Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40

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Work Shown:

cos(angle) = adjacent/hypotenuse

cos(B) = BC/AB

cos(B) = 5/13

Answer:

40320

Step-by-step explanation:

8! is equal to 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 , which equal 40320

Answer:

40320

Step-by-step explanation:

An exclamation point denotes a factorial, so multiply all the numbers less than or equal to  8  until you get to  1

[tex]8*7*6*5*4*3*2*1=40320[/tex]

Step-by-step explanation:

5b²+39b=8

<=> 5b²+39b-8=0

(5b-1)(b+8)=0

b = ¹/5 or b = -8

b=-8 and b=1/5.

Answer:

Solution given:

5b²+39b=8

5b²+39b-8=0

try to do middle term factorization.

it needs 40 while multiplication and 39 when subtraction.

it is 40-1 and 40*1

now

doing middle term factorization

5b²+(40-1)b-8=0

5b²+40-b-8=0

take common from each 2 term

5b(b+8)-1(b+8)=0

again take common and keep remaining in another brackets

(b+8)(5b-1)=0

either

b=-8

or

b=1/5

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Answer:

It would be A. 4.47

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Answer:

9a) 6 1/5

b) 6 4/7

c) 1 1/0

d) 4 1/8

e) 1 1/3

f) 3 1/6

10a) 15 years old

b) 14 1/6 years old

11) 8/3 = 2 2/3

7/5 = 1 2/5

2 2/3 + 1 2/5 = 4 1/15

12a) They ate 3 11/12 pizzas

b) They ate 1 1/3 more cheese pizzas than veg

Answer:

, hope u understand and happy

Answer:

Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more

Step-by-step explanation:

Step-by-step explanation:

Answer:

y^13/12 or y^1 1/12

Step-by-step explanation:

Convert the fractions to compatible bases. In this case, you can multiply the 3/4 by 3 making it 9/12, and multiply the 1/3 by 4 making it 4/12. If you add these now compatible fractions, you get 13/12. The base remains the same, I hope this helps!

Answer:

Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds

Answer:

Step-by-step explanation:

b/c she doesn't have to have exactly 50 pounds,  she can have any were from 0 to 50 pounds  in each suit case.   They are not going to charge her more, if she only brings 49 pounds :DDDD  It's the same charge up to and including 50 pounds.  If she brings 51 pounds then maybe she would get charged more :P    But not for 50 pounds or less .  :)  Make sense?

Answer:

10 inches

Step-by-step explanation:

Surface Area = π R² + π R L [ L is Slant Height ]

200 π = π (10)² + π (10) L

200 π = π (100) + π (10) L

200 π - 100 π = 10 π L

100 π = 10 π L

100 π / 10 π = L

10 = L

L = 10 inches

Hope this Helps......

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Given terms :

Now, we know

[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]

(note : " l " represents slant height.)

Therefore, Measure of slant height (l) :

[tex] \huge \boxed{10 \: \: in \: }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

17/52 (Answer B)

Step-by-step explanation:

There are four queens and 13 hearts.  The probability of drawing a Queen is thus 4/52 (= 1/13); that of drawing a Heart is 13/52 (= 1/4).  

The probability of drawing either is 1/13 + 1/4, or 4/52 + 13/52, or 17/52 (Answer B)

Answer:

4^-5

Step-by-step explanation:

4^-3 = 1/4^3

1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5

Answer:

45cm2

Step-by-step explanation:

10x7(base x height)=70

70/2=45

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

Answer: B: -4 by -4 by -4

Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);

4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.

-4 by -4 by -4

Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right

Answer:[tex]376.80\ mm^3[/tex]

Step-by-step explanation:

Given

The height of the cone is [tex]h=10\ mm[/tex]

The radius of the cone is [tex]r=6\ mm[/tex]

Volume of cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]

Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]

For an impossible event, the possible favorable outcomes is 0. So,

[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]

[tex]P=0[/tex]

For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,

[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]P=1[/tex]

Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.

Answer:

Step-by-step explanation:

no of days                                                   no of men

30                                                                         20

24                                                                             20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore  5 more men are needed to complete the work in 24 days                

Answer:

Step-by-step explanation:

Answer:

[tex]m\angle ADB=58^{\circ}[/tex]

Step-by-step explanation:

For an angle with a point on the circle, the measure of that angle is equal to half the measure of the arc it forms. Since angle ADB forms an arc AB that measures [tex]116^{\circ}[/tex], the measure of angle ADB equals [tex]\frac{116}{2}=\boxed{58^{\circ}}[/tex]

Step-by-step explanation:

ADB=116/2(inscribed angle is half of it's arc)

Answer:

3:42

Step-by-step explanation:

Answer: It is a rectangle.

Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.

Answer:

the surface area of the square is "378"

Step-by-step explanation:

2×(9×9 + 9×6 + 9×6) = 378

Answer: true

Step-by-step explanation:

Answer:

Multiplication of fractions do not require the same denominator, or the bottom number of the fraction, like addition and subtraction does. Instead, you would simply multiply the denominators and the top numerators.

Answer:

y = -1x -5

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-5) / 4 - 0

-4 / 4

-1

y = -1x + b

-5 = -1(0) + b

-5 = 0 + b

b = -5

y = -1x -5