1. What is the surface area of the sphere below?
12 cm

Answer:

The answer is AC = 3.76

Step-by-step explanation:

CohCahToa

Coh: sin(theta) = Opp/Hyp

sin(theta°) = AC/AB

sin(70°) = AC/4

AC = 4*sin(70°)

AC ≈ 3.758770483

AC = 3.76

Answer:

AC = 3.76

Step-by-step explanation:

The opposing side of ∠B needs to be found, where the value of the hypotenuse is given. Take the sin ratio.

An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of x in the given equation can be written as,

[tex]ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}[/tex]

Hence, the value of x is the equation ax-b=c is (c+b)/(a).

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Answer:

25/6

Step-by-step explanation:

Take the number on the left multiply by the denominator and add the numerator which is 4×6+1 =25

Reuse the same denominator which is 6 so 25/6

Work backwards: 25/6 to 4 1/6 (25 divide by 6 is 4 remainder 1 so 4 on the left and 1 as the numerator)

Answer:

25/6

Step-by-step explanation:

put the denominator as it is

its a tringale

Step-by-step explanation:

The prediction for the number of passwords in which the first character is a vowel is 56 passwords.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

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

The expected value and variance of X are:

[tex]E(X) = np\\[/tex]

Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.

Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).

Now as the computer produces 400 passwords, therefore, the predicted value can be written as,

[tex]E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56[/tex]

Hence, the prediction for the number of passwords in which the first character is a vowel is 56 passwords.

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Answer:

B. 5/12

Explanation:

Total Letters mixed: {S, E, M, I, T, R, O, P, I, C, A, L} = 12 Letters

There are 5 vowels and they are: 'a', 'e', 'i', ' o', and 'u'

In here the vowels are: E, I, O, I, A = 5 vowels here

So,

probability: number of favourable outcomes/total number of outcomes

probability: 5/12

434

because 7 times 31 will give u 217 and 217 divided by 4 will give an answer of 434.I hope my answer will help u.

Answer:

10 mm

Step-by-step explanation:

We know that the formula for a triangle is A= 1/2(b)(h)

Plug in 30mm for the area as shown and 6 for the base= 30=1/2(6)(h)

Solve= 30=3h

Divide each side by 3 to get h by itself. h=10 or b= 10

depends on which one is missing ^^

Answer:

486

Step-by-step explanation:

Answer: i think the answer should be A,

Step-by-step explanation: I feel like iv done this before sometime ago but i have a feeling its A, hope this helps ^_^

Answer:

22/25

Step-by-step explanation:

Well, you just convert the 88% into a fraction as probability is in fractions so 88% = 22/25

22/25

Step-by22/25-step explanation:

Answer:

A. each VIP ticket costs 125$

B. each Regular ticket costs 60$

Step-by-step explanation:

25A+70B=7325

40A+60B=8600

5A+14B=1465

2A+3B=430

10A+28B=2930

10A+15B=2150

13B=2930-2150=780

B=780/13=60

A=（430-3*60）/2=125

Answer:

The number of gallons of gas were in the tank minus 9 leves 3 gallons

I don't know that

Answer:

option A Is the answer

Step-by-step explanation:

Quantity of cup used per batch=3/4

No of batches=5/2

Hence number of cups=5/2×3/4

I hope it helped you

Hey there!

2 - 4 * 6

= 2 - 24

= -22

Option A.
7 * (5 - 2) + 6

= 7 * 3 + 6

= 21 + 6

= 27

Option A. is incorrect

Option B.
5 + 2 * 7 + 6

= 5 + 14 + 6

= 19 + 6

= 25

Option B. is also incorrect

Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6

= 49 - 6

= 43

Option C. is also incorrect

Option D.

6 - 2 + (7 * 5)

= 6 - 2 + 35

= 4 + 35

= 39

Thus, it seems like NONE of the ABOVE is correct

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

D. (2,5)

Step-by-step explanation:

it's correct go for it

Answer: You will have to multiply (a+b)×(a+b) . Thus is the formula

Step-by-step explanation: hope it is correct .

Answer:

(a+b)² = a² + 2ab + b²

Step-by-step explanation:

Hello!

This is one of three special binomial products:

All you have to do is expand the parenthesis, and this will give you a simple format to follow. This can be used to quickly factor the expanded forms, or quickly multiply the factored forms.

Answer:

The volume relates to the space inside a figure a measurement amount can take-up

Step-by-step explanation:

Answer:

x is 52°

Step-by-step explanation:

Answer:

The distance around the outside of the track is 4183.58m².

Step-by-step explanation:

The area of running track that goes around the field is 9.76m

To proof :

Formula -

(Area of rectangle = length × breadth)

(Area of running track = outside area - inside area)

First case (outside),

length = 73 +2× 9.76

= 92.52m

Breadth = 84.39 m

radius of outside semi circle,

= 46.26m

outside area = area of rectangle + 2 × area of the semi-circle

= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26

= 7807.76+6719.56

Second case,

radius of the semi-circle,

=36.5m

inside area = area of rectangle + 2x area of the semi-circle

=73x 84.39+ 3.14x 36.5×36.5

= 6160.47 +4183.27

= 10343.74m²

Now,

Area of running track = 14527.32 m²- 10343.74m²

= 4183.58m²

The distance around the outside of track is 4183.58m².

Step-by-step explanation:

z = 180° - 113° = 67°

sum of angles of quadrilateral shape = 360°

y = 360° - ( 67° + 81° + 106° ) = 106°

Answer:

m∠XWY = 70°

Explanation:

Two opposite interior angle sum up to one exterior angle on a straight line.

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

? + 45° = 115°

? = 115° - 45°

? = 70°

Answer:

The value of angle XWY = 70°

Step-by-step explanation:

=> angle XYZ + angle XYW = 180° { linear pair }

=> angle XYW + 115° = 180°

=> angle XYW = 180° - 115°

=> angle XYW = 65°

Now angle WXY + angle XWY + angle XYW = 180° { sum of angles of a triangle is 180° }

=> 45° + 65° + angle XWY = 180°

=> angle XWY + 110° = 180°

=> angle XWY = 180° - 110°

=> angle XWY = 70°

Answer:

the circumference is 69.08

Step-by-step explanation:

If 22 is the diameter, all u do to find the circumference is multiply the diameter by 3.14.

Answer:

34.54

Step-by-step explanation:

22 is diameter

formula for circumference is radius  times pi

2 radius=1 diameter

22/2=11

11*3.14=34.54

Answer:

[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Step-by-step explanation:

Equation of circle is:

[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \\ [/tex]

Here (h,k) are the coordinates of center and r is radius

(h,k) =(2,-5)

r. = 4

plug in the values of h,k and r

[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]

Answer:

[tex](x-2)^2+(y+5)^2=16[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Substitute the given values into the equation:

[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]

[tex]\implies (x-2)^2+(y+5)^2=16[/tex]