C4W2 Day 4_Weekly DOL Change In-Surface Area (1)
4. What is the approximate area of the
hexagon?
A 86.41 cm?
B 42.42 cm
C 62.35 cm?
D 33.49 cm?

Answer:

Step-by-step explanation:

1495/45

factor out what you can

1495/45=299/9

Answer:

I guess I would say if the sign points to the number its higher and you start from left to right

Answer:

Arc EG = 23.21 units

Step-by-step explanation:

Arc length:

Arc length could be found by the below mentioned formula.

         \(\boxed{\bf Arc \ length =\dfrac{\theta }{180}*\pi r}\)

r - radius of circle = 19 units

Ф - central angle of arc = 70°

                             \(\sf arc \ EG = \dfrac{70}{180}*3.14*19\\\\\)

                                         = 23.21 units

Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

Answer:

1))

25

50.

we know that 25×1 = 25

25×2 = 50

so the numerator will be 1 ,

and denominator will be 2.

So your answer is 1/2.

2))

28

50

We know that 14×2 = 28

25×2 =50.

so the numerator will be 14 ,

and denominator will be 25.

So your answer is 14/25.

Answer:

C and A

Step-by-step explanation:

Answer:

\(x^{2} + 6\)

Step-by-step explanation:

Answer:26

Step-by-step explanation:

The reason i got 26:

-we substitute the letters(variables) and have 52=(k)2

but what is k? k is y divided by x (just like y is k times x)

Answer:

34 minutes

Step-by-step explanation:

Method I - set up a proportion

t/17 = 2/60

multiply both sides by 17

t = 2/60 * 17

t = 0.5666666667 hr

in minutes

0.5666666667 hr * 60min/hr

34 minutes

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

Method II - rate

2 hours = 120 minutes

r = 120min / 60pages

r = 2 min / page

for 17 pages

t = 1 min / page * 17 pages

t = 34 minutes

Answer:

x = ± √((y + 2)/4)

Step-by-step explanation:

To find the inverse of a function, we need to solve for x in terms of y.

Steps to find the inverse of y = 4x^2 - 2:

Replace y with x and x with y:

x = 4y^2 - 2

Solve for y:

x + 2 = 4y^2

(x + 2)/4 = y^2

± √((x + 2)/4) = y

Note that we have a ± sign because the square root of a positive number can have two values, one positive and one negative.

Therefore, the inverse of y = 4x^2 - 2 is:

x = ± √((y + 2)/4)

Answer:

y=±(\(\sqrt{x+2}/2\))

Step-by-step explanation:

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

B) Group 2

Step-by-step explanation:

Group 1 wrote it correctly because there are 3 groups of 4x and 3 groups of 3

Group 2 wrote it incorrectly because that would mean 9 groups of 4x, which is not the case here

Group 3 wrote it correctly because 3(4x) + 3(3) = 3(4x+3) due to the Distributive Property

Group 4 wrote it correctly because it is an expansion of Group 3's expression

The height of the rice cylinder is 12in.

The volume of the flour cylinder is 50.24 in.

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

Sugar cylinder:

radius = 2.5 in

height = 8 in

Volume.

= πr²h

= 3.14 x 2.5 x 2.5 x 8

= 157 in²

Rice cylinder:

radius = 2.5 in

height = h

Volume = πr²h

Volume = 235.5 in²

πr²h = 235.5

3.14 x 2.5 x 2.5 x h = 235.5

196.26 x h = 235.5

h = 12 in

Flour cylinder:

Area of base = 12.56 in²

height = 4 in

Volume = x

Area of base = πr²

12.56 = 3.14 x r²

r² = 12.56/3.14

r² = 4

r = 2

Now,

Volume.

= πr²h

= 3.14 x 2 x 2 x 4

= 50.24 in²

Thus,

The solution for each cylinder is given above.

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The missing entries in the input - output table is 47, 10, 117 and 20.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given linear equation is y = 7x + 12.

Substitute the given values in the function to find the missing value.

When x = 5,

y = (7 × 5) + 12 = 47

When y = 82,

82 = 7x + 12

7x = 70

x = 10

When x = 15,

y = (7 × 15) + 12 = 117

When y = 152,

152 = 7x + 12

7x = 140

x = 20

Hence the missing x values are 10 and 20 and the missing y values are 47 and 117.

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Answer:

There are total 30 books in the 5 feet high stack of books.

Step-by-step explanation:

The complete question is

Given, Each note book is 2 inches thick, How many notebooks do you think it would take to make a stack that is 5 feet high

Solution

Thickness of each book \(= \frac{2}{12} = \frac{1}{6}\)

The total height of the book stack is \(5\) feet.

The number of books in the stack is equal to total height of the stack divided by the thickness of one book

Number of books in five feet high stack is

\(\frac{5}{\frac{1}{6} } \\5 * \frac{6}{1} \\30\)

Hence, there are total 30 books in the 5 feet high stack of books.

Given statement solution :-  Party A received the most votes with a total of 47, compared to Party B's total of 38 votes.

Let's calculate the number of votes each party received based on the given information.

Assuming there is a population of 100 people (this is an arbitrary number chosen for ease of calculation), we can determine the number of votes for each party.

Percentage of people who said they would vote for Party A = 33%

Number of people who said they would vote for Party A = 33/100 * 100 = 33

Percentage of people who said they would vote for Party B = 10%

Number of people who said they would vote for Party B = 10/100 * 100 = 10

Percentage of people who said they would not vote = 15%

Number of people who said they would not vote = 15/100 * 100 = 15

Now, let's calculate the votes from the rest of the population (those who didn't state their voting preference).

Percentage of people who voted for Party A from the rest of the population = 1/3

Number of people who voted for Party A from the rest of the population = (1/3) * (100 - (33 + 10 + 15)) = (1/3) * 42 = 14

Percentage of people who voted for Party B from the rest of the population = 2/3

Number of people who voted for Party B from the rest of the population = (2/3) * (100 - (33 + 10 + 15)) = (2/3) * 42 = 28

Now, let's calculate the total votes for each party:

Total votes for Party A = votes from those who stated their preference + votes from the rest of the population

= 33 + 14 = 47

Total votes for Party B = votes from those who stated their preference + votes from the rest of the population

= 10 + 28 = 38

Therefore, Party A received the most votes with a total of 47, compared to Party B's total of 38 votes.

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Answer:

D 12rad2 12rad2 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we are looking for the ratio of the area of the inner square to the area of the outer square, that means that we need the areas of each of these squares, and we need to find the areas without any numbers. But that's ok; the answer they want is not a number answer. The answer will have a's and b's in it instead of numbers.

First the area of the inner square. Here we go:

Look at the triangle in the lower left corner of this coordinate plane. It is a right triangle. The height of it is b. That's because the height is a "y" thing and the y-coordinates of each of those sets of coordinates is b and 0. The height is then b - 0 = b.

The length of the base is a - b. That's because the length is an "x" thing and the x-coordinates of each of those sets of coordinates is (a - b) and 0. The length is then a - b - 0 = a - b.

Now we need the length of the hypotenuse which also serves as one of the sides of the inner square. Using Pythagorean's Theorem, we can find the length of the hypotenuse, which I will label as "?":

\(?^2=b^2+(a-b)^2\) and

\(?^2=b^2+a^2-2ab+b^2\) and

\(?^2=a^2-2ab+2b^2\) so

?, the length of the hypotenuse, is

\(?=\sqrt{a^2-2ab+2b^2}\) and now we can use that to find the area of the inner square. The formula for a square's area is

\(A=s^2\) so

\(A=(\sqrt{a^_2}-2ab+2b^2})^2\) which gives us finally:

\(A=a^2-2ab+2b^2\) **

Now for the outer square. Those blue triangles you see are all congruent. We can use the side lengths for the triangles we found above to find the length of a side of the outer square. One side of the outer square is made up of one base length of these triangles and one height. We found the base length to be (a - b) and the height to be b; therefore, the length of one side of the outer square is b + (a - b) which is just "a". That's is, just a length of "a". The area is found by multiplying this side length by itself, so the area of the outer square is

A = a²

The ratio of the area of the inner to the outer is:

\(\frac{A_i}{A_o}:\frac{a^2-2ab+2b^2}{a^2}\) and that does not reduce.

Answer:

A

Step-by-step explanation:

Edmentum

Answer:

4

Step-by-step explanation:

because i know how to do it

Answer:

A. 4

Step-by-step explanation:

Square root means " a number which produces a specified quantity when multiplied by itself."

When you multiply 4 and 4, you get 16.

Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

Answer:

0.6

Step-by-step explanation:

add 0.1 to 0.5 giving you 0.6

the rest are 0.7, 0.8, 0.9,

hope this helps! <3

The solution of the integration is:

∫ 1/(x ln (5x + 1)) dx = (1/5) ln(ln(5x + 1)) - (1/5) [(ln(5x + 1)) ln(ln(5x + 1)) - (5x + 1)] + C

Now, For integrate the function f(x) = 1/ (x ln (5x + 1)) dx, we can use substitution.

Let u = 5x + 1,

So, du/dx = 5

dx = du/5.

Substituting u and dx in terms of u in the original integral, we get:

= ∫ 1/(x ln (5x + 1)) dx

= ∫ 1/(ln u) (1/5) du

Now, integrate with respect to u:

= ∫ 1/(ln u)  (1/5) du

= (1/5) ∫ (ln u)^(-1) du

Using integration by parts,

dv = (ln u)⁻¹ du

v = ln(ln u)

u = ln u

du = (1/u) du

Now, we can substitute u and v in terms of u:

= (1/5) ln(ln u) - (1/5) ∫ (1/(u ln u)) ln(ln u) du

= (1/5) ln(ln u) - (1/5) ∫ (ln u)' ln(ln u) du

= (1/5) ln(ln u) - (1/5) [(ln u) ln(ln u) - ∫ (ln u) (1/ln u) du]

= (1/5) ln(ln u) - (1/5) [(ln u) ln(ln u) - u + C]

Substituting back u = 5x + 1, we obtain:

∫ 1/(x ln (5x + 1)) dx

= (1/5) ln(ln(5x + 1)) - (1/5) [(ln(5x + 1)) ln(ln(5x + 1)) - (5x + 1) + C]

Therefore, the solution is:

∫ 1/(x ln (5x + 1)) dx = (1/5) ln(ln(5x + 1)) - (1/5) [(ln(5x + 1)) ln(ln(5x + 1)) - (5x + 1)] + C

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Answer:

1 = h

Step-by-step explanation:

h-1=5h+3h-8

Combine like terms

h-1 = 8h-8

Subtract h from each side

h-1-h = 8h-8-h

-1 = 7h-8

Add 8 to each ide

-1+8 = 7h

7 =7h

Divide by 7

7/7 =7h/7

1 = h

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

a. The hypothesis to be tested are given as follows:

b. The p-value is of: 0.0047.

c. The decision is of: Reject the null hypothesis.

d. The conclusion is of: There is enough evidence to conclude that the mean rate is less for people who exercise regularly.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the heart rate is less, than is, if the difference is not negative, hence:

\(H_0: \mu_d \leq 0\)

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the heart rate is less, that is, if the difference is negative, hence:

\(H_1: \mu_d > 0\)

The parameters to the p-value are given as follows:

We have a left-tailed test, as we are testing if the mean is less than a value, hence, using a t-distribution calculator, the p-value is of:

0.0047.

Since the p-value is less than the critical value, the decision and the conclusion are given as follows:

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Answer:

x= 4

y= 116°

Step-by-step explanation:

In a parallelogram, opposite sides are congruent

This means :

(y-60) ° = 56°

y= 56°+60°

y= 116°

And , parallel sides of a parallelogram are equal so;

16 = 3x + 4

16-4 = 3x

12 = 3x

12/3 = x

4 = x

Answer:

C 12 red to 9 blue

Step-by-step explanation: