-6(6x+8)= -10 simplified

Answer:

height of pyramid = 3 cm

height of prism = 9 cm

Step-by-step explanation:

Square Pyramid

surface area of 4 triangular sides of the pyramid = [tex]2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex]

(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)

Given [tex]a[/tex] = 8 cm

[tex]\implies \textsf{SA}=2\cdot8\sqrt{\dfrac{8^2}{4}+h^2}[/tex]

            [tex]=16\sqrt{16+h^2}[/tex]

Square Prism

surface area of square prism with one base = [tex]a^2+4ah[/tex]

(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)

Given [tex]a[/tex] = 8 cm and [tex]h[/tex] = 3h

[tex]\implies \textsf{SA}=8^2+4\cdot 8\cdot 3h[/tex]

Total surface area

total SA = SA of pyramid + SA of square prism

Given total SA = 432 cm²

[tex]\implies 432=16\sqrt{16+h^2}+64+96h[/tex]

[tex]\implies 368=16\sqrt{16+h^2}+96h[/tex]

[tex]\implies 368=16(\sqrt{16+h^2}+6h)[/tex]

[tex]\implies 23=\sqrt{16+h^2}+6h[/tex]

[tex]\implies 23-6h=\sqrt{16+h^2}[/tex]

[tex]\implies (23-6h)^2=16+h^2[/tex]

[tex]\implies 529-276h+36h^2=16+h^2[/tex]

[tex]\implies 35h^2-276h+513=0[/tex]

[tex]\implies (h-3)(35h-171)=0[/tex]

[tex]\implies h=3, h=\dfrac{171}{35}[/tex]

Inputting both values of [tex]h[/tex] into the equations for SA:

when [tex]h = 3[/tex]:

[tex]\textsf{pyramid}=16\sqrt{16+3^2}=80 \ \sf cm^2[/tex]

[tex]\textsf{square prism}=64+96(3)=352 \ \sf cm^2[/tex]

[tex]\textsf{total SA}=80+352=432 \ \sf cm^2[/tex]

when [tex]h=\dfrac{171}{35}[/tex]:

[tex]\textsf{pyramid}=16\sqrt{16+(\frac{171}{35})^2}=101.0285714... \sf cm^2[/tex]

[tex]\textsf{square prism}=64+96(\frac{171}{35})=533.0285714... \ \sf cm^2[/tex]

[tex]\textsf{total SA}=101.0285714...+533.0285714... =634.0571428... \ \sf cm^2[/tex]

Therefore, h = 3 only (since the total area is 432 cm²)

⇒ height of pyramid = 3 cm

⇒ height of prism = 3h = 3 × 3 = 9 cm

Answer:

I don't know which letter answer it is because it is unclear in the question, but the answer is:

28/100 for the fraction

0.28 for the decimal

Answer:

The sum of a number and its additive inverse is equal to 0.

Step-by-step explanation:

Answer:

b) [tex]a_{n}[/tex] = 2 + 2/5n

Step-by-step explanation:

Given :-

a = 12/5

d = 2/5

To Find :-

[tex]a_{n}[/tex]

Solving :-

[tex]a_{n}[/tex] = a + (n - 1)d

= 12/5 + 2/5n - 2/5

= 2 + 2/5n

Solution :-

b) [tex]a_{n}[/tex] = 2 + 2/5n

Answer: 1.25315*102

Step-by-step explanation:

Answer:

C, D and E

Step-by-step explanation:

Given equation:

[tex]\dfrac35(30x-15)=72[/tex]

Use the distributive law  [tex]a(b-c)=ab-ac[/tex]:

[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]

[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]

[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]

[tex]\implies 18x- 9=72[/tex]  ←  option c

Factor out common term 3:

[tex]\implies 3(6x- 3)=72[/tex]  ←  option d

Solve [tex]18x- 9=72[/tex]:

[tex]\implies 18x- 9+9=72+9[/tex]

[tex]\implies 18x=81[/tex]

[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]

[tex]\implies x=4.5[/tex]  ←  option e

Answer:

5c(3c-4)(c+2)

Step-by-step explanation:

We can factor the GFC out

15c^3+10c^2-40c

5c(3c^2+2c-8)

Then we can factor by quadratic trinomials

5c(3c-4)(c+2)

Answer:

Tjats is baout the circumfrence of nonsensical poop

Step-by-step explanation:

Answer:

what ever the first person have answer

Answer:

yes it is

Step-by-step explanation:

it can be written as a  fraction

Given Equation Is:

[tex] \: \: [/tex]

[tex] \: \: [/tex]

Now, Put the value of a = -4 and b = -3 in given eqn .

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.

The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.

So,

Then, using the expression:

[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]

The solution to the equation can be calculated as:

[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]

[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]

Divide both the numerator and denominator by (-1)

= 4

However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]

The solution to the equation will be as follows:

[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]

= -2 - 3

= -5

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Answer: x=3

Step-by-step explanation: 2x +4)° 2x-9)°​= 4x  2 +8x−9=3

 Pull out like factors :

  2x + 4  =   2 • (x + 2) (4 • (x + 2) • x) -  9

4x • (x + 2) -  9

Factoring  4x2+8x-9  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   4 • -9 = -36  

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is   8 .

     -36    +    1    =    -35  

     -18    +    2    =    -16  

     -12    +    3    =    -9  

     -9    +    4    =    -5  

     -6    +    6    =    0  

     -4    +    9    =    5  

     -3    +    12    =    9  

     -2    +    18    =    16  

     -1    +    36    =    35

x=3

The value of x for the given triangle is 37°.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

The sum of all interior angles of a triangle is 180°.

So,

x + 2x +4 + 2x-9 = 180°

5x - 5 = 180°

x = 37°

Hence "The value of x for the given triangle is 37°".

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Given question is missing an image attached below;

Answer:

[tex] - 2 \leqslant x < 5[/tex]

Step-by-step explanation:

The shaded part is after - 2 and the circle is shaded which indicate that x is greater than or equal to - 2. The shaded part before the 5 and the open circle indicate that x is also less than 5.

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Let's consider the information given:

            Total number of pencils = 4 * x = 4x

             Total number of pencils = 4 * (x + 3)

              4(x+3) = 36

Answer: 4(x+3) = 36

Hope that helps!

#LearnwithBrainly

Answer:

24m + 12

Step-by-step explanation:

Use the distributive property on 6(4m+1) to simplify it down to 24m +6

The equation is now 24m + 6 + 6

Simplify farther by adding the like terms 6 and 6

24m + 12

Answer:

24m+12

would be your answer

Step-by-step explanation:

hope this helps

Answer:

Y=45 X=90

Step-by-step explanation:

B is equal to C so it would be 45. Since the whole triangle must be 180 you subtract 45 and 45 from 180 and you get 90. Another way to tell C and B are the same is the 2 little lines on the sides.

Answer:

y=45°(angles opposite to equal sides are equal)

x+y+45=180(sum of the interior angles of a triangle is 180)

x+45+45=180

y+90=180

y=180-90

y=90

Step-by-step explanation:

Answer:

Substituition. (1,-5)

Step-by-step explanation:

Take y=-5 and plug it into the equation. 8x-25=-17. Solve equation; 8x=8. Simplify; x=1. Plug your x-values and y-values into parentheses. X first, then y. (1,-5).

Answer:

2.7n=8.1^n-7

thank you for the lovely question

Answer:

Step-by-step explanation:

Answer:

108 i think

Step-by-step explanation:

Answer:

108 inch.

Step-by-step explanation:

To make it a bit easier, I calculated the area of each side of the prism that was shown.

1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.

2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.

3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.

4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.

5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.

Hope it helped!!

It's tricky because everybody is used to seeing 50+50=100

50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103

Answer:

16 ounces

Step-by-step explanation:

x, quantity of the 5%

24-x, quantity of the 20%

5%x + 20%(24-x) = 10% of 24

.05x + .20(24-x) = .10 * 24

.05x + 4.8 - .20x = .10 * 24

4.8 -.15x = 2.4

2.4 = .15x

.15x = 2.4

x = 2.4/.15

x = 16

Answer:

24

Step-by-step explanation:

24

The total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).

The costume consists of either a pair of tights or a T-shirt with a scarf:

In this case total number of ways = 2×3×3 = 18

Pair of tights and a T-shirt without a scarf:

In this case total number of ways = 2×3 = 6

Total number of different costumes are possible:

= 18 + 6

= 24

Thus, the total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

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Cylinder volume = base area x height = pi x r² x h

so with r = 4 inches and h = 10 eaches

V = 3,14 x 4² x 10 = 502,40

Answer:

= 196 cm^2

Step-by-step explanation:

A= bh

= 14X14

= 196 cm^2

Answer:

20% discount

Step-by-step explanation:

Given the following question:

20% of 400

To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]

Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]

The dress has a "20% discount."

Hope this helps.

Answer:

Chemical Change-

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]

[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]

Cost per pound of rice = $0.45

[tex]8\dfrac12[/tex]  pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]

[tex]=\$3.825[/tex]

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

pounds of coffee costs  

Cost per pound of rice = $0.45

 pounds of rice costs =  

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.

This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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