Convert the decimal below into a rational number.

Whoever answers question 19 correctly with both parts of the questions answered

diamong [38]

Let's focus on 0.7*0.8 for now.

Start by drawing a large square. Cut this figure into 10 rows and 10 columns. So this means you'll have 10*10 = 100 little squares.

Now highlight the first 7 rows. Shade in all 70 squares (7*10 = 70)
Starting on the left side, highlight the first 8 columns. You'll shade in 80 squares (8*10 = 80)

Use different colors for your highlighting or somehow indicate different shading styles. This way you can see the overlapping region. The overlapping region consists of 56 squares (7 rows, 8 columns ---> 7*8 = 56 little squares)

Each little square represents 0.01, so having 56 of them means we have 0.56

This shows that 0.7*0.8 = 0.56

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How is this different if we had 1.7*0.8? Well we can break 1.7 into 1+0.7 to have

1.7*0.8 = (1+0.7)*0.8
1.7*0.8 = (1)*0.8+(0.7)*0.8
1.7*0.8 = (1*0.8)+(0.7*0.8)

The portion (0.7*0.8) was done earlier. That result was 0.56. So we just need to compute (1*0.8), which is simply 0.8; recall that 1 times any number is that number itself.

Now simply add 0.8 to 0.56 to get 1.36

So, 1.7*0.8 = 1.36

5 0

3 years ago

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

Sophie [7]

Answer:

Step-by-step explanation:

$(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29$

6 0

3 years ago

Read 2 more answers

Taylor Swift wants to know the proportion of her fans who listened to her new single ME! within the first hour of it being relea

lara31 [8.8K]

Answer:

The parameter is the population proportion of fans who listened to her new single and has an estimated value of 90%.

Step-by-step explanation:

The parameter is a value that corresponds to a population, while an a value that corresponds to a sample is know as statistic.

She takes a sample to estimate, with a point estimate and probably with a confidence interval around this point estimate, the true proportion of fans who listened to her new single.

This is the paramater: the population proportion of fans who listened to her new single.

Its value comes from an estimation based on the sample proportion (point estimate).

The sample proportion is 90%, so we can estimate, as there is no bias, that the population proportion is also 90%.

8 0

3 years ago

⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformati

goldenfox [79]

Answer:

Whereby circle $\bigodot$ P can be obtained from circle $\bigodot$ O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, $\bigodot$ O is similar to $\bigodot$ P

Step-by-step explanation:

The given center of the circle $\bigodot$ O = (-2, 7)

The radius of $\bigodot$ O, r₁ = 5

The given center of the circle $\bigodot$ P = (12, -1)

The radius of $\bigodot$ P, r₂ = 12

The similarity transformation to prove that $\bigodot$ O and $\bigodot$ P are similar are;

a) Move circle $\bigodot$ O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle $\bigodot$ O is increased by 2.4

We then obtain $\bigodot$ O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle $\bigodot$ P

∴ Circle $\bigodot$ P can be obtained from circle $\bigodot$ O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, $\bigodot$ O is similar to $\bigodot$ P.

7 0

3 years ago

Identify the independent variable in this relationship. A person burns a total of c calories by walking m miles.

Strike441 [17]

The independent variable is M, Miles.
This is because you can walk however miles without any effect. But calories depends on how much you walked. Make sense?

7 0

3 years ago