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3 years ago

Which is greater, 1 5/8 or 1 2/3 how can you be sure?

2 answers:

8 0

Lets get these into improper fractions.

1*8 + 5 = 8+5 = 13

13/8

1*3 + 2 = 3+2 = 5

5/3

Now divide

13/8 = 1.625
5/3 = 1.6666

1 2/3 is larger

aleksley [76]3 years ago

5 0

1 5/8 is greater because if you multiply 8*1+5. It equals 13/8

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What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?

snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle $\theta$ that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

$v_x = -2\\v_y = -3$

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

$tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}$

However, since we are in the 3rd quadrant, the actual angle is:

$\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}$

So now we can find the cosine of the angle, which will be negative:

$cos \theta = cos(236.3^{\circ})=-0.555$

7 0

3 years ago

Which expression is equivalent to (5^-2)(5^-1) A. -1/125 B. -1/5 C.1/125 D.1/5

alexandr402 [8]

Answer:is 5 ^ -2 ????

Step-by-step explanation:

8 0

2 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Westkost [7]

Y=1 1/4(1.25)x +9, add 8x to each side and then divide each side by 6

3 0

3 years ago

What is the range of the function y = x ^2?

VikaD [51]

Range: [0, ∞), {y|0 ≤ y}

3 0

3 years ago

There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that th

kifflom [539]

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

5 0

3 years ago