Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the
minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = -10
-30 + x = 10 and -30 + x = -10
x + 10 = 30 and x + 10 = -30
O X - 10 - 30 and x - 10 = -30

Answer:

1) 15:26 PM

2) 15:26 PM

3) 11:05 AM

4) 9:35 AM

Step-by-step explanation:

The laws of cosines and law of sines can be used given that two sides

and an included angle, or two angles a side are known.

Response:

1. The other angles in the triangle formed by the buoy are approximately;

2. Distance of the helicopter from the first island is approximately;

Given parameters are;

Distance of the buoy from the easternmost point of a boat = 19 yards

Distance of the buoy from the westernmost point of the other boat = 15 yards

Angle formed from the buoy to the two boats = 108°

Distance between the two boats, d, is given by the law of cosines, as follows;

d² = 19² + 15² - 2 × 19 × 15 × cos(108°) = 586 - 570·cos(108°)

d = √(586 - 570·cos(108°))

By the law of Sines, we have;

[tex]\dfrac{d}{sin(108^{\circ})} = \mathbf{\dfrac{15}{sin(Angle \ formed \ from \ the \ boat \ on \ the \ West, \ \theta_1)}}[/tex]

Which gives;

[tex]sin(\theta_1) = \mathbf{ \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} }}[/tex]

The o

[tex]\theta_1 = arcsin \left( \dfrac{15 \times sin(108^{\circ})}{\sqrt{586 - 570 \cdot cos(108^{\circ})} } \right) \approx \mathbf{31.1^{\circ}}[/tex]

The other angles formed in the triangle containing the buoy are;

2. Distance between the two islands = 20 miles

Angle of elevation with one island = 15°

Angle of elevation with the second island = 35°

Required:

The mileage (distance travelled) of the helicopter.

Solution:

Let A represent the island that has an angle of elevation to the helicopter

of 15°, and let B represent the other island.

Angle formed by the helicopter and the two island, θ, is found as follows;

θ = 180° - (15° + 35°) = 130°

By the Law of Sines, we have;

[tex]\dfrac{20}{sin(130^{\circ})} = \mathbf{ \dfrac{Distance \ from \ island \ A }{sin(35^{\circ})}}[/tex]

Which gives;

[tex]Distance \ of \ helicopter \ from \ island \ A = \mathbf{ \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ})}[/tex]

[tex]Mileage \ from \ island \ A = \dfrac{20}{sin(130^{\circ})} \times sin(35^{\circ}) \times cos(15^{\circ}) \approx 14.5[/tex]

Learn more about the Law of Sines and Cosines here:

https://brainly.com/question/8242520

https://brainly.com/question/2491835

Answer:

1. variable = x

2. constant = 1,  variable = a

3. variables = x and y

4. variables = r and s

5. constant = -11, variables = a and b

Step-by-step explanation:

1. variable = x

2. constant = 1,  variable = a

3. variables = x and y

4. variables = r and s

5. constant = -11, variables = a and b

Answer:

[tex]=7x^2+8[/tex]

Step-by-step explanation:

[tex]5x^2+x^2+2+x^2+6[/tex]

[tex]=5x^2+x^2+x^2+2+6[/tex]

[tex]=5x^2+x^2+x^2+8[/tex]

[tex]=7x^2+8[/tex]

Brainliest?!

Answer: P=2(l+w)=2·(1.5+4)=11 is the answr

Step-by-step explanation:

Answer:

1/2 x base x height

Step-by-step explanation:

hope this helps!

Answer:

a. 0.43*125=

53.75

b. this is a little harder we need to find what the conversane is for ec to us

ec 0.43= 1 tt so

6.3*0.43

2.71 ec=1 us

850.94 divided by 2.71

314 us

Hope This Helps!!!

Answer:

An angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

"in any triangle, the longest side is opposite the largest angle"

Step-by-step explanation:

Answer:

an angle is a In-plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. An angle is denoted using the symbol. and you can describe an angle by looking for the figure formed by two rays meeting at a common end point.

Step-by-step explanation:

hope this helps you

The slope of an equation of a line is the number that is in front of the x,,

In y=4x-7 the slope would be 4

Answer: 4

Answer:

[tex]\huge\boxed{\sf e =21}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle \frac{e}{3} = 7\\\\Multiply \ both \ sides \ by \ 3\\\\e = 7 \times 3\\\\e = 21\\\\\rule[225]{224}{2}[/tex]

Hope this helped!

Answer:

mS.G = 68

*NOTE: If units are needed, then put a degree symbol (68°), but since the measure of the other arc which is arc F.G has no degree symbol, then I didn't use a degree symbol.

Step-by-step explanation:

It wouldn't let me submit my explanation, but I took a screenshot, so here

Answer:

a because that what I got

Answer:

a is greater by 25

Step-by-step explanation:

a is greater by 25 hope it helps

Answer:64

Step-by-step explanation:

a is greater

a is 64

Answer:

x=10º

y=20º

Step-by-step explanation:

7x+90+20=180º

7x=70º

x=10º

5x+2y=90º

5(10)+2y=90

2y=40

y=20º

Please give me brainly o3o

Answer:

A racer has just completed his first lap at a speed of 198m/s. Now his speed decrease or he decelerateted at 195m/s after 2s of his completion of first lap, as soon as he saw a curve path(line segment R). He then moved at a constant speed of 195m/s for the next 2s(line segment s). Then the race track after 4s of the completion of first lap was straight, so the racer accelerated to 200m/s within 2s( line segment T) and traveled at a constant speed for the next 6s( line segment U). After 12s from the first lap completion, he immediately saw a curve track, so he decelerateted to the speed of 194m/s within 3s( line segment V).

Hope it helped.

please mark brainliest

Answer:

b is you answer hope it helps you

Answer: its graph 2 becuse it goes through a y intercept of 4 nd isnt negtive. If the formula was negative it would be on the left side/ Correct answer has to be "2"

Step-by-step explanation:

Answer:

The answer is San Francisco.

Step-by-step explanation:

For New York City, when there 0 miles traveled the total cost is $2.50, where as in San Francisco it is $2.85.

As you can see San Francisco has a higher rate of ($2.85).

Hope that helps!

The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144  × 10¹².

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The two numbers are [tex]\rm 6.7*10^6 \ and \ 3.2 * 10^5[/tex]

Then find the product of these two numbers.

To multiply these terms is very simple.

First, multiple 6.7 and 3.2 simply. And the power of 10 gets added. That is

[tex](6.7*10^6) * (3.2 * 10^5) = 6.7 * 3.2 * 10^6 *10^5\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44* 10^{6+5}\\\\(6.7*10^6) * (3.2 * 10^5) = 21.44 *10^{11}\\\\(6.7*10^6) * (3.2 * 10^5) = 2.144* 10^{12}[/tex]

The product of 6.7 × 10⁶ and 3.2 × 10⁵ can be written in scientific notation is 2.144  × 10¹².

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

bro, i answered it already

in your previous question

the second 133.40

Answer:

23/5

Step-by-step explanation:

4 3/5 = 23/5
first multiply 4 x 5 then multiply that answer by 3

then you get 23/5 the denominator stays the same
I hope this helps and I hope this is the right answer for your hw/test

Answer:

A

Step-by-step explanation:

For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively

Triangle is a 2-D shape that has 3 sides and angles. Some of the types of triangle include:

For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively

Learn more on right angles here: https://brainly.com/question/24323420

#SPJ2

Answer:

F = 27

Step-by-step explanation:

you subtract 27-9+4

Answer:

f = 27

Step-by-step explanation:

f - 9 + 4 = 22

f-5 = 22

Add the numbers

↓

f = 27

Answer:

132.11

Step-by-step explanation:

7002 ÷ 53 = 132.11

Thus, The answer is 132.11

-TheUnknownScientist 72

Answer:

love

Step-by-step explanation:

Answer:

$173.70

Step-by-step explanation:

350-4(18.45)-2(51.25)=173.70

Answer:

The square root of 30 is a decimal 5.477...

Step-by-step explanation:

The square root of 30 = 5.477 rounded up is 5.5

Answer:

GI = 72

Step-by-step explanation:

[tex]GI=48+HI[/tex]

[tex]\frac{48}{HI} =\frac{30}{15}[/tex]

[tex]HI=\frac{(48)(15)}{30} =\frac{720}{30} =24[/tex]

Then:

[tex]GI=48+24=72[/tex]

Hope this helps

Answer:

B) 80 m

Step-by-step explanation:

Let W = width

Let L = length

perimeter of a rectangle = 2 x width + 2 x length = 2(W + L)

If the perimeter of a rectangle = 20 m

⇒ 2(W + L) = 20

If we multiply both its length and width by 4:

Width = 4W

Length = 4L

⇒ perimeter = 2(4W + 4L) = 8(W + L)

As 2(W + L) = 20

Then 8(W + L) = 4 x 2(W + L) = 4 x 20 = 80 m

Answer:

50

Step-by-step explanation: