Find the area of this quadrilateral. Explain or show your strategy.

Answer:

$29.40

Step-by-step explanation:

4 * 2.70 + 6* 3.10= 10.8+18.6=29.4

Answer:

38/5

Step-by-step explanation:

15 x 3 = 45 + 3 = 48/15

then 4 + 5 = 20 + 2 = 22/5

22/5 + 48/15 = ?

find the common denominator  

15 ÷ by 3  so you do the same to the numerator so, 48 ÷ 3 = 16

then keep the 22 and 16 and put it as 16/5 and 22/5 and add them to get 38/5

hope this helps

Answer:

Area = 3x² + 7x + 3

Perimeter = 8x + 8

Step-by-step explanation:

The figure can be decomposed into two: a large rectangle and a smaller rectangle.

✍️Dimensions of the large rectangle:

Length = (x + 1) + x = x + 1 + x = (2x + 1)

Width = (x + 3)

Area = length × width

Area = (2x + 1)(x + 3)

Expand

2x(x + 3) +1(x + 3)

2x² + 6x + x + 3

Area = 2x² + 7x + 3

✍️Dimensions of the large rectangle:

Length = x

Width = x

Area = length × width

Area = x × x = x²

✍️Area of the figure = area of the large rectangle + area of the smaller rectangle

Area of the figure = (2x² + 7x + 3) + x²

Area of the figure = 2x² + x² + 7x + 3

✅Area = 3x² + 7x + 3

✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x

✅Perimeter = 8x + 8

Answer:15,605

Step-by-step explanation:4000(1+.065/12)^21*12

4000(1+0054)^252

Answer:

Question 1: $2 / Question 2: $7.5

Step-by-step explanation:

$5 is the original 100%, what Noah has, and if Elena has 40% of what Noah has, then they have 0.4 the amount, 5x0.4=2. It should be the same for Diego but instead 150%, or 5x1.5, which equals 7.5

Answer:

Terms: 8, (-x²), x, (-4x)

Like terms: x and (-4x)

Step-by-step explanation:

A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.

Like terms are terms that have the same variables and power like x.

Answer: 50%

Step-by-step explanation:

$60 - $40 = $20

$20/$40 = .50  x 100 = 50%

Answer:

376

Step-by-step explanation:

47 times 8 would be the number of miles that the family took in 8 trips.

Answer:

[tex]ln(4)+2\,\,ln(y)[/tex]

(the first option of the list)

Step-by-step explanation:

Using the properties of logarithms (first the logarithm of a product and then the logarithm of a power, we write:

[tex]ln(4\,y^2)=ln(4)+ln(y^2)=ln(4)+2\,\,ln(y)[/tex]

which agrees with the first option in the list of possible answers.

Answer:

[tex]\frac{10}{83}[/tex]  

I hope this helps!

Answer: -16t^2 + 30t + 6

Step-by-step explanation: just substitute it...also did Edge

The height of the ball given by the polynomial describes the projectile

motion of the ball.

The polynomial that models the height of the ball Min throws, in feet is presented as follows;

Reasons:

The given polynomial for the height of the ball is; h(t) = -16·t² + v·t + h₀

Where;

v = The initial velocity of the ball

h₀ = The initial height

t = The time in seconds

The polynomial that models the height of the ball Min throws is given by substitution of the values of v, h₀, in the above equation as follows;

The height of the ball is; h(t) = -16·t² + 30·t + 6

Learn more about the equation of a projectile here:

https://brainly.com/question/12892867

Answer:

[tex]\huge\boxed{82 \textdegree}[/tex]

Step-by-step explanation:

We know that all angles in a triangle will add up to 180°. Since we know the measure of all 3 angles, we can create this equation:

[tex]31+x+(x-15) = 180[/tex]

Let's solve for x.

Combine like terms:

[tex]31+2x-15=180[/tex]

Add 15 to both sides:

[tex]31+2x=195[/tex]

Subtract 31 from both sides:

[tex]2x=164[/tex]

Divide both sides by 2:

[tex]x= 82[/tex]

So x is 82°.

Hope this helped!

Answer:

7620

Step-by-step explanation:

Answer:

x= -2/3 or x=-2/3y

Step-by-step explanation:

i assume this meant solve for x

start by setting the y value as 0 then isolate the x

Answer:

5/7

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

Answer:

8 out of 11

Step-by-step explanation:

Answer:

See steps below

Step-by-step explanation:

WS ⊥ MH , HS = SM ......... Given

<HSW = <MSW = 90  .....  From WS ⊥ MH

Triangle HWS = Triangle WMS .... SAS  theorem

<M = <H  .... based on triangle congruency, and angle opposed to equal side WS

Answer:

Width = [tex]7\frac{11}{16}[/tex] inches

Step-by-step explanation:

Given

[tex]End_1 = 2\frac{3}{4}[/tex]

[tex]End_2 = 10\frac{7}{16}[/tex]

Required

Determine the width of frame in between

To do this, we simply calculate the difference between both ends:

i.e.

[tex]Difference = End_2 - End_1[/tex]

This gives:

[tex]Difference = 10\frac{7}{16} - 2\frac{3}{4}[/tex]

Convert to improper number

[tex]Difference = \frac{167}{16} - \frac{11}{4}[/tex]

Take LCM

[tex]Difference = \frac{167 - 44}{16}[/tex]

[tex]Difference = \frac{123}{16}[/tex]

[tex]Difference = 7\frac{11}{16}[/tex]

Hence, the width of the frame is [tex]7\frac{11}{16}[/tex] inches

Answer:

The 3 digit numbers are;

171, 152, 133, 114, 285, 266, 247, 228, 209, 399

Step-by-step explanation:

Let the 3 digit number be xyz

Since x is the Hundreds digit, y is the tens digit and z is the unit digit, we have;

100x, 10y and z

We are told the sum of this is equal to 19 times the sum of their digits.

Thus;

100x + 10y + z = 19(x + y + z)

100x + 10y + z = 19x + 19y + 19z

This gives;

81x - 9y - 18z = 0

Divide through by 9 to get;

9x - y - 2z = 0

x = (2z + y)/9

Now, we will need to select values of z and y between 0 to 9 in such a way that (2z + y) is divisible by 9 and in such a way that x > 0 but ≤ 10

The possible solutions are;

At z = 1, y = 7 and x = 1

At z = 2, y = 5 and x = 1

At z = 3, y = 3 and x = 1

At z = 4, y = 1 and x = 1

At z = 5, y = 8 and x = 2

At z = 6, y = 6 and x = 2

At z = 7, y = 4 and x = 2

At z = 8, y = 2 and x = 2

At z = 9, y = 0 and x = 2

At z = 9, y = 9 and x = 3

Compiling all these, the 3 digit numbers are;

171, 152, 133, 114, 285, 266, 247, 228, 209, 399

Answer:

33.333....   or   33 33/100

Step-by-step explanation:

10 potatoes makes 15 pounds of mashed potatoes can be written like 10/15

and that means x potatoes make 50 pounds of mashed potatoes

so it looks like 10/15=x/15

so 10times20divided by15=x

x=

Answer:

A. $0.5

Step-by-step explanation:

In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar

The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.

So the correct answer would be gotten from $1/2rolls

= $0.50

Answer:its 4/8

Step-by-step explanation: i put it it worked

Answer:

a) point estimate for the population proportion of all customers who experienced an interruption

E = 0.029

b)

90% confidence interval for the proportion of all customers who experienced an interruption

(0.11441 , 0.16319)

C)

Size of the sample 'n' = 509

Step-by-step explanation:

Step(i):-

a)

An Internet service provider sampled 540 customers and found that 75 of them experienced an interruption in high-speed service during the previous month.

Sample proportion

                           [tex]p = \frac{x}{n} = \frac{75}{540} = 0.1388[/tex]

The point estimate of all customers who experienced an interruption

                         [tex]E = \frac{Z_{\alpha }\sqrt{p(1-p)} }{\sqrt{n} }[/tex]

  Level of significance

                          Z₀.₀₅ = 1.96

                         [tex]E = \frac{1.96\sqrt{0.138(1-0.1388)} }{\sqrt{540} }[/tex]

                         E  =  0.029

b)

90% confidence interval for the proportion of all customers who experienced an interruption

[tex]( p - Z_{0.10} \sqrt{\frac{p(1-p)}{n} } ,p + Z_{0.10} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex]( 0.1388 -1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} } ,0.1388 + 1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} })[/tex]

( 0.1388 - 0.02439 , 0.1388 + 0.02439)

(0.11441 , 0.16319)

c)

Margin of error

                   [tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

                   [tex]0.03 = \frac{1.96 \sqrt{0.1388(1-0.1388)} }{\sqrt{n} }[/tex]

                   √n = 22.58

Squaring on both sides, we get

                 n = 509