All categories

3 years ago

PLEASE HELP ON 5,6,8,9 DUE TOMORROW

Mathematics

1 answer:

Elis [28]3 years ago

6 0

5. You have correctly shown the decimal equivalents of the numbers in selection C. Those are in order. The decimal equivalents for selection D would be

... -1.33, -2.00, -1.00, -0.08, -0.07

The first of these is greater than the second of these, so this list is not in order. The correct choice is D.

6. √169 = 13, the only rational number in the lot. The correct choice is C.

8. All the numbers except the ones with radicals are rational numbers, so the appropriate choice is the one that lists the radicals only: G.

9. You have correctly plotted the points. When you connect them to make a geometric figure, you get a triangle that is 6 units high and 6 units wide. Its area will be half that of a square that is 6×6, so is 18 square units.

_____

The formula for the area of a triangle is

... A = (1/2)bh

where b is the base length of the triangle (6 units), and h is the height (6 units). Filling in the numbers you have, this is

... A = (1/2)·6·6 = 18 . . . . square units.

When you have a plot like this on a graph, it is usually pretty easy to see that the triangle area is half the area of a rectangle (or square) with the same height and width.

You might be interested in

David sold a bicycle at a profit of 10% had he sold it for rupees 150 more, the profit would have been 15%. find the cost price

dlinn [17]

Answer:

The cost price was 3,000 rupees.

Step-by-step explanation:

A profit is an excess of the cost price you bought the bicycle at.

The original cost price as a decimal = 1.0

10% profit in excess of original cost as a decimal = 1+ 0.10 = 1.10

15% profit in excess of original cost as a decimal = 1+0.15= 1.15

And if he sold the bicycle at 150rupees more, he makes 15% profit;

The differential percentage = 15%-10% = 5% or 0.05

If 5% = 150 rupees

then 100% = (100*150)/5

= 15,000/5

= 3,000 rupees

To verify;

At 15% profit it would be = 3000*1.15 =3,450 rupees

At 10% profit , it would be = 3000* 1.10 = 3,300 rupees

Difference = 3,450 -3,300 = 150 rupees

Therefore, the cost price was 3,000 rupees.

3 0

3 years ago

What is the solution set for -4m ≥ 96? m ≥ -384 m ≤ -24 m ≤ -384 m ≥ -24

Sophie [7]

Answer:

Step-by-step explanation:

-4m≥96

-m≥24

m≤-24

7 0

3 years ago

(1) When Margaret Hamilton graduated from college with a mathematics degree in 1958, she intended to enroll in a graduate study

Anastaziya [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 2. check your answer by noting that the curve is

professor190 [17]

Ok, here we go. Pay attention. The formula for the arc length is $AL= \int\limits^b_a { \sqrt{1+( \frac{dy}{dx})^2 } } \, dx$ . That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is $AL= \int\limits^2_1 { \sqrt{1+4^2} } \, dx$ (that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of $\sqrt{17}$ . Integrating that we have $AL= \sqrt{17}x$ from -1 to 2. $2 \sqrt{17}-(-1 \sqrt{17} )$ gives us $3 \sqrt{17}$ . Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly: $d= \sqrt{(2-(-1))^2+(3-(-9))^2}$ which simplifies to $d= \sqrt{9+144}= \sqrt{153}$ . The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with $3 \sqrt{17}$ . And there you go!

5 0

3 years ago

What is 180 divided by 20,835

grigory [225]

$\frac{180}{20,835} = \frac{4}{463} = 0.00863930885$

3 0

4 years ago

Read 2 more answers