Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?
Answers
Answer: Approximately 14.647147438893 meters
Round this value however you need.
===============================================================
Explanation:
Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.
Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.
The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.
Here's what we have so far:
side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degreesWe can apply the law of sines to find side 'a'.
a/sin(A) = c/sin(C)
a/sin(47) = 20/sin(93)
a = sin(47)*( 20/sin(93) )
a = 14.647147438893
Make sure your calculator is in degree mode.
The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.
Related Questions
At the gym, Diana always spends more minutes running than lifting weights.
PART A: Which equations describe the relationship between th number of minutes Diana runs, r, and the number of minutes she lifts weights, w. Select all that apply.
1. 12 + w = r
2. r = w - 12
3. w = 12 + r
4. r - 12 = w
5. r + w = 12
Answers
Answer:
2,3,5
Step-by-step explanation:
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.
Since Diana always spends more minutes running than lifting weights. Hence:
r = w + 12
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
Find out more on equation at: https://brainly.com/question/2972832
Find the total surface area. Round to the nearest hundredth if necessary.
Answers
Answer:
166
Step-by-step explanation:
multiply the 6 by 2 and then multiply 13 by 10
to get 166
Choose 3 values that would make this inequality true. 28 + x > 42 *
Answers
Answer:
15, 16, 17
Step-by-step explanation:
28+ x > 42
⇒ x > 42-28
⇒ x > 14
With that said, the three values would be 15, 16, 17
10 x __= 5/6 + 5/6 Solve.
Answers
Answer:
[tex]let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} [/tex]
Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?
Answers
Answer:
The final balance is $5,389.
The total compound interest is $389.
Step-by-step explanation:
The vertices of ABC are A(-2,4), B (-2,2), and C (-5,2). If ABC is reflected across the line y=1 to produce the image A”B”C find the coordinates of the vertex B’
Answers
The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.
exponential 2^2/2^-3
Answers
Answer:
32
Step-by-step explanation:
2 ^(2- -3)
= 2^5
Answer:
32
Step-by-step explanation:
[tex] \dfrac{2^2}{2^{-3}} = 2^{2 - (-3)} = 2^{2 + 3} = 2^5 = 32 [/tex]
Plz help! Urgent!
Use the information in the table and choose all true statements.
Answers
Answer:
Pretty sure it's the first 3 options.
Step-by-step explanation:
Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!
China and USA have highest/lowest density. You can tell by looking at the chart.
Indias density is about 360 people/km^2
Divide India's population by the Area
= 360.22
And the last option, according to me, is wrong.
Hope it helps !! And if it doesnt, again, pls let me know :)
What is the measure m=?
Answers
Answer:
What is the file?
Step-by-step explanation:
if ax-cd=a wat is x .......
Answers
Answer:
Option A:[tex] \frac{a + cd}{a} [/tex]
Step-by-step explanation:
ax - cd = a
=> ax = a + cd
[tex] = > x = \frac{a + cd}{a} [/tex]
Hence,
Option A is the answer.
Answer:
A. [tex]\frac{a+cd}{a}[/tex]
Step-by-step explanation:
ax-cd=a
Add cd to both sides:
ax=a+cd
Divide both sides by a:
x=[tex]\frac{a+cd}{a}[/tex]
What is the slope of the line perpendicular to 2x-3y=8
Answers
Answer:
y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
2x-3y=8
rewrite, solve for y
3y = 2x - 8
divide by 3
y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]
perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]
The flu started spreading in a school. The first week after winter break, 5 students came to school sick. After each week the number of
sick students increased by 60%. Assuming the model continued for the first several weeks, what is the growth factor that would
appear in the equation for the function?
A.) 1.40
B.) 1.60
C.) 5.60
D.) 1.06
Answers
Ricky is testing soil for a contaminant at a building site,
He'll take action to stop construction if there's strong
evidence that the soil has more than 400 parts per
million (ppm) of the contaminant. He plans on using soil
from n = 30 randomly selected locations at the building
site. His hypotheses are H, :p < 400 ppm and
H:u > 400 ppm, where u is the mean amount of the
contaminant in the soil at this site,
Suppose that in reality, H, is actually true,
Which situation below would result in the lowest
probability of a Type Il error?
Answers
The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15
What is a type II error?It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.
From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.
Learn more about type II error on:
https://brainly.com/question/16012410
Answer:
Step-by-step explanation:
Are the following linear, quadratic, or exponential?
Answers
1. exponential
2. quadratic
3. linear
4. exponential
Answer:
exponential
Quadratic
linear
exponential
Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
(a)
Calculate the total savings from the first store, including the savings on the next purchase.
$
(b)
Calculate the total savings from the second store
Answers
Answer:
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Total saving from Second Store = $ 5
Step-by-step explanation:
Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
To find - (a) Calculate the total savings from the first store, including the savings on the next purchase.
(b) Calculate the total savings from the second store.
Proof -
Given that,
Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5
So,
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Now,
Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5
So,
Total saving from Second Store = $ 5
5th grade math. correct answer will be marked brainliest
Answers
Answer:
2 over 15 I think. I might be wrong. I rarely deal with fractions anymore.
Manny goes bowling.
- He has $25.00 to spend.
- He spends $4.25 to rent shoes.
- He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games he can bowl?
A. 2.5+4.25x≥25
B.4.25+2.5x≥25
C. 2.5+4.25x≤25
D. 4.25+2.5x≤25
Answers
Answer:
D
Step-by-step explanation:
Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%
Answers
Answer:
C
Step-by-step explanation:
different size wedges would be the most visibly different
Are these triangles congruent ?
Answers
Answer:no
Step-by-step explanation:
The formula of calculating the gradient of a line is
Answers
Answer:
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.
According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are
yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal
places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not brown.
Compute the probability that a randomly selected peanut M&M is brown or orange.
Compute the probability that three randomly selected peanut M&M's are all yellow.
If you randomly select six peanut M&M's, compute that probability that none of them are brown.
If you randomly select six peanut M&M's, compute that probability that at least one of them is brown.
Answers
Answer(In bold)/Step-by-step explanation:
Compute the probability that a randomly selected peanut M&M is not blue
P (blue) = 23%
P (blue)C = 1 - P(blue) = 100% - 23% = 77%
Compute the probability that a randomly selected peanut M&M is green or red.
P (green) = 15%
P (red) = 12%
P (green or red) = P(green) + P(red) = 27%
Compute the probability that three randomly selected peanut M&M’s are all yellow.
P (yellow) = 15%
(P(yellow))3 = 0.338%
There was replacement in the selection process.
If you randomly select six peanut M&M’s, compute that probability that none of them are brown.
P(brown) = 12%
P(brown)C = 1 - P(brown) = 100% - 12% = 88%
(P(brown)C)6 = 46.440%
a cone has a height of 35 and a radius of 19
Answers
Answer:
Step-by-step explanation:
The radius should be 17.5 if the height is 35. And also what is the question?
Answer:
Base area = 1,134.115
Lateral surface = 2,377.142
Slant height = 39.825
Surface area = 3,511.257
Volume = 13,231.341
Step-by-step explanation:
Four equal sized boxes contain a
maximum of 80 books. How many
books will fit in 10 boxes?
Answers
If one box contains 20 books, then 10 boxes should fit 10 • 20 = 200 books.
State the name of the property illustrated. 5 + [7+(4)] = (5+7) + (4)
A. Communtative property of addition
B. Identity property of addiction
C. Associative property of addition
Answers
Please help me with this and fast!
Answers
Answer:
16
5
O
I think
Step-by-step explanation:
What’s the circumference?
Use 3.14 for pi
Extra large pizza: 20in diameter
Large pizza: 16in diameter
Medium pizza: 12in diameter
Small pizza: 10in diameter
If you help me with all of them I’ll give BRAINLIEST!!!
Answers
Answer:
all the stuff written there are answers if I'm wrong tell me I'll try it out again have a good day.
In a class of 50 students, 20 play hockey and 35 play football . 10 students play both hockey and football.
Answers
Can someone help me with 1 2 and 3 please
Answers
Answer:
1. vertical angles
2. 90°, complementary
3. 180°, supplementary
Answer:
1) Vertical angles
2) 90°, complementary
3) 180°, supplementary
Step-by-step explanation:
1) Intersecting lines form vertical angles.
According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.
2) ∠AQV is 30°, and ∠VQT is 60°.
30° + 60° = 90°. The sum of these angles is 90°.
And, complementary angles are two angles with measures that sum up to 90°.
3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.
∠CQB is 30°.
And, 150° + 30° = 180°.
Supplementary angles are two angles with measures that sum up to 180°.
Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i
Answers
Answer:
[tex]\sqrt{-25} = 5i[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{-25[/tex]
Required
An equivalent
We have:
[tex]\sqrt{-25[/tex]
Express -25 as -1 * 25
[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]
Split
[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]
[tex]\sqrt{25} = 5[/tex], so:
[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]
[tex]\sqrt{-1} = i[/tex] --- complex numbers
So:
[tex]\sqrt{-25} = i * 5[/tex]
[tex]\sqrt{-25} = 5i[/tex]
Hence, the equivalent is (D)
someone please help me answer this!!
Answers
Answer:
4 1/10
Step-by-step explanation:
4.1
= 4 + 1/10
= 4 1/10
Hope you understand!
