Carl is standing at the top of 35 Ft cliff looking down at a rock for motion in the sea. He estimates the angle of depression is 30' . What is the horizonal distance from Carl to the island?

−3x+5(x+3)=23

−3x+5(x+3)=23

−3x+(5)(x)+(5)(3)=23

−3x+5x+15=23

(−3x+5x)+(15)=23

2x+15=23

2x+15−15=23−15

2x=8

2     2

x=4

Answer:

x=4

Step-by-step explanation:

Answer:

a.) 10 months

b.) Kool Karate

c.) Karate Klub

Step-by-step explanation:

Karate Klub : y=25x+200

Kool Karate : y=35x+100

A.) First, set the equations equal to each other then solve for x. [tex]A.) 25x+200=35x+100\\\\[/tex]

take away 100 from both sides

[tex]25x+100=35x[/tex]

take away 25x from both sides

[tex]100=10x[/tex]

divide 10 from both sides so x can be by itself and equal to 1

[tex]10=x[/tex]

This means that at 10 months, the cost is the same for both.

B.) Substitute 6 for x in both equations

Karate Klub : [tex]y=25(6)+200\\y=350[/tex]

Kool Karate :[tex]y=35(6)+100\\y=310[/tex]

The cost for Kool Karate is cheaper, so that is what he should join.

C.)  Substitute 12 for x in both equations.

x=12 because there are 12 months in a year.

Karate Klub:[tex]y= 25(12)+200\\y=500[/tex]

Kool Karate:[tex]y=35(12)+100\\y=520[/tex]

The cost for Karate Klub is cheaper, so that is what he should join.

Answer:

try to see the rules for this question and you will get answer

have a nice day  

Step-by-step explanation:

First blank is 'left'

Second Blank is 'right'

Answer:

1) c 226

2)

1. E

2. D

3. B

4. A

5. C

Step-by-step explanation:

6^3=216

5x(4-2)

5x2=10

216+10=226

Answer:

(Option B

(Option C

Step-by-step explanation:

Concept:

We will start by explaining each option one after the other

Step 1:

The sum of two odd numbers

Let the first odd number be

[tex]2a+1[/tex]

Let the second odd number be

[tex]2B+1[/tex]

By adding the two numbers, we will have

[tex]2a+1+2B+1=2(a+B)+2[/tex]

Hence,

The sum of two odd numbers is even

Step 2:

The difference of two odd number

Let the first odd number be

[tex]2a+1[/tex]

Let the second odd number be

[tex]2B+1[/tex]

To find their difference, we will have

[tex]2a+1-(2B+1)=2a+1-2B-1[/tex]

[tex]=2a-2B[/tex]

Hence,

The difference between two odd numbers is even

Step 3:

Let the first even number be

[tex]2a[/tex]

Let the second odd number be

[tex]2B+1[/tex]

By adding the two numbers, we will have

[tex]2a+2B+1[/tex]

Hence,

The sum of an odd number and an even number is odd

Step 4:

The difference between an odd number and an even number

Let the first even number be

[tex]2a[/tex]

Let the second odd number be

[tex]2B+1[/tex]

Hence,

The difference will be

[tex]2a-(2B+1)[/tex]

[tex]2a-2B-1[/tex]

Hence,

The difference between an odd number and an even number is odd

Therefore,

The correct answers are OPTION B and OPTION C

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Answer:

s (t) = 12 - 0.75t

Step-by-step explanation:

Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours  after the storm ended, after the storm ended, the depth of snow was down to 9 inches.

Snow melted in 4 hours =

Initial depth of snow = 9 + 3 inches = 12 inches.

Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)

Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.

To know while working with inequality equations:

- When multiplying or dividing by a negative, you want to flip the direction of the inequality sign. < becomes >, etc

- When graphing, if it is only less/greater than (< or >) the dot will be open

- When graphing, if it is less/greater than and equal too (≤ or ≥) the dot will be closed

- Then, if the x value is on the left side, the arrow will go in the direction of the inequality sign

[3] Divide both sides by -4, flip the sign

-4x ≥ -36

x ≤ 9

[4] Divide both sides by -0.4, flip the sign, and then I flipped the equation to make it easy to graph

3 > -0.4x

-7.5 < x

x > -7.5

[5] Divide both sides by -2.2, flip the sign

-2.2x ≤ -6.6

x ≥ 3

[6] Multiply both sides by -8, flip the sign

[tex]\frac{x}{-8}[/tex] > 2

x < -16

See attached for the graphs.

Answer:

800 in^2

Step-by-step explanation:

Multiply.

A=2(wl+hl+hw)

=2·(10·15+10·15+10·10)

=800

Because it is surface area it would be 800in^2

Answer:

They received 540 applications.

Step-by-step explanation:

Let applications they received be x,

5/6 = 450/x

or, 5x = 2700

so, x = 2700/5

so, x = 540

Answer:

1) 27/2 2) 8pi 3) 48 4) 16+2pi

Step-by-step explanation:

1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.

2) The shape is a semicircle, so the area is 1/2 pi*r^2.

1/2 * pi * r^2=8pi

3) B*H=8*6=48

4) The figure is a semicircle and a square.

The area of the semicircle is 1/2 * pi * r^2=2pi

The area of the square is b*h=4*4=16

The area is 16+2pi.

Answer:

I am solving this Question since morning but I am not able to complete

Answer:

the answer is A

Step-by-step explanation:

no explanation

Answer:

1. -2=-x - 9,   7=-x,  -7=x

2. -1=-x - 9,   8=-x,  -8=x

3. 0=-x - 9,   9=-x,   -9=x

4. 1=-x - 9,   10=-x,    -10=x

5. 2=-x - 9,   11=-x,     -11=x

Answer:

0.25% are chocolate chip cookies

Step-by-step explanation:

first, make it a fraction

8/32

8/32= 0.25

the answer is 0.25%

Answer:

5

Step-by-step explanation:

The number of apples bought by him is 113.

A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.

Let's assume that Sam bought x number of apples.

He bought them at 60 cents each, which means the total cost of buying these apples was:

Cost price = 60x cents

He sold all but 5 of these apples at R1.00 each, which means the total revenue he earned from selling them was:

Revenue = (x - 5) x R1.00 = R(x - 5)

Sam made a profit of R5.00, which means his revenue was more than his cost price by R5.00. We can write this as:

Revenue - Cost price = R5.00

Substituting the values of revenue and cost price from above, we get:

R(x - 5) - 60x = 500 cents

Rearranging and simplifying this equation, we get:

40x = 500 + 5R

Substituting R = R1.00, we get:

40x = 500 + 5 = 505

Solving for x, we get:

x = 12.625

Since Sam cannot buy a fraction of an apple, we round up x to the nearest integer:

x = 13

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Answer:

Step-by-step explanation:

Using the inequality rule, the third side has to be less than 12 + 16 = 28.
So, any answer of 28 or more than 28 does NOT satisfy the length.
It also has to be more than 4 to satisfy the inequality rule.

In short words, 4 < x < 28.

A, B and C all satisfy, because they are in the range of x

D) 32 is >28, so this is the wrong answer and CANNOT be the value of x.

Answer:

32

Step-by-step explanation:

Any number between 16 - 12 = 2 and 16 + 12 = 28 are possible.

Among given choices, only 32 is not in the above region. so 32 CANNOT be the value.

Answer:

i have no idea

Step-by-step explanation:

im in 5th grade

Answer:

x= 3

Step-by-step explanation: I'll assume the problems is

Cross multiply to get:

x2 - 1 = 2x + 2

x2 - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 and x = -1

Test (x = 3):

1/(2•3+2) = 1/(32 - 1)

1/8 = 1/8 true, so x = 3 is a valid solution

Test (for x = -1):

1/(2•(-1)+2) = 1/((-1)2 - 1)

1/0 = 1/0 not true since division by zero is undefined so x = -1 is not a solution (aka, it is extraneous).

To find solutions via graphing, graph y = 1/(2x + 2) and graph y = (x2 - 1) and find the points of intersection. Doing so confirms that the only solution is x = 3.

Answer:

24cm^2 ( twenty-four centimeter square

Step-by-step explanation:

Area of a parallelogram = Base ×Height;

A=B×H

In this case:

A=6cm × 4cm

Which means that

A= 24cm^2

Answer:

Step-by-step explanation:

2x = 8

Division property of equality

divide both sides by 2

x = 4

The marginal cost will most likely increase to $2.00

Marginal cost is the change in the production costs that would be required to make one extra unit of production.

The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.

For example, if a company produces a cup for $5, and 10 cups would be $50, therefore, the marginal cost is the extra cost it would take to manufacture an additional cup.

Hence, the marginal cost will most likely increase to $2.00

To know more about marginal cost click the link given below.

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Answer:

B The marginal cost will most likely increase to $2.00

Step-by-step explanation:

I took the assignment. :)

Answer:

Figure G is a reflection of figure F

mirror line: y= -x line

Answer:

-9

Step-by-step explanation:

5-p

p=-9

-4 is greater than 5-p

Answer:

19732620000

Step-by-step explanation:

It can be deduced that the Venn diagram shows the relationship that exist between the light test and the brake test.

It should be noted that a Venn diagram simply means an illustration that uses circles to indicate the relationship among things.

From the information given, the lights test failed on 3 bicycles while 27 bicycles passed the test.

The brake test failed on 9 bicycles while 21 bicycles passed the test. This is depicted in the Venn diagram.

Learn more about Venn Diagram on:

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