4. What is the volume of the pyramid?
7 ft
9 ft
10 ft

Answer:

(a²-a+1)(a²+a-1)

Step-by-step explanation:

[tex]Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\[/tex]

Explanation:

The notation [tex]a_1 = 10[/tex] says that the first term is 10.

The notation [tex]a_n = a_{n-1}+3[/tex] is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.

This sequence is arithmetic due to the common difference d = 3.

Answer:

Step-by-step explanation:

a1=10

a_{n}=a_{n-1}+3

n=2

[tex]a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19[/tex]

Answer

25mm of rain fell each second

Step-by-step explanation:

we know that 500 mm fell in 20 minutes

so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:

500/20 = 25

therefore, 25mm of rain fell each minute

hope this helped:)

Answer:

25 mm per minute

Step-by-step explanation:

Take the amount of rain and divide by the number of minutes

500/20

25 mm per minute

Answer:

3/7

Step-by-step explanation:

there are is a total of 7 socks and 3 are blue making blue socks be 3/7

Answer:

1)-4x+4

2) C

3)E

4)A

Step-by-step explanation:

Hope it helps

Answer:

16

Step-by-step explanation:

First use the Pythagorean theorem a^2+b^2=c^2.

12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.

Step-by-step explanation:

using pythogoras theory

hyp^2=opp^2+adj^2

you have been given the hyp and the opp so lets make the unknown x

20^2=12^2+x^2

400 =144+x^2

make x the subject of the formula

400-144=x^2

266=x^2

x=the square root of 266

The formula is N×x power n-1

5x⁴+0

5x⁴

Answer:

B. 11

Step-by-step explanation:

3  7  11  14  16  16  18  21  22  23  27

Answer:

It tells you that 1000g are in 1 kg. All you need to do is convert your 15 kg to 15000 g.

Answer:

Step-by-step explanation:

1 kg = 1000 g

15 Kg = 15 *1000 = 15000 g

7.75 g = 1 cm³

1 g = 1 ÷ 7.75 cm³

15000 g = [tex]\frac{1}{7.75}*15000 = 1935.48[/tex]

              = 1935 cm³

Inner diameter = 6 cm

Inner radius = r = 6/2 = 3 cm

Outer radius = R = inner radius  + thickness

  R = 3 + 2 = 5 cm

Volume of cylindrical pipe = 1935 cm³

[tex]\pi h*(R +r)(R - r) = 1935\\\\3.14 * h *( 5 + 3)(5 - 3) = 1935 \\\\3.14 * h * 8 *2=1935\\\\h = \frac{1935}{3.14*8*2}\\\\h = 38.52 = 39[/tex]

h = 39 cm

Answer:

D

Step-by-step explanation:

Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h

If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Let say

Base width is = w

Height is = h

Volume V = w²h/3

Given

14 = w²h/3

For volume to be 28

28 = w²(2h)/3

So it is clear that he needs to double the height.

To learn more about pyramids,

https://brainly.com/question/17615619

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Answer:

The first table

x 3 4 6 1 7 8 1 2

y 5 9 3 2 7 6 4 5

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

[tex]\\ \sf\longmapsto -5x+x+9=-4x+12[/tex]

[tex]\\ \sf\longmapsto -4x+9=-4x+12[/tex]

[tex]\\ \sf\longmapsto -4x+4x=12-9[/tex]

[tex]\\ \sf\longmapsto 0=3[/tex]

[tex]\\ \sf\longmapsto \Phi[/tex]

(h ,k) —> (2 , –5)

g(x)=3x²-12x+7 —> y= 3(x-2)²-5

y=a(x–h)²+k —> a= 3 , h=2 , k= –5

(h ,k ) —> (2, –5)

I hope I helped you^_^

Answer:

C, Option 2, or (2,-5)

Step-by-step explanation:

edge 2021

Answer:

Yes, PQR ~ TSV with a scale of 1 : [tex]\sqrt{3}[/tex]

Step-by-step explanation:

Yes the triangles are congruent for the statement given in option C

The scale 1 : [tex]\sqrt{3}[/tex] shows that the side lengths are proportional

PQ/TS = QR/SV

3[tex]\sqrt{3}[/tex]/6/[tex]\sqrt{3}[/tex] and that's simplified as 1/[tex]\sqrt{3}[/tex]

Answer:

C. 2(x-3) (x-4)

Step-by-step explanation:

From my solution

The given expression is divisible by 2 all through

so 2 is factorised and then the other expression: x²-7x+12

can be factorised as a quadratic equation

-7x is same as -3x-4x

Also, [-3 * -4 = 12]

Answer:

The answer is......

COS A

Answer:

C. 9.5

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2.

4^2 + 8.6^2 = c^2

16 + 73.96 = c^2

c^2 = 89.96

c = 9.4847....

Answer:

4%

Step-by-step explanation:

(8700 - 7500)/4 = 300

300/7500 = .04

Answer:

i) where the digits can repeat

1. 30

2. 50

3. 33

4. 55

5. 35

6. 53

ii) where the digits cannot be repeated

1. 30

2. 50

3. 35

4. 53

Answer:

i dont know

Step-by-step explanation:

ask sssniperwelperer562

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

Answer:

4096

Step-by-step explanation:

8^6÷8^2

First step is to solve the exponents

8 to the power of 6 is 262144

8 to the power of 2 is 64

Then divide 262144 by 64 : 4096

Answer:

it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n

so 8 to the power 6-2

= 8 to the power 4

that will be 4,096

The parametric equation of the line10x - y = 20 is given as y = 2.5t - 5

parametric equation are equations where the dependent variable is expressed in terms of independent variable

say dependent variable y = f(t)

independent variable x = t

Given data

10x - 4y = 20

solution

10x - 4y = 20

10x - 20 = 4y

4y = 10x - 5

y = 2.5x - 5

where x = t

y = 2.5t - 5

Read more on parametric equations here: https://brainly.com/question/12953407

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Answer:

Step-by-step explanation:

So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!

I hope this helps!! Have a good rest of your day! :)

1:-

[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]

[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]

[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]

[tex]\\ \sf \longmapsto 0=2[/tex]

[tex]\\ \sf \longmapsto r=\infty[/tex]

2:-

[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]

[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]

[tex]\\ \sf \longmapsto 0=0[/tex]

[tex]\\ \sf \longmapsto x=\infty[/tex]

1 liter = 1000mL

Divide 1000mL by mL per minute:

1000 / 5 = 200 minutes ( 3 hours and 20 minutes)

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK