Write as fraction in its lowest form: 0.342 *
1 point
171/500
342/100
34/10
342/10

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

Answer:

32,768 ways

Step-by-step explanation:

True/ false questions = 5 ; number of options = 2 (True or false)

Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32

Number of Multiple choice questions = 5

Number of options (A - D) = 4 options

Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024

32 * 1024 = 32,768 ways

Answer:

Step-by-step explanation:

Given

As we see, the number x is factor of 42, 84 and 126. The two-digit factors are:

We have two possible solutions:

Proof:

Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason

Answer:Jason has read  7 mystery novels and Judy has read  17 mystery novels

Step-by-step explanation:

Total number of mystery books read by  Jason and Judy =24

Let Number of mystery books read by Jason=x

and  Number of mystery books read by Judy= 3x-4

So that the total number of book read by both of them will be expressed as

x +(3x-4) =24

x +3x-4 =24

4x=24+4

4x=28

x=28/4=7

There fore  Jason has read  7 mystery novels

and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels

Answer:

Area = (8 + 2x)² mi²

Step-by-step explanation:

Length of the side of a park = 8 mi

Width of the road around the park = x mi

Length of one side of the park with the road = (8 + 2x) mi

Area of the park with road = (side)²

                                            = (8 + 2x)²

Therefore, combined area of the park and road is (8 + 2x)² square miles.

Answer:

pi is an irrational number and its value

is 22/7 in fraction and 3.14 in decimal

and 22/7 is rational number

hope it helps

Answer:

Pi is the ratio of a circle's circumference to its diameter.

The first 10 digits are 3.1415926535

Step-by-step explanation:

Answer:

a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

3/5(a+5.25)=7.35

Step 1: Simplify both sides of the equation.

3/5(a+5.25)=7.35

(3/5)(a)+(35)(5.25)=7.35 (Distribute)

3/5a+3.15=7.35

Step 2: Subtract 3.15 from both sides.

3/5a+3.15−3.15=7.35−3.15

3/5a=21/5

Step 3: Multiply both sides by 5/3.

(5/3)*(3/5a)=(5/3)*(21/5)

a=7

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

Answer:

12.5

Step-by-step explanation:

because it's a progress

Answer:

That would be 56. :D

Nice drawing sir/ma'am/person. :D

Step-by-step explanation:

Answer:

amy, since the middle term is further up the graph

Step-by-step explanation:

median is the middle term, amy's middle term is further

Answer:

36 ÷ 6 = 12

24 ÷ 6 = 4

12 ÷ 6 = 2

Step-by-step explanation:

There are way more numbers that can be divised by 6 but these can be chosen.

Answer:

15.

Step-by-step explanation:

These are:-

12, 18, 24 , ........... 96

There are (96 - 12) / 6 + 1 =

= 14 + 1

= 15.

Answer:

the answer is y=4x+3

Step-by-step explanation:

Answer:

i woyld say 1/3 and 2/5

Step-by-step explanation:

they aer bigger parts then the other

Answer:

if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Answer:

like terms have the same VARIABLES with the same POWER

:)

Answer:

Variables; Powers

Step-by-step explanation:

Like terms have the same variables with the same powers. Eg:-

[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]

These are like terms as they both have the same variables and powers

Answer:

Matt made the error

He used the diameter instead of the radius in step 2

Step-by-step explanation:

Given:

The equation is

[tex]x+\dfrac{4}{5}=45[/tex]

To find:

The value of x.

Solution:

We have,

[tex]x+\dfrac{4}{5}=45[/tex]

Isolating the variable, we get

[tex]x=45-\dfrac{4}{5}[/tex]

[tex]x=\dfrac{225-4}{5}[/tex]

[tex]x=\dfrac{221}{5}[/tex]

[tex]x=44.2[/tex]

Therefore, the value of x is 44.2.

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

Answer:

R = 10 cm

Step-by-step explanation:

The area of a spherical shape is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

ATQ,

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.

The radius of each small bubble is 5 cm

Using the given condition,

[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]

So, the radius of the large bubble is equal to 10 cm.

Answer:

20cm

Step-by-step explanation:

5cm+5cm+5cm+5cm=20cm

Answer:

20 degrees

Step-by-step explanation:

The line has a total of 180 degrees. So, x+100+3x=180. Then, we subtract 100 from both sides to get x+3x=80. Then, x+3x=4x. So, 4x=80 degrees, and so divide by 4 on both sides and you get x=20 degrees.

Answer:

a = 16 hope this helps

Step-by-step explanation:

Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

Learn more about isosceles trapezoid here:

brainly.com/question/4084820

#SPJ2

Answer:

the answer is 69.3

Step-by-step explanation:

Answer:

1.6; 2.4

Step-by-step explanation:

five or more round up

4 or less leave as is

Answer:

8) 3420°

Step-by-step explanation:

To find the sum of the interior angles of a polygon, (n-2)180

n being the number of sides.

(21 - 2) 180

19 * 180 = 3420°

Answer:the answer is

8) 3420°