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3 years ago

On Saturday, Alicia ran 2 miles. This was 0.3 miles farther than Henry ran. Write and solve an

Mathematics

1 answer:

olga2289 [7]3 years ago

8 0

Answer: a - 0.3.

Step-by-step explanation;

Let <em>a</em> represent the number of miles that Alicia ran. The equation will be this: a - 0.3. You will subtract 0.3 from the number of miles that Alicia ran because her amount is 0.3 miles farther than what Henry ran.

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Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$

Thus:

$\sqrt{a^2+b^2}=c$

Option A:

$\sqrt{8^2+15^2}=17$ → 17 = 17 OK!

Option B:

$\sqrt{6^2+8^2} = 10$ → 10 ≠ 12 NO

Option C:

$\sqrt{9^2+11^2} = [tex]\sqrt{202}$ [/tex] → $\sqrt{202}$ ≠ 21 NO

Option D:

$\sqrt{4^2+13^2} = \sqrt{185}$ → $\sqrt{185}$ ≠ 16 NO

3 0

3 years ago

What is a one-to-one function?

umka2103 [35]

Answer:

Step-by-step explanation:

A one to one function is a function in which an element in a domain is corresponding to the a single element in the range. That is, each element in the domain has exactly one image in the range.

To answer the question that say : What is a one-to-one function?

A function f is called a one-to-one function if it never takes on the same value twice.

Therefore the correct answer is option C.

6 0

4 years ago

The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate

liubo4ka [24]

Answer:

The total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

Step-by-step explanation:

The population of California is approximately 38,040,000.

The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

$3.804\times \:10^7+2.606\times \:10^7$

$\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41$

Thus, the total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

4 0

4 years ago

HELP! GEOMETRY

Ivan

Step-by-step explanation:

Volume is cubed. so it would be 6^3

so 6*6*6 = 216

3 0

3 years ago

What is the ratio 9 to 81

aliya0001 [1]

The ratio is 9:81 which is equivalent to 1:9

3 0

3 years ago