All categories

2 years ago

UNIT 8

Mathematics

1 answer:

DochEvi [55]2 years ago

4 0

For the first figure the Circumference of the circle is: 5.3 $\ip$ $\pi$ cm.

For the second figure the Circumference of the circle is: 80 $\ip$ $\pi$ inch.

<h3>What is Circumference of the Circle?</h3>

The circumference of a circle is defined as the linear distance around it.

i.e., $C= 2 *\pi*r$

For First Figure,

Circumference of the circle:

$= 2 *\pi*r$

$= 2 *\pi* \frac{5.3}{2}$

$= 2 *\pi*2.65$

$Circumference= 5.3*\pi cm$

For the second Figure,

Circumference $= 2 *\pi*r$

$= 2 *\pi*40$

$= 80 *\pi$

$Circumference =80\pi \;inch$

For the first figure the Circumference of the circle is: 5.3 $\ip$ $\pi$ cm.

For the second figure the Circumference of the circle is: 80 $\ip$ $\pi$ inch.

Learn more about circumference of circle here:

brainly.com/question/23239017

#SPJ1

You might be interested in

The triangle inequality

klemol [59]

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

3 0

3 years ago

Use the distributive property to find two expressions that are equivalent to 7(3x - 4)

ehidna [41]

I could only figure out one... sorry! Good luck

The answer is: 21x-28

7 0

3 years ago

Zoe works in a bakery. She uses 250 milliliters of milk to make a loaf of bread. How many liters of milk will she need to make 1

bonufazy [111]

Answer: 3.75 liters

Step-by-step explanation:

Zoe uses 250 milliliters of milk to make a loaf of bread.

If she needed to make 15 loaves therefore, she would do the following:

= 250 * 15 loaves

= 3,750 milliliters of milk

Then convert the above quantity to liters.

1 Liter = 1,000 milliliters.

3,750 milliters to liters is:

= 3,750 / 1,000

= 3.75 liters

3 0

2 years ago

Which statement compares the two numbers correctly?

slamgirl [31]

Answer:

Step-by-step explanation:

So, we have-

(6 x .1) + (3 x .01) + (2 x .001)

So, we will solve inside of the parenthesis first.

6 x .1 = .6

So, we got that settled next-

3 x .01 = .03

We got that settled last-

2 x .001 = .002

Lastly, we add them all.

.6 + .03 + .002 = .632

Now we compare.

.632 > .629

So, there is your answer!

Hope this helps!

7 0

2 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago