A heptagon has angles that measure 120°, 110°, 140°, 135°, 160°, 100°, and b. What is b?

Answer:

-1

Step-by-step explanation:

f(x) =3x-7

x=2

f(x)=3×2-7

f(x)=6-7

f(x)=-1

Answer:

I got you :)

Step-by-step explanation:

Remember the formula for the lateral surface area of a cylinder?

it is 2 x pi x radius x height

2·π·2·5 = 62.83185

Answer: 62.83in^3  

the in^3 is because its in square inches

Hope this helps!

Answer:

[tex]\rm\hookrightarrow Lateral\: surface\: area=[/tex]62.8in²

Step-by-step explanation:

[tex]Solution,\\\\Here,\\\\Radius(r)=2in\\\\Height(h)=5in\\\\Now,\\\\\rm\hookrightarrow Lateral\: surface\: area=2\pi rh\\\\\rm\hookrightarrow Lateral\: surface\: area=2\times3.14\times2in\times5in\\\\\rm\hookrightarrow Lateral\: surface\: area=62.8in^{2}[/tex]

Answer:

  94°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  ∠1 = 29° +65° = 94°

_____

Additional comment

You can see this when you realize that both the sum of the remote angles and the exterior angle are supplementary to the third interior angle, ∠2. Angles supplementary to the same angle are congruent. That is, the sum of 29° and 65° is congruent to ∠1.

Answer:

94°

or d

Step-by-step explanation:

Answer:

  27 square feet

Step-by-step explanation:

The area of each triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(3 ft)(3 ft) = 4.5 ft²

The area of 6 such triangles will be 6 times this value, or ...

  hexagon area = 6 × 4.5 ft² = 27 ft²

The area of Amy's hexagon table is 27 square feet.

Answer:

Looks confusing I don't really know this but try your best !! :')

Step-by-step explanation:

Answer:

8bc/12ab + 3ac/12ab

Step by step explanation:

c×(2/3a +1/4b)

c× (8b/12ab + 3a/12ab)

8bc/12ab + 3ac/12ab

Answer:

Confused on what you want as the answer

Step-by-step explanation:

Answer:

50° is the correct answer

Step-by-step explanation:

Right Triangles

The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.

We have a right triangle with the following characteristics:

The hypotenuse is 13 units long

The indicated angle is opposite to the leg of 10 units long.

When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:

[tex]\displaystyle \sin\theta=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin\theta=\frac{10}{13}[/tex]

Using a calculator set in mode degrees, the angle is:

[tex]\theta=\sin^{-1}\frac{10}{13}[/tex]

[tex]\theta\approx 50.3^\circ[/tex]

First choice: 52° is not correct because is not a good approximation to 50.3°

Second choice:38° is not correct because is not a good approximation to 50.3°

Third choice: 50° is a good approximation to 50.3°. Correct Answer

Fourth choice: 40° is not correct because is not a good approximation to 50.3°

Answer:

IM because they are the same!!

YOUR WELCOME

Step-by-step explanation:

Answer: Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42. I don’t know the second

Step-by-step explanation:

Answer:

The question is not clear. please write the complete question

Step-by-step explanation:

435.5 X 5 = 2177.5 g are in the bag

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]12x-9y = 27\implies -9y=-12x+27\implies y=\cfrac{-12x+27}{-9} \\\\\\ y=\cfrac{-12x}{-9}+\cfrac{27}{-9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

therefore

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}[/tex]

Through the given information in the question, the value of x could be 12.

The perimeter of a rectangle is the total distance around the outside of the rectangle. It is calculated by adding together the length of all four sides of the rectangle. If the length of the rectangle is denoted by 'l' and the width is denoted by 'w', then the formula for the perimeter (P) of the rectangle is:

P = 2l + 2w

Alternatively, the formula can also be written as:

P = 2(l + w)

The perimeter of a rectangle is given by the sum of the lengths of all four sides. Therefore, we can write:

AB + BC + CD + DA = 22

We know that AB = CD = 9 since they are opposite sides of the rectangle. We also know that DA = BC = x - 5, since they are the other two sides of the rectangle.

Substituting these values into the perimeter equation, we get:

9 + x - 5 + 9 + x - 5 = 22

Simplifying the equation, we get:

2x - 2 = 22

2x = 24

x = 12

Therefore, the value of x could be 12.

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Answer:8

Step-by-step explanation:

scale    1 cm............25 km

            n cm...........280 km

25 x n = 1 x 280

n = 280 : 25

n = 112 cm on the map

Answer:

Your answer is: 7x-38/15

Step-by-step explanation:

Hope this helped : )

Answer:

210 is the rate per hour and 1,050 people in 5 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

    You need to get answer to people per hour first. 70 people could ride the ferris wheel in 20 minutes. 20 minutes is 1/3 of 60 minutes, which is an hour. So you multiply both the time and the amount of people by 3. 70 times 3 is 210. This is the amount of people that could ride the ferris wheel in 1 hour. Then, we need to multiply this number by 5, because we need the amount of people that could ride the ferris wheel in 5 hours, not 1 hour. So 210 times 5 is 1,050. 1,050 people could ride the ferris wheel in 5 hours.

    Next, we need to find the rate per hour. You already have the answer to that though. It is the amount of people that could ride the ferris wheel, so your  previous number: 210. Your rate would be 210 people per hour could ride the ferris wheel.

You're welcome, stranger :)

Answer:

The function is

The remainder when f(x) is divided by x−2 is 23

To find:

The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using the remainder or theorem, we get  

Put x=2, to find the value of f(2)

Using (i) and (ii), we get

Therefore, the value of k is 8.

Step-by-step explanation:

hope this helps

f(x) - 2x³ + kx - 4 and the remainder when f(x) is divided by x + 2 is -18.  then k is 15.

The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)

f(x)=2x³ + kx - 4

x+2=0

x=-2

By the remainder theorem, the remainder when dividing by x-a is f(a)

f(-2)=2(-2)³+k(-2)-4

=-2(-8)-2k-4

=16-2k-4

The remainder is -18.

So, 16-2k-4=-18

12-2k=-18

-2k=-18-12

-2k=-30

k=15

Hence the value of k is 15.

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Answer:

algebra

Step-by-step explanation:

bra

The hospital uses the quadratic model to predict the number of births

The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90

To determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary

A quadratic model is represented as:

[tex]y= ax^2 + bx + c[/tex]

So, we have:

[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]

Approximate

[tex]y = 4 x^2 -43 x +178[/tex]

Rewrite as:

[tex]f(x) = 4 x^2 -43 x +178[/tex]

At the 8th month, we have x = 8.

So, the function becomes

[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]

[tex]f(8) = 90[/tex]

Hence, the number of births for month 8 is 90

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Answer:

4

-43

178

90

Step-by-step explanation:

yep

Answer:

6.4/6

Step-by-step explanation:

Since

4 : 5 = X : 8

Then we know

4/5 = X/8

Multiplying both sides by 8 cancels on the right

8 × (4/5) = (X/8) × 8

8 × (4/5) = X

Then solving for X

X = 8 × (4/5)

X = 6.4

Therefore

4 : 5 = 6.4 : 8

Answer:

[tex]y = - \frac{9}{8} x + 7[/tex]

Step-by-step explanation:

[tex]m = \frac{ - 2 - 7}{8 - 0} = \frac{ - 9}{8} [/tex]

Since this line passes through (0,7), then this point satisfies the equation of the line;

[tex]y = \frac{ - 9}{8} x + b[/tex]

[tex]7 = \frac{ - 9}{8} (0) + b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Hey there!

We are given 2 points that the line passes through, so we can easily determine the slope of the line:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-2-7}{8-0}=\frac{-9}{8} }[/tex]

So now we have the slope.

However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)

Hence, the equation is

[tex]\boxed{\boxed{\bold{y=-\frac{9}{8} x+7}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if you do, please comment.

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The total number ot turbans that Lisa's inventory should have 9 turbans in the next 18 hats when requested, under the condition that recently lent out a number of different hats. ski hats 4 berets 1 turban.

The evaluated probability of turbans in Lisa's inventory is 5/10 or 1/2. This projects that out of every 10 hats in Lisa's inventory, 5 are turbans.
To evaluate the expected number of turbans in the next 18 hats taken from Lisa's inventory, we can apply  the formula:
Expected number of turbans = Probability of turbans × Total number of hats requested
Staging the values
The turbans that are expected  
= (1/2) × 18
= 9
Then, it  can expected that 9 turbans in the next 18 hats requested from Lisa's inventory.
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Answer:

(7 miles)/(50 minutes) = (x miles)/(75 minutes)

7/50 = x/75

7*75 = 50x

525 = 50x

50x = 525

x = 525/50

x = 10.5

He can run 10.5 miles in 75 minutes

Step-by-step explanation:

Answer:

10 [tex]\frac{1}{2}[/tex] miles in 75 minutes.

Step-by-step explanation:

Let us first analyze the problem,

we are given that she runs 7 miles in 50 mins

make it a fraction

[tex]\frac{7}{50}= \frac{x}{75}[/tex]     (we cross multiply)

525=50x   (divide both sides by 50)

x=10.5      (x= the amount of miles)

Answer:

6-(4*x) This is your answer, because less than is also another word for subtraction.                              

Answer:

Conjecture

Disjunction

Counterexample

Conjunction

Inductive reasoning

Conditional

Step-by-step explanation:

I used Quizlet and I knew most of them.

The equation that relates the time, t, it takes to travel a given distance, d is d = rt

This is a scalar quantity and can be defined as  the magnitude of the rate of change of its position with time.

d = rt

where d is distance, r is speed or rate, t is time.

We can calculate the time by dividing the distance with the rate (speed).

t =  d/r

This is why it was chosen as the most appropriate choice.

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Answer:

$6

Step-by-step explanation: