1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
polet [3.4K]
3 years ago
5

I need help with this problem

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

3695.5 m

1530.73 m

Step-by-step explanation:

Given in the question,

The distance probe travels at an angle of depression 67.4 from the ship to the ocean surface = 4000m

We will use trigonometry identities

<h3>sinФ = opposite / hypotenuse</h3><h3>cosФ =  adjacent/ hypotenuse</h3>

1)

distance of probe from top of sea to surface = x

cos(90 - 67.5) = x / 4000

x = 3695.5 m

2)

horizontal distance from ship to probe  = y

sin(90-67.5) = y / 4000

y = 1530.73 m

You might be interested in
Bella saw that 7:11 people brought an umbella to the beach. There were 99 peopel there. How many of them did not have a beach um
Rina8888 [55]

Answer:

36 people of them did not have a beach umbrella.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x represents the number of people did not have a beach umbrella.

As per the statement:

Bella saw that 7 : 11 people brought an umbrella to the beach.

Out of 11 people, only 7 people brought an Umbrella to the beach.

Remaining people did not brought an Umbrella to the beach = 11 -7 = 4 people

It is also given that there were 99 people there.

then by definition of proportion:

\frac{4}{11} = \frac{x}{99}

By cross multiply we have;

99 \times 4 = 11x

Divide both sides by 11 we get;

x = 9 \times 4

Simplify:

x = 36 people.

Therefore, 36 people of them did not have a beach umbrella.

7 0
3 years ago
Solve this equation. 34 + x = 63
qwelly [4]
Subtract 34 from both sides:
x=29
8 0
3 years ago
If s store is selling boxes of pudding at 3 for $0.99,how much would 12 boxes cost
sweet [91]

Answer:

The cost price of 12 boxes of pudding is $3.96

Step-by-step explanation:

Given as :

The quantity of pudding boxes = 3

The cost price for 3 boxes = $0.99

Again ,

The quantity of pudding boxes = 12

Let The cost price for 12 boxes = $x

Now, According to question

<u>Using Unitary method</u>

∵ The cost price of 3 boxes of pudding = $0.99

or,The cost price of 1 boxes of pudding = \dfrac{0.99}{3} = $0.33

∴The cost price of 12 boxes of pudding =$0.33 × 12

I.e x =$3.96

So,The cost price of 12 boxes of pudding = x =$3.96

Hence,The cost price of 12 boxes of pudding is $3.96 Answer

4 0
3 years ago
I need help with math homework
kobusy [5.1K]

Answer:

A. (0, 1) and (2, -2)

B. Slope (m) = -³/2

C. y + 2 = -³/2(x - 2)

D. y = -\frac{3}{2}x + 1

E. \frac{3}{2}x + y = 1

Step-by-step explanation:

A. Two points on the line from the graph are: (0, 1) and (2, -2)

B. The slope can be calculated using two points, (0, 1) and (2, -2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{2 - 0} = \frac{-3}{2} = -\frac{3}{2}

Slope (m) = -³/2

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (2, -2), and m = -³/2 into the point-slope equation, y - b = m(x - a).

Thus:

y - (-2) = -³/2(x - 2)

y + 2 = -³/2(x - 2)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 2 = -³/2(x - 2)

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

2y + 4 = -3x + 6

2y = -3x + 6 - 4

2y = -3x + 2

y = -3x/2 + 2/2

y = -\frac{3}{2}x + 1

E. Convert the equation in (D) to standard form:

y = -\frac{3}{2}x + 1

\frac{3}{2}x + y = 1

8 0
3 years ago
For each diagram, determine whether angles 1 &amp; 2 are adjacent angles, heeeelp please :(
raketka [301]

Answer:

Diagram 5: Not adjacent angles

Diagram 6: Not adjacent angles

Diagram 7: Are adjacent angles

Diagram 8: Are adjacent angles

Step-by-step explanation:

In order for angles to be adjacent, they need to have all of three things:

1. Have a common vertex

2. Have a common side

3. Must not overlap

Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.

Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.

Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.

3 0
4 years ago
Other questions:
  • A rectangular board is 1200 millimeters long and 900 millimeters wide. What is the area of the board in square meters?
    15·2 answers
  • Need help with pythgoream theorem
    5·1 answer
  • -150=6x-3(-x+14) WHAT IS THE ANSWER?
    14·1 answer
  • Test quest and I’m stuck plz help
    10·2 answers
  • What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. HELP PLEASE​
    6·1 answer
  • Classify by it’s sides then determine if the triangle is a right triangle.
    12·1 answer
  • in an isosceles triangle two sides are equal. the third side is 2 less than twice the length of the sum of the two sides. the pe
    14·1 answer
  • Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
    6·2 answers
  • Illmark brainlist please help
    8·2 answers
  • 7 5/10 - 2 2/11 estimate the difference. HELP.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!