the sum of the reciprocals of two consecutive integers is -11/30

Answer:

X = 65

Step-by-step explanation:

2(65) + 15 = 145

ur welcome

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

We have,

The probability of getting a 6 and any color except a shade of blue:

This probability involves rolling a 6 on the die and getting any color except a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has four colors that are not shades of blue, the probability is (1/6) x (4/5) = 2/15.

The probability of getting a 5 and a shade of blue:

This probability involves rolling a 5 on the die and getting a shade of blue on the spinner.

Since the die has six equally likely outcomes and the spinner has one shade of blue section, the probability is (1/6) x (1/5) = 1/30.

The probability of getting an even number and a shade of blue:

This probability involves rolling an even number (2, 4, or 6) on the die and getting a shade of blue on the spinner.

Since the die has three even numbers and six equally likely outcomes, and the spinner has one shade of blue section, the probability is (3/6) x (1/5) = 1/10.

The probability of getting at least 3 and any color except a shade of blue:

This probability involves rolling a number greater than or equal to 3 on the die and getting any color except a shade of blue on the spinner.

Since the die has four outcomes (3, 4, 5, or 6) that satisfy this condition, and the spinner has four colors that are not shades of blue, the probability is (4/6) x (4/5) = 4/15.

The probability of getting at most 4 and yellow:

This probability involves rolling a number less than or equal to 4 on the die and getting yellow on the spinner.

Since the die has four outcomes (1, 2, 3, or 4) that satisfy this condition, and the spinner has one yellow section, the probability is (4/6) x (1/5) = 2/15.

Thus,

The probability of getting a 6 and any color except a shade of blue is 2/15.

The probability of getting a 5 and a shade of blue is 1/30.

The probability of getting an even number and a shade of blue is 1/10.

The probability of getting at least 3 and any color except a shade of blue is 4/15.

The probability of getting at most 4 and yellow is 2/15.

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Answer:

Khan academy

Step-by-step explanation:

The expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a right-angled triangle and its angles.

For the given situation,

From the diagram,

The right angle is at ∠C, so opposite to that side is hypotenuse.

If we consider angle at ∠B, then the side opposite to that side is opposite side and the other side is adjacent side.

Thus, Sin∠B = [tex]\frac{oppposite}{Hypotenuse}[/tex]

⇒  Sin∠B = [tex]\frac{AC}{AB}[/tex]

From the options, now check which options is equivalent to Sin∠B,

Option (A): tan(∠A)

Now, consider the angle at ∠A,

so,   [tex]tan(\angle A)=\frac{oppposite }{adjacent}[/tex]

⇒  [tex]tan(\angle A) =\frac{CB}{AC}[/tex]

Option A is not equivalent to sin(∠B).

Option (B): length of side adjacent to ∠A/length of hypotenuse

⇒ [tex]\frac{AC}{AB}[/tex]

Option B is equivalent to sin(∠B).

Option C: sin(∠A)

[tex]Sin(\angle A)=\frac{CB}{AB}[/tex]

Option C is not equivalent to sin(∠B).

Option D: AC/AB

Option D is equivalent to sin(∠B).

Hence we can conclude that the expressions that are equivalent to sin(∠B) are option (B) length of side adjacent to ∠A/length of hypotenuse and option (D) AC/AB are the correct answers.

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Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

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Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

Answer:

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Then that means diagonal DF = DA + FA

= 5 + 16

= 21cm

Step-by-step explanation:

The value of the other diagonal DF is 21.66 cm.

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

Given:

The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.

EG= 24 cm.

As, Diagonal ED divides the diagonal DF into two equal parts.

Now, Using  Pythagoras theorem in triangle DOG

x²/4 + y² = 13²= 169

and, Using  Pythagoras theorem in triangle EOD

x²/4 + (24 -y)² = 20²= 169

x²/4 + 576  -48y+ 169 - x²/4 = 400

-48y= -345

y= 7.1785

now, y²= 169 - x²/4

51. 6601 = 169 - x²/4

x/2 = 10.83

x = 21.66 cm

Thus, the other diagonal DF is 21.66 cm.

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Answer:

n[tex]\geq[/tex]8

Step-by-step explanation:

You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.

[tex]4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8[/tex]

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Answer: 180

Step-by-step explanation:

Given

The population of 45 foxes doubles in 10 year period

Population follows [tex]y=45\cdot 2^x[/tex]

After 20 years i.e. x=2  Population is given by

[tex]y=45\cdot 2^2=45\times 4\\y=180[/tex]

Thus, there will be 180 foxes after 20 years

Answer:

12.50 + 1.50x < 35

Step-by-step explanation:

X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.

Answer:

10 units

Step-by-step explanation:

Given data

The points are

M(-5,2) and N(5,2)

x1=-5

y1= 2

x2=5

y2= 2

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((5-(-5))²+(2-2)²)

d=√10²+0²

d=√100

d=10

Hence the distance is 10 units

Answer:

9

Step-by-step explanation:

Answer:

It D

Step-by-step explanation:

Answer:

-7.6

Step-by-step explanation:

Answer:

i think it is (d) - 24.1

Step-by-step explanation:

have a nice day

brainliest please?

Answer:

(-3,6)

Step-by-step explanation:

As  graph shows x=-3 and y=6  

Answer:

-3 to +6 is the answer to the question

Answer:

thank you siekrkekkekfjfkkfkfkfkfkkfk

ok

Answer:

muchas gracias los necesitaba xd

Answer:

Step-by-step explanation:

i think i would need to see a picture

Answer:

D. 12

a^2 + b^2 = c^2

so that will be 5^2 + b^2 = 13^2

so now that we have the equation we just solve it

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2 = 144

b = 12

5^2 + 12^2 = 13^2

25 + 144 = 169

so the answer is A) 12

Answer:

4

Step-by-step explanation:

ty

hav meme

Answer:

2 + 2 = 4

Step-by-step explanation:

Can I get brainliest mademoiselle?

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Answer:

m∠K = 97°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360

127 + 5x + 3 + 10x + 7 + 88 = 360

15x + 225 = 360

15x = 135

x = 9

m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Answer:

Step-by-step explanation:

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8.>

Answer:24 , 4

Step-by-step explanation:

Given

There are 4 objects

(a)When the order is relevant

We use permutation to get the no of ways, that is

Choosing 3 objects out of 4

[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]

(b) When the order is not important, the same thing can be done in

[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]

Answer:

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