Which mixed number is equivalent to the improper fraction 4 2/5?

4 2/5

7 4/5

8 2/5

9 3/5

A ray from Trevor to the fish is the hypotenuse side of a right triangle  with

vertices at Trevor's position, the hook and the fish.

Reasons:

The distance of the hook below Trevor, y = 8 meters

The horizontal distance of the fish from the hook, x = 5 meters

Required:

The distance of the fish from Trevor

Solution:

A line drawn from Trevor's position to the fish, h, then to the hook, x, and

then to Trevor, y, forms a right triangle with the distance from Trevor to the

fish being the hypotenuse side, h.

Therefore, by Pythagorean theorem, we have;

Which gives;

h² = 8² + 5²

h = √(8² + 5²) = √(89 ≈ 9.4

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The two pairs of figures that are similar are shown in figure 1 and 3.

What is Similar quadrilateral?

Two quadrilaterals are similar when there corresponding angles are equal to each other.

Given that;

In figure 1;

Two triangles are shown.

In figure 2;

One rectangle and other is square.

In figure 3;

Two rectangle are shown.

Now,

Since, Two quadrilateral are similar when there corresponding angles are same.

In the figure 1;

The angles of first triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

The angles of second triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

Thus, There all angles are equal to each other.

So, These figure are Similar.

And, In figure 2;

One figure is square and other is a rectangle.

So, It is not similar.

And, In figure 3;

Both figure are rectangle.

And, All angles in a rectangle are 90 degree.

Thus, they are similar.

Therefore,

The two pairs of figures that are similar are shown in figure 1 and 3.

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Answer:

9

Step-by-step explanation:

Answer: Should be A

Step-by-step explanation:

Not 100% sure but I'm pretty sure it's A

Answer:

A

Step-by-step explanation:

You need to insert the values into the equations

1) [tex]\frac{x^{6} -x}{4y}[/tex]

[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]

Then open the brackets

[tex]\frac{4096 -(-4)}{16}[/tex]

Open the brackets again not forgetting that 2 - equal a positive

[tex]\frac{4100}{16}[/tex]

Simplify

[tex]\frac{1025}{4}[/tex]

Answer:

x = 10, theta = 30 degrees

Step-by-step explanation:

i. 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

10 = x

ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.

You could also solve it with the law of sines:

sin(90)/12 = sin(x)/6

Multiply each side by 6

6 * sin(90)/12 = sin(x)

0.5 = sin(x)

x = 30 degrees

Answer:

Simplfy 823543000000

Exponential form 8.23543 × 10^11

Answer: D

Step-by-step explanation:

The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

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Answer:

x=17.5 we do that 5*3.5 =17.5

Answer:

Step-by-step explanation:

The spinner should land on whatever color 25% of the time.

25% of 20 = 25/100 * 20 = 500/100 = 5

So the correct answer is the number of times the spinner lands on a color 5 times. Only white does that. All the other colors either go above 5 or below it.

Answer:

White

Step-by-step explanation:

to find the theoretical probability, you just divide the number of times you spin it, which is 20, by how many equal sides the spinner has which is 4.

So therefore you'll do:

20 ÷ 4 = 5

So since that is the same probability as white, the answer is white.

Answer:

1800 stanley steamer

Step-by-step explanation:

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex]\large\huge\green{\sf{Explanation:-}}[/tex]

[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]

Given that the total amount of land in acres is 538

The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres

Mathematically we have

538/34 = 15.823

But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15

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Answer:

x= -1

y= 2

Step-by-step explanation:

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2

 y-intercept = 2/1  =  2

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1

 x-intercept = 2/-2 = 1/-1  = -1

Step-by-step explanation:

The x-intercept is the value of x when y is 0

So you need to substitute:

0 = 4x + 7

-7 = 4x

-7/4 = x

(-7/4,0)

Similarly, the y-intercept is the value of y when x is 0

So:

y = 4x + 7

y = 4(0) + 7

y = 7

(0,7)

The geometric series that converges from the listed option is [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex] Option B is correct.

The nth term of a geometric sequence is expressed as;

[tex]a_n=ar^{n-1}[/tex]

For a geometric sequence to converge, the modulus of its common ratio must be less than 1 (|r| < 1), otherwise, it diverges.

For the first series given as [tex]\frac{1}{81} + \frac{1}{27} +\frac{1}{9} +\frac{1}{3}+ ,...[/tex]

[tex]r = \frac{1}{27} \div \frac{1}{81}\\r=\frac{1}{27} \times 81\\r=\frac{81}{27} \\r=3 > 1[/tex]

Since the common ratio of the sequence is greater than 1, hence the series diverges.

For the series [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex]

[tex]r=\frac{1/2}{1} =\frac{1/4}{1/2} = \frac{1}{2}[/tex]

Since the common ratio of the sequence is less than 1, hence the series converges.

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Answer:

Let the radius of the circumscribed circle be r.

The formula for calculating the radius r is

r

=

Δ

s

Where  

Δ

is the area of the triangle

s

is the semi-perimeter.

s

for any triangle is calculated as

s

=

a

+

b

+

c

3

Where,  

a

,

b

,

c

is the sides of the triangle

Δ

=

√

s

(

s

−

a

)

(

s

−

b

)

(

s

−

c

)

(Heron's Formula)

Plug in the values and get the answer.

Once you have the radius, you can easily find out the area of the circle.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Khan told me ;p

Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'll leave you to round

7.)

x= amount invested at time 0

[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]

8.)

[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]

8b.)

In the first investment we had a yield of: 25000-7091.35=17908.65

In the second investment we had a yield of: 35510.5948-7091.35=28419.24

While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

Answer:

B

Step-by-step explanation:

Happy Holidays!

We can use the following equation to calculate uniform acceleration:

[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]

Plug in the given values to solve:

[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]

Answer:

Hope it will help you...

Answer:

The first number is -3, the second number is 8

Step-by-step explanation

Let x = the first number

exceeded means add, so the second number is x+11

sum means add, so the equation is x+x+11=5

combine like terms to get 2x+11=5

subtract 11 on both sides, 2x=-6

divide by 2 on both sides, x= -3

second number was x+11, so -3+11 = 8

Answer:

C (is greater than it equal to) 31

Step-by-step explanation:

Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33

Answer:

= -2.554

Step-by-step explanation:

BODMAS  Rule:

Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

-4/3 = -1.33333333333

-2/3 = -0.66666666666

-5/9 = -0.55555555555

-0.555+(-1.333)-0.666

= -2.554

Step-by-step explanation:

[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]

First deal with the bracket to get

[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]

Next, find the L.C.M which is 9

[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]

[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]

Answer:

x=-9, y=-6. (-9, -6).

Step-by-step explanation:

4x-5y=-6

-6x+7y=12

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

6(4x-5y)=6(-6)

4(-6x+7y)=4(12)

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

24x-30y=-36

-24x+28y=48

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

-2y=12

y=12/-2

y=-6

4x-5(-6)=-6

4x+30=-6

4x=-6-30

4x=-36

x=-36/4

x=-9

Answer:

8

Step-by-step explanation:

4*3*2*1 i had the same problem

The number of different ways the students can stand in line is A = 24 ways

A permutation is an ordered arrangement.

The number of ordered arrangements of r objects taken from n unlike objects is:

Permutation ⁿPr = n! / ( n - r )!

Given data ,

Let the number of different ways the students can stand in line be A

Now , There are 4 students to choose from for the first position in the line, then 3 remaining students for the second position, 2 remaining students for the third position, and only 1 student left for the last position.

Therefore, there are

4 × 3 × 2 × 1 = 24 different ways for the students to stand in line

Therefore , the value of A = 24 ways

Hence , the students have 24 ways to stand in line

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Answer:

H

Step-by-step explanation:

The domain is the values of x in a function.

The graph appears to extend infinitely to the right and left going from the x value 1

From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.

This can be written as {x | x ≠ 1 }

The answer is H

Answer:

y=3d+15

y intercept is 15

slope is 3

Step-by-step explanation:

to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.