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Answer:

SA = 225 cm²

Step-by-step explanation:

The given pyramid dimensions are;

The length of the rectangular base of the pyramid, l = 12 cm

The width of the base, w = 6 cm

The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²

The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm

The base length of the above triangle, b₁ = 12 cm

The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²

The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm

The base length of the above triangle, b₂ = 6 cm

The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²

The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂

Therefore;

SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²

SA = 225 cm²

Un binomio al cuadrado es una suma algebraica que se suma por sí misma, es decir, si tenemos el binomio a + b, el cuadrado de ese binomio es (a + b) (a + b) y se expresa como (a + b)2. ... Se le llama cuadrado perfecto, porque el resultado de su raíz cuadrada siempre es un binomio.

Answer:

3e

Step-by-step explanation:

Answer:

1/4 parts of cement

Step-by-step explanation:

Given :

3 parts of cement = 12 parts of sand

For each part of sand, let the part of cement used = x

Writing the relation in the form of cross multiplication :

3 = 12

x = 1

Cross multiply :

12x = 3

x = 3 / 12

x = 1/4

Hence, for each part of sand, 1/4 parts of cement is used.

Answer:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]-x^2-10x=34[/tex]

Step-by-step explanation:

The equations are:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]12x=9x^2+4[/tex]

[tex]-x^2-10x=34[/tex]

(a) [tex]3x^2-5x=-8[/tex]

Add 8 to both sides

[tex]3x^2 - 5x + 8 =0[/tex]

To do this, we simply calculate the discriminant (d) using:

[tex]d =b^2 - 4ac[/tex]

If [tex]d < 0[/tex]

Then it has complex roots

Where: [tex]a = 3; b = -5; c = 8[/tex]

[tex]d = (-5)^2 - 4 * 3 * 8[/tex]

[tex]d = 25 - 96[/tex]

[tex]d = -71[/tex]

[tex]-71 < 0[/tex] --- complex root

(b) [tex]2x^2=6x-5[/tex]

Equate to 0

[tex]2x^2 - 6x + 5 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-6)^2 - 4 * 2 * 5[/tex]

[tex]d = 36 - 40[/tex]

[tex]d =-4[/tex]

[tex]-4 < 0[/tex] --- complex root

(c) [tex]12x=9x^2+4[/tex]

Equate to 0

[tex]9x^2 - 12x + 4 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-12)^2 - 4 * 9 * 4[/tex]

[tex]d = 144 - 144[/tex]

[tex]d = 0[/tex] ---- real roots

(d) [tex]-x^2-10x=34[/tex]

Equate to 0

[tex]-x^2 - 10x - 34 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-10)^2 - 4 * (-1) * (-34)[/tex]

[tex]d = 100 - 136[/tex]

[tex]d = - 36[/tex]

[tex]-36 < 0[/tex] ---- complex root

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

Answer:

5

Step-by-step explanation:

Answer:

x^2               -2x              +5

Step-by-step explanation:

x^2               -2x              +5

           ----------------------------------------------------------

2x + 5  /    2x^3      +     x^2       +    0x         + 25

              -(2x^3      +   5x^2)

             ----------------------------

                                   -4x^2       +    0x        

                                 -( -4x^2      -    10x )

                                  -----------------------------------------

                                                          10x           + 25

                                                        -(10x            + 25)

                                                        ---------------------------

                                                                                  0

The desired quotient is x^2               -2x              +5

1 goes in the green space

70 goes in the gray space

==============================================

Explanation:

There are 5 gold and 350 total. That forms the fraction 5/350 which fully reduces to 1/70 after you divide both parts by the GCF = 5

A = 5, B = 350

The fraction 1/70 can be thought of like saying "There's 1 gold coins in 70 coins total" or "there's 1 gold coin for every 70 coins".

Then we could scale up like so

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

Answer:

The remainder is 7

Step-by-step explanation:

What we have to do here is to set g(x) to zero and solve for x

The value of x is then substituted into the polynomial p(x)

we have this as follows;

x-1 = 0

x = 1

P(1) = 1^3 -6(1)^2 + 9(1) + 3

P(1) = 1 - 6 + 9 + 3

P(1) = 7

This value is the remainder

Answer:

I'm thinking it's B

Step-by-step explanation:

Answer:

f (3) equals -11

Step-by-step explanation:

f (x) = -4x + 1

For f(3), just substitute 3 in the place of x:-

f (3) = -4 x 3 + 1

f (3) = -12 + 1

Answer:

-11

Step-by-step explanation:

where x is out -3 so it would look like

-4(3)+1

which is -11

you do -4 * 3 first which = -12 than add one you will get -11

so I think the answers ~ Garrett finishes his homework at 6:05.

only thats not an option so choose E because its the closest

hopefully this helps!!!

Answer: Choice A)  

y = -4x+1

=======================================

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

Answer:

10cm, 16 cm, 18 cm

Step-by-step explanation:

We have to find the sum of proportion: sum of ratios =

a : b : c = 5:8:9

Sum of proportion = 5 + 8 + 9

= 22

Length of side a

5/22 × 44 = 10 cm

Length of side b

8/22 × 44 = 16 cm

Length of side a

9/22 × 44 = 18 cm

Therefore: lengths of the sides of the triangle in cm are

10cm, 16 cm, 18 cm

Answer:

x°=40.7°

Step-by-step explanation:

Sin(x°)=15/23

x°=Sin^-1(15/23)=40.7°

Answer:

the answer is D

............

Answer:

The answer is (D)

Step-by-step explanation:

[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]

Answer:

7.33

Step-by-step explanation:

The number of teams formed by the total number of students will be 4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that centre, Middle School is having a pie eating contest and needs a team consisting of 5 people from Mrs Brown's classroom. There are 20 students in Mrs Brown's classroom.

The number of teams will be calculated as,

N = 20 / 5

Therefore, the number of teams formed by the total number of students will be 4.

To know more about an expression follow

https://brainly.com/question/28368096

#SPJ2

Answer:

4/5x+3

Step-by-step explanation:

remove the useless parenthesis, then calculate the x sum then the normal numbers sum

Answer:

Step-by-step explanation:

convert 1 day into hours

1 day=24 hour

2/24

=1/12

1 day = 24 hours

So,

Answer:

6 hours

Step-by-step explanation:

Research is 5%, Games is 25%, so the diffrence is 20%

20%  of 30 hours = 30 x2/10 = 6 hours

Tremaine played 6 hours more video games than research.

Answer:

F

Step-by-step explanation:

We can use a proportions to solve this problem:

time of researches (in percentages 100% is used to indicate the total)

5 : 100 = x : 30

x = (5 * 30)/ 100 = 1.5

time of games

25 : 100 = x : 30

x = (25 * 30)/100 = 7.5

7.5 - 1.5 = 6 hours

Answer:

use this to help you determine your answer

Step-by-step explanation:

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.

Answer:

r = 3.25

Step-by-step explanation:

Start by eliminating the decimal fraction 0.5:  2(0.5)(r + 2.75) = 2(3) = 6

Then we have r + 2.75 = 6.

Isolate r by  subtracting 2.75 from both sides.  This leaves us with

r = 6 - 2.75 = 3.25.

r = 3.25

Answer:hhhhhhhhhbbbbb

Step-by-step explanation:

44444444