All categories

3 years ago

10

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

25π units^2

Step-by-step explanation:

The shape is a quarter circle with radius 10 units.

area of circle = πr^2

area of a quarter circle = (1/4)π(10 units)^2

area = 25π units^2

You might be interested in

The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

3 0

2 years ago

Read 2 more answers

Can someone do these two questions for me please. I have a lot of homework to do and I'm trying to get a lot of questions done a

olga_2 [115]

Answer:

1. is 25

2. I think this one is 25 too?

Step-by-step explanation:

im working on the second

6 0

2 years ago

Read 2 more answers

Please answer my question

lakkis [162]

Replace m with each number in the given set and solve for d(m)

m = 0

d(m) = 7-2(0) = 7-0 = 7

m=1

d(m) =7-2(1) = 7-2 = 5

m = 2

d(m) = 7-2(2) = 7-4 = 3

m=3

d(m) = 7-2(3) = 7-6 = 1

The answers in order from smallest to largest are 1, 3, 5,7

The correct answer would be F.

4 0

3 years ago

Some please help me I’ll give you brainlist answer

Montano1993 [528]

Answer:

Step-by-step explanation:

The area of the square is 3 units by 3 units. because the area of a square is side length squared.

side length = 3

side length^2 = 3 * 3 = 9

The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.

3 0

2 years ago

Read 2 more answers

ⓌⒽⓎ ⓜⓊⓈⓉ ⓉⒽⒺ ⓇⒺⓜⒶⒾⓃⒹⒺⓇ ⒷⒺ ⓁⒺⓈⓈ ⓉⒽⒶⓃ ⓉⒽⒺ ⒹⒾⓋⒾⓈⓄⓇ

Lynna [10]

Answer:

The remainder is the number that is left over after dividing. It is always less than the divisor. The remainder is an essential part of the answer and is shown in the quotient preceded by the letter R.

Step-by-step explanation:

5 0

3 years ago