Find the value of b. Then find the angle measures of the pentagon.



b=


Question 2
The angle measures from least to greatest are
∘,
∘,
∘,
∘, and
∘.

Answer:

y(t) = 494 (1.03)^t

y(10) = 663,89

Step-by-step explanation:

An increase in population by 3% each year means that at the end of each year, the population is 1.03 times what it was at the start of the year

This increase in population continues for t years

Exponential growth model that represents the population y (in thousands) t years after the beginning of the decade is

y(t) = 494 (1.03)^t

Where,

y = population

t = number of years

Find y when t = 10

y(t) = 494 (1.03)^t

y(10) = 494 (1.03)^10

= 494 ( 1.3439)

= 663.8866

Approximately y(10) = 663.89

This means that after 10 years from when the population was 494,000, it increased to 663,89.

Answer:

[tex]\mathtt{\Delta K.E = 10500 \ J}[/tex]

Step-by-step explanation:

Given that:

the expression for the change in kinetic energy = [tex]\dfrac{1}{2} \times 350 \times ( 122 -62)[/tex]

Recall that

Kinetic energy K.E = [tex]\dfrac{1}{2}mv^2[/tex]

where,

m = mass of the horse

v = velocity of the horse

The change in kinetic energy between  two instant times can be expressed by the relation

[tex]\Delta K.E = K.E_2 - K.E_1[/tex]

[tex]\Delta K.E =\dfrac{1}{2}mv^2_2- \dfrac{1}{2}mv^2_1[/tex]

[tex]\Delta K.E =\dfrac{1}{2}m(v^2_2-v^2_1)[/tex]

where;

m = 350

[tex]v_2[/tex] = 122

[tex]v_1[/tex]= 62

[tex]\Delta K.E =\dfrac{1}{2} \times 350 \times (122-62)[/tex]

[tex]\Delta K.E =\dfrac{1}{2} \times 350 \times (60)[/tex]

[tex]\Delta K.E = 350 \times 30[/tex]

[tex]\mathtt{\Delta K.E = 10500 \ J}[/tex]

Answer:

C

Step-by-step explanation:

you can add that they meet at a 90° angle

Answer:

Mia's test score is 44 if she got 3 questions wrong.

Mia's test score is (50-2x) if she got x questions wrong.

Step-by-step explanation:

It is given that, Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points.

If she got 3 questions wrong, then

Deducted marks [tex]=2\times 3=6[/tex]

Marks obtained by Mia = Total marks - Deducted marks

                                      [tex]=50-6[/tex]

                                     [tex]=44[/tex]

So, Mia's test score is 44 if she got 3 questions wrong.

If she got x questions wrong, then

Deducted marks [tex]=2\times x=2x[/tex]

Marks obtained by Mia = Total marks - Deducted marks

                                      [tex]=50-2x[/tex]

So, Mia's test score is (50-2x) if she got x questions wrong.

Answer:

Nick get = $10

Pam get = $28.25

Step-by-step explanation:

Given:

Total amount paid = $38.25

Nick work = 1 hour 5 minutes = 1.0833 hr

Pam work = 3 hour

Find:

Amount they get

Computation:

Assume each get x in 1 hour

So,

3x + 1.0833x = 38.25

4.0833x = 38.25

x = 9.3674

Nick get = 1.0833(9.3674) = 10.14 = $10

Pam get = $38.25 - $10 = $28.25

Answer:

C

Step-by-step explanation:

To answer a multiple choice question process of elimination can be very helpful

A isnt correct because CED is 90 degrees

B isnt correct since the line equals 180 degrees

C is correct because CED and AEC are a linear pair that add up to 180 degrees so if CED is 90 then so is AEC

Answer:

i did not understand it either

Step-by-step explanation:

but it means so like you would see what statement is ture so like say ced measured right then you would say it is right, you want to see what angel is right with this question your answer is the third answer

hope this help

Answer:

18

Step-by-step explanation:

12(3/2)=36/2=18

Answer:

Step-by-step explanation:

[tex]12\left(\frac{3}{2}\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \:a\times\frac{b}{c}=\frac{a\:\times\:b}{c}\\=\frac{3\times\:12}{2}\\\\\mathrm{Multiply\:the\:numbers:}\:3\times\:12=36\\=\frac{36}{2}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{36}{2}=18[/tex]

Answer:

30.4

Step-by-step explanation:

2 times 15.2

Answer:

The correct answer i would think would be A. 1 + -1= 0

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First simplify parts of the equation to make it easier:

  ✧ 2⁵ = 32

  ✧ 3² = 9

✦ Rewrite and solve parenthesis:

  ✧ (32 ÷ 9)⁴ = 3.55555556⁴

✦ Now solve the exponent:

  ✧ 3.55555556⁴ = 159.819541

✦ Simplify your answer:

  ✧ 159.82 (I rounded to the nearest hundredths)

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

x = 45

45 years old

Step-by-step explanation:

x + 3 = 4(x - 33)

x + 3 = 4x - 132

x - 4x = - 132 - 3

-3x = -135

x = -135/-3

x = 45

Answer:

x = 7.5

Step-by-step explanation:

Step 1: Subtract x from both sides.

1.5x−0.5−x=x+3.25−x

0.5x−0.5=3.25

Step 2: Add 0.5 to both sides.

0.5x−0.5+0.5=3.25+0.5

0.5x=3.75

Step 3: Divide both sides by 0.5

0.5x ÷ 0.5 = 3.75 ÷ 0.5

Hoped this helped!

☆*: .｡. o(≧▽≦)o .｡.:*☆

Answer:

150 g

Step-by-step explanation:

The 2 part of the ratio represents 60 g , thus

60 g ÷ 2 = 30 g ← value of 1 part of the ratio, then

5 parts = 5 × 30 g = 150 g ← amount of flour required

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

Answer: 100 dollars

Step-by-step explanation:

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Step-by-step explanation:

plz forgive me if my answer is wrong

Domain = looking for the very far left value and the very far right value on the x-axis, and only x-axis, so the farthest left x-axis value and the farthest right x-axis value.

Range = very bottom y-value, and very top y-value

In both cases, if the arrows extend forever then that means you could have the value of infinity.

Answer:

  you're nearly there

Step-by-step explanation:

You have obviously determined the correct entry in the top box of each pair. What you seem to have failed to observe is that the bottom box in each pair needs exactly the same entry as the top box.

_____

You figure this out by looking at the stuff that is outside the box. The numbers and symbols for the second box show how the function indicated outside the first box is evaluated. That is f(x) at the top becomes 4x at the bottom, where x (in this case) is x/4 for both.

Answer:

  $800

Step-by-step explanation:

We are told that ...

  0.90 × (weekly income) = $720

Dividing by 0.90 gives ...

  (weekly income) = $720/0.9 = $800

Sally's weekly income is $800.

Answer:

2 3/4 gallons in each container

Step-by-step explanation:

Gallons of water = 11

Containers = 4

Larry pours 11 gallons of water equally into 4 containers

Gallons of water in each container = Total gallons of water / number of containers

= 11 / 4

= 2 3/4

There are 2 3/4 gallons of water in each containers

The equation is

Gallons of water in each container = Total gallons of water / number of containers

Answer:

5.3× 10⁴= ?

Step-by-step explanation:

10⁴ can also be written as 10×10×10×10= 10000

so, 5.3 × 10000= 53000

Scientific notations are the way through which a very small or a very large number can be written in shorthand. The value of 5.3×10⁴ in standard form is equal to 53,000.

Scientific notations is the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

Given the numerical value 5.3×10⁴ which is needed to be written in the standard form, therefore, we can write,

5.3 × 10⁴

= 5.3 × 10,000

= 53,000

Hence, the value of 5.3×10⁴ in standard form is equal to 53,000.

Learn more about Scientific notation here:

https://brainly.com/question/1740231

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Answer:

w < 22

Step-by-step explanation:

w - 5 < 17

Add 5 to both sides:

w - 5 + 5 < 17 + 5

w < 22

Answer:

-22

Step-by-step explanation:

-18 - 4 =

We are subtracting both number so add them and then give them a negative sign

-( 18+4)

-22

Answer:

-22

Step-by-step explanation:

Answer:  The distance is 30

Step-by-step explanation:

To find the distance between the two points,find the difference between the x and y values, square them and add them to find their square root.

10 - (-14) = 24

-16 - 2=   -18

24^2 + 18^2 = d^2  where d is the distance

576 + 324 = d^2  

900 =d^2

d = [tex]\sqrt{900}[/tex]

d= 30

Answer:

d=30

Step-by-step explanation:

distance between 2 points: d

d=√(x2-x1)²+(y2-y1)²     (-16,10) and (2,-14)

d=√(2-(-16)²+(-14-10)²

d=√18²+(-24)²

d=√324+576

d=√900

d=30

Answer:

It's TRUE!

CLOSURE PROPERTY IS USED !

Answer:

≤

Step-by-step explanation:

First we solve 5(x + 2) ≥ 2(x + 8).

5x + 10 ≥ 2x + 16

3x ≥ 6

x ≥ 2.

Now we place an equal sign into the box:

4(x - 6) = 2(x - 10)

4x - 24 = 2x - 20

2x = 4

x = 2.

For the solution to only have 1 value, the solution must be x = 2.

Therefore we must have x ≥ 2 and x ≤ 2.

Answer:

4t-5

Step-by-step explanation:

Answer:

4t-5

Step-by-step explanation:

8t+1+(-4t)+(-6)

= 8t+(-4t)+1+(-6)

=(8t-4t)+(1-6)

=(8-4)t+(-5)

=(4)t+(-5)

=4t-5

Answer:

3.

Step-by-step explanation:

1/x = (x+3)/(2x^2), where x ≠ 0.

Cross-multiply to give 2x^2 = x(x+3).

2x^2 - x^2 - 3x = 0

x^2 - 3x = 0

x(x - 3) = 0

x = 3 or x = 0 (rejected because equation will be undefined)

Answer:

d

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

just took test and got it correct

Circle is the set of all points in a plane is equidistant at a given distance from a point.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”.

Since, we know that

A two dimensional figure in which the set of all the points in a plane is equidistant from a given is called circle.

Therefore, option B is correct.

Find out more information about circle here:

https://brainly.com/question/23519482

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Answer:

x=3

Step-by-step explanation:

2/3x -4 = -2

2/3x = 2

(3/2)*(2/3x) = (2*3/2)

x=3

Answer:

x=3 I hate asking for things but may  i have brainliest I need to rank up

Step-by-step explanation:

Step 1: Add 4 to both sides.

2/3x−4+4=−2+4

2/3x=2

Step 2: Multiply both sides by 3/2.

(3/2)*(2/3x)=(3/2)*(2)

then you get x=3