Answer:
The distance from the helicopter to the further observer is:
d = 12.77 miles
Step-by-step explanation:
The observer with 19.5° of elevation will be denoted by 1
The observer with 31.2° of elevation will be denoted by 2.
Here we have two right triangles. Both of them have the same opposite sides, so will be useful to use the tangent function.
For the second observer:
[tex]tan(31.2)=\frac{h}{x}[/tex] (1)
Where:
h is the opposite sidex is the adjacent side (distance from the observer 2 to the point where the angle of elevation is 90° )For the first observer:
[tex]tan(19.5)=\frac{h}{5+x}[/tex] (2)
Where:
h is the opposite side5+x is the adjacent side (distance from the observer 1 to the 90° elevation point, 5 miles is the distance between observes )Let's find x from equations (1) and (2). Both of them have the variable "h" so we can equal these equations.
[tex]xtan(31.2)=(5+x)tan(19.5)[/tex]
[tex]x(tan(31.2)-tan(19.5))=5tan(19.5)[/tex]
[tex]x=\frac{5tan(19.5)}{tan(31.2)-tan(19.5)}[/tex]
[tex]x=7.04\: miles[/tex]
Now, if we use the right triangle with 19.5° of elevation, the hypotenuse will be the distance from the helicopter and the further observer (let's call d).
Let's use the cosine function to find d.
[tex]cos(19.5^{\cric})=\frac{5+x}{d}[/tex]
[tex]d=\frac{5+7.04}{cos(19.5^{\cric})}[/tex]
[tex]d=12.77\: miles[/tex]
I hope it helps you!
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
∠ G ≈ 8.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then
∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )
Help!! Thank you so much
Answer:
336 cm²
Step-by-step explanation:
rectangle area:
b×h = 24×7,5=180 cm²
" " = 6,5×24=156 cm²
total area: 180+156=336 cm²
The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7
Josh currently bench presses 150 lbs. He increases that amount by 20% . How much can he bench press now? *
Answer:
180
Step-by-step explanation:
100%-> 150
1%->1.5
120%-> 180
Escribe en lenguaje simbólico las siguientes expresiones, teniendo en cuenta que llamamos x a la edad de María. La edad que tenía María hace 3 años. El doble de la edad que tendrá María dentro de 10 años. La tercera parte de la edad que tenía María hace 1 año.
Answer:
i don't know that language sorry
Step-by-step explanation:
Please help me!! How do I do this?
Answer:
Taking 45 degree as reference angle
Then using sine rule
sin 45=
p/h
replacing the value of sin 45 degree by 1/root 2.so
1/root 2=9/c
doing cross multiplication
9*root 2=1*c
9 root 2 =c
therefore the value of c is 9 root 2
Step-by-step explanation:
To solve this system of equations by elimination you should begin by... x+y=10 2x-3y=6 A) adding the two equations together. B) multiplying the first equation by 2, then add them together. C)multiplying the first equation by 3, then add them together. D) subtracting the first equation from the second equation
Answer:
C. Multiply 1st equation by 3, then add together
Step-by-step explanation:
X+y=10
3(x+y)=3(10)multiply by 3
3x+3y=30 add to following equation
2x-3y=6
5x=36
a shipement of 14 microwave ovens contains six defective units A vending company has ordered 4 of these units and selection will be random, what is the probability that all 4 units are good
Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
So, His miles per hour is 3 miles.
Answer:Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
Hope this helps
what is the area of triangle EDF?
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
i want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.
Example, the degree of 4x^8 is 8.
So the degree of 5x^4 is 4.
The degree of 3x^2 is 2.
The degree of 1 is 0 since there is no variable in this expression.
So the degree of 5 x^4 + 3 x^2 + 1 is 4.
2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answer:
What?
Step-by-step explanation:
G8ve me more info and Ill answer again
Will mark brainliest!!
Identify the solid from its net
triangular prism
rectangular prism
triangular pyramid
rectangular prism
Answer:
triangular pyramid
Step-by-step explanation:
PLEASE HELP IM BEGGING U
Answer:
c
Step-by-step explanation:
The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.
Answer:
B 18.79
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which graph shows the line y = 4x - 2?
Answer:
Hi, there the answer is Graph A because the y-intercept and I did rise over run
Step-by-step explanation:
Hope this helps :)
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Work backward to solve.
What is the starting position (x, y)?
The point A(-6, 8) is reflected over the point (-7, 6) and its image is point B. What are the coordinates of point B?
Answer: The answer is (-8, 4)
Step-by-step explanation:
Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?
Answer:
21m/s
Step-by-step explanation:
The average rate of change is expressed as;
A(t) = f(b) - f(a)/b-a
a = 2, b = 6
f(2) = 2² + 13(2)
f(2) = 4 + 26
f(2) = 30
f(6) = 6² + 13(6)
f(6) = 36 + 78
f(6)= 114
b- a = 6-2
b-a = 4
Substitute;
A(t) = 114 - 30/4
A(t) = 84/4
A(t) = 21
Hence the average rateof change is 21m/s
In how many different
ways can 5 bicycles be
parked if there are 7
available parking
spaces?
pls pasagot
find the range of the data 52 40 49 48 62 54 44 58 and 39 range is what
Answer:
Hi! The answer to your question is the range is 23
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23
VOCAB:
Minumum Data = Smallest Number
Maximum Data = Largest Number
Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.
In statistics, the difference between the largest number and the smallest numbers in a data set.
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?
Answer:
3 * (½*2*5) = x
Step-by-step explanation:
Cost of carpeting = $3 per square foot
We have a triangular section to cover having the following dimensions:
base = 2 yd
height = 5 yd
First, let's find the area of the section = area of triangle
Area of triangle = ½*base*height
Area of the triangular section of the floor = ½*2*5
If $3 will cover 1 ft², therefore,
x will cover ½*2*5
Thus:
3 * (½*2*5) = x
A bottle of juice is divided between 3 friends. Jason gets 1 third of the juice, Joseph gets 1 fourth of the bottle and Siswe gets a 5 over 12 ( 5 is the numerator and 12 is the denominator). By comparing the fractions, calculate who will get the most juice
Answer:
Siswe
Step-by-step explanation:
[tex]\frac{1}{3} = \frac{4}{12}\\\\\frac{1}{4} = \frac{3}{12}\\\\\frac{5}{12} =\frac{5}{12}[/tex]
Answer:
siswe gets more juice
Step-by-step explanation:
i hope this helps
How would someone Algebraically determine X-Y intercepts?
Answer:
y-int: -6
x-int: -2/5 and 3
Step-by-step explanation:
you can find the y-intercept by substituting zero in for every 'x' in the equation;
y = 5(0) - 13(0) - 6
y = -6
to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:
(5x + 2)(x - 3)
now set each factor equal to zero and solve for 'x':
5x + 2 = 0
5x = -2
x = -2/5
x - 3 = 0
x = 3
-8k-3-2k+7 need help asap
Answer:
-8k-3-2k+7
-10k+4
how to simplify?
(look for like terms)
Building A is 490 feet tall and Building B is 754 feet tall. If the angle of depression from the top of Building B to the top of Building A is 46°, how far apart are the buildings?
Answer: [tex]254.94\ ft[/tex]
Step-by-step explanation:
Given
Building A is 490 feet tall and building B is 754 ft tall.
If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]
Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]
If the difference between them is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]
Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.
Which statement about rectangles and rhombuses is always true?
Answer:
B
Step-by-step explanation:
B...............................
mark me the brainliest plzzzzzzzz
The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.
What is a quadrilateral?A quadrilateral is a closed, two-dimensional shape which has four straight sides.
In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
Quadrilateral has four sides.
Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.
learn more on quadrilateral here: https://brainly.com/question/10388790
Question 4
1 pts
3. Aracelli has a class of kindergardeners. Each student gets a six oz cup of milk at
snack time. How many gallons of milk will she need to buy for a class of 23 students?
O 1.08 gallons
1.1 gallons
O 2 gallons
1 gallon
1 pts
Question 5
Answer:
There is a little over 1 gallon
Step-by-step explanation: