Answer:
The area that is surrounded by the highway on the billboard is approximately 89.34 square meters
Step-by-step explanation:
The given parameters are;
The length of the circle shaped highway = 251.2 km
The scale of the map of the bus routes along the highway = 1:7,500
The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle
Therefore, we have;
The circumference of the highway = The length of the circle shaped highway = 251.2 km
The circumference of the highway, C = 251.2 km = 2·π·r
The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km
The area of a circle, A = π·r².
The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²
Given that the scale of the map = 1:7,500. we have;
The scale of the area = (1:7,500)² = (1:56,250,000)
The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²
Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²
3x 2+ 4x - 20
using grouping or an area model.
Answer:
Is the 3x a power of 2, once I get that info I'll edit my answer
Step-by-step explanation:
The neighbors have $18.57 to spend on strawberry plants. A 6-pack of plants costs $2. How many packs can they buy?
Answer:
9
Step-by-step explanation:
the answer is 9 because 18 $÷2 = 9
Answer:
9 packs
Step-by-step explanation:
18.57/2=9.285
Can't buy 1.285 one so we go back to 9 which is buyable with the money there is.
Find the Volume of the shape below.
4 ft
2 ft
2 ft
Answer:
16 ft³
Step-by-step explanation:
4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³
A company hauls its 1 cubic foot boxes in the truck as shown.
How many boxes can this truck carry?
Answer:
96
Step-by-step explanation:
3*4*8=96
Answer:
96
Step-by-step explanation:
A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show
your work!
I need help plssss
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
Please help meeeeeee!!!!! ill give BRAINLIEST
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
Find the area of the shaded region. Round your answer to the nearest tenth if needed.
The function y = -16t+^2 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer:
The water droplet will hit the ground 1.58 seconds after it started falling.
Step-by-step explanation:
The function:
y = -16*t^2 + 40
represents the height of a water droplet t seconds after falling from an icicle.
We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.
Then we only need to solve the equation:
0 = y = -16*t^2 + 40
0 = -16*t^2 + 40
16*t^2 = 40
t^2 = 40/16
t = √(40/16) = 1.58
The water droplet will hit the ground 1.58 seconds after it started falling.
What is the point-slope of y+5=-7/4(x-4)
Slope: -7/4
Point/y-intercept: (0,2)
HELP!
If the radius of the large pizza is 8 inches, what is its area in square inches?
Answer:
about 200 square inches
In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°
Answer:
B 54.5°
Step-by-step explanation:
Since we have a triangle,
CAB + ABC + BCA = 180 (sum of angles in a triangle)
Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have
80° + 45.5° + BCA = 180°
simplifying, we have
125.5° + BCA = 180°
collecting like terms, we have
BCA = 180° - 125.5°
BCA = 54.5°
So, the answer is B
The model represents 3 ÷ 1/5
Which multiplication can you use to check the answer?
Three squares are shown. Each square is divided into 5 fifths.
A. 3 x 1/5= 3/5
B. 15 x 1/5 = 3
C. 15 x 3/5 = 9
D. 15 x 5/3 =25
Answer:
the answer is 2
Step-by-step explanation:
The equation which represent the three squares which is divided into the 5 fifths is,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
What is a multiple of fraction?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
A multiple of a fraction is the number which is n times of the original function.
The model represents,
[tex]3 \div 1/5[/tex]
Here, the total number of square are given is 3. These three square are then divided into the one fifth.
Thus, we get total 3 times of 5 one fifth which is equal to the entire 3 squares
.
Thus, the equation can be written for this condition as,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
Hence, the equation which represent the three squares which is divided into the 5 fifths is,
[tex]15 \times \dfrac{1}{5} = 3[/tex]
Option B is the correct option.
Learn more about the multiple of fraction here;
https://brainly.com/question/9281754
HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?
Answer:
P
K
P
K
P
K
Step-by-step explanation:
If it's not moving, it's potential energy
If it's moving, it's kinetic energy
if the diameter of the semicircle is 6 in fid the area in terms of pi?
Answer:
i think the is 14.13.
Step-by-step explanation:
Write these numbers in order of size.
Start with the smallest number.
9
-3
2.
-2
Smallest
Answer:
smallest -3,-2,2,9 biggest
Answer:
-3, -2, 2, 9
Step-by-step explanation:
-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9
WILL GIVE BRAINLIEST
Answer:
he right
Step-by-step explanation:
A cinema screens two different short films at two separate rooms at regular intervals throughout the day. The first film lasts for $$50 minutes, while the second film lasts for $$30 minutes. There are $$10-minute breaks between the screening of a film in each room. If the cinema starts screening both films at $$2:45 pm when it opens for the day, what is the next time that both films will start screening at the same time?
Answer:
4: 45pm
Step-by-step explanation:
First Film = 50 minutes
Second Film = 30 minutes
Cinema start screening time = 2:45 pm
- Both Film start screening
At 3: 15 pm
- Second film ends
- First film is till screening ( 20 minutes left)
- Break Commences
3: 25
- First film is till screening ( 10 minutes left)
- Break Ends
- Second film starts screening
3 : 35 pm
- First film ends
- Break Commences
- Second film is till screening ( 20 minutes left)
3 : 45
- Second film is till screening ( 10 minutes left)
- Break Ends
- First film starts screening
3 : 55 pm
- Second film ends
- First film is till screening ( 40 minutes left)
- Break Commences
4 : 05 pm
- Break Ends
- First Film is till screening ( 30 minutes left)
- Second film starts screening
4: 35 pm
- Both Film ends
- Break Commences
4: 45pm
- Break Ends
- Both Films start screening
Which of the following expressions is equivalent to 8.8.8.8.8.8?
Answer:
8^6
Step-by-step explanation:
This just means that 8 is being multiplied by itself 6 times
Evaluate f(a+4)
pls help me w this !
Neptune is 4.5 billion kilometers from the
sun. Represent this number in scientific
notation
Answer:
4.5 x 10 ^9
Step-by-step explanation:
Answer:
4.5*10^9
Step-by-step explanation:
3x+30=180 degrees, what is the value of the letter x in this problem?
Answer:
50
Step-by-step explanation:
180-30=150/3=50
3x + 30 = 180
-30 -30 subtract 30 on both sides, solve for 180 - 30 which is 150.
___________
3x = 150
__ ___ divide 3 on both sides, solve for 150 ÷ 3 which is 50.
3 3
x = 50, final answer
hope this helps! :)
Find the value of X.
Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry
HELP ME WITH THIS PLEASE!!!
Answer:
The vertex is (4,-3)
Step-by-step explanation:
P.S. you got the 2nd last one wrong.
When x>4 y increases as x increases
Sierra conducted an experiment. She drew a color tile from a bag, recorded the results, and return the tile to the bag. Out of 100 trials she randomly drew a blue tile 46 times, a red tile 38 times, and a green tile 16 times. What is the experimental probability of drawing a red tile?
Option 1: 4/25
Option 2: 23/50
Option 3: 19/50
Option 4: 16/100
Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------
Answer:
Super Man
Have a great day!
If k(x) = x2 and p(x) = k(x) + n, what is the value of n?
Answer: Value of n is -6
Step-by-step explanation:
If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can start by substituting the function k(x) into the expression for p(x):
p(x) = k(x) + n
p(x) = x^2 + n
We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:
p(2) = 2² + n = 4 + n = 5
n = 5 - 4
n = 1
Therefore,
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
Learn more about expressions here:
https://brainly.com/question/3118662
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how would u turn 11/25 into a decimal?
Answer:
you divide 11 by 25 and then round to the nearest hundredth
Step-by-step explanation:
11÷25= 0.44
1. Choose the statement that describes the value of the square root of 24.
The value is between 4 and 4.5
The value is between 4.5 and 5
The value is between 5 and 5.5
The value is between 5.5 and 6
Answer:
4.5 and 5
Step-by-step explanation:
The √24 is 4.89879
to one decimal place is 4.9
Approximately 5
An apple has a mass of 32.06 grams. What is the mass of the apple rounded to the nearest tenth of a gram?
32.1
Hope this helps! Have a nice life!