Could someone please help me with the surface area of this prism

The order of the answers doesn't matter.

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Explanation:

a || b means the two lines a and b are parallel

If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.

Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.

Solve for x

|5x+15| = 100

5x+15 = 100 or 5x+15 = -100

5x = 100-15 or 5x = -100-15

5x = 85 or 5x = -115

x = 85/5 or x = -115/5

x = 17 or x = -23

The value of x is 17.

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.

Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.

Given:

<1 = 5x + 15

<2 = 100

Using alternate exterior angle

5x + 15 = 100

5x = 100- 15

5x = 85

x= 85/5

x= 17

Hence, the value of x is 17.

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Answer:

[tex]\sqrt{2}[/tex] or 1.414213

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer:

it's the last choice

Step-by-step explanation:

x int: (1/2,0) and y int (0,2)

Answer:

C. 8.66 in

Step-by-step explanation:

Using the formula of circumference of a circle

[tex]2\pi \: r [/tex]

then,

first find r by plagging in the given data.

so, r = 4.33 in

since it's diameter needed, then

r + r = d

4.33 in + 4.33 in = 8.66 in

4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Brandon feed

Answer:

a

Step-by-step explanation:

b

The equation can be solved to find the height of the lamppost 'h' is

D. tan52° = h/18

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information we have a reference angle of 52° opposite to it is the height(h) of the pole and a shadow which is the adjacent side is 18 feet.

We know, tan = opposite/adjacent.

Therefore, tan52° = h.18.

learn more about trig ratios here :

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Answer:

P = (12/27)*(11/26) = 0.188

Step-by-step explanation:

Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:

La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:

p = 12/27

Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)

Entonces ahora la probabilidad es:

q = 11/26

La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.

P = (12/27)*(11/26) = 0.188

Answer:

x = 1°

Step-by-step explanation:

Bisection means splitting the angle in to 2

So that means 4x-1 = 2x+1

4x-1 = 2x +1

4x = 2x + 2

2x = 2

x = 1°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

11

Step-by-step explanation:

this equation can be derived from the question

45 oz - 17.3 oz - 0.83x oz = 18.57 oz

where x = number of muffins made

combine like terms

45 oz - 17.3 oz - 18.57 oz = 0.83x

9.13 = 0.83x

x = 9.13 / 0.83

x = 11

[tex](y + 1)(y + 12)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

B

Step-by-step explanation:

Only 1 because

1/1 = 1

2/1 = 2

The answer can't be 0 because we can't divide by zero.

The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places

Same thing for the 4

Answer:

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}[/tex]

Step-by-step explanation:

Given expression is,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3[/tex]

By solving the given expression,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{5}{6}\times \frac{5}{1})^{-1}+3[/tex]

                     [tex]=(\frac{25}{6})^{-1}+3[/tex]

                     [tex]=\frac{6}{25}+3[/tex]

                     [tex]=\frac{6+(25\times 3)}{25}[/tex]

                     [tex]=\frac{81}{25}[/tex]

Answer:

11 inches

Step-by-step explanation:

V(cylinder) = πr²·h

2797.74 = 81π·h

h = 2797.74 ÷ 81π

h ≈11

Answer:

where is the question

have a good day :)

Step-by-step explanation:

Answer:

look

Step-by-step explanation:

I hope it's helpful , PLEASE MARK ME BRAINLIEST AND FOLLOW ME LOTS OF LOVE FROM MY HEART'AND SOUL DARLING TEJASVINI SINHA HERE ❤️

Answer:

44

14

19

47

Step-by-step explanation:

using trig functions

Answer is 2

If 8x = 16y

on rearranging question,

x/y = 16/8 = 2

Answer:

Pie charts

Step-by-step explanation:

A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:

1 1/3 mph

Step-by-step explanation:

distance = rate x time

5 = 3.75r

5/3.75 = r

r = 1 1/3 mph

Answer:

because she wants to reduce from the amount of it amd wants to use it much so she would have blue is not that much!

I don't know exactly but that is my suggestion

Answer:

The answer would be 3/8.

Answer:

79 is the value

Step-by-step explanation:

Answer:

θ = 0° , 60°

Step-by-step explanation:

[tex]\cos^2\theta + \sqrt{3}\sin \theta \cos \theta = 1[/tex]

[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 1 - 1[/tex]

[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 0[/tex]

[tex]=> (\cos^2 \theta - 1 )+ \sqrt{3} \sin \theta \cos \theta = 0[/tex]

[tex]=> -\sin^2 \theta + \sqrt{3} \sin \theta \cos \theta = 0[/tex]

[tex]=> \sin \theta(- \sin \theta + \sqrt{3}\cos \theta) = 0[/tex]

Now solve each part separately :-

1) [tex]\sin \theta = 0[/tex]

[tex]=> \theta = \sin^{-1}0 = 0[/tex]

2) [tex]-\sin \theta + \sqrt{3} \cos \theta = 0[/tex]

[tex]=> \frac{-\sin \theta + \sqrt{3}\cos \theta }{\cos \theta} = \frac{0}{\cos \theta}[/tex]

[tex]=> \frac{-sin \theta}{\cos \theta} + \frac{\sqrt{3} \cos \theta}{\cos \theta} = 0[/tex]

[tex]=> -\tan \theta + \sqrt{3} = 0[/tex]

[tex]=> -\tan \theta + \sqrt{3} + \tan \theta = 0 + \tan \theta[/tex]

[tex]=> \tan \theta = \sqrt{3}[/tex]

[tex]=> \theta = \tan^{-1}\sqrt{3} = 60[/tex]

∴ θ = 0° , 60°

Answer:

Solution given:

[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]

[tex] 1-sin^{2} \theta+\sqrt{3} sin \theta cos \theta = 1[/tex]

[tex] 1-1 +sin^{2}\theta=\sqrt{3} sin \theta cos \theta = 1[/tex]

[tex] Sin\theta(sin\theta -\sqrt{3}cos\theta)[/tex]

Either

[tex] sin\theta=\sqrt{3} cos \theta [/tex]

[tex] \sqrt{sin\theta}{cos \theta}=\sqrt{3} [/tex]

[tex] Tan \theta =\sqrt{3}[/tex]

[tex] Tan \theta =Tan 60,Tan(180+60),Tan (360+60)[/tex]

[tex] \theta =60°,240°,420°[/tex]

in terms of π is

[tex] \theta =⅓π,\frac{4}{3}π,[/tex]

Or

[tex] Sin\theta=1[/tex]

[tex]Sin\theta=Sin0° ,Sin180°[/tex]

In terms of π is

[tex]\theta=0π,π[/tex]

so

[tex]\theta=0π,⅓π,π,\frac{4}{3}π,[/tex]

Answer:

[tex]\sqrt{44+20}[/tex]

[tex]Add: ~44+20=64[/tex]

[tex]=\sqrt{64}[/tex]

[tex]Factor:\:64=8^2[/tex]

[tex]=\sqrt{8^2}[/tex]

[tex]\sqrt{8^2}=8[/tex]

[tex]ANSWER: 8[/tex]

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

hope it helps..

have a great day!!

Answer:

[tex]\sqrt{44+20}=\sqrt{64}=\sqrt{8²}=±8[/tex]

is a required answer.

Answer: I'm going to say 3

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

[tex]\frac{9}{60} = \frac{3}{20}[/tex]

[tex]\frac{3}{20} = 0.15\\[/tex]

[tex]0.15 = 15%[/tex]

Answer:

if it's given 60,

so 1%=6

so 15/10=9

so answer is 1.5

Answer:

42

Step-by-step explanation:

15/4 x 2/1 x 28/5 = 840/20 = 42

Answer:

Step-by-step explanation:

The inverse proportional formula is

[tex]y=\frac{k}{x}[/tex] where y is the number of cookies sold, and x is the price per cookie. If we fill in the info given, we can find what it is we are being asked.

When x = 4 (the price of each cookie is $4), 50 cookies are sold (y = 50). Filling in to solve for k:

[tex]50=\frac{k}{4}[/tex] so

k = 200. Using that value of k along with a price of 2 (x = 2), we can find the number of cookies sold, y.

[tex]y=\frac{200}{2}[/tex] so

y = 100 cookies sold when the price is $2 per cookie.

Answer:

80, I got it right so you should get it too

Answer:

Ok ok, I see. So the answer is -9.

Step-by-step explanation:

We know the expresion is:

-3(-2+5)

We need to distrubute the -3 to what is in the parthese.

When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:

-3*-2=6

and:

-3*5=-15

Which we can rewrite as:

(6-15)

Subtract 15 from 6 and you get -9:

6-15=-9

Sorry hope this helps!