Find the area of each figure.
20 points

Answer:

see explanation

Step-by-step explanation:

substitute n = 1, 2 into the sum rule

1² + 2(1) = 1 + 2 = 3 , then

a₁ = 3

2² + 2(2) = 4 + 4 = 8 , then

a₁ + a₂ = 8

3 + a₂ = 8 ( subtract 3 from both sides )

a₂ = 5

then

common difference d = a₂ - a₁ = 5 - 3 = 2

First term is 3 and common difference = 2

Answer:

  95 in²

Step-by-step explanation:

The total area of a pyramid is the sum of the areas of the triangular faces and the area of the base.

__

Here, each triangular face has a base of 5 in, and a slant height of 7 in. Its area will be given by the area formula for a triangle:

  A = 1/2bh

  A = 1/2(5 in)(7 in) = 35/2 in² . . . . area of one of four congruent faces

__

The area of the base is that of a square with 5-inch sides. It is given by the formula ...

  A = s²

  A = (5 in)² = 25 in²

__

Then the total surface area is .

  area of base + 4 × triangle area

  = 25 in² + 4(35/2 in²) = 95 in² . . . . . surface area of the pyramid

Answer: 1.406, 5.369

Step-by-step explanation:

edg22

When you use a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time will be  1.406, 5.369.

A graphing calculator is known to be a kind of handheld computing device that is used for  plotting of graphs, handling simultaneous equations, etc.

Note that by inputting those numbers such as  Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 , following the right equation on the graphing calculator, one can be able to construct a 95% confidence interval for μMajor – μMinor = and the the true difference in the mean healing time will be found to be 1.406, 5.369.

Learn more about calculator from

https://brainly.com/question/27370687

#SPJ2

Answer:

The mode is the number that appears the most.

Therefore the answer is 7.

Answer:

7

Step-by-step explanation:

the mode is the number that appears the most in a data set. In this data set the number that appears the most is 7.

Answer:

When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\frac{4}{5} + \frac{2}{5} = \frac{6}{5} \\Simple make it improper, resulting in answer A[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

The total shaded area = area of the square - area of a circle

= 9^2 - π * 4.5^2

= 17.3827

The 2 shaded parts both have area 8.69 unit^2 ( to nearest hundred)

Perimeter:

The perimeter of the top shaded part

= AB + 1/2 circmference of the circle

= 9 + 1/2 * 2 π r

= 9 + 14.137

= 23.14 units ( to nearest hundredth)

The bottom part has the same perimeter.

Answer:

Step-by-step explanation:

You want the perimeter and area of the part of a 9 cm square remaining after a semicircle is removed from two opposite sides.

The shaded area is the area of the 9 cm square less the area of a 9 cm circle. That area is ...

  A = s² -  π(s/2)² = s²(1 -π/4) . . . . . where s is the side length of the square

  A = (9 cm)²(1 -π/4) ≈ 17.38 cm²

The area is about 17.38 cm².

The perimeter is the circumference of the circle plus two sides of the square.

  P = C +2s

  P = πs +2s = s(π+2)

  P = (9 cm)(π+2) ≈ 46.27 cm

The perimeter is about 46.27 cm.

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Answer:

23.3786

Step-by-step explanation:

tan33° = x÷36

x = tan33°×36

x = 23.3786

Answer:

23.36

Step-by-step explanation:

We have three things on the diagram :

When the opposing side length and adjacent side length is given, always use the tan ratio.

First, find the numerical value of tan(33°)

Solving :

Answer:

$21

Step-by-step explanation:

1) Find the amount spent.

"Two fifths" = 2/5

So, he spent 2/5 of 35.

= 2 x 35 / 5

= 70 / 5

= 14

2) Subtract 14 from 35, since 35 is the total amount of money he had.

= 35 - 14

= 21

Answer:

$21

Step-by-step explanation:

Given that:

Max went to a shopping mall with $35 in his wallet.

He spent two fifths of the money he had in his wallet at the bookstore.

To Find:

How much money, in dollars, did he have left?

Solution:

Let the left money that max have = x

Base on the given:

$35-(2/5)×$35=x

⇒ $35-($2×7)=x

⇒ $35-$14=x

⇒ x=$21

Hence, max has $21 left.

Kavinsky

Answer:

1 true 2true 3false 4true 5 true

Answer:

1: True 2: False 3: True 4: True 5: False

Answer:

135 Cubic Inches

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Answer:

About 29 feet.

Step-by-step explanation:

tan 60 = 50 / h

h = 50/ tan 60

= 28.87 ft

Answer:

-     8/4x^6-5x^5+2

Step-by-step explanation:

Answer:

t = 3 seconds

Step-by-step explanation:

You can think of this as a quadratic and find the zeros. i will use x and y to make it easier.

y = -16x^2 + 48x

y = (x)(-16x+48)

y = (-16)(x)(x-3)

This means your zeros are at x = 0 and x-3 = 0, so 0 and 3.

0 is when the ball leaves the ground, so 3 is when it returns.

Answer: 5/9

Step-by-step explanation:   10             6

                                              ------  x ----------- = 5

                                                12           9         -----

                                                                            9

=0605hrs

= 2320hrs

= 1200hrs

= 2218hrs

have a nice day!

a. 06 05

b. 23 20

c. 12 00

d. 22 18

Answer:

Area= 7

Explanation: area of triangle is A=bh/2

b=2 h=7

7 x 2 = 14/2 = 7

Answer:

12.57x² units²

Explanation:

area of circle: πr²                  ["r" denotes radius]

diameter: 2r

Given,

diameter: 4x

radius: 4x/2 = 2x

Area of circle:

πr²

π(2x)²

π(4x²)

4πx²

12.57x²

Answer:

4πx² square units

Step-by-step explanation:

Area of a circle

The formula uses the radius of the circle, but we have the diameter. Remember the relation :

Now, we can solve.

[tex]-\dfrac 17 - x = \dfrac{11}{14}\\\\\implies x = -\dfrac 17 - \dfrac{11}{14}\\\\\implies x= -\dfrac{13}{14}\\\\\text{Hence,}~x = -\dfrac{13}{14}~ \text{should be subtracted.}[/tex]

Answer:

16384

Step-by-step explanation:

Here is how you do it : (2*2*32)^(2)

Answer:

C.

Step-by-step explanation:

5 liters divided by 8.

5 divided by 8 = 5/8

Answer: 5/8 liter

Answer: Would the total be 20 Students? What exactly is the question

Step-by-step explanation:

10 + 10 = 20

Answer:

-2

Step-by-step explanation:

[tex]5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63 =-2[/tex]

Let's solve this equation.

Step 1

Move the numbers to the right:-

5x=2x-3-3

Step 2

Move the x's to the left

5x-2x=-3-3

Notice I use the opposite operation :)

Step 3

Combine like terms

3x=-6x

Step 4

Divide both sides by 3

x=-2

That's the value of x that makes the equation true.

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

See below, please

Step-by-step explanation:

Volume

[tex] = (x + 12) \times (x + 3) \times 2x[/tex]

[tex] = ( {x}^{2} + 15x + 36) \times 2x[/tex]

[tex] = 2 {x}^{3} + 30 {x}^{2} + 72x[/tex]

Answer:

4A - 8 = 3A + 4

Step-by-step explanation:

Answer:

31/5

Step-by-step explanation:

3x+9=-2x+40

when you solve the equation, you get 31/5!

Please mark as brainliest if you can. Hope this helps!

The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.

The equation that represents a linear relationship is: a + bx

Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.

Looking at the table, the average final grade does not increase by a constant term.

To learn more about linear functions, please check: https://brainly.com/question/26434260

Answer:

10: 12 units^2 11: 33 units^2

Step-by-step explanation:

10:

Divide into square and 2 triangles (for simplicity)

square=9

one triangle=3/2

both triangles combined=3

9+3=12

11:

divide into 2 triangles

top triangle: height= 4, base=6

bottom triangle: height= 7, base=6

top=12

bottom=21

Add, 33.

Answer:

i pretty sure its   6

                       8x

Step-by-step explanation:

i did the research

Here

Common part is 8 and x⁶

Now

Factor out

GCF=8x⁶