Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=

→ Area of rectangle = Length * Width

Here given:

Here area:

Answer:

1071 m²

Step-by-step explanation:

The area of a rectangle is basically the length multiplied with the width. The length can be any side length, but the width must be the adjacent to the length. Thus, we can let the length be 63 meters and the width be 17 meters as the width is adjacent to the length.

⇒ Area of rectangle = Width × Length

⇒ Area of rectangle = 17 × 63

⇒ Area of rectangle = 1071 m²

Answer:

its simple just add all of the numbers and then divide it by the total frequency

Step-by-step explanation:

4+5+5+7+8+8+8+10+10

            8

=65

  8

=8.125

how many pieces of tape can be cutted.

[tex]5 \frac{1}{3} \div \frac{2}{3} [/tex]

[tex] = (5 + 0) + ( \frac{1}{3} + \frac{2}{3} )[/tex]

[tex] = 5 + \frac{1 + 2}{3} [/tex]

[tex] = 5 + \frac{3}{3} [/tex]

[tex] = 5 + \frac{3 \div 3}{3 \div 3} [/tex]

[tex] = 5 + \frac{1}{1} [/tex]

[tex] = 6[/tex]

therefore, 6 pieces of tape can be cutted.

Step-by-step explanation:

you could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, in total, we have

pi×r²×h

r being the radius (half the diameter), h being the height.

therefore, the volume of the given cylinder is

pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³

Answer:

14.7

Step-by-step explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]

This is 14.7 when rounded to the nearest tenth

Answer:

N/a^3/2

Step-by-step explanation:

loga(N/X)=3/2

N/X= a^3/2

X= N/a^3/2

Step-by-step explanation:

When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:

[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]

Then use the formula:

[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]

[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]

[tex]x = n {a}^{ - \frac{3}{2} } [/tex]

Answer:

915

Step-by-step explanation:

V=l*w*h V=1/2*b*h*l

V of the rectangular block: 15*5*8 = 600

V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5

When you double it, it cancels out the 1/2

157.5*2=315

315+600=915

It's 582ft I have noclue what dude is talking about

Step-by-step explanation:

50:1 scale drawing -> Both sides of the garden is shrinked by 50 times.

We can calculate the area of the shrinked scale drawing : 12 x 10.5 = 126 (cm2)

Since both sides are shrinked by 50 times -> The real area get shrinked by 2500 times.

So, we can find the real area : 126 x 2500 = 315000 (cm2)

Answer:

Step-by-step explanation:

The property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.

A rhombus is defined as a quadrilateral that has four equal straight sides with opposite sides parallel and equal opposite angles.

A rhombus with two 60 degree angles and two 120 degree angles can be split by one of its diagonals (the one that bisects the 120 degree angles) into two congruent, equilateral triangles.

Therefore, the property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.

Learn more about quadrilaterals here:

https://brainly.com/question/26690979

#SPJ2

Answer:

838 inches²

Step-by-step explanation:

Finding the area of the countertop including the hole

⇒ Area of countertop including hole: LB

⇒ Area of countertop including hole: (24)(48)

⇒ Area of countertop including hole: 1152 inches²

Finding the area of the hole (sink)

⇒ Area of hole: πr²

⇒ Area of hole: (π)(D/2)²

⇒ Area of hole: (π)(20/2)²

⇒ Area of hole: (π)(10)²

⇒ Area of hole: (π) x 100

⇒ Area of hole: 3.14 x 100 = 314 inches²

Finding the area excluding the hole

1152 - 314 = Area of countertop (excluding the hole)

838 inches² = Area of countertop (excluding the hole)

Answer:

-2x

Step-by-step explanation:

x-(-3)

-2x

answer will be -2x ok follow me

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

Step-by-step explanation:

y=4x + 3

it should have another one

Here the diameter = dm

Formula of circumference for circle: 2πr  or  πd

                                        where "d" is diameter and "r" is radius

For this question:

circumference:

Answer:

Lines can be divided in smaller segments by using ratios

The coordinates of B are:

The given parameters are:

The coordinate of B is calculated using:

So, we have:

Simplify fraction

Hence, the coordinates of B are:

Step-by-step explanation:

Answer:

I believe the answer is C, the area of a circle, because pi is irrational, and anything multiplied by it will always result in an irrational number.

Step-by-step explanation:

I hope this helps and please mark me as brainliest!

Answer:

3 7/8 liters

Step-by-step explanation: 3 7/8 liters because she first filled one container with 1 5/8 liters of rice and 2 1/4 liters on the other. Since you want to know how much she has in both you add 1 5/8 and 2 1/4. After that you convert 2 1/4 into 2 2/8 and add that to 1 5/8 to get 3 7/8 liters of rice.

Answer:

a - 5 and a - b is the required experssion

Answer:

a-(-5);

a+5

a-(-b);

a+b

Answer:

Hope the picture will help you.......

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

Answer:

139 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon :

sum = ( n-2) * 180      where n = number of sides

For this one there are 5 sides

    so  ( 5-2) * 180 = 540 degrees

angle U = 90 degrees

90  + 82  + Y  + 121 + 108 = 540         Y=139  degrees

Answer:

It is C. 139

Step-by-step explanation:

Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees

V=90+28=118 degrees

152+118=270 degrees

270+311=581

720-581=139 degrees

The answer is C. 139 degrees

Answer:I think it is the top one on the left

Step-by-step explanation:

Answer:

A) [tex]\tan \theta[/tex]

Step-by-step explanation:

[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]

Answer:

The answer is 1/27

Step-by-step explanation:

3^-3 can be written as 1/3^3 and 3^3 = 3x3x3= 27

Therefore, the answer is 1/27.

Answer:

27

If we multiply the number

=3*3*3

= 1/3 ^ -3

= 1/27

Answer:

q = 4

Step-by-step explanation:

given p and q vary inversely then the equation relating them is

p = [tex]\frac{k}{q}[/tex] ← k is the constant of variation

to find k use the condition p = 8 when q = 6 , that is

8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

48 = k

p = [tex]\frac{48}{q}[/tex] ← equation of variation

when p = 12 , then

12 = [tex]\frac{48}{q}[/tex] ( multiply both sides by q )

12q = 48 ( divide both sides by 12 )

q = 4

Answer:

4

Step-by-step explanation:

-