From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me

Answer:

Q63. B

Step-by-step explanation:

5 cars = 2 houses

1 house = 10 pools = 2.5 cars

1 car = 10÷2.5 = 4

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 can be made.

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is not a right triangle.

Answer:

384 cm^2.

Step-by-step explanation:

This equals the area of 2 triangles + 3 rectangles.

= 2 * 1/2 * 6 * 8 + 14 * 6 + 14 * 8 + 14 * 10

= 48 + 84 + 112 + 140

= 384 cm^2.

Answer:

m = -4/3

Step-by-step explanation:

m = y2-y1/x2-x1

therefore at (-3,2) and (0-2)

m = -2-2/0 - (-3)

m = -4/3

The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 4×8 = 32  (because 4 cards of 8 design)

The probability of selecting a card with a sunflower or butterfly design:

= 4/32  +  4/32

= 8/32 = 1/4

The probability of selecting a card with a lily, daisy, puppy, or bird design:

= 4(4/32)

= 1/2

The probability of selecting a card with a landscape design:

= 4/32 = 1/8

The probability of selecting a card with a dolphin, sunflower, or landscape design:

= 3(4/32)

= 3/8

Similarly, we can calculate the rest of the probability.

Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

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Answer:

the answer of√343k is 18k

Answer: This answer is non-linear.

Step-by-step explanation:

The problem [tex]y=\frac{1}{x}[/tex]  has Vertical Asymptotes,

Horizontal Asymptotes,

and No Oblique Asymptotes making, [tex]y=0[/tex]  and [tex]x=0[/tex].

A linear function is a form of [tex]y=mx+b[/tex].

This answer would be non-linear

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Answer:

16л, 8л

Step-by-step explanation:

r=4

area=4*4л

=16л

circumference= 2л*4

=8л

The total amount of return will be 5611.8573. The principal amount is compounded annually.

Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.

The given data;

P(PRINCIPAL)=5300

r(rate)=2.9%

n=1

t(time)=2

The total amount of return is found as;

[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]

Hence,the total amount of return will be 5611.8573.

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Answer:

3.

m + 7 ≥ 20

Subtract 7 on both sides,

m ≥ 20 - 7

m ≥ 13

The answer is m ≥ 13.

( you need to include both > and =, that is ≥ )

4.

2.1x = 23.1

Divide 2.1 on both sides,

x = 23.1 / 2.1

x = 11

Answer:

For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].

For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].

Hope this helps!  Let me know if you have any questions

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression 9 + (2×24) is 57.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The prime factorization of the expression can be done as,

9 + (2×24)

= (3×3) + (2×2×2×2×3)

= 3 [3+(2×2×2×2)]

= 3 [3 + 16]

= 3 (19)

= 57

Hence, the simplification of the given expression 9 + (2×24) is 57.

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Answer:

x=2

Step-by-step explanation:

6x - 3 - 2x = 5

Combine like terms

4x -3 = 5

Add 3 to each side

4x-3+3 = 5+3

4x = 8

Divide each side by 4

4x/4 = 8/4

x = 2

Step-by-step explanation:

Given:
40 houses,

500 liters of waters everyday for common utilities

Unknown amount of water per house which we will call x.

4500 max liters for the gated community

Solve:

4500=40x+500

subtract 500 from both sides

4000=40x

divide by 40

100=x

Check:

40(100)+500=4500

4000+500=450

correct

Answer:

100 liters of water can be used by each house.

The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).

A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.

volume of a cylinder = πr²h

= pi x r² x 7

volume of a cone = 1/3  πr²

= 1/3 pi x 4² x8

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Answer:

A is Correct

Step-by-step explanation:

Answer:

mean: 26

minimum: 0

first q (lower): 5

median: 27

third q (upper): 44

max: 45

(all your answers for Aaron are correct as well:)

hope this helps:)

Answer:

65 yards

Step-by-step explanation:

4 1/3 = 13/3

13/3 times 15 = 65

Answer:

Step-by-step explanation:

Remark

All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.

Answer: Square

Answer:

26^3 ft is what i got.

5ft x 5ft x 2ft = 50ft

3ft x 4ft x 2ft = 24ft

50ft - 24ft = 26ft

Answer:

36 ft³

Step-by-step explanation:

Formula of a rectangular prism :

Volume = Length x Width x Height

Volume of the bin :

Answer:

~36 units apart

Step-by-step explanation:

~36 units

Answer:

11 minutes

Step-by-step explanation:

25 - 14 = 11

Answer:

See below ~

Step-by-step explanation:

X-intercept(s) : Take y = 0

Y-intercept : Take x = 0

Answer:

Equal

Step-by-step explanation:

3 feet is equal to 1 yard, so 8 times 3 is 24, so they are equal to.

By using the vertical line test, we conclude that graphs 4 and 5 don't represent functions.

The criteria to know when a graph represents or not a function, is to draw a vertical line and see if the line intersects the graph in more than one point. (This is called the vertical line test).

If you do that with graphs 4 and 5, you will see that these two do not represent functions.

For the other graphs is immediate to know that:

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Answer:

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

Answer:

4/3, -2

Step-by-step explanation: