8. Find the surface area of the regular hexagonal prism shown below.
Show Work
1.7 in.-
2 in.
8 in.

Answer:

C=31.4

Step-by-step explanation:

Formula: C=2πr

Insert radius: C=2×π×5

Multiply: C=10*π

Insert Pi: C=10*3.14

Multiply Again: C=31.4

Answer:

7.62

Step-by-step explanation:

3 x 3 = 9, 7 x 7 = 49, 49 + 7 = 58. Square root of 58 = 7.62

Answer:

hypotenuse ≈ 7.6 units

Step-by-step explanation:

calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (2, 4) ← endpoints of hypotenuse

d = [tex]\sqrt{(2-(-1))^2+(4-(-3))^2}[/tex]

   = [tex]\sqrt{(2+1)^2+(4+3)^2}[/tex]

   = [tex]\sqrt{3^2+7^2}[/tex]

   = [tex]\sqrt{9+49}[/tex]

   = [tex]\sqrt{58}[/tex]

   ≈ 7.6 ( to the nearest tenth )

The cosine is the ratio of hypotenuse and base. Then the measure of the angle ∠L will be 60°.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right-angle triangle is given below.

The length of the hypotenuse is 16 and the base length is 5.

Then the measure of the angle ∠L will be

cos L = 5 / 10

cos L = 1 / 2

      L = cos⁻¹ (1 / 2)

      L = 60°

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The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5

These are equations that has a leading degree of 2. Given the expression

6(x+5)^2 + 5(x+5) - 4 = 0

In order to simplify this equation, we will replace the reoccuring term by a variable.

From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:

6u^2 - 5u - 4 = 0

Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5

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Answer:

x ^ 4

Step-by-step explanation:

X x 5/6 / X x 1 / 6 = 5/6 - 1/6 = 4

then it = X^4

Answer:

= 240√3-3√3x

Step-by-step explanation:

parentheses:

=3√3 (80 – x)

Apply the distributive law:

a=3√3, b= 80, c =X

=3√3×80-3√3x

=3× 80√3 -3√3x

Multiply the numbers: 3×80 = 240

= 240√3-3√3x

Using sampling concepts, it is found that the population and the sample are given by:

Population: all the chicken meat; Sample: three random places in the chicken.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population.

In this problem, a group of 3 chicken meat is taken from all the chicken meat, which is the population, hence the correct option is given by:

Population: all the chicken meat; Sample: three random places in the chicken.

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The answer is -2

Sure hope this helps you

Depreciation is the reduction in the value of an asset over time, due in particular to wear and tear.

Your information is incomplete. Therefore, an overview will be given.  depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life.

To calculate depreciation, subtract the asset's salvage value from its cost. The result is the depreciable basis or the amount that can be depreciated. Divide this amount by the number of years in the asset's useful lifespan.

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the answer is 17,202 feet

The bird (B) from its nest (N) is 17202 ft.

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

This is very obviously a right triangle problem.

Side BO is the hypotenuse of the triangle, measuring 21000.

Side BN is the side adjacent to the given angle B, 35 degrees.

This is the cosine ratio:

cos∅ = adj/hyp

substitute the values

cos35° = x/21000 and solving for x:

21000.cos(35°) = x

x = 17202.19 or, rounded as we need:

x = 17202

Hence, the bird (B) from its nest (N) is 17202 ft

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Answer:

z = 7/3 is extraneous.

Step-by-step explanation:

√(z^2+8) = 1 - 2z

z^2 + 8 = (1 - 2z)^2

z^2 + 8 = 1 -4z + 4z^2

3z^2 - 4z - 7 = 0

3z^2 + 3z - 7z - 7 = 0

3z(z + 1) - 7(z + 1) = 0

(3z - 7)(z + 1) = 0

3z = 7, z = -1

z = 7/3, -1.

One of these might be extraneous.

Checking:

√(z^2+8) = 1 - 2z, if z = -1:

√(1 + 8) = 3, -3

1 - 2(-1) = 3.    So its not z = -1

if z = 7/3

√((7/3)^2 + 8) = 13.44

1 - 2(7/3) = -3.66

So its z = 7/3

Answer:

[tex]z=\dfrac{7}{3}[/tex]

Step-by-step explanation:

Given equation:

[tex]\sqrt{z^2+8}=1-2z[/tex]

Square both sides:

[tex]\implies (\sqrt{z^2+8})^2=(1-2z)^2[/tex]

[tex]\implies z^2+8=1-4z+4z^2[/tex]

Subtract [tex]z^2[/tex] from both sides:

[tex]\implies 8=1-4z+3z^2[/tex]

Subtract 8 from both sides:

[tex]\implies 0=-7-4z+3z^2[/tex]

[tex]\implies 3z^2-4z-7=0[/tex]

Rewrite the middle term:

[tex]\implies 3z^2+3z-7z-7=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 3z(z+1)-7(z+1)=0[/tex]

Factor out the common term [tex](z+1)[/tex]:

[tex]\implies (3z-7)(z+1)=0[/tex]

Therefore:

[tex]\implies (z+1)=0 \implies z=-1[/tex]

[tex]\implies (3z-7)=0 \implies z=\dfrac{7}{3}[/tex]

To find the extraneous solution (the root that is not a root of the original equation), enter the two found values of z into the original equation:

[tex]\begin{aligned}z=-1\implies \sqrt{(-1)^2+8}&=1-2(-1)\\\implies 3&=3\implies \textsf{true}\\\end{aligned}[/tex]

[tex]\begin{aligned}z=\dfrac{7}{3} \implies \sqrt{\left(\frac{7}{3}\right)^2+8}&=1-2\left(\frac{7}{3}\right)\\\implies \dfrac{11}{3} &=-\dfrac{11}{3}\implies \textsf{false}\end{aligned}[/tex]

[tex]\textsf{As}\: \dfrac{11}{3} \neq -\dfrac{11}{3}\:\textsf{then}\: z=\dfrac{7}{3}\:\textsf{is the extraneous solution}[/tex]

Answer:

44 minutes

Step-by-step explanation:

Given:

Michelle started doing a puzzle at 7:50 p.m. She finished the puzzle at 8:34 p.m.

To Find:

How long did Michelle work on the puzzle?

Solve:

Began Time ⇒ 7:50 p.m

End Time     ⇒ 8: 34 p.m

Since they are both p.m we could just subtract 8:34 by 7:50.

But first we know that:

8: 34 the 34 can't be subtracted by 7:50 the 50.

Thus we know that:

1 Hour = 60 minutes

Hence,

changing 8:34 p.m from 1 hour to 60 minutes. Which given us 7:94.

Then,

7:94 - 7:50

= 44

Hence, Michelle work on the puzzle for 44 minutes.

Kavinsky

Answer:

L translated is now (6, -7)

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

Answer:

C) All squares are rhombuses. Rhombeses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.

Step-by-step explanation:

Answer:

Given:

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

[tex] \\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\ [/tex]

On Substituting the required values, we get;

[tex]\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\ [/tex]

As we know that width of the rectangle can't be negative. So x = 24

Hence,

[tex] \therefore[/tex]Length of rectangle is 31 yards and Width is 24 yards.

The future value after 4 years will be $8156.49 if the value of the car today is $13,000 but will lose 11% of its value each year for the next several years.

Based on an estimated growth rate, the future value is the amount that an asset will be valued at a future date. The computation assumes that at the start date, a fixed amount of cash is made available for investment and that it increases at a constant rate until the selected future date.

We have:

Current value of the car = $13,000

Depreciation rate = 11%

Time n = 4 years

[tex]\rm Future \ value = (value \ at \ present) ( 1- \dfrac{depreciation \ rate}{100})^n[/tex]

[tex]\rm Future \ value = (13000)(1-\frac{11}{100} )^4[/tex]

Future value = $8156.49

Thus, the future value after 4 years will be $8156.49 if the value of the car today is $13,000 but will lose 11% of its value each year for the next several years.

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Answer:

<

Step-by-step explanation:

note that

| - y | = y

and

- | y | = - y

then

- y < y

Answer:

15

Step-by-step explanation:

sucks to suck

The number of students that are expected to carry a backpack is = 378

The total number of students in the assembly= 648

The number of students that enters the gym =12

The number of students carrying backpack = 7 out of 12

The total number of batches that entered the gym = 648/12 = 54

Therefore, the number of students that are expected to carry a backpack is = 54 ×7 = 378

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The figure shown in the question is a rectangle because it has four sides and two opposite sides are parallel.

A rectangle is a quadrilateral having four sides the two opposite sides of the rectangle are equal and parallel. and the two sides are always at perpendicular to each other.

here in the figure we have four sides and two opposite sides are equal

and also parallel to each other so the given figure is the triangle.

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Answer:

n >= -1/4

Step-by-step explanation:

Divide both sides by the same factor, and flip the relation because the factor is negative

-28n/-28 >= 7/-28

Simplify,

Cancel terms that are in both the numerator and denominator.

n >= 7/-28

Divide the numbers.

n >= 7/-28 = n >= -1/4

The answer is n >= -1/4

Hope this helps!

Answer:

4

Step-by-step explanation:

4 because jonny mom took 1

Answer:

Two right angles = 180 degrees

Step-by-step explanation:

A right angle = 90 degrees

The sum of the interior angles of a triangle = 180 degrees

Two right angles (2 * 90) = 180

180 = 180

Therefore, the sum of the interior angles of  any triangle is equal to two right angles.

Step-by-step explanation:

it does not matter, if you understand the equation itself. look at the graph ! what is the curve doing ?

I don't know the options of the pull-down menus, so I will give you my best guesses based on the facts :

the domain of a function is the set or interval of all valid x (or input) values.

the range of a function is the set of interval of all valid y (or functional result) values.

so, clearly, x is in the interval (-infinity, +infinity). which is therefore the domain.

please conduct the round brackets. they indicate that the specified interval limits are not included (as infinity is not a value, only a concept, and can never be reached).

and y is in the interval of (0, +infinity). which is therefore the range.

we have to use the round brackets also for 0, as the function will never deliver the value 0, but its tendency or limit goes there (but again, only in infinity, which will never be reached).

the function continuously decreases when x increases.

again, I am not sure what the options are here, and what your teacher wants to "hear".

Answer:

213 inches^2

Step-by-step explanation:

the ^2 is the exponent

Surface Area = 2×(6×9 + 6×3.5 + 9×3.5)

Please mark brainliest

Answer:

So we are given the length, width, and height and we are also told that we need to find the surface area.  The formula to finding the surface area of a rectangular prism is [tex]S=2(w*h+l*w+l*h)[/tex]

We just plug in the values and solve

[tex]S = 2(9\ in * 3.5\ in+6\ in * 9\ in + 6\ in * 3.5\ in)[/tex]

[tex]S = 2(31.5\ in^2 + 54\ in^2+21\ in^2)[/tex]

[tex]S = 2(106.5\ in^2)[/tex]

[tex]S = 213\ in^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

Density = mass / volume

thus, volume = mass / density

volume = 40 / 20 = 20 mL

Answer:

-1

-2

-5

-4

-1

Step-by-step explanation:

plug in each given number for x in the function:

- (-4) - 5

a negative negative is also a positive

4 - 5 = -1

- (-3) - 5

3 - 5 = -2

0 - 5 = -5

1 - 5 = -4

4 - 5 = -1