Find the Surface area S of each prism (the numbers are 3,5,4,8)

Step-by-step explanation:

[tex] {f}^{ - 1} (x) = x \: value[/tex]

[tex]f(x) = \sqrt[4]{x} + 6 \\ [/tex]

[tex]x - 6 = \sqrt[4]{x} [/tex]

[tex] {(x - 6)}^{4} = x[/tex]

[tex] {f}^{ - 1}(x) = {(x - 6)}^{4} [/tex]

Answer:

I'm going to make an uneducated guess here.

I think the probability of two engines failing would be the same for either aircraft. In the instance that does happen, the helicopter doesn't fly at all and the airplane does.

I say the airplane is safer.

Step-by-step explanation:

So, the plane is safer than the helicopter.

The formula for finding the probability by Binomial distribution is,

[tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]

For Helicopter,

We need to calculate, Probability of safe landing, [tex]P(X = 0)[/tex]

Here, [tex]n = 2, p = 0.99, (1 - p) = 0.01\ and\ x = 1[/tex]

As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]

We need to calculate [tex]P(X \ge 1).[/tex]

[tex]P(X \ge1) = (2_C_1 \times 0.99^1 \times 0.01^1) + (2_C_2 \times 0.99^2 \times 0.01^0)\\P(X \ge1) = 0.0198 + 0.9801\\P(X \ge 1) = 0.9999[/tex]

For Plane,[tex]P(safe\ landing)[/tex]

Here, [tex]n = 4, p = 0.99, (1 - p) = 0.01\ and\ x = 2[/tex]

As per binomial distribution formula [tex]P(X = x) = n_C_x \times p^x \times (1 - p)^{(n - x)}[/tex]

We need to calculate P(X >= 2).

[tex]P(X \ge 2) = (4_C_2 \times 0.99^2 \times 0.01^2) + (4_C_3 \times 0.99^3 \times 0.01^1) + (4_C_4 \times 0.99^4 \times 0.01^0)\\P(X \ge 2) = 0.0006 + 0.0388 + 0.9606\\P(X \ge2) = 1\\[/tex]

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Answer:

my best guess would be B but I am so sorry if its incorrect

Answer:

UT = TW + WU = 27 + 27 = 54

WT = 27

ST = UT = 54

arc(XT) =  angle XZT = 52 degrees

arc(ST) = angle SZT = 104

arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208

I know it was super drawn out and there were probably quicker ways to do it, but I was justusing methods that came to mind rather than going for efficiency.  let me know if any part is confusing.  

Step-by-step explanation:

Let's start by just building on what we know

Since we know sv and vz can be made into the side of two triangles, SZV and TZV, we can use some similar triangle rules.

In SZV and TZV we know SZ = TZ since they are both radii, ZV = ZV because they are the same line and angle ZVS = angle ZVT since they are supplementary and one is 90 degrees.  This allows us to solve and see if they are congruent or not.  To do so we use the normal trig functions

sin(ZTV) = ZV/ZT = ZV/12

sin(ZSV) = ZV/SV = ZV/12

So the angles could be equal, but just to be sure lets look at all possible answers.  with sine an angle x gives the same result as 180-x.  Since both angles are acute thugh we know this can't be true so both angles are equal.    Now we can say both triangles are congruent by AAS.  Since they are congruent we can then confirm SV = VT.

In general you can say if a radii intersects a chord at a right angle then the intersection is a bisection.  So now we know VT = 27

We can use similar methods to show UW = WT and if you made two triangles ZWT and ZWU you will see they are congruent.  and since arc UT is 104 degrees that means angle UZT is 104 degrees.  Since ZW bisects UT and the two triangles are congruent ZW also bisects angle UZT so UZW = TZW = 52 degrees.

Now we have 4 triangles, SZV, TZV, ZWT and ZWU and we know SZV and TZV are congruent and ZWT and ZWU are congruent.  Now, if we can make one from each pair congruent we would knwo all four are congruent.  Since TZV and ZWT share a side  that's a good place to start.  Looking at these two  triangles we know those two sides are equal, and they both have a right angle.  Also we know VZ = ZW fromt he instructions, so this is again a chance to check with trig.

Let's look at angle ZTW and ZTV.

sin(ZTW) = ZW/ZT = 27/ZT

sin(ZTV) = VZ/ZT = 27/ZT

Using the same reasoning as before we can say that the two angles are equal, so the two triangles are congruent.  Now we can say a lot.

angle UZT = angle SZT = 104 degrees

angle SZV = angle VZT = angle TZW = angle WZU = 52

SV = VT = TW = WU = 27

Let's start solving.

UT = TW + WU = 27 + 27 = 54

WT = 27

ST = UT = 54

arc(XT) =  angle XZT = 52 degrees

arc(ST) = angle SZT = 104

arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208

Answer:

27 glasses

Explanation:

216 divided by 8 is 27

Answer:

13. 8

14.3

15.5

17.3

18.4

19.10

Step-by-step explanation:

Length of the plastic cube (L) = 12 cm

Volume of the cube

= L³

= ( 12)³

= 1728 cm³

Hope it will help :)❤

The value of the given expression is 5^(3/4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be resolved as shown below,

5² ÷ √5

[tex]= \dfrac{5^2}{\sqrt5}\\\\\\[/tex]

Using the law of exponents, [tex]\sqrt[n]{m} = m^{\frac1n}[/tex],

[tex]= \dfrac{5^2}{5^{\frac12}}\\\\\\[/tex]

Using the law of exponents, [tex]m^x\times m^y = m^{x+y}[/tex],

[tex]= {5^2} \times {5^{-\frac12}}[/tex]

Solving the powers,

[tex]= {5^{2-\frac12}}\\\\= 5^{\frac34}[/tex]

Hence, the value of the given expression is 5^(3/4).

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Solution:

Given ratio - 3:5

1 part = 3

2 part = 5

Total no. of parts = 3 + 5 = 8 parts

400 / 8 = 50

3 * 50 = 150

5 * 50 = 250

I think that's it :D

Answer:

1

Step-by-step explanation:

1/2 = 3/6

2/3 = 4/6

3/6 + 4/6 = 7/6

7/6 - 1/6 = 6/6 or 1

Answer:

Step-by-step explanation:

The supplement of 50° is the angle that when added to 50° forms a straight angle (180° ).

Answer:

4) 8

Step-by-step explanation:

In the formula y = mx + b, m is the slope and b is the y-intercept

m = 8

b = -1

If m = 8 and m is the slope, then the slope is 8

Step-by-step explanation:

Answer:

he bought 8 packs.

Step-by-step explanation:

1:2=x:16

x=16/2

the variable is x, the number of packs he bought

Answer:

the answer 0.035 g = 35 milligrams

Answer:

Step-by-step explanation:

35miligram in 0.035g

Answer:

The Answer Is D

Step-by-step explanation:

It kind of self explanatory .

Hillary is the fastest typer and D. Hillary can type 60 words per minute.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Shane can type 275 words in 5 minutes.

So, Shane can type (275/5) = 55 words per minute.

Also given that Hillary can type 240 words in 4 minutes.

So,  Hillary can type (240/4) = 60 words per minute.

Therefore, Hillary is the fastest typer.

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i can't type it in here, so i wrote in a paper for you

Answer:

y=1/3x

Step-by-step explanation:

Answer:

a = 30

2a = 60

3a = 90

Step-by-step explanation:

3a + 2a + a = 180 ( Sum of angles of a triangle is 180)

6a = 180

a = 180/6

a = 30

2a = 2 x 30 =60

3a = 3 x 30 = 90

Answer:

x= 90

Step-by-step explanation:

An angle inscribed in a semicircle is a right angle

x =1/2 (180)

x = 90

Answer:

20 grams will be left.

Step-by-step explanation:

Half-life is 11 days

This means that in each 11 days, you lose 50% of the amount.

33 days

33/11 = 3 half-lifes.

You start with 160 grams

After 11 days: 160/2 = 80 grams

After 22 days: 80/2 = 40 grams

After 33 days: 40/2 = 20 grams.

20 grams will be left.

Answer:10

Step-by-step explanation:

Answer:

8 HOURS EXTRA JUST DO P.E.M.D.A.S ;]

Step-by-step explanation:

Answer:

cute scalene triangle.

Sides: a = 1   b = 2   c = 1.906

Area: T = 0.94

Perimeter: p = 4.906

Semiperimeter: s = 2.453

Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad

Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad

Angle ∠ C = γ = 70° = 1.222 rad

Height: ha = 1.879

Height: hb = 0.94

Height: hc = 0.986

Median: ma = 1.888

Median: mb = 1.147

Median: mc = 1.262

Inradius: r = 0.383

Circumradius: R = 1.014

Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]

Centroid: CG[0.691; 0.329]

Coordinates of the circumscribed circle: U[0.953; 0.347]

Coordinates of the inscribed circle: I[0.453; 0.383]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad

∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad

∠ C' = γ' = 110° = 1.222 rad

Step-by-step explanation:

Answer:

d= s x t

=50km/h x 3h

= 150km/h

Answer:

giraffe's heart beat is faster

Step-by-step explanation:

maybe his crush has just mistakenly touched him

Answer:

A

Step-by-step explanation:

I did the math and i have no doubt

Answer:

32 degrees

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it c because i said so. and im right so the answer is C

Answer:

C. 3/8

Step-by-step explanation:

To solve think about how many sections there truly are. The 5 section represents 3 parts, the 2 section represents 2 parts, and the 1, 4, 3 sections represent 3 parts in total. This means overall there are 8 parts to this spinner. Since 5 takes up 3 of these 8 parts, the probability of the pointer landing on 5 is 3/8.