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2 years ago

Work out these questions without a calculator and showing all working out

1 answer:

3 0

1) 6÷0.2 = 30

If 6/2=3 then 6/0.2=30 as the decimal place shifts one place.

2)8÷0.1 = 80

8/1=8 so shift the decimal place over once to make 80.

3)9÷0.3 = 30

9/3=3 so shift the decimal place over once to get 30.

4)4÷0.04 = 100

4/4=1 so shift the decimal place over twice to get 100.

5)7÷0.002 = 3500

7/2=3.5 so shift the decimal place over three times to get 3500

6)0.718÷0.2 = 3.59

718/2=359 so shift the decimal over three places for the 0.718 and then back over once for the 0.2

7)0.0141÷0.003 = 4.7

141/3=47 so shift the decimal over our times for the 0.0141 and then back over three times for the 0.003

8)0.24÷0.012 = 20

24/12=2 so shift the decimal point over once twice for 0.24 then back over three times for 0.012

9)1.625÷0.0013 = 1250

1625/13=125 so shift the decimal point over three times for the 1.625 and then back four times for the 0.0013

10)47.1÷0.15 = 314

471/15=31.4 so shift the decimal point over once for the 47.1 and then back over twice for the 0.15.

Hope this helps :)

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2 years ago

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Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(−2, 5), X(2, 5), Y(4, 0),

emmasim [6.3K]

Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).

<h3>What are Diagonals of a Parallelogram?</h3>

The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is: $M(\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})$ .

A diagonal is XZ.

X(2, 5) = (x1, y1)

Z(0, 0) = (x2, y2)

Plug in the values

$M(\frac{0 + 2}{2}, \frac{0 + 5}{2})$

= (1, 2.5).

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1 year ago

Select the correct answer.

vivado [14]

Answer:

B will be the answer...

Step-by-step explanation:

The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.

To do that, we need to multiply the first equation by 5.

5 (-x − 2y = 7)

-5x − 10y = 35

Add to the second equation. Notice the x terms cancel out.

(-5x − 10y) + (5x − 6y) = 35 + (-3)

-16y = 32

Combining this new equation with the first equation from system A will get us system B.

-x − 2y = 7

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1 year ago

Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π

jolli1 [7]

The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.

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3 years ago

What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

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3 years ago