Mathematics College

## Answers

**Answer 1**

**Answer and Step-by-step explanation:**

This problem involves the use of trigonometric functions.

First, we will use the tangent trig function, and then the sine trig function.

[tex]tan(32) = \frac{x}{15}[/tex]

We solve for x by multiplying both sides by 15.

15(tan(32)) = x

Put this into a calculator and solve.

x = 9.373

Now, we solve for y.

[tex]sin(32) = \frac{9.373}{y}[/tex]

We multiply by y on both sides first.

y(sin(32)) = 9.373

Now, we divide each side by sin(32).

[tex]y = \frac{9.373}{sin(32)}[/tex]

Put this into a calculator and solve.

y = 17.6877

**x = 9.373**

**y = 17.6877**

These are your answers.

#teamtrees #WAP (Water And Plant)

## Related Questions

Can anyone help explain this my daughter is 7 does not understand it

### Answers

it’s basically addition. in the first square , you put the number that adds with 426 to make 726. the second square you add 10 to the 726 and put the answer there. third square you put the number that adds with the answer in the second square to equal 741.

What’s the value of X on the parallelogram below?

### Answers

**Answer:**

I think x is 34.75.

**Step-by-step explanation:**

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by

(25t2 + 150t + 100)/(t2 + 6t + 24)

A) Find the rate at which Glen Cove's population is changing with respect to time.

B) What will be the population after 10 years?

C) At what rate will the population be increasing when t = 10?

### Answers

**Answer:**

See explanation

**Step-by-step explanation:**

We have that;

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

a) rate at which Glen Cove's population is changing with respect to time.

dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

b) population after 10 years

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)

P(t) = 4100/184

P(t) = 22283

c) when t = 10

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2

dP/dt = 13000/33856

dP/dt = 0.384

Lorrie bought 3 1/2 yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner. How many inches of ribbon did Lorrie use for the banner?

### Answers

**Answer:**

7 ft 11 inches

**Step-by-step explanation:**

Convert 3 1/2 yards into 10 ft 5 inches.

Subtract 2 ft 6 inches from 10 ft 5 inches.

Lorrie used 88 inches of **ribbon **for the **banner**.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, **dividing**, and **multiplying **built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given that Lorrie bought 3 1/2 yards of **ribbon**. She had 2 feet 6 inches of ribbon **left **after trimming a **banner**.

We have to determine the **number **of **inches **of ribbon did Lorrie use for the banner.

Here the quantity of ribbon bought by Lorrie = 3 1/2 yard = 3.5 yard

The quantity of ribbon she has left**.**

⇒ 2 ft 6 inches

⇒ 2×12 + 6

∵ 1 feet = 12 inches

⇒ 30 inches

Since we know that 1 yard = 36 inch

So 3.5 yard = 36×3.5 inches = 126 inches

The quantity of ribbon which is **trimmed **:

⇒ 126 - 30 = 88 inches

Therefore, Lorrie used 88 inches of **ribbon **for the **banner**.

Learn more about **Arithmetic operations** here:

brainly.com/question/25834626

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Leann wants to gift wrap a present she got for her little brother how many square inches of gift wrap will be needed to cover a box that is 4in by 6in by 2in

### Answers

**Answer:**

48 square in.

**Step-by-step explanation:**

so first off you do 4x6 and you get 24 now you want t do 24x2 and get 48

The point

P

is on the unit circle. If the y-coordinate of

P

is

−

3

5

, and

P

is in quadrant IV , then

### Answers

If the **y-coordinate** of P is −3/5, and P is in quadrant IV, then x = 4/5

How to find the coordinate of a unit circle?

In Trigonometry, the **unit circle** is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.

Now, we are told that the point P is on the **unit circle** and also we know that the **length** of the line from P to the **origin** is exactly 1 unit.

We're also given a y-coordinate as, y = -3/5.

The y-coordinate denotes the length of a **perpendicular line** from point P to the x-axis.

If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:

x² + y² = h²

Making x the subject gives;

x = √(h² – y²)

Plug in the relevant values h = 1 and y = -3/5 to get;

x = √(1)² – (-3/5)²

x = √1 – 9/25

x = √16/25

x = 4/5

We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such x is positive.

Thus, x = 4/5

Read more about **Unit Circle Coordinate** at; https://brainly.com/question/26284611

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William receives a weekly allowance according to the following formula: For each day that he remembers to do his chores, he eams 51.50, and for each day that he doesn't remember to do his chores, he loses

50.25. What amount of allowance would William receive for a week in which he remembers to do his chores on five days and forgets to do them on two days?

### Answers

answer = 150.75

50.25 * 5 = 251.25

50.25 * 2= 100.5

251.25-100.5= 150.75

Solve 3 - x=-9

a. x=16

b.x=12

c.x=-6

d.x=12

### Answers

**Answer:**

3 - x =-9

3+ 9 =x

x = 12

so, correct answer

x =12

Oh gosh lol lol did it say hi

A scientist changes the temperature of a solution at a rate of

-6°C per minute. How many minutes will it take for the solution's

temperature to change from 0°C to -54°C?

A 9 min

B 324 min

C 60 min

D 48 min

### Answers

**Answer: A 9 min**

**Step-by-step explanation: 54/6=9**

** (9) **

**-6-6-6-6-6-6-6-6-6****=-54**

What is 0.36¯¯¯¯ expressed as a fraction in simplest form

### Answers

**Answer:**

I think this is probably late, but the answer is 4/11.

Step-by-step explanation:

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

When 0.3636363636363 is multiplied by 100, the decimal moves from in front of the number 36 and moves behind it. So the answer is now 36.36363636

You're suppose to subtract those two minus each other, the denominator

the fraction is technically 36/99, but simplified version is 4/11. So the answer is indeed 4/11.

Thanks for your time!

**Step-by-step explanation:**

**Answer:**

*:0.36 repeating can be expressed as 36/99*

**Step-by-step explanation:**

*0.36 is equal to 36100, but you can simplify it further by dividing 36 and 100 by 4 to get 925 *

PLS HELP I WILL BRAINLIEST 15 PTS

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 2nd hour to the 6th hour? Be sure to include the correct units of measurement.

a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75

17 hours

68 dollars

17 dollars per hour per hour

68 dollars per hour per hour

### Answers

**Answer:**

17

**Step-by-step explanation:**

A **slope **is also known as the **gradient **of a line. The correct option is C, **17 dollars** per hour.

What is Slope?

A **slope **is also known as the **gradient **of a line is a number that helps to know both the **direction **and the steepness of the line.

The **average **rate of change for the **data **from the 2nd hour to the **6th hour **is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

= 68/4 dollar per hour

= 17 dollars per hour

Hence, The **average **rate of change for the **data **from the 2nd hour to the **6th hour **is 17 dollars per hour.

Learn more about **Slope of Line:**

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hey what is better butter or cheese?

i really need to know its argent!!!

### Answers

**Answer:**

CHEEEESEEE

**Step-by-step explanation:**

CHEESEBURGER CHEESECAKE GRILLED CHEESE CHEESESTICKS CHEEESE ENCHILIADAS BROCOLLI CHEESE SOUP CREAMY MAC AND CHEESE POTATO CHEESE BALLS hAM & CHEESE SANDWICH CHEESE EVERYTHING MUAHAHHAHAAHAHAHAAAAAAAAAAAAAAAAAAAAAAAA

Help pleaseee I need some assistance right now

### Answers

**Answer:**

69°

**Step-by-step explanation:**

if CA and AT are congruentsides, this means that the angle of C and T must also be the same.

In order for a triangle to be a triangle, they must meet the angle of 180 degrees.

We know CAT is = to 42

So we subtract 42 from 180 = 138 degrees

we then divide 138 by 2 and we get 69

angles c + t are both 69 degrees

**Answer:**

69°

**Step-by-step explanation:**

The measure of angle A is given as 42 and the sum of interior angles in a triangle is equal to 180° we subtract 42 from 180 and divide the result with 2 because this is an Isosceles triangle since |AC| = |AT| m<C = m<T

(180 - 42) ÷ 2 = 69°

In the equation -3x - 9.6 = 20, what is the coefficient?

A. 20

B. -9.6

C. -3

D. -3x

### Answers

**Answer:**

x=-3

**Step-by-step explanation:**

If 8 spiders can spin 24 webs in 6 days, how many days will it take 12 spiders to spin 18 webs?

### Answers

**Answer:**

3 days

**Step-by-step explanation:**

See the steps below, one ratio - one pair of numbers changes at a time.

spiders webs days

8 24 6 8 ** 4 1** ⇒ Divide by 6** 2 1 ** 1 ⇒ Divide by 4 **12 6** 1 ⇒ Multiply by 6 12 ** 18 3** ⇒ Multiply by 3

is 1.150 and 1.15 the same? (ANSWER QUICKLY)

### Answers

**Yes because the 0 at the end is just a place holder basically so 1.150 and 1.15 are the same **

How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20L of a 15% alcohol solution

### Answers

**Answer:**

Let x= liters of 18% solution to be added to a 10% solution.

20-x= liters of 10% solution to be mixed with 18% solution.

..

18%(x)+10%(20-x)=15%(20)

.18x+2-.1x=3

..08x=1

x=1/.08=12.5

ans:

12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.

I hope it's helpful!

On average, Haley is able to read 4 5/6 Chapters in the her book each week . How many weeks will it take Haley to read 9 2/3 Chapters

### Answers

**Answer:**

2 weeks

**Step-by-step explanation:**

y = mx + b

y = total number of chapters read = [tex]9\frac{2}{3}[/tex]

m = number of chapters read per week = [tex]4\frac{5}{6}[/tex]

x = number of weeks = what we're solving for

b is not needed to find this solution

[tex]9\frac{2}{3}[/tex] = [tex]4\frac{5}{6}[/tex] x divide [tex]4\frac{5}{6}[/tex] from both sides

x = 2 weeks

How is 7.54÷4= 1.88

I got 1.88 with the remainder of 2

### Answers

**Answer:**

I got 1.885 for the answer.

Maybe they wanted it rounded to just 2 decimal places.

**Step-by-step explanation:**

**Answer:**

7 .54/4=1.88

**Step-by-step explanation:**

In division we will see the relationship between the dividend, divisor, quotient and remainder. The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.

a gumball machine gives you no gum if you insert 5c, 5 gumballs if you insert 10c , 10 gumballs if you insert 15c and 15 gumballs if you insert 20c. how many gumballs could you expect to receive if you insert 35c?

### Answers

**Answer:**

30

**Step-by-step explanation:**

create a function where x is the money you insert in cents and y is the amount of gumballs you get.

y = x - 5 (meaning you get five less gumballs than the amount of cents you insert)

Therefore, when x = 35:

y = 35 - 5 = 30.

You will get 30 gumballs.

Solve the equation. Leave your answer as an improper fraction. Check your solution: -1/2=-5/18=h

### Answers

Answer:

cant answer with two equal signs

Step-by-step explanation:

but if u mean

-1/2=-5/18+h that equals h=-2/9

and if u mean

-1/2+-5/8=h it equals h= -7/9

Complete the equation describing how c and y are related

### Answers

Answer:

Y = 2x + 7

Step by step:

With x = 0 and y = 7, you can complete half the equation, y = ?x + 7

Then for the other values in the table, find the relation between x and y, subtracting 7 from y.

x = 2, y = 11-7

x = 3, y = 13-7

Y is double the value of x, so the equation can be completed now as y = 2x + 7

please help. It’s really easy just the question is worded weirdly and I don’t get it.

### Answers

**Answer:**

d

**Step-by-step explanation:**

Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.

a. P(0 < X)

b. P(0.5 < X)

c. P(-0.5 = X = 0.5)

d. P(X<-2)

e. P(X < 0 or X>-0.5)

f. Determine x such that P(x < X) = 0.05.

### Answers

**Answer:**

**a) **P(0 < X) = **0.5**

**b) **P(0.5 < X) = **0.4375**

**c) **P(-0.5 = X = 0.5) = **0.125**

**d) **P(X< -2) = **0**

**e) **P(X < 0 or X>-0.5) = **1**

**f) **value of x is **-0.9654**

**Step-by-step explanation:**

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= **0.5**

Therefore; P(0 < X) = **0.5**

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2

= **0.4375**

Therefore; P(0.5 < X) = **0.4375**

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= **0.125**

Therefore; P(-0.5 = X = 0.5) = **0.125**

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = **0**

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625

= **1**

Therefore; P(X < 0 or X>-0.5) = **1**

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9

a =** -0.9654**

Therefore, value of x is **-0.9654**

a) P(0 < X) = **0.5**

b) P(0.5 < X) = **0.4375**

c) P(-0.5 = X = 0.5) = **0.125**

d) P(X< -2) = **0**

e) P(X < 0 or X>-0.5) = **1**

f) value of x is **-0.9654**

Determine the following probabilities:

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The **limits** become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since **value** of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

Learn more about the **probabilities** here: https://brainly.com/question/24710931

show the working pls :))

### Answers

Answer:

$ 78.68

Step-by-step explanation:

The following data were obtained from the question:

Pay >>>>>>>>>> Frequency

40 – 59 >>>>>> 15

60 – 79 >>>>>> 58

80 – 99 >>>>>> 27

100 – 119 >>>>> 22

Mean pay =?

Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:

L => is the lower pay interval

U => is the upper pay interval

Pay >>>>>>>>>> Class pay [(L+U)/2)]

40 – 59 >>>>>> 49.5

60 – 79 >>>>>> 69.5

80 – 99 >>>>>> 89.5

100 – 119 >>>>> 109.5

Thus, the table becomes

Pay >>>>>> Class pay >> Frequency

40 – 59 >> 49.5 >>>>>>> 15

60 – 79 >> 69.5 >>>>>>> 58

80 – 99 >> 89.5 >>>>>>> 27

100 – 119 > 109.5 >>>>>> 22

The mean pay can be obtained as follow:

Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)

= 742.5 + 4031 + 2416.5 + 2409

= 9599

Summation of frequency (ΣF) = 15 + 58 + 27 + 22

= 122

Mean pay = ΣCF / ΣF

ΣCF = 9599

ΣF = 122

Mean pay = 9599 / 122

Mean pay = $ 78.68

Therefore, the mean pay is $ 78.68

Katsuro ran 3 1/6 miles each day for 7 days. How far did he run in all?

### Answers

**Answer:**

22 1/6

**Step-by-step explanation:**

**Answer:**

22 1/6

**Step-by-step explanation:**

**Katsuro ran 3 1/6 each day for 7 days straight how far did he run in all? ANSWERS:**

**10 1/6 miles**

**10 1/2 miles**

**22 1/6**

**44 1/3**

Find the degree measure of the indicated angle.

?

40°

80°

### Answers

**Answer:**

60

because you need to add the number to get 180 so I would be 80+20 = 120+60=180 I hope it helps!

1 2/3 - 3/5 as fraction

### Answers

**Answer:**

1 1/15 or 16/15

**Step-by-step explanation:**

Find the common denominator.

25/15 - 9/15 = 16/15

Have a nice day!!

Hope this helps!!

the product of four numbers is 540 three of the numbers are 2, 5 and 9. what is the other number

### Answers

Answer:

Step-by-step explanation:

abcd=540

2(5)9a=540

90a=540

a=540/90

a=6

how do I solve this problem, I know the correct answer is "e" don't understand how they got it.

### Answers

**Answer:**

expand brackets by squaring what's inside the brackets

Ok ask your teacher lol