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3 years ago

A rectangle has length 4 yards more than its width. The area of the rectangle is 96 square yards. Find the

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Answer:

Length = 12

Width = 8

Step-by-step explanation:

Area of a Rectangle = l x w

12 x 8 = 96

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What is the reciprocal Consider the expression (5) of the base? Write your answer as a fraction, using the / symbol, like this:

lora16 [44]

Reciprocal of a fraction<h2>Answer</h2>

8/7

<h2>Explanation</h2>

In this case, the base is 7/8 and the exponent is -4.

In order to find the reciprocal of a fraction we just have to flip it upside down:

That is why the answer is 8/7.

3 0

1 year ago

What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are

sveticcg [70]

8:

A line can intersect a circle twice. So, two lines intersect one circle 4 times. Two lines can intersect two circles 8 times.

Hope this helps!

3 0

3 years ago

Which set of ordered pairs could be generated by an exponential function?

olasank [31]

Answer:

The correct option is (1,2), (0, 1), (1, 2), (2, 4).

Step-by-step explanation:

Consider the provided ordered pairs.

The exponential function is in the form of $f(x)=ab^x$

Where, a is the initial amount $a\neq 0$ and b is the rate of change b>0, $b\neq 1$

The graph of each exponential function passes through the point (0, a),

$f(0)=a\cdot b^0 = a$ and $a\neq 0$

Therefore, Option 1 and 2 and 4 are false.

Hence, the correct option is (1,2), (0, 1), (1, 2), (2, 4).

6 0

3 years ago

There are only about 400,000 African elephants left in the world today. They are

kozerog [31]

Answer:

In 50 years there'll be approximately 3582 elephants.

Step-by-step explanation:

If they are decreasing at a rate of 9% per year, it means it's population by year is:

population(0) = 400000

population(1) = population(0)*(100% - 9%) = population(0)*(91%)

population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²

population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³

And so on, so the number of population as years passes is:

population(n) = population(0)*(91/100)^n

In this case we want to know the population of elephants when n = 50, so we have:

population(50) = 400000*(0.91)^50 = 3582.033

In 50 years there'll be approximately 3582 elephants.

5 0

4 years ago

The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on t

Schach [20]

Answer:

<em>The width is 4 cm</em>

<em>The length is 12 cm.</em>

Step-by-step explanation:

<u>Area of a rectangle</u>

Given a rectangle of width W and length L, its area is calculated as follows:

$A=W\cdot L$

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:

L = 3W

Substituting into the formula of the area:

$W\cdot L=48$

$W\cdot 3W=48$

Simplifying:

$3W^2=48$

Solving:

$W^2=48/3=16$

$W=\sqrt{16}=4$

The width is 4 cm. Find the length:

L=3W=3*4= 12

The length is 12 cm.

The image attached shows the rectangle on the centimeter grid

8 0

4 years ago