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If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

Mathematically, the volume of a pyramid is given by the formula:

[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]

For the base area:

The area of a right triangle is given by:

[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

Hi there!

Part D:

We can use the Taylor Polynomial expansion for a second-degree polynomial:

[tex]P_3(x) = g(c) + \frac{g'(c)}{1!}(x - c) + \frac{g''(c)}{2!}(x - c)^2[/tex]
Where c is the value that the polynomial is centered about.

We are given that:
[tex]g(c) = 1\\\\g'(c) = 0\\\\g''(x) = 2[/tex]

Therefore:
[tex]P_3(x) = 1 + \frac{0}{1}(x - 2) + \frac{2}{2!}(x - 2)^2\\\\\boxed{P_3(x) = 1 + (x - 2)^2}[/tex]

Answer:

the first answer is commutative property of addition and the second answer is commutative property of multiplication

Step-by-step explanation:

hope this helps

have an awesome day -TJ

if you need anymore help just let me know

pls mark brainliest :)

Answer:

0.255+45=0.300

or

0.255 - 0.045 = 0.210

Answer: $355.39

Step-by-step explanation: subtract 174.25,180.96,184.24 from 8194.84 =

Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

56 2/3-5

So, Length=51 2/3

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

First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

[tex]\pmb{7u}[/tex]

Now, subtract 4:

[tex]\pmb{7u-4}[/tex]

This expression equals 17:

[tex]\pmb{7u-4=17}[/tex]

[tex]\rule{200}{2}[/tex]

[Now, let's Find the Value of u]

First, add 4 to both sides:

[tex]\pmb{7u=21}[/tex]

Now, divide both sides by 7:

[tex]\pmb{u=3}[/tex]

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

Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

3/1/5

3×5/1

15/1

15 you don't need diagram

Hello! I believe your answer is x= -4 so B

===

Hope this helps and feel free to give feedback

Answer:

x = -4

Step-by-step explanation:

Answer:

30 pesos

Step-by-step explanation:

Given

Solving

Answer:

x is 5 and y is 6

Step-by-step explanation

we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y

Answer:

Y -- 6

X -- 5

Step-by-step explanation:

we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5  = 11 - 5 = 6.

we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5

Answer:

18x

Step-by-step explanation:

j=18

k=x

18xor18

I do not understand this question

Answer:

Box 1. 2x

Box 2. -13 (1/3) or (-40/3)

Box 3. 2x

Box 4. (2/3)x

Box 5. 3

Box 6. 3

Box 7. -20

Box order left to right.

Step-by-step explanation:

(5/3)x + (1/3)x = 13 (1/3) + (8/3)x

add numberator ( top number ); keep the denominator the same ( bottom number )

Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)

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

Line 2. -13 (1/3) = (8/3)x - 2x

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

Ex. 3 × (-13) = 39 - 1 = (-40/3)

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

Line 3. (-40/3) = (2/3)x

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

Line 4. (3) (-40/3) = (2/3)x (3)

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

               -40 = 2x

               ÷2     ÷2

Line 5.    -20 = x

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

Sorry if this is a little confusing. I hope this helped!

Step-by-step explanation:

2

-13/1/3 ; 2

2/3

3 ; 3

-40

hope it help

Answer:

Step-by-step explanation:

The area of the scale drawing given the scale of the square is 64cm^2.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Dimensions of the scale drawing =  original dimensions / scale of the drawing

16 cm / 2 = 8cm

Area = 8 x 8 = 64cm^2

A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

.

Answer:

Step-by-step explanation:

Answer: 48.

Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side.  48 is at the the tip of the left whisker.  Therefore, that's your answer.

Hope this helps! :)

i dont understand your question

Answer:

[tex]f(x)=-5x^2+20x[/tex]

8.75 m

Step-by-step explanation:

Given ordered pairs:  (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)

From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant.  Therefore, the relation is not linear.

As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.

The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).

Creating an equation using the x-intercepts:

[tex]f(x)=a(x-0)(x-4)[/tex]  where [tex]a[/tex] is some constant

[tex]\implies f(x)=ax(x-4)[/tex]

[tex]\implies f(x)=ax^2-4ax[/tex]

Creating an equation using the vertex form:

[tex]f(x)=a(x-2)^2+20[/tex]

[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]

Equating constants to determine a:

[tex]4a+20=0 \implies a=-5[/tex]

Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]

When x = 0.5:

[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]

                 [tex]=-1.25+10[/tex]

                 [tex]=8.75[/tex]

Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m

Answer:

I think so Option D is the correct answer

Answer:

d = 12.6 ft

Step-by-step explanation:

From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.  

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.

Pythagoras Theorem

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

where:

Therefore, use Pythagoras Theorem to find the measure of d.

Given values:

Substitute the given values into the formula and solve for d:

[tex]\implies d^2+18^2=22^2[/tex]

[tex]\implies d^2+324=484[/tex]

[tex]\implies d^2=484-324[/tex]

[tex]\implies d^2=160[/tex]

[tex]\implies d=\sqrt{160}[/tex]

[tex]\implies d=12.6491106...[/tex]

Therefore, d = 12.6 ft (nearest tenth).

Learn more about Pythagoras Theorem here:

https://brainly.com/question/27648540

https://brainly.com/question/27988757

Answer:

Step-by-step explanation:

Scale factor = 4 : 500

                    = 1 : 125

Let the length of hall in her plan = x cm

1 : 125 = x : 1050

[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]

Cross multiply,

1*1050 = x*125

[tex]\sf x =\dfrac{1050}{125}[/tex]

x = 8.4 cm

The length of the hall in her plan = 8.4 cm

Answer:

144

Step-by-step explanation:

[tex]x^2+24x +144\\\\=x^2 + 2\cdot 12x +12^2\\\\=(x+12)^2[/tex]

Answer:

1•7

Step-by-step explanation:

Answer Accorfing ti te pasaje we no get:

Answer:

t=9

Step-by-step explanation:

Solve -

Distribute :7-(5t - 13) = - 25

7 - 5t + 13 = - 25

Add the numbers :7 – 57 + 13 = -25

20-51 = -25

Rearrange terms :20-51 = -25

-51+ 20 = -25

Subtract 20 from both sides :-51 + 20 = -25

-51+20-20-25-20

Simplify :Subtract the numbers

-51+ 20-20-25-20

-5:=-25-20

Subtract the numbers

-51 = -25-20

-51 = -45

-51 = -45

Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =

Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5

t = - 45 - -5

Divide the numbers :

t = - 45 - -5 ” t=9 ” here’s the answer

Answer:

(x-8) and (x+3)

Step-by-step explanation:

To find the binomials of the trinomial, we just need to factor in the trinomial.

First,

x² -5x - 24

Then split it, so the terms add to -5 and multiply to -24

x² +3x -8x - 24

Then factor x in the first part, and -8 in the second part.

x(x+3) - 8(x+3)

Factor again

(x-8)(x+3)

Answer:

Step-by-step explanation:

Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).

So, the factors are  3 and (-8)

When we add  3 +(-8) = -5  ; we multiply we get (-8)*3 =(-24)

Replace the middle terms with the factors.

x² - 5x - 24 = x² - 8x  + 3x - 24

                  = x(x - 8) + 3(x - 8)

                 = (x - 8)(x+3)

Answer: <

Step-by-step explanation:

f(x) ⇒ a*f(x)

This results in a vertical stretch, or compression.

*There are multiple correct answers when asked about a, or vertical stretches/compressions.

We could say the following:

Both of the above responses are correct.

We're given:

In this case, 0 < a < 1.

True and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.