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3 years ago

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit

Mathematics

2 answers:

geniusboy [140]3 years ago

4 0

Answer:

To find the area of the circle, you will use the formula for finding area of any circle.

The radius is half the diameter.

A = pi x r^2

3.14 x 13^2

A = 530.66 square units

The area is 530.66 square units

Hitman42 [59]3 years ago

3 0

To find the area of the circle, you will use the formula for finding area of any circle.

The radius is half the diameter.

A = pi x r^2
3.14 x 13^2
A = 530.66 square units

The area is 530.66 square units.

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You plant flowers in your garden and only 75% of them sprout how many can you predict to sprout if you plant 20 seeds?

SSSSS [86.1K]

Well basically by reading this question, I believe that if 75% sprout of the 20 seeds your equation would look like this 20(0.75) 0.75 is basically a simplified version of the 75% just written as a decimal so basically your answer would be 15 seeds ( so I believe you will be able to predict that 15 seeds will sprout! Let me know if this was either, helpful or non- helpful! I hope you have done a wonderful job!

5 0

3 years ago

Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was

frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

$z=\dfrac{x-\mu}{\sigma}$ (1)

Given : $\mu=90$

$\sigma=7$

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of $\mu,\ \sigma\ and \ x$ in (1), we get

$1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69$

Hence, the raw score for Daniel's exam grade = 101.69

3 0

3 years ago

if the area of polygon P is 20 units² and the ratio of similarity of polygon P to polygon G is 7/3, what is the area of polygon

kipiarov [429]

Hope this helped and I’ve shown my work and the answer! :)

5 0

3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

3 years ago

What’s the error and how can I correct it number 24.

Aloiza [94]

The error is that 9 shouldnt be written as nine it should be written as 3x3 or 3^2. So the answer should be 2^3 x 3^2 because 9 can be divided into even more prime factors of 72.

4 0

3 years ago

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