The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?

Tan 28= 200/x

x=200/ tan 28

x=376.14

x=376

Step-by-step explanation:

Hope this helps!

The boat is x=376 foot away from the light house.

A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall.

Trigonometry is defined as the study of angles.

Let the boat is x distance away from the lighthouse

assume a right-angle triangle ABC with AB =perpendicular=200, BC = base=X,  Angle CAB = 28°(angle of depression means the angle from the boat to the top of lighthouse is also 28°)

tan28 = 200/X
X = 200/tan28
X = 376 foots

Thus, The boat is x=376 foot away from the lighthouse.

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Answer:

1/5

Step-by-step explanation:

Chance is also referred to as probability

probability = Number of event/Total samples space

If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space

Sample space = 6 + 8 + 2 + 4

Sample space = 20socks

Total number of blue socks is the event

Number of event = 4 blue socks

Chance that the socks is blue = n(E)/n(S)

Chance that the socks is blue = 4/20

Chance that the socks is blue = 1/5

9514 1404 393

Answer:

  acute

Step-by-step explanation:

I like to think of this in terms of the "form factor" (a term I made up). It is computed as ...

  f = a² +b² -c²

where a, b, c are the side lengths, and c is the longest.

The interpretation is ...

  f > 0 . . . acute

  f = 0 . . . right

  f < 0 . . . obtuse

Here, we have ...

  f = 13² +17² -21² = 17 . . . . . the triangle is acute

_____

Additional comment

The measure of the largest angle is ...

  arccos(f/(2ab)) = (17/(2(13·17)) = arccos(1/26) ≈ 87.8°

You can see that (2ab) is always positive, so the sign of f matches the sign of the cosine of the angle. That is what leads to the above interpretation.

This formula comes from the Law of Cosines, of which the Pythagorean theorem is a special case.

Answer:

48=2×2×2×2×3

60=2×2×3×5

HCF=2×2×3=12 is your answer

Answer:

12

Step-by-step explanation:

48: 1, 2, 3, 4, 6, 8, 12, 16, 24 28

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Answer: Square root of 16 is 4

Step-by-step explanation:

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

Answer:

25×40=100

15×40=30

100+30=130

Answer:

A=13.47 in.

P=14.68 in.

Step-by-step explanation:

First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.

a²+a²=6²

2a²=36

a²=18

a=√18

a=4.24

Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints.  (2.12)

2.12²+2.12²=c²

4.49+4.49=c²

13.48=c²

√13.48=c

3.67=c

Now that we know each side of the shaded square, we can get the area and perimeter.

A=3.67x3.67=13.47

P=3.67x4=14.68

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

the first one is correct

i can prove it but its hard on this app and it has a long solution

you can prove it by Thales law

hope this helps

Answer:

The couch costs $678 and $339 for the coffee.

Step-by-step explanation:

In total you spent $1017 and it was used in 3 portions, 2 for the couch, and 1 for the coffee. First divide it and find out how much each portion costs. In this case (1017 divided by 3) the answer will be 339. Now since you spent 2 of the 3 portions on the couch multiply one portion by 2. Then you get 678 for 2 portions, hence telling us that the couch costed, $678. With the remaining one portion of 339, you already know coffee costs $339. Please give me brainliest, I am new to answering questions. Thanks!

Answer:

1.75 x 10^5

Step-by-step explanation:

Answer:

[tex]1.75 \times {10}^{ - 5} [/tex]

Answer:

The answer is as follows

1) 7

2) 3

3) 4

Answer:

7

-3

4

Step-by-step explanation:

Answer:

A) 5/6

B) -67/30 (or) -2 7/30

A) -9/2 (or) -4 1/2

Step-by-step explanation:

A) 2/3(5)-5/2=3 1/3-5/2 = 10/3-5/2 = 20/6-15/6= 5/6

B) 2/3(2/5)-5/2= 4/15-5/2 = 8/30-75/30 = -67/30

A) 2/3(-3)-5/2=-2-5/2= -4 1/2

Answer:

3/4

Step-by-step explanation:

hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy

Answer:

7.1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[3² × (2.4 ÷ 4)] + 1.7

Step 2: Evaluate

Answer:

(x+y)²-4xy

x²+2xy+y²-4xy

x²+2xy-4xy+y²

x²-2xy+y²

(x-y)²

or

(x-y)(x-y)

Answer:

-3 is a solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

Step 3: Compare

This is true. -3 is less than or equal to -3.

Answer:

-73

Step-by-step explanation:

if f is 73

and they made f negative, they just made 73 negative too.

i don't know if there is more in that expression

all i can see is

-f=___

Answer:

5000=2000/1 hshshsjsnndjskbdjs

Answer:

r = 4.95046%              

r ≈ 4.95%                      

Answer:

Yeah thats weird

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

According to question,

x + 8 = 2(x + 7)

x + 8 = 2x + 14

2x - x = 8 - 14

x = -6

A number is increased by 8 which is equal to twice of the same number increase by 7 then the number will be -6.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the statement given in the question,

Let the number is x.

Number is increased by 8,

x + 8

Also,

Equal to twice of same number increased by 7.

Then the expression will be,

x + 8 = 2(x + 7)

x + 8 = 2x + 14

x = -6

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Answer:

The answer is 11

Step-by-step explanation:

55÷5= 11

Answer:

11×(233)-177-2(233)-233

Answer:

Are we suppose to answer the equation to? ( reply and i will put the answers in the comment )

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

in numeracy numbers on right hand are bigger than numbers on left hand -1 is bigger than all negative integers. they all fall on the left of -1

Answer:

a. 405/4

b. 1/32

Step-by-step explanation:

a. (5x8 + 5) / 8 x 18

= 45/8 x 18

= 405/4

b. 3/8 ÷ 12

= 3/8 x 1/12

= 1/32

Answer:

c=what is the total cost of ordering one book..

Step-by-step explanation:

Given function:

What this means:

Therefore, b=the total cost of ordering one book..