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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

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:

[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:

4/5x+3

Step-by-step explanation:

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

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

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

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x -7

7*5x -7*1

7(5x-1)

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x-7

7(5x-1)

Answer:

[-8]

Step-by-step explanation:

An absolute value of |x| {modulus of x} is the value of a real number x. The option A and C represents elevation, while B and D represents vertical distance from sea level.

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.

Given that you can use "-6 feet" to describe its elevation, and "|-6 feet|" to describe its vertical distance from sea level. Therefore, each of the number will describe the following things.

A. 25 feet → 25 feet above sea level

B. |25| feet → 25 feet from sea level

C. -8 feet → 8 feet below sea level

D. |-8| feet → 8 feet from sea level

Hence, The option A and C represents elevation, while B and D represents vertical distance from sea level.

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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:

7) Unfilled dot at 5 with a line going right

8) A filled dot at 8 with a line going right

9) Unfilled dot at 22 with a line going left

10) A filled dot 13 with a line going left

11) x < 9

12) x > 14

13) x ≤ 11

14) x ≥ 7

Step-by-step explanation:

> means greater than

≥ means greater than or equal to

< means less than

≤ means less than or equal to

If something is greater than the given number then the variable increases in value and will be on the right side of the number line

If something is less than the given number then the variable decreases in value and will be on the left side of the number line

If a variable is < or > the dot is unfilled because it does not include that number

If a variable is ≤ or ≥ the dot is filled because it includes the given number

Answer:

14

Step-by-step explanation:

First, find out how many she had to distribute

96 - 12 = 84

Now divide 84 by the number of students

84/6=14

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:

First Problem: 9

Second Problem: Not, Is, Is, Not, Not

Third Problem: n = 18

Step-by-step explanation:

First Problem: [tex]3^{6+4}/3^{8}[/tex] =3^2 = 9

Second Problem: 11^24

Third Problem: 7^30/7^12=7^n

There were 4 treatment conditions compared in the experiment.

When using independent-measures ANOVA (Analysis of Variance), the F-ratio is determined by contrasting the variability within and between treatment conditions.

The ratio of these two variances is known as the F-ratio.

Degrees of freedom (df) within a treatment condition are denoted as df within, and df between denotes the df between treatment conditions.

The formula for calculating the F-ratio is:

F = (Variance between groups) / (Variance within groups)

Given that the df between = 3 and df within = 40, we can use this information to find the number of treatment conditions (groups) compared in the experiment.

The number of treatment conditions (groups) can be calculated using the formula:

Number of groups = df between + 1

Therefore, in this case:

Number of groups = 3 + 1 = 4

So, there were 4 treatment conditions compared in the experiment.

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Answer:

(10, 8)

Step-by-step explanation:

The missing vertex can be found by plotting the given coordiantes on a graph.

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:

y=2x+14

Step-by-step explanation:

m=3-(-5)=2

   -1-(-5)

so the slope is 2

to write the equation

y-y1=m(x-x1)

we will take the mid

-5+(-1)=-6

-5+3=2

y-2=2(x-(-6))

y-2=2x+12

y=2x+14

Answer:

y  =2x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-5) / -1 - (-5)

8 / 4

2

y = 2x + b

3 = 2(-1) + b

3 = -2 + b

b = 5

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

Answer:

C

Step-by-step explanation:

thanks to the given informations we can say that the right triangle is half of an equilater one.

the height of the triangle can be find by multiplying the smallest leg with √3

so

x√3 = 8

x = 8/√3

that can be expressed as 8√3/3

8√3

3

Step-by-step explanation:

This triangle is 30-60-60 and to get side 8 is equal to x√3

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:

x°=40.7°

Step-by-step explanation:

Sin(x°)=15/23

x°=Sin^-1(15/23)=40.7°

Answer:

[tex]Pr(egg) = \frac{3}{14}[/tex]

Step-by-step explanation:

Given

[tex]Days = 14[/tex] --- 2 weeks

[tex]Eggs = 3[/tex] --- daily

Required

The experimental probability of getting 3 eggs tomorrow

This is calculated as:

[tex]Pr(egg) = \frac{Eggs}{Days}[/tex]

Substitute values for eggs and days

[tex]Pr(egg) = \frac{3}{14}[/tex]

Answer:hhhhhhhhhbbbbb

Step-by-step explanation:

44444444

Answer:

Step-by-step explanation:

convert 1 day into hours

1 day=24 hour

2/24

=1/12

1 day = 24 hours

So,

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

Answer:

A 4 digit PIN is selected. What is the probability that there are no repeated digits?

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are 10 × 10 × 10 × 10 = 104 = 10000 total possible PINs.

To have no repeated digits, all four digits would have to be different, which is selecting without replacement. We could either compute 10 × 9 × 8 × 7, or notice that this is the same as the permutation 10P4 = 5040.

The probability of no repeated digits is the number of 4 digit PINs with no repeated digits divided by the total number of 4 digit PINs. This probability is

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:

8.8in

Step-by-step explanation:

cube 571.787