All categories

3 years ago

Is 789 a terminating decimal

1 answer:

7 0

No, because a terminating decimal means that it does HAVE a decimal point. if it was a terminating decimal, it would look like 7.89

terminating means "end", if a number
-has a decimal point in it
-doesnt have the repeating sign over top of a number after the decimal (thats a repeating decimal)
then you can conclude that it is a terminating decimal.

You might be interested in

There are 19 figure skaters in the Olympic women's competition, including 3 Americans. The gold medal goes to first place, silve

muminat

There are three different choices for the American.

There are 16 different choices for the first non-American and 15 different choices for the other non-American.

So, there are 3 x 16 x 15 different groups.

But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).

Thus, there are 6 x 3 x 16 x 15 different results.

8 0

3 years ago

Using the Pythagorean theorem what is the distance between (5,-3) and (9,1)

polet [3.4K]

Step-by-step explanation:

Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2

=√4^2+4^2

=√16+16

=√32 units

It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2

7 0

3 years ago

The ratio of the dimensions of a rectangular patio are 4:7. if the shorter

Cerrena [4.2K]

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

$\frac{4}{7} =\frac{10}{x}$

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

$\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}$

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: $w*l$

So we can plug our dimensions into the formula: $10*17.5=175$

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: $2(w+l)$

We can plug our dimensions into the formula: $2(10+17.5)=55$

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

4 0

3 years ago

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

$$ PS = \frac{4}{3} x$

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x$

$TQ=PQ-PT$

$TQ=3x -x=2x$

Triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

$$\frac{PS}{SR} =\frac{PT}{TQ}$

$$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}$

Do cross multiplication, we get

$$ PS \times 2x=x \times \frac{8}{3} x$

Divide by 2x on both sides, we get

$$ PS = \frac{4}{3} x$

4 0

3 years ago

What is the length of a kite string that is 6 meters above and 9 meters away from where it is being held? Round to the nearest t

ivann1987 [24]

Answer:

10.8 meters

Step-by-step explanation:

This situation forms a right triangle, where the length of the kite string is the hypotenuse, the distance from where it is held is the long leg, and the height is the short leg.

Use the pythagorean theorem to solve for c, the length of the kite string.

a² + b² = c²

6² + 9² = c²

36 + 81 = c²

117 = c²

10.8 = c

So, the length of the kite string is 10.8 meters

7 0

3 years ago