From the observation deck of a skyscraper, Bashir measures a 45^{\circ} the angle of depression to a ship in the harbor below. If the observation deck is 1057 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.

Answer:

198.6

Step-by-step explanation:

see pic

Answer: parallel is 1 and perpendicular is -1

Step-by-step explanation:

parallel lines have the same slope and perpendicular have the opposite and negative of the slope.

Answer:

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . r is the interest rate, t is the number of years

Solving for P, we have ...

  P = I/(rt)

6 months is 1/2 year, so the principal is ...

  P = $4.38/(0.035×1/2) = $250.2857...

Rounded to the nearest dollar, the principal invested is $250.

__

Using the same approach, for 18 months, t = 18/12 = 3/2 = 1.5.

  P = $20.70/(0.023×1.5) = $600

The principal in Account B is $600.

__

First Month's Interest

Using the interest formula, the first month's interest in each account is ...

  A: I = 250×0.035×1/12 = $0.73

  B: I = 600×0.023×1/12 = $1.15

Account B earns more interest in the first month.

Answer:

A. is 0

B. is -30

C. is 0

Step-by-step explanation:

Hope this helps!

The correct answers are:

We are asked to combine the magic number -15 with the given statements.

Hence, if we combine the magic number with the given statements, we would have:

a. -15 + 15 = 0

b. -15 + (-15)= -30.

c. -15 + 15 = 0.

Hence, the answers are 0, -30 and 0 respectively.

Read more about magic numbers here:

https://brainly.com/question/5023206

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

Answer:

210 cm³

Work:

6×7=42

42×5=210

Step-by-step explanation:

When finding volume of a cube or rectangular prism you do the same thing as when you find the area of a square or rectangle, which is multiply the dimensions.

We see it is 7 cubes long, 6 cubes wide, and 5 cubes tall. To find the volume multiply all of these values together.

7×6×5=210

So, the volume of the prism is 210 cubes. Sense each cube is 1 cm³ the answer to the problem is 210 cm³

The height of the bamboo plant after 15 days is 316 inches.

In order to determine the formula that represents the rate of growth of the bamboo plant, we have to determine the inches of growth per day.

Rate of growth per day = 134 - 121 = 13 inches

The height of the bamboo plant = 121 + 13h

Where h is the number of days

Height in 15 days = = 121 + (13 x 15)

= 316 inches

To learn more about linear functions, please check: https://brainly.com/question/26434260

The underlined part of the sentence can best be described as an adjective phrase.

In formation of sentences in English language, the words that are used usually include the following parts of speech:

An Adjective is a word that describes or modifies a noun or a pronoun. While adjective phrase is the phrase that can be used to modify or describe a noun in a sentence.

From the sentence given, extremely excited is adverbial phrase used to modify the noun vacation.

Learn more about parts of speech here:

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Answer:

$17

Step-by-step explanation:

$93 minus $76 equals $17 which is how much sonny needs to borrow.

Answer: he will need to borrow $17

to make his purchase that cost $93

Step-by-step explanation: $93 - $76 = $17

Answer:

y= 95.

180°-120°=60° (adding 120° with x should give you 180°)

x=60°

25°+60°=85°

180°-85°=95

Answer:

y=95

Step-by-step explanation:

we know that the triangle angles sum is 180°

to find Y you should find x

we are going to find x, we know that a straight angle is 180, to find the x you should:

[tex]120+x=180[/tex]

move 120 to the other side with a negative sign:

[tex]x=180-120\\x=60[/tex]

angle [tex]x=60[/tex]

now we know enough angles to find y:

[tex]25+60+y=180[/tex]

25 is given in the picure and 60 is the x angle while 180 is the sum of a triangle angles, we have to flip the equaton to find y:

[tex]25+60+y=180\\85+y=180\\y=180-85\\y=95[/tex]

Answer:

37

Step-by-step explanation:

I'm having trouble explaining this one, sorry

Answer:

The team is measuring 333 feet below the surface.

Step-by-step explanation:

Step 1. Write the function out

P = 14 +(8d/9)

Step 2. Plug in the (P )ounds [310]

310 = 14 + (8d/9)

Step 3. Remove 14 from the right side of the equation (Subtract 14 from everything)

296 = 8d/9

Step 4. Remove 9 from the right side of the equation (Multiply everything by 9)

2664 = 8d

Step 5. Remove 8 from the right side of the equation (Divide everything by 8)

333 = d

Final Answer: The team is measuring 333 feet below the surface.

Answer:

y = 14 [tex](2)^{x}[/tex]

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 [tex]b^{x}[/tex]

using (6, 896 )

896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )

64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )

b = [tex]\sqrt[6]{64}[/tex] = 2

Then

y = 14 [tex](2)^{x}[/tex] ← is the exponential function

The amount of money Jamar will make in his 18th year working at this job is = $107,500

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is = 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

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Answer:

A) x = 0, y = 14

Step-by-step explanation:

Line A:  y = 6x + 14

Therefore, the slope of line A = 6

If Line B is perpendicular to Line A, then the product of their slopes is -1.

⇒ slope of Line B = [tex]-\dfrac16[/tex]

Given Line B passes through point (2, 13 2/3).

Use slope-point form of linear equation to find equation for Line B:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-13 \frac23=-\dfrac16(x-2)[/tex]

[tex]\implies y=-\dfrac16x+14[/tex]

Solution of system is the point where the lines intersect.

From inspection of the equations of the lines, the point of intersection is (0, 14)

Answer:

11/10 is greater than 1

Step-by-step explanation:

For reference, 10/10 = 1, 8/8 = 1. So when looking at these:

11/10 is 1 and 1/10

7/8 is less than 1

Answer:

128:72

Or

16:9 (simplified)

Hope this helps!

Answer:

64 (2) ^ n-1  

I hope that this helps!

Answer:

  I

Step-by-step explanation:

Reflecting the point across both axes changes the signs of both coordinates. The reflected point will be (2, 8). Both coordinates are positive for points in Quadrant I.

Answer: 63/100

Step-by-step explanation: it is in its most simplified form

Answer:9.9

Step-by-step explanation:

Add up the scores and dividing the total by the number of scores.

Answer:

9.9

Step-by-step explanation:

12+10+12+14+8+15+8+9+6+5 =99

99÷10=9.9

Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

Answer: Y= 1/2X+5

Step-by-step explanation: Equation of the line

The slope-intercept form of a line is given by:

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

We are given the line:

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

The required line contains the point (-8,1), thus the equation is:

Removing the parentheses:

Adding 1:

Operating:

Answer:

C

Step-by-step explanation:

if you plug in the X values, you get the corresponding Y values.

Answer:

1 minute

Step-by-step explanation:

1km = 1000m

30km = 30000m

30km ÷ 60 = 500m

it takes one hour to go 30km or a ratio of 30km to 1hour. 1hour is also 60minutes. 30:60

divide both sides by 60 gets 500m and the amount of time to go that distance 1 minute

Answer:

1/60 hr or 1 minute

Step-by-step explanation:

30 km per hour

30 km : 1 hr

convert 500 metres to km

1 km = 1000 metres

500 ÷ 1000 = 0.5 km

using ratios

30 km : 1 hr

0.5 km : x hr

to get from 30 to 0.5 multiply by 1/60 ( we got this from doing 0.5 ÷ 30) , so do the same to the other side

1 hr × 1/60 = 1/60 hr

you can convert to minutes = 1/60 × 60 = 1 minute

Answer:

Try looking it up

Step-by-step explanation:

sorry i tried! Dont get mmad i tried the best i could to work this out..

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

Given b=4 and ∠β=20°,

a = 10.98991

c = 11.69522

∠α = 70° = 1.22173 rad = 7/18π

h = 3.75877

area = 21.97982

perimeter = 26.68513

inradius = 1.64735

circumradius = 5.84761

a

b

c

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.

c =

b

sin(β)

= 11.69522

a = √c2 - b2

= √11.6952176006522 - 42

= √120.77811472661

= 10.98991

∠α = 90° - ∠β

= 70° = 1.22173 rad = 7/18π

area =

a × b

2

=

10.989909677818 × 4

2

= 21.97982

perimeter = a + b + c

= 10.989909677818 + 4 + 11.695217600652

= 26.68513

inradius =

a × b

a + b + c

=

43.959638711274

26.685127278471

= 1.64735

circumradius =

c

2

=

11.695217600652

2

= 5.84761

- ror