Rewrite the radical expression as an expression with a raſional exponent.

1<br> The perimeter of a square is 40 yards. What is its area?

Makovka662 [10]

Answer:

100 yds^2

Step-by-step explanation:

To find the area of a square, we need to know the length of one side of the square. Since the perimeter is 4 times the length of one side, or 4s, and since 4s = 40 yds, s must be 10 yds.

Then the area of the square is (10 yds)^2 = 100 yds^2.

8 0

3 years ago

1.Find the area of a trapezium with parallel sides of

Nana76 [90]

Answer:

The area of the trapezium is $74.8\ cm^2$

Step-by-step explanation:

Area of a trapezium:

$\displaystyle A=\frac{b1+b2}{2}h$

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

$\displaystyle A=\frac{15+7}{2}\cdot 6.8$

$A=74.8\ cm^2$

The area of the trapezium is $74.8\ cm^2$

6 0

3 years ago

If Whitney wrote the decimal representations for the first 300 positive integer multiples of 5 and did not write any other numbe

fiasKO [112]

Answer:

201 times

Step-by-step explanation:

Since it's the first 300 positive integer multiples of 5, then the last integer will be: 300 × 5 = 1500

While the first is 5.

The sequence is like this;

5, 10, 15, 20, 25, 30, 35, .. 1500

Since for every 2 integers that are multiples of 5, 1 will include the digit 5, then it means that, number of times the unit place will have 5 is; 300/5 = 150 times

Now, between 5 and 100, the only value that has 5 in it's tense place is 50 & 55.

So for every 100 numbers, we have 2 times to write 5 in the tens place. Thus, for 1500 numbers, we will write 5 in the tens place: 1500/100 × 2 = 30 times

Now, for the hundreds place, from 500 and 600, we have 21 multiples of 5 inclusive of 500 and 600 but since we want the one that has 5 in the hundreds place, then it is 20 as they all start with 5 excluding 600.

Also, from 1000 to 1500, the only number that has 5 in its hundreds place is 1500.

Thus,total times 5 is written in the hundreds place = 21 times

Total number of times 5 is written = 150 + 30 + 21 = 201 times

5 0

3 years ago

Whoever needed help with this MATH question I got it for you...<br> Answer: F(x)= 4,800(1.5)^X

Ganezh [65]

Answer:

1+2=3

Step-by-step explanation:

8 0

3 years ago

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Which equation is a point slope form equation for line AB ?

Eduardwww [97]

Answer:

Answer choice D:

y - 6 = 2(x - 5)

Step-by-step explanation:

This question is basically asking you to find the point-slope form equation for a line going through the points (3, 2) and (5, 6).

As you can tell by the name, point-slope form needs both a point that the line goes through and the slope of the line.

You can find the slope of the line by using the slope formula since you have two points that the line goes through.

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Substitute in the points A and B into the formula.

$m=\frac{6-2}{5-3} \rightarrow\frac{4}{2} \rightarrow 2$

The slope of this line is 2.

Now since we have the slope and a point of the line, we can plug this into the point-slope form equation, which is y - y1 = m(x - x1).

We will be using one of the points (I will be using point A) to substitute the coordinates into y1 and x1, and using the slope to substitute into m.

Substitute point A's coordinates and the slope of the line into the point-slope form equation.

y - (2) = 2(x - (3))

I always put parentheses around the numbers I substitute into an equation to see exactly what is being plugged in, but now you can remove them to find your answer.

y - 2 = 2(x - 3)

Now, since none of the answer choices do not fit with the answer we have found, we can use the other point coordinate-- point B.

Substitute point B and the slope 2 into the equation.

y - (6) = 2(x - (5))

Remove the parentheses.

y - 6 = 2(x - 5)

There is an answer choice for this answer we have found, answer choice D.

By the way, both of the equations we found: y - 2 = 2(x - 3) and y - 6 = 2(x - 5) will yield the same answer in the end so don't worry if one of the points don't work if you have a multiple choice like this question.

7 0

3 years ago

Read 2 more answers