the measure of the seven angles in a pentagon measure 87, 105, 135, and 92. what is the measurement of the last angle

Answer:

8.5

Step-by-step explanation:

The competitors in the first race ran 19.5 miles and the competitors in the second race ran 11.

I hope this helps and makes sense! :)

Given:

The functions are:

(1) [tex]h(x)=\sqrt{1-x}[/tex]

(2) [tex]x+y=4[/tex]

(3) [tex]x^2+y^2=16[/tex]

To find:

The domain of given functions.

Solution:

Domain is the set of input and x -values.

Value under the square root must be positive because if the number under square root is negative, then it is a complex or imaginary number.

(1) [tex]h(x)=\sqrt{1-x}[/tex]

The function is defined if

[tex]1-x\geq 0[/tex]

[tex]1\geq x[/tex]

The function is defined for all real values of x which are less than or equal to 1.

Therefore, the domain of the function is (-∞,1].

(2) [tex]x+y=4[/tex]

It is a linear function and linear function is defined for all real values of x.

Therefore, the domain of the function is (-∞,∞).

(3) [tex]x^2+y^2=16[/tex]

It can be written as

[tex]y^2=16-x^2[/tex]

[tex]y=\pm \sqrt{16-x^2}[/tex]

It is defined if

[tex]16-x^2\geq 0[/tex]

[tex]16\geq x^2[/tex]

[tex]4\geq x\geq -4[/tex]

This function defined for all real values of x from -4 to 4.

Therefore, the domain of the function is [-4,4].

Answer:

-1.5 = -3/2

-4/5 > -5/4

-3/5 = -6/10

-2/3 < 1/3

Step-by-step explanation:

If you convert -3/2 into a decimal, it equals -1.5

-5/4 is an improper fraction which makes it greater than one, but since it is negative, it is further away from zero making it less than -4/5

-3/5 is the simplified form of -6/10. 3x2= 6 and 5x2=10

1/3 is positive making it greater than any negative

Answer:

1

Step-by-step explanation:

2(5)/10

10/10

Answer: -1

Step-by-step explanation: 2x-5/10= -10/10= -1

Answer: true

Step-by-step explanation:

The geometric mean of 24 and 45 is equal to 32.86.

Given the following data:

Geometric mean is an average value that is used to indicate the central tendency of a data set containing a group of numbers, especially by determining the product of their values.

Mathematically, geometric mean is given by this formula:

[tex]G=\sqrt[n]{x_1x_2...x_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]G = \sqrt[2]{24 \times 45} \\\\G = \sqrt{1080}[/tex]

G = 32.86.

Read more on geometric mean here: https://brainly.com/question/2292573

Answer:

The number 64 has 4 in the ones place and 6 in the tens place. Explore different numbers with your children. Discuss how many tens and how many ones (units) there are in each number.

\

Step-by-step explanation:

Answer:

I cannot complete this without an image but the answer you might be looking for is 16/25 that is the number simplified when put into decimal form.

Step-by-step explanation:

I did the best I could with what you gave me Vote Brainiest!!

Answer:

it is going to remain 3 1/2

Step-by-step explanation:

The absolute doesn't change anything since the term inside it is positive.

however if you were given | -3 1/2|, then in that case you would change the negative sign and make it positive.

Answer is 54

1  | 6

2 | 12

3 | 18

4 | 24

5 | 30

6 | 36

7 | 42

8 | 48

9 | 54

Hope this helps

The equation for the perimeter is 2(2w + 5) = 70, to calculate the width.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the perimeter of a rectangular flower bed = 70 feet

and the length of  the flowerbed is 5 feet more than the width,

let width be w

length = w + 5

perimeter is given by = P = 2(l + b)

P = 2(w + w + 5)

P = 2(2w + 5)

Hence option C is correct to find the width of the rectangular flowerbed.

Learn more about rectangles;

https://brainly.com/question/29067670

#SPJ5

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Hope this helped!! :)

Stay safe and have a wonderful afternoon!!!!!

Answer and Step-by-step explanation:

Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.

10y - 50 + 6y + 12

Now, combine like terms.

16y - 38

#teamtrees #PAW (Plant and Water)

Answer:

19

Step-by-step explanation:

if lane is 14 years older and he is 33 to find michelle's age you just have to subtract 14 from 33 and get that that michelle is 19

Answer:

Michelle would be 19 years old

Step-by-step explanation:

33 minus 14 years is 19 because he is 33 she is 14 years younger so she would be 19 years old

Answer:

Find the area of both the square and circle and subtract the circle’s area from the square’s

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

20,781.64[tex]in^{3}[/tex]

Step-by-step explanation:

V = [tex]3.14*21^{2} *\frac{43}{3}[/tex]

good luck, i hope this helps :)

Answer:

9

Step-by-step explanation:

1 yard = 3 feet

27 / 3 = 9

Answer:

97%

Step-by-step explanation:

100% - 3% = 97%

Hope this helps :)

Answer:

3/12 ton

Step-by-step explanation:

Given data

Jason has 3/4 ton of stone to spread equally in 3 square yards

Let us divide the 3/4 ton equally by 3 to get the final answer

solution

=3/4/3

=3/4*1/3

= 3/12

Hence each square will take 3/12 ton

Answer:

m=20

Step-by-step explanation:

9+(-2m)=-31

-2m=-31-9

-2m=-40

m=(-40)/(-2)

m=20

Answer:

detail below

Step-by-step explanation:

slope = difference of y/difference of x

m1 = (3-2) / (7-5) = 1/2

m2 = (-3 - -1) / (5 - 2) = -2/3

m3 = (3 - 6) / (-1 - -4) = -3/3 = -1

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Answer:

A e f

Step-by-step explanation:

Hope this was helpful!!!

Answer:

the first one 24r+200=500

Answer: 39.8

Step-by-step explanation:

I just did it on edge 2021.

Answer: -0.5

Step-by-step explanation:

-3b = 4-2.5

-3b = 1.5

(-3b)/-3 = 1.5/-3

b = -0.5

Answer:

should be - 0.5

Step-by-step explanation:

- 3b + 2.5 = 4

1.Turn the equation around

1. -3b = -2.5 + 4.

1. The reason why you turn the 2.5 into a negative is because you basically doing the oppisite if that makes sence.

2. Add -2.5 + 4

2. -2.5 + 4 = 1.5

2. I just added.

3. Plug 1.5 into the equation. Like so

3. -3b = 1.5

3. I just replaced -2.4 + 4 with the answer

4. Divied -3b = 1.5

4. -3b/-3b = 1.5/-3b = -0.5

4. What you do to one side you have to do to the other so -3b/-3b is 0 or it just is not there anymore next you take -3b and divide it by 1.5 and get - 0.5 BAM.  

5. Plug -0.5 in for b.

5. -3(-0.5) + 2.5 = 4  

Answer:

A. 10

Step-by-step explanation:

y = 10

Im the best mathmatician at my whole college so you can trust me

Answer:

7  weeks

Step-by-step explanation:

Given data

Alyssa starts with $30 and saves $5 each week

let the number of weeks be x

y= 30+5x----------1

Bill has $16 and saves $7 each

week.

y= 16+7x----------------2

equate 1 and 2

30+5x= 16+7x

30-16= 7x-5x

14= 2x

x= 14/2

x= 7  weeks

Answer:

(1)=100

Step-by-step explanation:

5.2 divided by 10= 0.52 then divide by 10 = 0.052

so instead do 5.2 divided by 100=0.052

Answer: 100

Step-by-step explanation:

Since you change the decimal place two times to the right, you divide it by 100.

Answer:

3/10

Step-by-step explanation:

4/7 x 21/40

= 1/1 x 3/10

= 3/10

Step-by-step explanation:

Let w be the uniform width of the safety zone.

We have combined area = 10,800ft².

=> Combined area = Length * Width

= (80 + 2w)(50 + 2w)ft².

Therefore (80 + 2w)(50 + 2w) = 10,800.

=> 4,000 + 260w + 4w² = 10,800

=> 4w² + 260w - 6,800 = 0

=> w² + 65w - 1,700 = 0

=> (w - 20)(w + 85) = 0

=> w = 20 or w = -85

(w = -85 is rejected as width must be positive)

Hence the uniform width is 20ft.

Answer:

(-17,-14)

Step-by-step explanation: