A tree initially measured 18 feet tall. Over the next 3 1/2 years

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

[tex] \theta = 20 [/tex]

Thus,

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(20) = \frac{87}{a} [/tex]

Multiply both sides by a

[tex] tan(20) \times a = \frac{87}{a} \times a [/tex]

[tex] tan(20) \times a = 87 [/tex]

Divide both sides by tan(20)

[tex] \frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)} [/tex]

[tex] a = \frac{87}{tan(20)} [/tex]

[tex] a = 239.03 [/tex]

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

[tex] \theta = 57 [/tex]

Thus,

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(57) = \frac{87}{b} [/tex]

Multiply both sides by b

[tex] tan(57) \times b = \frac{87}{b} \times b [/tex]

[tex] tan(57) \times b = 87 [/tex]

Divide both sides by tan(57)

[tex] \frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)} [/tex]

[tex] b = \frac{87}{tan(57)} [/tex]

[tex] b = 56.50 [/tex]

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

Answer:

Step-by-step explanation:

You get the slope right away, just by reading it.

y = 1/4 x + b

To solve for b, you use the point 4,5

5 = 1/4 * 4 + b       Substitute 4 for x

5 = 1 + b                Subtract 1 from both sides

5-1 = 1-1 + b

b = 4

The line is y = 1/4 x + 4  

Answer:

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

Answer:

the answer is 156 meters

Maybe can u give me brainliest?

Answer:

B:

Step-by-step explanation:

A pool is filled (which signifies the increase) a little time later (still full, flat line) it is emptied (the decrease) and then refilled (increase)

Answer:

343

Step-by-step explanation:

3*3*3*3*3=243

Answer:

I have given the answer in the chat box as i was not able to post officialy

Step-by-step explanation:

Answer:

i can't understant the question

Step-by-step explanation:

Answer:

For the first part

1.) Negative

2.)zero

3.) undefined

4.) positive

The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.

The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.

The slope formula is y=mx+b. M is the slope while b is the y-intercept.

Step-by-step explanation:

Shapes having four lines of symmetry is :

[tex]{ \underline{ \boxed{ \green{ \sf{square}}}}}[/tex]

A square has 4 lines of symmetry

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles

Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance

A square has 4 line of symmetry which is shown in the figure

Hence, the square has 4 line of symmetry

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The probability of each outcome in the sample space is 1/20

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

Total number of students:

n(S) = 5

The probability of selecting one student would be,

P(A) = 1/5

Now, there are 4 students.

n(S) = 4

So, probability of selecting second student from remaining 4.

P(B) = 1/4

Hence, the probability of each outcome in the sample space would be,

1/5 × 1/4  = 1/20

Therefore, the probability of each outcome in the sample space is 1/20

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Answer:

-0.391 < x < 0.391

Step-by-step explanation:

The Maclaurin series for cosine is:

cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!

So the next term would be -x⁶/6!.  When the absolute value of this is less than the error:

│-x⁶/6!│< 0.000005

x⁶ / 720 < 0.000005

x⁶ < 0.0036

-0.391 < x < 0.391

Answer:

The answer is 15/19

Step-by-step explanation:

Both 60 and 76 are divisible by 4:

60/4 = 15 and 76/4 = 19

Final answer; 15/19

Answer: it has no solutions

Step-by-step explanation:

Factor then solve to find the complex solutions.

You're right; the answer is the first choice.

Answer:

first option ,  $57.6

Step-by-step explanation:

$80 x 0.20 = $16

$80 - $16 = $64

$64 x 0.10 = $6.4

$64 - $6.4 = $57.6

above solution is the exact steps on the first option.

therefore the final price of the jacket is $57.6

Answer:

x=(4p+34)/2

p=(2x-34)/4

Step-by-step explanation:

2x-14=4(p+5)

2x-14=4p+20

2x=4p+34

If you are solving for x, it would be:

2x/2=4p+34/2

x=(4p+34)/2

If you are olving for p, it would be:

2x-34=4p

Divide 4 from both sides:

(2x-34)/4=p or p=(2x-34)/4

Answer:

1) +80

2) -1520

Step-by-step explanation:

Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.

Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.

1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.

2) We are told that A car corporation produced 1520 fewer cars this month than last.

Thus, the signed number will be negative since there is a decrease in number of cars.

Thus, signed number = -1520

Answer:

11

Step-by-step explanation:

Here,

11 is the nth term as it is the last term shown in the sequence

Answer:

[tex]\bold{\dfrac{63}{32}\ sq\ inches}[/tex]

Step-by-step explanation:

Given that:

Width of stamp = [tex]\frac{7}{8}[/tex] inches

Length of stamp = [tex]\frac{3}{4}[/tex] inches

It is well known that a stamp is in the form of a rectangular shape.

Area of a rectangular shape is given by the following formula:

[tex]Area = Width\times Length[/tex]

Also, there are 3 identical stamps on the envelop, therefore we need to find the area of one stamp and then multiply it with 3 to find the required area.

Required area:

[tex]3\times \dfrac{7}{8}\times \dfrac{3}{4}\\\Rightarrow \bold{\dfrac{63}{32}\ sq\ inches}[/tex]

Answer:

-2

Hope this helps,

PumpkinSpice1

The slope of the line will be ( -1 / 2 ). The correct option is C.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 0 - 3 ) / ( 6 - 0 )

Slope = -3 / 6 = -1 / 2

Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.

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Answer:

A

Step-by-step explanation:

Unit Test on a Edge today. ; )

Answer:

its A

Step-by-step explanation:

i got a 100  on my quiz

Answer:

101+102+103+104+105= 515

Step-by-step explanation:

the fifth number is counting by 5 each time so you can just count by 5s till you reach 21: 5 (1),10 (2),15 (3),20 (4),25 (5) and so on then once you reach 21 which is 105 you count back from 105 to find the first number then add them all together. This is a simple non-equation solution, I'm sure if I sat there for more than 2 minutes I could think of an equation but it's easier this way, and the problem doesn't require it.

Answer:

The least common multiple of 12 and 18 is 36. The greatest common divisor of 12 and 18 is 6.

The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is 42

We have to given that,

To find sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18.

Since, Factors of 12 and 18 are,

12 = 2 x 2 x 3

18 = 2 x 3 x 3

Hence, The least common multiple of 12 and 18 = 2 x 3 x 2 x 3 = 36

And, The greatest common divisor of 12 and 18 = 2 x 3 = 6

So, The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is,

36 + 6

42

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