Express 0.625 as a fraction in its

simplest form.

Answer:

Your number written in expanded form is:

0.8

+ 0.01

+ 0.007

Answer:

0.8

+ 0.01

+ 0.007

Step-by-step explanation:

I think

Answer:

Random, because he surveyed 30 random shoppers

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Reason:

For choice A, the LCD is 30 since

We get 30 from the fact that 5*6 = 30. Notice 2/3 and 1/6 already have the LCD of 6. We could rewrite the 2/3 into 4/6 to help show this better. Effectively we want to find the LCD of 4/6, 1/6, 1/5

Cross choice A off the list because we want an LCD of 45 instead of 30.

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Choice B is the answer because

What we can do is find the LCD of 2/3 and 1/9 to get 9. The 2/3 turns into 6/9. This means we need to find the LCD of 6/9, 1/9, and 1/15

Multiply the two unique denominators to get 9*15 = 135, then divide by the GCF 3 to get 135/3 = 45.

Recall that LCD(x,y) = (x*y)/GCF(x,y)

--------------------

We can stop here since we know choice B is the answer.

But if you wanted to continue, then the LCD of 2/3, 1/5 and 1/3 is 3*5 = 15. This rules out choice C.

Choice D can be ruled out because the LCD is 27*7 = 189.

Answer:

In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically

Step-by-step explanation:

Problem 1

Imagine placing the nonpencil part of your compass at the center of both hexagons. Extend the compass so the pencil reaches the right-most point on the larger hexagon. Then sweep a full 360 degrees to form a circle. This surrounds the larger hexagon to form what is called the circumcircle. The circumradius is 6+6 = 12 feet.

If we know the circumradius r = 12 and the number of sides n = 6, then we can find the area of the larger regular hexagon using this formula

[tex]A = 0.5n*r^2*\sin(360/n)[/tex]

Your calculator must be in degree mode. This formula only works for regular polygons.

Let's use that formula to calculate the area of the larger regular hexagon.

[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*12^2*\sin(360/6)\\\\A \approx 374.122974[/tex]

Then do the same for the smaller regular hexagon that has circumradius of r = 6 this time. We still have n = 6 sides.

[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*6^2*\sin(360/6)\\\\A \approx 93.530744[/tex]

Now subtract the areas

374.122974-93.530744 = 280.59223

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Problem 2

The formula we use here is

[tex]A = 0.25n*s^2*\cot(180/n)[/tex]

where

Let's use that formula to calculate the area of the larger regular pentagon. It has side lengths of s = 8

[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*8^2*\cot(180/5)\\\\A = 0.25*5*8^2*\cot(36)\\\\A = 0.25*5*8^2*\frac{1}{\tan(36)}\\\\A \approx 110.110554\\\\[/tex]

The larger regular pentagon has area of roughly 110.110554 square cm.

Repeat those steps for the smaller pentagon where each side is now s = 6. Keep n = 5 the same.

[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*6^2*\cot(180/5)\\\\A = 0.25*5*6^2*\cot(36)\\\\A = 0.25*5*6^2*\frac{1}{\tan(36)}\\\\A \approx 61.937186\\\\[/tex]

Now subtract the two areas to get the area of the shaded green region.

110.110554 - 61.937186 = 48.173368

Answer:25

Step-by-step explanation:

 f(x) = x² - 5x + 1f(-3) = (-3)² - 5(-3) + 1f(-3) = 25

Answer:

X=12

Step-by-step explanation:

First, take the term out parenthesis being careful to manage the sign of individual term carefully :

x+42+3x=90

Next , subtract 42 from each side of the equation to isolate the x term while keeping equation balance :

x+42-42+3x=90-42

x+0+3x=48

x+3x=48

(1+3)x=48

4x=48

Now, Divide both side of equations by 4 to slove of x while keeping equation balance :

4x/4=48/4

x=12

Here,

(12+42)+3*12=90

54+36

90

Answer:

306 m

Step-by-step explanation:

distance between her house and the third point:

280 - 10 = 270 m

distance between the third point  and the beach:

164 - 20 = 144 m

We have a right triangle ,then we can apply the Pythagorean theorem:

[tex]\text{the distance between her house and the beach} =\sqrt{\left( 270\right)^{2} +\left( 144\right)^{2} } = 306\ m[/tex]

Answer:

Kings and hearts

Step-by-step explanation:

Two events are said to be mutually exclusive if they cannot occur at the same time:

Answer:

21

Step-by-step explanation:

The first thing we do is multiply -3 by -9 to get 27. (Two negatives multiplied cancels each other out). Now we solve for -1+27-5. The resulting answer is 21.

Answer:

2

Step-by-step explanation:

A function assigns the values. The translation of the function f(x) when it is moved 2 units up is (5ˣ+2).

A function assigns the value of each element of one set to the other specific element of another set.

Given the function, f(x)=5ˣ. Now, if the function is needed to be translated by 2 units, then +2 is needed to be added to the overall value of f(x). Therefore, the function will become,

f(x) = 5ˣ

f(x) = 5ˣ + 2

Hence, the translation of the function f(x) when it is moved 2 units up is (5ˣ+2).

Learn more about Function:

https://brainly.com/question/5245372

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Answer:

B: 8 yards

Step-by-step explanation:

  3: feet in one yard

3/24=8

Answer:

2%

Step-by-step explanation:

m = 100(.5)^(1/35) = 98       so   2 % is gone after 1 day

Using translation concepts, it is found that the transformations necessary to transform the graph of f(x) into that of g(x) are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The original function f(x) is given by:

[tex]f(x) = \sqrt{x}[/tex]

The transformations are as follows:

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer: 2x-y=2= y=−2x+2

4x+y=4= y=-4x+4

Step-by-step explanation:

Answer: if you Solve by Substitution you get (point form: (1, 0)  

(equation form: x = 1, y = 0)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Solve for x:

y = −4x + 4

y = 2x − 2

Step-by-step explanation:

2.

an isometry means the distance between any two points in the original space is the same as the distance between them in the second space.

rotation and translation are such isometries. they leave the original shape or curve unchanged in its inner structure but move it around.

so, the shapes in this question are visibly an isometry. the size and structure of the pre-image is the same as for the image. only its position changed.

4.

(x, y) -> (x-3, y+5) means that every point of the shape or curve is moved (translated) 3 units to the left (the x coordinate is decreased) and 5 units up (the y coordinate is increased).

6.

(x, y) -> (x+7, y-2) -> (x-3, y+2)

this means that first every point of the shape or curve is moved (translated) 7 units to the right and 2 units down, and then 3 units to the left and 2 units up.

in the end this means that every point moved 4 units to the right (no up or down changes, as the intermediate changes canceled each other out).

Answer:

80 degrees and 20 degrees.

Step-by-step explanation:

Isosceles means two angles are the same. If one angle is 80 degrees that means another angle is 80 degrees. The sum of all angles is 180 degrees. 80 degrees + 80 degrees = 160 degrees. After you do that you subtract 160 from 180 to get 20 degrees.

Answer: The answer is the first choice ( >)

Step-by-step explanation: 4.3 × 10⁶ = 4300000 . 12.1 × 10⁵ = 1210000 . So 4300000 is greater than 1210000 . HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST . THANKS .

Answer:

there are 144 students in total

Answer:

X=Y since x and y are alternating angles

Answer:

C , third choice

Step-by-step explanation:

SAS
Side AE Congruent to Side EC simple as that

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Answer: Circle

Solve for area

A≈86.66in²

C Circumference

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=332

4·π≈86.65987in²

Step-by-step explanation:

Answer:

1808.64yarde cubed

Step-by-step explanation:

cylinder = 9(3.14(8^2))

9(3.14(64)) = 1808.64

Answer:

Yes it is possible

Step-by-step explanation:

Now, put it all together (9). Sin (A + B) is the two parts of the opposite - all divided by the hypotenuse (9). Putting that into its trig form: A very similar construction finds the formula for the cosine of an angle made with two angles added together.

Answer:

see the attachment photo.

Answer:

I believe it would be Option A) 38