from a boat on the lake, the angle of elevation to the top of a cliff is 16°38'. if the base of the cliff is 1250 feet from the boat, how high is the cliff?​

Answer:

For the first table: (0, 10) (1, 15) (2, 20) (3, 25) (4, 30)

For the second table: (-2, 1.04) (-1, 1.2) (0, 2) (1, 6) (2, 26)

For the third table: (-2, 10) (-1, 0) (-1/2, -5/4) (1, 10)

Step-by-step explanation:

sin x = 32/58

We need to find the angle x.

Take the sine inverse on both sides.

Let arcsin = sine inverse

arcsin(sin x) = arcsin(32/58)

x = 33.485376623

Rounding off to the nearest hundredth, we get x = 33.49°.

Done!

Answer:

33.49

Step-by-step explanation:

I took the test

The answer depends on which measure is the height and both bases.

[tex]A=\frac{14\times8}{2}=\boxed{56cm^2}[/tex]

Answer:

56 cm^2

Step-by-step explanation:

Area of triangle is base times the height and divided by 2.

A = [tex]\frac{1}{2}[/tex] * 14 * 8

A = [tex]\frac{1}{2}[/tex] * 112

A = 56 cm^2

ANSWER

The correct answer is C

EXPLANATION

The conditional probability, P(A|B) means,, probability of A given that B has occurred.

It is given by the formula:[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

From the Venn diagram, [tex]A\cap =[/tex]{Ian,Ella} and B={Lan,Ella,Micky,Mai, Marcus}

[tex]P(A\cap B)=\frac{2}{10}[/tex] and [tex]P(B)=\frac{5}{10}[/tex]

This implies that:

[tex]P(A|B)=\frac{\frac{2}{10} }{\frac{5}{10} } =\frac{2}{10}\times\frac{10}{5}=\frac{2}{5}[/tex]

The correct answer is C

Answer:

answer is C

Step-by-step explanation:

Answer:

7pm

Step-by-step explanation:

Noon means 12:00pm

Just add 3 hours to their originally 4 hour trip

(1 hour from lunch and 2 from the amusement park)

Answer:

7

Step-by-step explanation:

Answer: The number is 86.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

"Six subtracted from a number ", a number means the variable (x), and six subtracted from a number is "x -6".

"The result is divided by 4", so (x-6) /4.

This result is added to then, so: 10+ (x-6) /4.

And finally, to give 30 means that all the expression equals to 30.

10+ (x-6) /4 = 30

Solving:

(X-6) /4 = 30 -10

(X-6) /4 = 20

X-6 = 20x4

X-6 = 80

x =80+6

x= 86

The number is 86.

Answer:

20 bicycles and 10 tricycles.

Step-by-step explanation:

Let the number of bicycles and tricycles be x and y respectively.

Each vehicle has 1 seat.  Each bicycle 2 wheels and each tricycle 3 wheels.

Then we have the system of equations:

x + y = 30 ............ (1)

2x + 3y = 70.........(2)

Multiply the first equation by -2:

-2x - 2y = -60......(3)

Adding (2) + (3):

y = 10

Substituting for y in equation (1):

x + 10 = 30

x = 20.    

By simultaneous equation, there are a total of 20 bicycles and 10 tricycles.

Let the number of bicycles and tricycles be x and y respectively.

It is given that there is a total of 30 seats and 70 wheels.

Each vehicle has 1 seat.  Each bicycle 2 wheels and each tricycle 3 wheels.

Then we have the system of simultaneous equations:-

x + y = 30 ............ (1)

2x + 3y = 70.........(2)

Multiply the first equation by -2:

-2x - 2y = -60......(3)

Adding (2) + (3):

y = 10

Substituting for y in equation (1):

x + 10 = 30

x = 20.    

Therefore, by simultaneous equation, there are a total of 20 bicycles and 10 tricycles.

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Answer:

168 miles.

Step-by-step explanation:

5/7x+40+0.75x−118=x

Step 1: Simplify both sides of the equation.

5/7x+40+0.75x−118=x

5/7x+40+0.75x+−118=x

(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)

1.464286x+−78=x

1.464286x−78=x

Step 2: Subtract x from both sides.

1.464286x−78−x=x−x

0.464286x−78=0

Step 3: Add 78 to both sides.

0.464286x−78+78=0+78

0.464286x=78

Step 4: Divide both sides by 0.464286.

0.464286x/0.464286=78/0.464286

x=168

The total length of the bicyclist's route is 560 miles. This is solved by setting up an equation based on the given information and solving for the total route length.

To solve this problem, we first need to represent the problem using equations by setting X as the total route. We know that the bicyclist has already covered 5/7 of his route and an additional 40 miles. So, the part of his route he has already covered is expressed as [tex](5/7)X + 40.[/tex]

We also know that he has yet to cover 118 miles less than 0.75 of his route, so the part of the route that he has yet to cover is expressed as 0.75X - 118. Since the parts of the route already covered and yet to be covered add up to be his entire route (X), we can set up the equation as follows: ([tex](5/7)X + 40 = 0.75X - 118[/tex]. By solving this equation, we find that X (the total length of his route) equals 560 miles.

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Answer:

x = 5/7 = 0.714

Step-by-step explanation:

Answer is 5/7 = 0.714

See photo

Answer:

yes,its one way to simplify equations.

Step-by-step explanation:

Answer:

6 runners

Step-by-step explanation:

Each runner ran 7.5 km.  If there were n runners, then (7.5 km)n = 45 km.

Solve this for n by dividing 7.5 km into 45 km:

n = 6

There were 6 runners.

Answer:Which one do you need help with

Step-by-step explanation:

1. 5 Folder 5 Pen = yes

6 Pen 6 Eraser = Yes

1 Pen 4 Notebook = No

3 Folder 7 Eraser = No

4 Folder 2 Notebook = Yes

Answer:

t=0 and t=5

Step-by-step explanation:

5t = t^2

Subtract 5t from each side

5t-5t = t^2 -5t

0= t^2 -5t

Factor out a t

0= t(t-5)

Using the zero product property

t=0  and t-5 =0

t=0  and  t-5+5=0+5

t=0 and t=5

Answer:

1. X = 23.8 cm

2. Z = 12.5 Inches

3. x = 14.03 Degrees

Step-by-step explanation:

1. Given

Hypotenuse=25 cm  

Angle=18 Degrees

We will use the trigonometric ratios for right angled triangles for finding the value of X.

In the given triangle, as X is the base, we will use the ration which involves base and hypotenuse.

So,

cos⁡θ=  Base/Hypotenuse

cos⁡18=X/25

0.9510=X/25

0.9510*25=X

X=23.775

X=23.8 cm

2.The ratio of cos will be used for this one too.

Here,

Base=10 inches

Angle=37 Degrees

cos⁡θ=  Base/Hypotenuse

cos⁡37=10/Z

0.7986=10/Z

Z=10/0.7986

Z=12.521  

Z=12.5 inches

3. As we know the values of perpendicular and base ,  

So the ration which involves these both will be used.

The desired ratio is  

tan⁡ x=Perpendicular/Base

tan ⁡x=5/20

tan⁡ x=0.25

x =  tan^(-1)⁡0.25

x = 14.03 Degrees  ..

The value of X and Z in a triangle should be determined by performing mathematical operations and rounding according to the specific rules of significant figures for addition, subtraction, multiplication, and division, following proper rounding at the final calculation to ensure precision.

To answer the question regarding the value of X and Z in a triangle, it's important to note that the rounding of numbers should be done according to certain rules based on the operations involved.

In addition and subtraction, the result should have the same number of decimal places as the measurement with the least number of decimal places. For instance, adding 135.621, 97.33, and 21.2163 we get 254.1673, which is then rounded to 254.17 since the hundredth's place is the last common decimal place.

With multiplication and division, the answer should have the same number of significant figures as the original measurement with the least significant figures. Thus, multiplying 1.35 by 2.1 we get 2.835 and round it off to 2.8.

When dealing with whole numbers or in a series of steps, pay close attention to significant figures and round off only after the final calculation to prevent inaccuracies.

As an example, the complex calculation (13.2 + 12.252) x (1.35 x 2.1) should be rounded only once, after the entire expression is evaluated, leading to a result of 72.

Adding the student with eight siblings will increase the class average amount of siblings because this student has more siblings than the average.

The new class average for number of siblings is 3.19

Therefore, the average number of siblings that each student has is larger than the original average.

Answer:

The average will go up.

Step-by-step explanation:

Answer:

Try A or D

Step-by-step explanation:

I did this last semester (I know my age is 32 I didn't know if you had to be over 18 or 21 so I guessed a year and aimed a little to high...) I think it is either A or D

Answer:

Its A (APEX)

Step-by-step explanation:

Answer:

x = 3/4

Step-by-step explanation:

4x-3=0

Add 3 to each side

4x-3+3 = 0+3

4x = 3

Divide each side by 4

4x/4 = 3/4

x = 3/4

Answer: X = 3/4

Solution:

Move the constant to the right side and change its sign, then divide both sides by four:

4x - 3 = 0 --> 4x = 3 --> (4x/4) = (3/4)

X = 3/4

37 over 8 or 37/8. I plugged it in on my calculator and it was correct.

Answer:

37 over 8 or 37/8 or 37:8 or[tex]\frac{37}{8}[/tex]

Step-by-step explanation:

Answer:

x=-5/3

Step-by-step explanation:

ABD + DBC = ABC

Substitute the values

6x+9  + x+1 = 10x+15

Combine like terms

7x+10 = 10x+15

Subtract 7x from each side

7x-7x+10 = 10x-7x+15

10 = 3x+15

Subtract 15 from each side

10-15 = 3x+15-15

-5 =3x

Divide each side by 3

-5/3 =x

This will give us a negative value for DBC

DBC = -5/3 +3/3 = -2/3

We cannot have a negative value for an angle

Check the values given.

Answer:

6,30

Step-by-step explanation:

The product of two whole numbers is 180

xy = 180

and their sum is 36

x+y = 36

x = 36-y

Substitute this into the first equation

(36-y) (y) = 180

36y - y^2 = 180

Add y^2 to each side

36y = 180 +y^2

Subtract 36y from each side

0 = y^2 -36y +180

Factor

0=(y-6) (y-30)

Using the zero product property

y-6 =0   y-30 =0

y = 6    y= 30

Now we need to find x

If y =6

x = 36-6=30

If y = 30

x = 36-30=6

The two numbers are 30 and 6

Answer: D)

Step-by-step explanation: this is because you find the area of the circle which is pi times radius squares. So the area of the circle is 16 pi. And the. You have to multiply by 7 because you are staking the circle 7 times. To get 122 pi which is the answer so the answer is D. :)

The value of the volume of the cylinder is,

V = 96π units³

A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curved surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases.

We have to given that;

Radius of cylinder = 4 units

Height of cylinder = 6 units

Since, The value of volume of cylinder is,

⇒ V = πr²h

Hence. The value of the volume of the cylinder is,

V = π (4²) × 6

V = 16 × 6 π

V = 96π units³

Thus, The value of the volume of the cylinder is,

V = 96π units³

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Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Substitute the given values for a, b and c into the expression, that is

5 + 6 + (7 × [tex]\frac{1}{7}[/tex])

= 11 + 1

= 12

Answer:

Prime: 9/25    Not Prime: 16/25

Step-by-step explanation:

In 1 - 25 there are 9 prime numbers, or numbers that cannot be divided by anything other than 1 or itself. They are  2 3 5 7 11 13 17 19 and 23,

Selecting a NON Prime: 25-9= 16 so we would put 16 over 25.

16/25 since it can not be reduced that is the fraction

Selecting a Prime: We know there is 9 prime numbers so we would put it over 25. 9/25 also cannot be reduced any further,

Answer:

Average speed = 30.2 miles / .4 hours =

75.5 mph

Step-by-step explanation:

Answer:

Average speed of the car is [tex]75.5\text{ miles per hour}[/tex].      

Step-by-step explanation:

We are given the following information:

Distance traveled by the car =

[tex]30\displaystyle\frac{1}{5}\text{ miles}[/tex]

Time taken by the car =

[tex]\displaystyle\frac{2}{5}\text{ hours}[/tex]

Formula:

Speed = [tex]\displaystyle\frac{\text{Distance covered}}{\text{Time taken}}[/tex]

Putting all the values,

[tex]\text{Speed} = \displaystyle\frac{30\frac{1}{5}}{\frac{2}{5}} = \frac{\frac{151}{5}}{\frac{2}{5}} = \frac{151}{2} = 75.5\text{ miles per hour}[/tex]

Average speed of the car is [tex]75.5\text{ miles per hour}[/tex].

Answer:

sorry, that is a very complex question

Step-by-step explanation:

it had to be more tjan 20 characters

I think it's either 21+4×6-1=9 or 2+6×8-6=7

Answer:

One solution

Step-by-step explanation:

Adding 3x to both sides results in   7 = 6x + 7, or 6x = 0.  There is one solution, and that solution is x = 0.

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is [tex](n-2)180[/tex], where n = total number of sides.

Thus, we substitute n for 10, and you get:

[tex](10-2)180=1440[/tex]

If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

A central angle in a regular ten-sided polygon would be 144 degrees.

Final answer:

The central angle of a regular polygon with 10 sides (a decagon) is calculated by dividing 360° by the number of sides, resulting in a central angle of 36°.

Explanation:

To find the measure of a central angle of a regular polygon with 10 sides (a decagon), we use the formula for the measure of each central angle:

Central Angle = 360° / Number of sides

Thus, the central angle of a regular decagon is:

360° / 10 = 36°

This is because the central angles are equally distributed around the center point, dividing the 360° of a circle evenly by the number of sides in the polygon.

Answer:im stuck on the same one

Step-by-step explanation:

The center of the circle is (-7,13)

For this case we must use the order of algebraic operations according to the PEMDAS method:

P: Parentesis

E: Exponential

MD: Multiplication and division from left to right

AS: Addition and subtraction from left to right

We have:

12÷6×2-[tex]2 ^ 2[/tex] =

12÷6×2-4 =

2×2-4 =

4-4 =

0

Answer:

0

Answer:

0

Step-by-step explanation:

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Do exponent first.

12÷6*2-2²

2²=2×2=4

12÷6×2-4

Multiply and divide from left to right.

12÷6×2

12÷6=2

2×2=4

4-4

Subtract from left to right.

4-4=0

0 is the correct answers.

I hope this helps you, and have a wonderful day!