Answer:
4degrees
Step-by-step explanation:
Given the following
Height of the airplane = 37000feet
distance covered on landing = 100miles = 100(5280)
distance covered on landing = 528,000feet
Using the SOH CAH TOA
sin theta = opposite/hyp
sin theta = 37000/528000
sin theta = 37/528
theta = arcsin (37/528)
theta = 4 degrees
Hence average angle at which the airplane must descend for landing is 4degrees
The temperature was recorded at the same time each day,
a)
Which temperature was the warmest?
b)
Which temperature was the coldest?
c)
How much colder was it on Thursday than on Saturday?
d)
On Sunday the temperature was 5°C lower than on Saturday.
What was the temperature on Sunday?
Answer:
a) The warmest temperature will be the one where the value of the temperature is the largest, in the table we can see that the largest temperature is 3°C on Saturday.
Then the largest temperature was on Saturday, and it was 3°C
b) Which temperature was the coldest?
Now we need to look at the smallest temperature (or the largest negative temperature). In the table we can see that the smallest temperature is -6°C on Friday.
Then the smallest temperature is -6°C.
c) On Thursday the temperature was -1°C
On Saturday the temperature was 3°C
The difference between the temperatures is:
-1°C - (3°C) = -4°C
This means that Thursday was -4°C colder than on Saturday.
d) On Sunday, the temperature was 5°C lower than on Saturday.
On Saturday the temperature was 3°C, then the temperature on Sunday is:
T = 3°C - 5°C = -2°C
The temperature on Sunday is -3°C.
PLEASE HELP ME!!!! 20 POINTS!!!!!!!
What is the correct expanded form and value of 4/5?
A. 4/5+4/5+4/5=12/5
B.4/5•4/5•4/5=64/125
C. 4+4+4+4/5=12/5.
D. 5/4•5/4•5/4=125/64
what is 656 ÷ 4
we need to know how to solve this equation.
Answer: 164
Step-by-step explanation: 656 /4
164
A country's budget had a surplus of $250 billion in the year 2000. in 2004 , the budget had $447 billion. fund the difference between these amounts
Answer: $197 Billion
Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!
A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of time to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table.
Answer:
140 minutes
Step-by-step explanation:
If it takes him 30 mins to plant three, then 30 divided into three equal groups is 10. Then we multiply 14 and 10 together since it takes Andre ten minutes to plant each sapling. This means that the 14 saplings takes ten minutes EACH to plant.
Answer: 140
Step-by-step explanation:
i got it right
5) A book is sold at $152.50 and a discount of 9% is given for students.
Find the cost of the book.
13
Answer:
$138.78
Step-by-step explanation:
152.50 decrease 9% =
152.50 × (1 - 9%) = 152.50 × (1 - 0.09) = 138.775
which inequality is the solution to 20+2
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
i’m confused on this- can someone help me?
Answer: great adventure theme park is more expensive
Step-by-step explanation:
Plz answer correctly
Answer:
B) -1,-4,-7,-10,........
The first five terms
-1,-4,-7,-10,........
Step-by-step explanation:
Explanation:-
Given that the explicit rule
[tex]a_{n} = -3n +2[/tex]
Put n=1
⇒ a₁ = -3(1) +2
a₁ = -1
Put n=2
⇒ a₂ = -3(2)+2
a₂ = -6+2
a₂ = -4
Put n=3
a₃ = -3(3)+2
a₃ = -9+2
a₃ = -7
Put n=4
a₄ = -3(4)+2
a₄ = -12+2
a₄ =-10
The first five terms
-1,-4,-7,-10,........
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65
Answer:
2
Step-by-step explanation:
bc
Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
Find 9079 + 1232 + 9786.
Find the number that makes the ratio equivalent to 12:1.
?:6
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP BUT JUST PLEASE HELP ME
Answer: 50 miles
Step-by-step explanation:
Because 25 x 2 = 50
and 1 inch is 25 miles and 2 inches is then 50 miles
Answer:
C. 50 miles
Step-by-step explanation:
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
help plz
can someone simplify 3 to the power of 2 times 3 to the power of 3
Answer:
(9)(27) also 243
Step-by-step explanation:
So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243
Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a
hand sanitizer that is x% alcohol,
How many milliliters of water is in the resulting mixture of hand sanitizers?
Answer:
(370-2x)ml
Step-by-step explanation:
We are given that
In first hand sanitizer
Total solution=200ml
Alcohol=15% of 200ml
Alcohol=[tex]\frac{15}{100}\times 200=30ml[/tex]
In second hand sanitizer
Solution=200 ml
Alcohol=x% of 200 ml
Alcohol=[tex]\frac{x}{100}\times 200=2x ml[/tex]
We have to find the water in the resulting mixture of hand sanitizers.
Total solution of two hand sanitizers=200+200=400ml
Total alcohol in two hand sanitizers=(30+2x)ml
Water in two hand sanitizers=400-(30+2x) ml
Water in two hand sanitizers=400-30-2x ml
Water in two hand sanitizers=(370-2x)ml
Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml
Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
I really need to know theese and rhe rest plsss
Answer:
10.45?
Step-by-step explanation:
Answer:
5.05
Step-by-step explanation:
-2.7+7.75
2.7 is how much he descends so its negative
And 7.75 for how much he went up so its positive
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
Find out more on speed at: https://brainly.com/question/4931057
Which quadrants are (-4,5) in
Answer:
Quadrant 2
Step-by-step explanation:
Take a look at the picture I added it should help you on futures questions like this :)
What is the slope of a line that passes through the points. (-2, 3) and (4, -12)?
-3/2
-2/5
-5/2
-9/2
Answer:
5/2
Step-by-step explanation:
5/2
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
The ratio of their perimeters is 3:5
Answer:
That is statement is true
What is the remainder of 96÷7
Answer:
13 reminder 7.
Step-by-step explanation:
Describe the transformation below. Use words like translated, reflected, rotated, or dilated with a description.
Answer:
translated
Step-by-step explanation:
the shape slides to a new position, but nothing is changed size wise.
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)