Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
The area of the parallelogram is 315 square units. What is the height of the parallelogram?
Answer:
h = 15 units
Step-by-step explanation:
A = bh
315 = 21h
h = 315/21
h = 15
Answer:
15 sq. units
Step-by-step explanation:
The Intuition for why the area of a parallelogram is A=bh (area = base x height)
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Have a great day!
What is the total surface area of the
triangular prism?
2.8 m
2.8 m
2 m
4 m
4 m
Answer:
2 m.....that's it
try it
Definition: This is the rate of distance traveled per unit of time, without regard to direction.
Example: 55 miles per hour on the highway
es )
Term: Type term here
Answer:
A graphic representation of velocity. Also used to represent speed. This is the rate of distance traveled per unit of time, without regard to direction. ... The slope of the line tells us the rate of change in velocity.
Step-by-step explanation:
Simplify: 3 5 power x 3-2power
Answer:
3 to the power of 5 is 243 and 3 to the power of 2 is 9 and
243 x 9 is 2187
Step-by-step explanation:
a basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?
Answer:
3 : 1
Step-by-step explanation:
120-90=30
90 mangoes
30 apples
90 : 30 divide both by 10
9 : 3 divide both by 3
3 : 1
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression that represents the total cost a Frank's DVDs
10d + 5.50 = x (the total cost)
Which are corresponding angles
Answer:
oposite to its angle when they are parallel
Anyone know the answer?
what is the missing angle
Answer:
x=59deg
Step-by-step explanation:
We will use tangent to find the angle because we do not know the length of the hypotenuse.
Tan(x)=opp/adj
Tan(x)=30/18
Tan(x)~59
So the last option is correct. 59deg
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
More about the Differentiation link is given below.
https://brainly.com/question/24062595
What is the total area? Use 3 for Pi.
answer fast pls!!! <3
Answer:
total area = 217 m³
Step-by-step explanation:
area of the triangle
= 14 × 10
= 140 m²
area of a semicircle
= 1/2 × 22/7 × 7 × 7
= 77 m²
total area
= 140 + 77
= 217 m³
What is the present value of the following set of cash flows if the discount rate is 13.8%? (the cash flows occur at the end of each period) (round answer to nearest penny and enter in the following format 12345.67)
Year 0 cash flow = -3200 (a negative cash flow)
Year 1 cash flow = 900
Year 2 cash flow = 1000
Year 3 cash flow = 1500
Year 4 cash flow = 1900
Answer:
"flow" (and any subsequent words) was ignored because we limit queries to 32 words.
It looks like there aren't many great matches for your search
Tip Try using words
a cube has a lateral surface area of 64sq m find the total surface area of the cube
Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
The measure of Angle D is
degrees.
O=41 degrees
Answer:
49°
Step-by-step explanation:
O=41° and G=90° (because it is a right angle). The sum of the interior angles of a triangle is 180°. So, add the known angles, 41°+90°=131°. Since the sum of all three angles needs to be 180°, subtract the known angles from the total, 180°-131°=49°, to find the unknown angle.
The angle D in triangle OGD measures 49 degrees.
To find the measure of angle D in triangle OGD, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Given that angle O is 41 degrees and angle G is 90 degrees, we can substitute these values into the equation:
Angle O + Angle G + Angle D = 180
41 + 90 + Angle D = 180
131 + Angle D = 180
Now, we can solve for angle D by subtracting 131 from both sides:
Angle D = 180 - 131
Angle D = 49
Therefore, angle D in triangle OGD measures 49 degrees.
To know more about triangle:
https://brainly.com/question/2773823
#SPJ6
Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink
Answer:
The percent she has left in the drink is 75%
Step-by-step explanation:
1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.
For Sunday's brunch, Alexis is making a recipe that requires 8 cups of milk. She has 3 quarts of milk. Does she have enough for the recipe? Explain using numbers and words. Please make sure to use complete sentences. Please help it’s a test
Answer:
yes
Step-by-step explanation:
she needs 8 cups and 3 quarts is 12 cups
Terry goes to the store to buy a shirt. The original price is $32. The shirt is
marked down 20%. When he gets to the check-out stand, he learns that
everything in the store is another 10% off of the marked down price. Which
dollar amount below is closest to the amount Terry paid for the shirt?
Answer:
The closest amount paid is $23
Step-by-step explanation:
Given
[tex]Price = \$32[/tex]
[tex]Mark\ down = 20\%[/tex]
Amount = 10% of Marked down price
Required
Determine the amount paid
First, we calculate the marked down price P2:
[tex]P_2 = Price(1 - Mark\ down)[/tex]
Substitute values for Price and Mark down
[tex]P_2 = \$32 * (1 - 20\%)[/tex]
Express percentage as decimal
[tex]P_2 = \$32 * (1 - 0.20)[/tex]
[tex]P_2 = \$32 * (0.80)[/tex]
Remove bracket
[tex]P_2 = \$32 * 0.80[/tex]
[tex]P_2 = \$25.6[/tex]
The payable amount is 10% off the marked down price,
This is calculated as:
[tex]Amount = P_2 - P_2 * 10\%[/tex]
Substitute $25.6 for P2
[tex]Amount = \$25.6 - \$25.6* 10\%[/tex]
Express percentage as decimal
[tex]Amount = \$25.6 - \$25.6* 0.10[/tex]
[tex]Amount = \$25.6 - \$2.56[/tex]
[tex]Amount = \$23.04[/tex]
The closest amount paid is $23
can someone complete it all
Answer:
Here it is
Step-by-step explanation:
#1. 3:4
#2. 3 to 4
#3. 3/4
Your answer
د لمانية
2
w
Is the answer 2?
Answer:
yes 2 is the answer yes yes yes yes
What is the value of the digit 8 in the number 14.812?
Answer:
the tenth or 0.1
150 copies will cost $15.00. How many copies can be made for $6.00?
Answer:
60 copies
Step-by-step explanation:
$15/150 = 0.1 each copy costs 1 cent
$6/$0.1 = 60 copies
Answer:
60 copies
Step-by-step explanation:
After using Unitary Method, We find that one copy costs 0.1 dollar. So divide 6.00 dollars by 0.1 and we find 60
For checking, we can multiply 60 by 0.1 and we get the same answer
please help with these math problems +25 points
Answer:
So basically, if it is under 1/2, its unlikely to occur, and if it is 1/2 or greater, it is likely.
Step-by-step explanation:
a is unlikely
b is unlikely
c is likely
d is unlikely
e is likely
f is unlikely
Write
13/8
as a mixed number,
Answer:
1 5/8
Step-by-step explanation:
Answer:
1 and 5/8
Step-by-step explanation:
hdhdbfhfhfvvfvfvfhd
A club is going to raise money by printing calendars with photos of the community. The cost of printing the calendars is $5.50 per calendar. The photographer also charges a one-time cost of $200 for taking the photos. The club has $1500 to cover the initial costs of the calendar. Create an equation that represents the number of calendars the club can print. Use the variable n for the number of calendars
Answer:
[tex]n = \frac{1300}{5.50}[/tex]
[tex]n = 236[/tex]
Step-by-step explanation:
Given
The cost of printing one calendars [tex]= 5.5[/tex] dollars
The one time charge of taking photo [tex]= 200[/tex] dollars
The total sum of money with the club [tex]= 1500[/tex] dollars
The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars
The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to
[tex]n = \frac{1300}{5.50}[/tex]
[tex]n = 236[/tex]
use the information in the diagram to determine the height of the tree. the diagram is not to scale.
Answer:
seventy five ft
Step-by-step explanation:
Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2
Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )
Answer:
y=2x+3
Step-by-step explanation:
the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
your answer is k=10 the step by step is kn the picture
On Sunday, Antonio spent total of 3/1/4 hours driving and 1/3/4 hours gardening. How much longer did he spend driving write your answer as a mixed number.
Answer:
poopjdjdjdjdndiddnr ddjdididndndnddndndjx
Step-by-step explanation:
poop kdfkdkddkejdfjdidjs didneidndzusnxixdn
1 1/2 hours
Time spent by Antonio in driving = 3 1/4 = 13/4
Time spent in gardening = 1 3/4 = 7/4
In order to find how much he spend driving than gardening, we can subtract 13/4 and 7/4.
13/4 - 7/4
Te denominator is same. So, we can directly subtract the numerators.
13-7/4
=6/4
= 3/2 = 1 1/2
Therefore, Antonio spent 1 1/2 hours more in driving than gardening.