From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea
is 24. Find, to the nearest foot, the distance from the boat to the foot of the
lighthouse. (The foot of the lighthouse is at sea level.)

Answer:

M2+m3=90

Step-by-step explanation:

Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.

Answer:

b is 5

Step-by-step explanation:

Answer:

  A, B, C, F, G

Step-by-step explanation:

The above-listed properties are inherited from a parallelogram. The properties not inherited from a parallelogram are ...

  D (diagonals are angle bisectors) is inherited from a rhombus

  E (congruent diagonals) is inherited from a rectangle

  H (perpendicular diagonals) is inherited from a rhombus

Answer:

pretty sure its 18*5

Step-by-step explanation:

1. Solve 3^2 (three squared)

3 x 3= 9

2. Replace 3^2 with 9

it should now look like this:

2*9*5

3. Multiply left to right

2*9= 18

18*5

hope this helps :p

Answer:

answer is 42 in²

:-)))

....

Answer:

-9x+11y=-14

x= ( 13/4 +3/8y) + 11y+-4

y=2

x=13/4 + 3/8 x 2

x=4

Step-by-step explanation:

Answer:

You got the answer from the other person

Step-by-step explanation:

Answer:

a) 5,5kg

b) 8,65 €

Step-by-step explanation:

Daniela ha comprado 2,5 kg de naranjas a un precio de 1,75 € el kg, 1,5 kg de manzanas a 1,6 el kg y 1,5 kg de plátanos a 1,25 € el kg.

a) Si ponemos toda la fruta en la misma bolsa, ¿cuál es su peso?

Naranjas = 2,5 kg

Manzanas = 1,5 kg

Plátanos = 1,5 kg

Por lo tanto:

El peso total

= Peso de las naranjas + Peso de las manzanas + Peso de las bananas

= 2,5 kg + 1,5 kg + 1,5 kg

= 5,5 kg

b) ¿Cuánto ha pagado Daniela por toda la fruta?

Costo de las naranjas

Daniela ha comprado 2,5 kg de naranjas a un precio de 1,75 € el kg

1 kg = 1,75 €

2,5 kg = x

x = 2,5 × 1,75 €

x = 4,375 €

Costo de las manzanas

1,5 kg de manzanas a 1,6 € el kg

1 kg = 1,6 €

1,5 kg = x

Cruz multiplicar

x = 1,5 × 1,6 €

x = 2,4 €

Costo de los plátanos

1,5 kg de plátanos a 1,25 € el kg.

1 kg = 1,25 €

1,5 kg = x

Cruz multiplicar

x = 1,5 × 1,25 €

x = 1.875 €

La cantidad que Daniela pagó por toda la fruta es:

4,375 € + 2,4 € + 1,875 €

= 8,65 €

Answer: It costs $1.22 to make each paperweight.

Step-by-step explanation:

Given : Selling price of 95 identical paperweights = $230.85

Then, Selling price of 1 paperweight = (Selling price of 95 identical paperweights) ÷ 95

= $ (230.85 ÷ 95) = $ 2.43

Now, selling price of each paperweight = 2 x ( cost of each paperweight)

⇒ cost of each paperweight = (selling price of each paperweight ) ÷ 2

⇒ cost of each paperweight = $ 2.43 ÷ 2 = $ 1.215 ≈ $ 1.22

Hence, it costs $1.22 to make each paperweight.

Answer:

H = 625

Step-by-step explanation:

Given H varies directly as c³ then the equation relating them is

H = kc³ ← k is the constant of variation

To find k use the condition when H = 40, c = 2, then

40 = k × 2³ = 8k ( divide both sides by 8 )

5 = k

H = 5c³ ← equation of variation

When c = 5, then

H = 5 × 5³ = 5 × 125 = 625

Answer:

A

Step-by-step explanation:

You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (5, 1)

Point (9, -6)

Step 2: Identify

x₁ = 5, x₂ = 9

y₁ = 1, y₂ = -6

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Here,

two points are (5,1) and (9,-6)

So,

x1=5

x2=9

y1=1

y2= -6

we know that,

Distance formula:- [tex]\bold{D=\sqrt{(x_2 - x_1 )^2+(y_2 - y_1)^2} }[/tex]

According to the question,

Distance between (5,1) and (9,-6)

[tex]\bold{D=\sqrt{(5-9)^2+(1-\{-6\})^2} }[/tex]

[tex]\bold{D=\sqrt{(5-9 )^2+(1+6)^2} }[/tex]

so,

option C is correct..

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

8

Step-by-step explanation:

Answer:

its 120 degrees

Step-by-step explanation:

add up all the know angles (110.60,70) then take that number and subtract it from 360, (360 is the number you get if you add all sides four sided shape)  

The measure of the value of g is, 60° by definition of alternate angles of parallel lines.

Parallel lines are those lines that are equidistance from each other and never intersect each other. and, Parallel lines are lines in a plane that are always the same distance apart and never intersect. But Perpendicular lines are lines that intersect at a right (90 degrees) angle.

We have to given that;

Two parallel lines are shown in image.

And, The measure of b = 110°

Here,

By the figure, we have;

A transverse line cut the parallel lines.

And, Both angles 60 and g are alternate angles of parallel lines.

We know that;

The alternate angles of parallel lines are equal to each other.

Hence, The value of measure of g = 60°

So, We get by the definition of alternate angles of parallel lines,

⇒ The measure of g = 60°

Learn more about the parallel line visit:

brainly.com/question/30195834

#SPJ2

answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

Answer:

$2650

Step-by-step explanation:

= 2000 × 0.0325 × 10 = 650

= $ 650.00

Answer:

97km/h to 1dp

Step-by-step explanation:

47mins is 0.783 of an hour

76km/0.783 = 97.0212km/h

Answer:

140° and 40°

Step-by-step explanation:

let x be one angle then the other is [tex]\frac{1}{2}[/tex] x - 30

Since the angles are a linear pair, theis sum is 180° , then

x + [tex]\frac{1}{2}[/tex] x - 30 = 180, that is

[tex]\frac{3}{2}[/tex] x - 30 = 180 ( add 30 to both sides )

[tex]\frac{3}{2}[/tex] x = 210 ( multiply both sides by 2 to clear the fraction )

3x = 420 ( divide both sides by 3 )

x = 140

and [tex]\frac{1}{2}[/tex] x - 30 = [tex]\frac{1}{2}[/tex] (140) - 30 = 70 - 30 = 40

The 2 angles are 140° and 40°

Answer:

The value of x in terms of b is: [tex]\mathbf{x=-\frac{6}{2b}}[/tex]

The value of x when b is 3 is: x = -1

Step-by-step explanation:

We are given the function: [tex]-2(bx-5)=16[/tex]

First we need to find

The value of x in terms of b

We need to find value of x

[tex]-2(bx-5)=16[/tex]

Multiply -2 with terms inside the bracket

[tex]-2bx+10=16[/tex]

Subtract 10 from both sides

[tex]-2bx+10-10=16-10\\-2bx=6[/tex]

Divide both sides by -2b

[tex]\frac{-2bx}{-2b}=\frac{6}{-2b}\\x=-\frac{6}{2b}[/tex]

So, The value of x in terms of b is: [tex]\mathbf{x=-\frac{6}{2b}}[/tex]

The value of x when b is 3

We have the equation for the value of x in terms of b:

[tex]\mathbf{x=-\frac{6}{2b}}[/tex]

Put b = 3

[tex]x=-\frac{6}{2(3)}\\x=-\frac{6}{6}\\x=-1[/tex]

So, The value of x when b is 3 is: x = -1

Answer:

19. 4(x-4)

20. 6(3k+7)

21. prime

22. 4(5m-2n)

23. 14p-14= 14(p-1)

24. 35+5r= 5(7+r)

25. 10x - 14y= 2(5x- 7y)

Step-by-step explanation:

19.4(x-4)

20. 6*3k + 7*6

6(3k+7)

22. 2*5m - 2 * 4n

2(5m - 4n)

23. 9p + 5p -6-8

14p - 14

Answer:

0.7, 70/100 or 7/10

Step-by-step explanation:

70 squares are shaded.

So 70/100 of all squares are shaded

Answer:

x=-2,y=2

Step-by-step explanation:

2x+y=-2 ----> y=-2-2x----(1)

25x+3y=-4 ---(2)

Replace (1) in (2)

5x+3(-2-2x)=-4

5x-6-6x=-4

-x=-4+6

-x=2

x=-2

If x=-2,then replace x in (1)

y=-2-2(-2)

y=-2+4=2

Answer:

9.6

2.4.

Step-by-step explanation:

It is easy. If you do with calculator it's easy.

Answer:

1. 1

2. 4

3. 7

4. 1

5. 10

6. 6

7. 2

8. 5

9. 6

10. 3

11. 5

12. 7

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤❤

THANK YOU

Answer:

The traveller's speed is 5ft/s and the walkway speed is 3ft/s

Step-by-step explanation:

Given

Represent the traveller's speed with T and the walkway's speed with W.

When the traveller walk against the walkway, we have:

[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

[tex]T - W = 2[/tex] --- (i)

[tex]T + W = 8[/tex] --- (ii)

Add (i) and (ii)

[tex]T + T - W + W = 2 + 8[/tex]

[tex]T + T = 2 + 8[/tex]

[tex]2T = 10[/tex]

Divide both sides by 2

[tex]\frac{2T}{2} = \frac{10}{2}[/tex]

[tex]T = \frac{10}{2}[/tex]

[tex]T = 5[/tex]

Substitute 5 for T in (ii)

[tex]T + W = 8[/tex]

[tex]5 + W = 8[/tex]

Make W the subject

[tex]W = 8 - 5[/tex]

[tex]W = 3[/tex]

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

Answer:

18,20

Step-by-step explanation:

Start aat the -10, go up to the 5, its 15, so if its 15 to one end go the other way and you get 20

Do the same with the - 18 and the 0

Answer:

18.135

Step-by-step explanation:

30*9.75=292.5

6.2%*292.5=18.135

Answer:

because they have 3 sides

Step-by-step explanation: