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Tomtit [17]
3 years ago
15

Solve for x, find the simplified radical & decimal

Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer:

x = 6\sqrt{2} = 8.485

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is \sqrt{2} times the length of a leg.

So, if you are given the hypotenuse, then divide its length by \sqrt{2}

x = 12/\sqrt{2} = 12\sqrt{2}/2 = 6\sqrt{2} = 8.485

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A car is driving at 100 kilometers per hour. How far does it travel in 2 seconds?
Alisiya [41]

Answer:

\frac{1}{18}\ km  or  \frac{500}{9}\ m

Step-by-step explanation:

Remember that

1 hour=3,600 seconds

so

by using proportion

\frac{100}{3,600}\frac{km}{sec} =\frac{x}{2}\frac{km}{sec} \\ \\x=2*100/3,600\\ \\x=\frac{1}{18}\ km

Convert to meters

(1,000)*(\frac{1}{18})=\frac{500}{9}\ m

6 0
3 years ago
A spinner is divided into 13 equal-sized sections, and each section is labeled with a number 1 through 13.
nikitadnepr [17]

Answer:

10/13

Step-by-step explanation:

if this is wrong, im sorry, but im pretty sure its correct

5 0
3 years ago
Anyone in connections academy algebra 2 or someone else that can help me with some problems? Here is the first: Let f(x)=2x^2+x-
sergiy2304 [10]
F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1

The domain of (f/g)(x) is all real numbers except 1.

_____
The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
3 0
3 years ago
National polls are often conducted by asking the opinions of a few thousand adults nationwide and using them to infer the opinio
Nonamiya [84]

Answer:

The population is the set of all the elements. And the sample is a subset of the population.

Step-by-step explanation:

The population is the set of all the elements. And the sample is a subset of the population.

The sample is used to make conclusions regarding the population.

A poll is conducted from the target population to determine the general opinions of the individuals of that population.

The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.

The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.

Consider the example below.

The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:

In favor = 72%

Not in favor = 28%

The population is the entire tea drinking community of a country.

In this case the sample consist of few 100 people of the tea drinking community of a country.

6 0
3 years ago
At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World Histor
o-na [289]

Answer:

  • <u><em>About 0.22</em></u>

Explanation:

There are two sets:

  • Set W of incoming seniors who took AP World History, and
  • Set E of incoming seniors who took AP European History

And there is a subset, which is the intersection of those two sets:

  • Subset W ∩ E of senior students who took both.

The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.

By property of sets:

  • S = W + E - W∩E = 175 + 36 - 33 = 178

Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:

  • 178/825 = 0.21576 ≈ 0.22
6 0
3 years ago
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