus 2 is now in the hundred thousands place.

Alik [6]3 years ago

8 0

The answer is 200,000 because when you have 5-9 in the place value next to what your rounding to you go up a number in the place your rounding in and all the rest of the numbers behind the place value that your rounding in.

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.

saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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Explanation:

We have a triangle with these side lengths:

a = 10
b = 16
c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need $b^2 < a^2+c^2$ to be true in order for an acute triangle to happen.

So,

$b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5$

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

$c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\$

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0

2 years ago

A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?

gogolik [260]

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

$\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}$

$\text {Radius = }\sqrt{6^2 + 8^2}$

$\text {Radius = }\sqrt{100}$

$\text {Radius = }10$

Area = π (10)² = 100π = 314 units²

6 0

3 years ago

Two spinners are shown. Look at the spinners as you respond to the statements below.

spayn [35]

Answer:
A. false
B. true
C. true
D. false
step-by-step:
A: probability of spinning a 4 on spinner A is 1/4 and probability of spinning a 4 on spinner B is 1/3.
B: there are 2 fours out of 6 possible options so that makes it 2/6, simplify that, it becomes 1/3.
C: 2 and 4 are even numbers so that makes 2/4 possible on spinner A. simplify 2/4 and that becomes 1/2.
D. spinning a 3 on spinner A would make it 1/4 (already simplified). spinning a 3 on spinner B would make it 1/6 (already simplified) therefore spinner A is greater.

7 0

3 years ago

Read 2 more answers

Helphelphelphelphelp

VashaNatasha [74]

The ratio is supposed to be pennies to total amount of coins. The total amount of coins--including pennies--is 16. This can be proven by this equation:

5 + 6 + 5 = 16

Now you put the ratio together by taking the amount of pennies (5) and total amount of coins (16). Your ratio should look like this:

5:16

Hope I helped you out! ❤❤

4 0

3 years ago

Nikolai has a jar filled with 120 marbles. he has 72 red marbles, 17 blue marbles, 13 green marbles, and 18 purple marbles. what

asambeis [7]

To find the probability of both of these occurring, you will multiply the probability of choosing a blue marble by the probability of choosing a purple marble (with no replacement after the first one).

Probability of choosing a blue marble: 17/120
Probability of choosing a purple marble: 18/119

17/120 x 18/119 = 3/140

You will have a 3/140 chance of both of these occurring.

4 0

3 years ago