Answer: D. 12 ft3
Step-by-step explanation:
1. An observer 80 ft above the surface of the water measures an angle of depression of 0.7o to a distant ship. How many miles is the ship from the base of the lighthouse? (5280 ft = 1 mile)
Commercial airliners fly at an altitude of about 10 km. They start descending toward the airport when they are far away, so that they will not have to dive at a steep angle.
2 a) If the pilot wants the plane's path to make an angle of 3o with the ground, at what horizontal distance must the plane start descending?
b) If the pilot starts descending a ground distance of 300 km from the airport, what angle will the plane's path make with the horizontal?
3. A submarine at the surface of the ocean makes an emergency dive, making an angle of 21o with the surface. If it travels for 300 m along a downward path, how deep will it be?
Answer:
1. The distance of the ship from the base of the lighthouse is approximately 1.24 miles
2. a)The horizontal distance the plane must start descending is approximately 190.81 km
b) The angle the plane's path will make with the horizontal is approximately 18.835°
3. The depth of the submarine is approximately 107.51 m
Step-by-step explanation:
The
1. From the question, we have;
The height of the observer above the water = 80 ft.
The angle of depression of the ship from the observer, θ = 0.7°
Let the position of the observer be 'O', let the location of the ship be 'S', let the point directly above the ship at the level of the observer be 'H', we have;
[tex]tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{HS}{OH}[/tex]
[tex]The \ horizontal \ distance \ of \ the \ ship, OH = \dfrac{HS}{tan(\theta) }[/tex]
HS = The height of the observer = 80 ft.
Therefore, we get;
[tex]The \ horizontal \ distance \ of \ the \ ship, OH = \dfrac{80 \, ft.}{tan(0.7^{\circ}) } \approx 6,547.763 \ ft.[/tex]
The distance of the ship from the base of the lighthouse ≈ 6,547.763 ft. ≈ 1.24 miles
2. The elevation of the plane, h = 10 km
The angle of the planes path with the ground, θ = 3°
Similar to question (1) above, the horizontal distance the plane must start descending, d = t/(tan(θ))
∴ d = 10 km/(tan(3°)) ≈ 190.81 km
The horizontal distance the plane must start descending, d = 190.81 km
b) If the pilot start descending 300 km from the airport, the angle the plane's path will make with the horizontal, θ, will be given as follows;
From trigonometry, we have;
[tex]tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
Where the opposite leg length = The elevation of the plane = 10 km
The adjacent leg length = The horizontal distance from the airport = 300 km
[tex]\therefore tan(\theta) = \dfrac{10 \, km}{300 \, km} = \dfrac{1}{3}[/tex]
[tex]\theta = arctan\left(\dfrac{1}{3} \right ) \approx 18.835^{\circ}[/tex]
The angle the plane's path will make with the horizontal, θ ≈ 18.835°
3. The angle at which the submarine makes the deep dive, θ = 21°
The distance the submarine travels along the inclined downward path, R = 300 m
By trigonometric ratios, we have;
The depth, of the submarine, 'd' is given as follows;
[tex]si(\theta)= \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{d}{R}[/tex]
∴ d = R × sin(θ)
d = 300 m × sin(21°) ≈ 107.51 m
The depth of the submarine ≈ 107.51 m
Triangle LMN is given. What is the value of cos(N)?
A) 4/5
B) 3/5
C) 3/4
D) 4/3
Find the area of the trapezoid.
6 in.
4 in.
8 in.
Answer:
40 in.
Step-by-step explanation:
A=(a+b)/2 x h
SOEMOME PLEASE HELO
Answer:
the secound one
Step-by-step explanation:
hope it helped:3
8 - (-3) + 33 : (-3)
Answer:
Step-by-step explanation:
8-(-3)= 8+3+33=42
WILL MARK BRAINLIST FOR THE CORRECT ANSWER!!
The figure shown is formed by a square of area 4 and a semicircle. Find the perimeter of the figure.
A) π + 6
B) π + 8
C) 2π + 4
D) 2π + 6
Answer:
answer is A
Step-by-step explanation:
3*2=6
2pi/2=pi
The perimeter of the given figure is equivalent to (6 + π) units
What is Perimeter?Perimeter is defined as the length of the boundary of the given figure. We can write the perimeter mathematically as -
P = ∫f(x) dx
Given is to find the perimeter of the given image as shown.
We can write the area of the square as -
a² = 4
a = √4
a = 2
Also,
The perimeter of the semicircular part is -
1/2 x 2π x 2/2
π
So, the perimeter would be -
P = 2 + 2 + 2 + π
P = 6 + π
Therefore, the perimeter of the given figure is equivalent to (6 + π) units.
To solve more questions on areas & perimeter, visit the link-
https://brainly.com/question/29213222
#SPJ3
Find the product or type
• "impossible" ”
9/11 -2 1]
ပြီး
4 -8
9 -18
? ] [
4
9
Enter
Answer:
7,-14,7
Step-by-step explanation:
QUESTION 13: Select each expression that is equivalent to -2 -3(n-1)."
3n+ 3-2
4(n + 1)
-2(n+2) + 5(n+1)
3n + 1
-5(n+1)
n+1
First, we have to simplify the first expression so we know what we're lookin' for.
-2-3n+3, -3n+1
We can scroll down the list of choices, and we can already see the answer.
---
sorry if this doesn't help
please sleep me helpppp
Answer:
help me first on this question
Step-by-step explanation:
-time framed assignment-
Questions listed in photo:
to be honest I don't know I need points
S
А.
B
D
с
Given ABCD is an isosceles trapezoid with
BC=9x+1 and AD=12x-11, find the value of x.
If the answer is 9, move to I
If the answer is 3, move to H
If the answer is 7, move to Y
If the answer is 4, move to T
Answer:
x = 4
Step-by-step explanation:
A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.
In trapezoid ABCD, BC and AD are the diagonals.
Hence BC = AD (property of isosceles trapezoid)
9x + 1 = 12x - 11
Simplifying:
12x - 9x = 1 + 11
3x = 12
Dividing both sides by 2:
x = 4
A box has a length of 7 centimeter so,a width of 2 centimeters, and a height of 4 centimeters.The bottom layer of the box is filled with 14 unit cubes that measure one centimeter on each side.which expression represents the volume of the box in cubic centimeters
Answer:
V = (14)(4) V = 56cm³
Step-by-step explanation:
The Volume is Base times Height
We are given that the base is 7cm by 2cm.
That is 14 cm² (The cubes each have volume of 1 cm³, so the volume of that bottom row is 14cm³, technically, but ignore that for now.)
To find the volume, multiply the base times the height.
V = 14cm² × 4cm
V = 56cm³
If F(x) = 2x +4, which of the following is the inverse of F(x)?
x4)
A. F'(x) = 7(x+4)
O B. F'(x) = 2(x+
C. F"(x) = 2(x == 4)
D. F'(x) = 7(x-4)
Suppose that 10 years ago you bought a home for $130,000 paying 10% as a down payment, and financing the rest at 9% interest for 30 years. How much money was your existing loan for.
Answer:
13,000
Step-by-step explanation:
10% of the original purchase price of $130,000.
130,000 x .10 = 13,000
Katelyn drove 210 miles in 3 hours. Samantha
drove 540 miles in 8 hours,
Who drove faster? Explain your answer.
please help it’s for 21 points
Answer:
katelyn
Step-by-step explanation:
you divide distance by time to get rate, and katelyn has a faster rate because 210/3 is more than 540/8
Answer:
Katelyn drove faster
t=d/s
s=d/t
d=s*t
Step-by-step explanation:
s=d/t is what we are using to find the speed
Katelyn- 210/3=70
Samantha-540/8=67.5
70>67.5
Katelyn drove faster
can you solve this for me please?
Answer:
19: 106
20: 79
21: 70
Step-by-step explanation:
Circle upper left
The central angles all add up to 360 degrees
BC + CD + 148 = 360
But CD = BC
2BC + 148 = 360 Subtract 148 from both sides
2BC = 360 - 148 Combine
2BC = 212 Divide by 2
BC = 106
20
3 of the 5 arcs are marked as being equal.
Let each of them be called = x
3x + 41 + 82 = 360 Combine
3x + 123 = 360 Subtract 123 from Both sides.
3x = 360 - 123
3x = 237
x = 237 / 3
x = 79
BC = 79
21
Unless DE and FC are diameters, this can't be solved. I will assume they are.
FB + 48 + 22 = 180.
FB + 70 = 180
FB = 110
===========
FC = FB + BD + DC
180 = 110 + 22 + DC
180 = 132 + DC
DC = 180 - 132
DC = 48
===========
BC = BD + DC
BC = 22 + 48
BC = 70
7th grade math, fairly easy, 50 points total! Devika pours 4.2 ounces of water from a full bottle. She estimates that she poured out 35% of the water in the bottle. About how much water was in the full bottle?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
SWYK 16: Slope and Y-Intercept
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
Solve: negative 1 over 2 x + 3 = −x + 7
Answer:
Assuming what you meant was [tex]\frac{1}{2}x + 3 = -x +7[/tex], the answer would be x = 8
I have some stickers in my collection.
My sister has 29 more than I do.
Together we have 773 stickers. How
many stickers are in my collection?
Answer:
Step-by-step explanation:
s=y+29
s+y=773, using s from above makes this
y+29+y=773
2y+29=773
2y=744
y=372
So you have 372 stickers in your collection.
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot
D. 25 27 29 31 33 35
Answer:
it s d
Step-by-step explanation:
what is the answer please i need help
Answer:
Step-by-step explanation:
7. The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x, where x is
the number of complete video games manufactured. Which set of numbers best defines the domain of c(x)?
(1) integers
(2)positive real numbers
(3) positive rational numbers
(4)whole numbers
Answer:
(4) whole numbersStep-by-step explanation:
Given function:
c(x) = 400 + 25xwhere x is the number of complete video games.The complete video games can be expressed as positive integers or whole numbers, so the domain is whole numbers.
Correct choice is (4)
Answer:
Whole Number
Explanation:
Domain : The set of all the input values (i.e. the value of x ) in the function is called domain
The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x
Cost expression : C(x) = 400 + 25x
Cost expression : C(x) = 400 + 25x
As x defines the number of complete video, since number of video cannot be negative.
1) Integers : integers are the numbers which can be positive, negative or zero, but cannot be a fraction
As, number of videos cannot be negative
so, x cannot be any integers
So, Integers is not the domain
2) Positive real numbers : Real numbers are the numbers which include both rational and irrational numbers.
As the x represent the complete number of video games, thus, x cannot be irrational
Hence, Positive real numbers is not the domain
3) Positive Rational Number : a number is expressed in the form of p/q then it is a rational number
The number of videos are in the complete number, so a fraction cannot be a complete number, thus, rational number cannot be a domain.
4) Whole Number : Whole numbers include natural numbers that begin from 1 onwards
As Numbers of videos are the complete number, and they are always positive, which is the defination of whole number, Domain is whole number
PLS HELP DUE TODAY,25 POINTS TO BRAINLIEST
Answer:
I think it’s H
Step-by-step explanation:
Answer:
The answer is H bacause it has the most number of colours
c+11=24
please help!!
Answer:
13
Step-by-step explanation:
Answer:
c=13
Step-by-step explanation:
Hey There!
c+11=24
When looking at this problem you want to get the variable on one side (c) and the constant on the other ( any whole number)
as you can see we need to get rid of the 11 on the left side
to do that we subtract 11 but whatever you do to one side you have to do to the other side
11-11 cancels out
24-11=13
so we can conclude that
c=13
What is 1390000000 in scientific notation?
Answer:
139 e7
Step-by-step explanation:
I'm not good at scientific notation but I think I'm getting better....
Answer:
1.39 x 10^9
Step-by-step explanation:
Fatimah wants to build a one-sample z interval to
estimate the proportion of students at her school who ate
breakfast every day last week with 90% confidence. She
takes a random sample of 75 students and finds that 20
ate breakfast every day last week.
What critical value z* should Fatimah use to construct
this confidence interval?
A) z* = 1.282
B) z* = 1.645
C) z* = 1.96
D) z* = 2.576
Answer:
B: z*=1.645
Step-by-step explanation:
Khan academy step by step
Answer: z*=1.645
Step-by-step explanation:
A scientist adds drops of liquid to a test tube. The test tube has marks every ml.
Each drop contains 0.14 mL. Between which two marks on the test tube will the
liquid be after the sixth drop is added?
a. 1/5 and 2/5, between 0.2 and 0.4 mL's
b.2/5 and 3/5, between 0.4 and 0.6 ml's
c.3/5 and 4/5, between 0.6 and 0.8 mL's
d. 4/5 and 5/5, between 0.8 and 1 ml
Answer:
A scientist adds drops of liquid to a test tube. The test tube has marks every ml.
Each drop contains 0.14 mL. Between which two marks on the test tube will the
liquid be after the sixth drop is added?
a. 1/5 and 2/5, between 0.2 and 0.4 mL's
b.2/5 and 3/5, between 0.4 and 0.6 ml's
c.3/5 and 4/5, between 0.6 and 0.8 mL's
d. 4/5 and 5/5, between 0.8 and 1 ml
On a number line, what is the distance between 5 and -2?
Answer:
7
Step-by-step explanation:
to get to -2 to 5 you must move up 7 spota
Answer:
7
Step-by-step explanation:
The distance between 5 and 0 is 5 units. And the distance between -2 and 0 is 2 units thus the distance between -2 and 5 is 7.
Meg wanted to split up her left over food into containers. She had 6 plates of food and wanted to split it into containers that held about 1 a plate each. How many containers did she need?
Answer:
she needs 6 containers
Answer:
6 containers
Step-by-step explanation:
Unless there's more to the question, it's 6.
If you have 6 plates, and each container fits 1 plate, you'd need 6 containers to hold all the food