PLS HELP!!!

The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?

PLEASE INCLUDE EXPLANATION!!!! THANK YOU!!!

PLS HELP!!!The Coast Guard Is Out To Sea And Gets Notification That Two Ships Need Help. One Ship Is

Answers

Answer 1

So

cos47=Base/Hypotenusecos47=y/6y=6cos47

And

sin47=x/6x=6sin47

sin47=0.73

cos47=0.68

So meanwhile sin is greater so 6sin is also greater

x is greatership 2 is closer
Answer 2

Answer:

Ship 2

Step-by-step explanation:

From inspection of the diagram, the problem has been modeled as a right triangle.  Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

To find [tex]x[/tex] use the sine trig ratio:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]

[tex]\implies x=6 \sin(47^{\circ})[/tex]

[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]

To find [tex]y[/tex] use the cosine trig ratio:

[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]

[tex]\implies y=6 \cos(47^{\circ})[/tex]

[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]

As 4.09 < 4.39, ship 2 is currently closer to the coast guard.


Related Questions

I really need help with this.

Answers

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

To multiply 64 • 8.32, use the logarithmic equation:
1) log 72.32


2) log 64 + log 8.32


3) antilog 64 + antilog 8.32


4) (log 64)(log 8.32)

Answers

To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

To answer the question, we need to know what logarithm of a number is

What is the logarithm of a number?

The logarithm of a number x is the power to base 10 of that number.

So, logarithm of x to base 10 is written as ㏒x.

Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.

Addition rule of logarithm

㏒ab = ㏒a + ㏒b

So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32

So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32

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A box contains orange balls and green balls. The number of green balls is ten more than four times the number of orange balls. If there are 110 balls altogether, then how many green balls and how many orange balls are there in the box?

Answers

Answer:

there are 50 orange balls

Step-by-step explanation:

let green balls be x

orange balls be y

green balls = orange balls + 10

x = y+10

orange balls + green balls = 110

x + y = 10

y + 10 + y = 110

2y + 10 = 110

2y = 110 -10

2y = 100

y = 50

thus there 50 orange balls

Jacob has 2 kilograms of flour. If his brother has one gram more than Jacob, how many grams of flour does Jacob's brother have?

Answers

2 kilograms of flours is 2000 grams, Jacobs brother would have 2001 grams of flour.

Mary has 6 blouses, 5 skirts and 4 belts. How many outfits can she make, consisting of a blouse, a skirt and a belt?

Answers

Answer:

120

Step-by-step explanation:

Use the counting principle.

6 × 5 × 4 = 120

Answer: 120

Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of the epidemic, how many people have become ill?

Answers

Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

Graph the set {x | -7 < x < - 1} on the number line. Then, write the set using interval notation. Thank you!

Answers

To graph this on a number line, we'll have open holes at -7 and -1. Then shade between those open holes to complete the graph. The open holes tell the reader "do not include the endpoint". The x values span from -7 to -1, excluding both endpoints. Use of filled in holes, or closed endpoints, will signal that we include the endpoint.  

The answer in interval notation is (-7, -1) which unfortunately looks identical to ordered pair notation. The parenthesis tell the reader to exclude the endpoints. If you wanted to include the endpoint, then use a square bracket instead.

Summary:Graph: Plot two open holes at -7 and -1, then shade in betweenInterval notation:  (-7, -1)

Convert: 8 tons = _____ pounds


4 pounds
80 pounds
8,000 pounds
16,000 pounds

Answers

1 ton = 2000 pounds
8 tons = 2000x8 = 16000 pounds

answer : 16000 pounds

Answer:

16,000 pounds hope this helps!

[tex]\sqrt{272}[/tex] Simplify.

Answers

√272 is a real number, and the simplified expression of √272 is 4√17

How to simplify the expression?

The expression is given as:

√272

Expand

√272 = √16 * 17

Take the square root of 16

√272 = 4√17

Hence, the simplified expression of √272 is 4√17

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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

x > 3

Step-by-step explanation:

The final step in solving the inequality –2(5 – 4x) < 6x – 4 is

-6/-2 < x = 3 < x

Help asap please. Thank you!!!!

Answers

Answer:

Step-by-step explanation:

You've plotted 3 points where x = 0, 1 and 2

= where y = 1, 1 1/2 and 9/4

They are correct.

I suggest you plot 1 more where x = -1 and another where x = 3

Where x = -1 , y = (3/2)^-1 = 2/3.

x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.

Which graph represents the function f(x) = –x2 + 5? On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4). On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9). On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9). On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the quadratic function

[tex]f(x)=-x^2+5[/tex]

This is a vertical parabola open downward

The vertex is a maximum

Remember that

The equation of a vertical parabola in vertex form is equal to

[tex]y=a(x-h)^2+k[/tex]

where

a is a coefficient

(h,k) is the vertex

In this problem

a=-1

(h,k)=(0,5) ----> vertex

The y-intercept is the point (0,5) ---> value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points  --->values of x when the value of y is equal to zero  

using a graphing tool

The graph in the attached figure

Answer:

A on edge

Step-by-step explanation:

i took the test

What is the value of 50 x 3 - 120 / 40

Answers

Answer:

The answer is 150-3

That is 147

Step-by-step explanation:

Do This

(50 x 3)-(120/40)

150-3

147 is your answer

Look at the image below.

Find the area of the parallelogram.

Answers

Answer:

Below.

Step-by-step explanation:

Area = base * perpendicular height

= 3 * 5

= 15 square units.

The area of the parallelogram is 15 square units.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal

Area of a two dimensional shape is the total region which is bounded by the object's shape.

If the base and height is known,

Area of a parallelogram = base × height

Given base = 3

Height = 5

Area = 3 × 5 = 15 square units

Hence the required area of the parallelogram is 15 square units.

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Need help for this please

Answers

Step-by-step explanation:

what is the problem ?

we only need to use the formula that can be found easily on the internet.

the area of a circle is

pi×r²

r being the radius (half of the diameter). in our case :

14/2 = 7 m

and we shall use 22/7 as approximation for pi.

so, we get as circle area

22/7 × 7² = 22 × 7 = 154 m²

PLEASE HELP WILL MARK BRSINLIEST!!!!!

Answers

Answer:

AC=18

Step-by-step explanation:

Let's look at the smaller triangle first. Side AB is 2.5, side BC is 3.5 and side AC is 4.5. Now, looking at the larger triangle, we see that side AB is 10, side BC is 14 and side AC is unknown.

So, how do we find side AC?

First, let's take a look at the other sides available to us—how about AB? On the smaller triangle, AB=2.5, and on the larger triangle AB=10. So, what's their relation?

Well, let's first divide the two by each other: 10/2.5, of which gets us 4. Now, this in itself gives us answer, but let's just double check to be sure. So, taking side BC on the smaller triangle, 3.5, and on the larger triangle, 14, we then divide the two again. 14/3.5 and- look at that! We get 4 again again.

This tells us that 4 is then our multiplier, so we can write the equation as follows: 4.5 (of which we get from the smaller triangle) *4=?. So, with the equation 4.5*4, we get 18 as our answer for ?, or simply the unknown side "a".

(x) = -2x - 3
g(x) = 3x + 1
Find (f .g)(x)

Answers

Answer:

Answer:-6x^2 -11x - 3

Step-by-step explanation:

(f.g)(x)=(-2x-3)(3x + 1)

= -6x^2 -11x - 3

Please help me with this really need the answer please

Answers

Answer: 33.148 cm^2

Step-by-Step Explanation:

Length (l) = 2.1 cm
Width (w) = 1.34 cm
Height (h) = 4 cm
Surface Area = 2(lw + wh + lh)

Therefore,
=> 2(lw + wh + lh)
= 2(2.1 * 1.34 + 1.34 * 4 + 2.1 * 4)
= 2(2.814 + 5.36 + 8.4)
= 2(16.574)
= 2 * 16.574
=> 33.148

Surface Area = 33.148 cm^2

SOMONE PLEASE HELP ME I WILL GIVE YOU 30 POINTS AND BRAINLESS??

Given: mZRPQ = 23°; m ZTPR = 85

If ZSPR and ZRPQ are complementary angles, then what is the measure of ZTPS?

A. 5
B. 18°
C. 23°
D. 67°

Answers

Answer:

I would think 23°

Step-by-step explanation:

I could be wrong but I would think 23° because if I remember correctly they're congruent.

please help will mark Brainliest!!​.​

Answers

Answer: 12.56
Explanation: 2pi r
2 • 3.14 • 2

Questions are on the picture, a-e.

Answers

The equilibrium price is $1.12.If price is $0.98, there would be scarcity of Super Widgets. When price is $0.98, quantity demanded is y. When price is $0.98, quantity supplied is x. When price is $1.22, there would be a surplus of Super Widgets.

What is equilibrium?

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

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Given the following equation what is the value of y if x = 7

Answers

y = 8(49) + 9(7) + 11

y = 466

4. For exercise, Francesca walks laps around a track. She walked 0.9 of a lap around the track in 5 minutes. If each lap is 440 yards, how fast did
Francesca walk?
•88 yards per minute
•360 yards per minute
•90 yards per minute
• 79.2 yards per minute

Answers

Answer:

79.2 yards per minute

Step-by-step explanation:

First you 440 times 0.9. which equals 396. Then you divide the answer by 5 to get 79.2.


The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.

Answers

Answer:

y=[tex] \frac{32}{x} [/tex]16

Step-by-step explanation:

y=

[tex] \frac{k}{x} [/tex]

when x=4 and y = 8

k =xy

k=4×8=32

:- y=

[tex] \frac{32}{x} [/tex]

when x = 2

y=

[tex] \frac{32}{2} [/tex]

:- y = 16


Which polynomial expression is equal to (a + 3)(a − 3)(a² + 9)?

Answers

Answer:

a⁴ - 81

Step-by-step explanation:

Identity applied :

(a + b)(a - b) = a² - b²

Simplifying :

(a + 3)(a − 3)(a² + 9)(a² - 9)(a² + 9)a⁴ - 81

What is the slope of a line that passes through the points open parentheses 5 comma 3 close parentheses and open parentheses 7 comma short dash 4 close parentheses?

Answers

Answer:

[tex]slope \: = - \frac{ 7}{2} [/tex]

Step-by-step explanation:

To find the slope of the line that passes through the points

[tex] \: {x}^{1} \: \: {y}^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} \: \: \: \: {y}^{2} \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)[/tex]

We have to follow the formula:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ \frac{ - 4 - 3}{7 - 5} \\ \\ slope = - \frac{ 7}{2} [/tex]

15
Select the correct answer.
If f(x) = (x+1)-¹ and g(x)
= x^-2, what is the domain of f(x) = g(x)?

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=g(x) \implies \frac{1}{x+1}=\frac{1}{x^{2}}[/tex]

This means the denominators cannot equal to (because then the fractions would be undefined) so the domain is [tex]x \in \mathbb{R} -\{-1,0\}[/tex]

. Estimate the sum of 277 and 854 and write them in Roman numerals.

Answers

Answer:

The answer is MC = 1100. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Step-by-step explanation:

I just added them up to get the real answer. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Answer: MCXXXI
The sum of 277 and 854 is 1131.
M = 1000
C = 100
X = 10
I = 1

Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?

Answers

Answer: 180 minutes

90 miles in 3 hours

Step-by-step explanation:

60 minutes = 1 hour

60 mins/20 mins = 3

60*3 = 180

30 miles per hour for 3 hours is 90 miles

Teresa is maintaining a camp fire. She can
keep the fire burning for 4 hours with 6 logs.
She wants to know how many logs (y) she
needs to keep the fire burning for 18 hours.
She assumes all logs are the same.
How many logs does Teresa need to
maintain the fire for 18 hours?

Answers

Answer:

27

Step-by-step explanation:

she needs 24 logs to keep the fire for 16 hours(4×6). And for next 2 hours she's gonna need 3. altogether it's 27.

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