How do I find the height of a pentagonal prism with just an apothem of 11cm and a side length of 9.6cm

Answer:

Factorise:

3a(b+c)-4d(b+c)

Last one.

Further on:

(3a-4d)(b+c)

The factor 3ab + 3ac – 4db – 4dc can be grouped as

a(3b + 3c) - d(4b + 4c).

We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.

Given: 3ab + 3ac - 4db - 4dc.

Expanding the equation a(3b + 3c):  3ab + 3 a c

=3 a b+3 a c-d(4 b+4 c)

Expanding the equation -d(4 b+4 c): -4bd - 4cd

a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd

Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).

To learn more about factoring and grouping

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Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

Answer:

The alarm bell will ring at 473 psi.

Step-by-step explanation:

To answer this, find 215% of 220 pounds per square inch:

Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:

2.15(220 psi) = 473 psi

The alarm bell will ring at 473 psi.

Answer:for points vgunvh

Step-by-step explanation:

Answer:

1093.96

Step-by-step explanation:

900(1+.05)⁴=1093.955625

Answer:

The answer you are looking for is right here

Step-by-step explanation:

https://www.pinterest.com/pin/439734351089479667/

Answer:

where is the question . ..... we are ready to help you

Answer: [tex]36.86^{\circ}[/tex]

Step-by-step explanation:

Given

Coordinates  of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]

Answer: €800

Step-by-step explanation:

Since Joe gets 1.5 times the amount Tom gets and Tom is given a ratio with value 4, then Joe gets (4 × 1.5) = 6. Therefore, the ratio of Al, Tom and Joe will be 5:4:6.

Therefore, the amount that Tom gets will be:

= 4/(5+4+6) × €3000

= 4/15 × €3000

= €800

Therefore, Tom gets €800

Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

Answer:

You can use M a t h w a y. and you will get all the correct answers

Step-by-step explanation:

Hope this helps :)

Answer:

question 21:  29

question 16:  -1/729

question 15:  1/144

question 14:  1/64

question d=rt, solving for t:  answer is Letter G, t=d/r

Step-by-step explanation:

Hope this helps

Answer:

this can be solved by simple unitary method

[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]

Answer:

The answer for "b" is... B.

or 53˚

Step-by-step explanation:

Subtract 180 with 127

which is 53˚

Answer:

V =282.6 in ^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know pi = 3.14 r= 3 and h =10

V = 3.14* 3^2 *10

V =282.6

Answer:

3a^6

Step-by-step explanation:

Answer:

[tex]30 {a}^{6} [/tex]

Step-by-step explanation:

Hope it is helpful...

Not sure what the numbers are but the point is easy. On the horizontal line (x axis), go to point between -4 and -5. than draw a line up to the point 2 and 3 on the vertical line (y axis). Where the 2 line meet, that is where the coordinates are.

Answer:

I think the point should be plotted (between -4 & -5 in the X-axis) and (between 2 & 3 in the Y-axis)

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

[tex]AB\cong CD[/tex]                   (Given)

[tex]\angle BAC\cong \angle DCA[/tex]                   (Given)

[tex]AC\cong AC[/tex]                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

[tex]\Delta ABC\cong \Delta CDA[/tex]            [SAS congruence postulate]

Therefore, the correct option is B.

Answer:

Q

Step-by-step explanation:

5x+15y ≥ -20

Solve for y

15 y≥  -5x-20

Divide by 15

y ≥ -5x/15 -20/15

y ≥ -1/3 x -4/3

Y is greater than or equal to so shade above  and on the line

4x-2y > 6

Solve for y

-2y > -4x+6

y < 2x -3

Shade below the line

The double shaded area is the solution

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

Explanation:

Let's focus on the inequality 4x-2y > 6

Plug in (x,y) = (0,0) to find that...

4x-2y > 6

4(0)-2(0) > 6

0 > 6

This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).

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

Let's check the point (0,0) with the other inequality as well

[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]

This is true because 0 is to the right of -20 on the number line.

So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.

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

To summarize so far, we found that

The overlap is region Q which is the final answer

Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.

The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

f = {(a,b)| for all a ∈ A, b ∈ B}

Given,

[tex]f(x)=7x^3-14x+2[/tex]

Answer has shown in the attached file.

Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

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Answer:

I believe this question is asking for which of the following equations fits the situation, however since there is no equations given I solved it below.

The answer is 5.3 t-shirts

Step-by-step explanation:

$100 - $20 = $80

Audrey has $80 to spend on t-shirts.

80 / 15 = 5.3

Audrey can buy 5.3 t-shirts

Answer:

The square root of 37 minus the square root of 26

[tex]\sqrt{37} -\sqrt{26}[/tex]

Step-by-step explanation:

a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95

b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058

c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98

s) 3 square root 5 - square root 20 / square root 2 =

   3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=

   3.546

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

Answer:

It's 4+33-37 so that's the answer

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation: