Answer:
step below
Step-by-step explanation:
sum of any 2 sides of triangle > third side
AB + BS > AS (1)
CA + CS > AS (2)
AB + (BS + CS) + CA > 2 AS (1)+(2)
AB+BC+CA > 2AS
BRIDGE CONSTRUCTION
Your team is working for the transport authorities of a certain city. You have to
analyze two construction projects for a new bridge over the river in said city. The
spacing between the bridge supports needs to be 1050 feet and the height at the center of the arch
350 cakes. One company has suggested that the structure be in the shape of a parabola; other
company suggests a semi-ellipse. The engineering team will determine the relative resistances of
the two projects; your job is to find if there is any difference in the widths of the
channel.
An empty oil tanker needs a clearance of 280 feet to pass under the bridge.
You must find the width of the channel in each of the proposals.
1. To determine the equation of a parabola with these characteristics, first place the
parabola on coordinate axes in a convenient position and draw it.
2. What is the equation of the parabola? (If you use decimal point in the equation, approximate to
six decimal places. If you use fractions, your answer will be more exact.)
3. If the shape of the satellite dish supports, how wide will the channel it will pass through
the oil tanker?
4. To determine the equation of a semi-ellipse with these characteristics, place the
semi-ellipse on coordinate axes in a convenient position and draw it.
5. What is the equation of the ellipse? How wide will the canal need to be for the
Petroleum ship?
6. Now that you know which of the two alternatives provides the widest channel, consider other
factors. His department is also in charge of verifying the depth of the channel, the
amount of river traffic and other details. For example, if there was a flood in the river and
the water level will rise 10 feet, how would free space be affected? Take a decision
about which project you think would be best as far as your department is concerned and
explain your decision.
Answer:
I'll answer your questions if you answer my questions.
Step-by-step explanation:
The height of a sunflower increases from 160cm to 2 metres in a week. Find the percentage increase in height
Answer:
25%
Step-by-step explanation:
We are given that
Initial height of sunflower=160 cm
After increasing
Final height of sunflower=2m
We have to find the percentage increase in height.
1 m=100 cm
[tex]2m=2\times 100=200cm[/tex]
Increase in height of sunflower=Final height of sunflower-initial height of sunflower
Increase in height of sunflower=200-160=40cm
Percentage increase=[tex]\frac{Increase\;value}{Initial\;value}\times 100[/tex]
Using the formula
Percentage increase in height=[tex]\frac{40}{160}\times 100[/tex]
Percentage increase in height=25%
Bobbie Jean Byrd deposited $900 in a savings plan with her credit union. The credit union savings plan pays 6% interest compounded quarterly. If she makes no other deposits or withdrawals, how much interest will her money earn in 2 1/2 years?
Answer:
30/3 = 10
900 x 0.06 = 54
10 x 54 = 540
900 + 540 = 1440
answer prob: 1440
Based on the amount that Bobbie Byrd deposited and the interest rate as well as the period of compounding, her interest earned in 2.5 years is $144.49.
The amount is compounded quarterly so we need to convert the interest rate and the period to a quarterly basis:
6% = 6/4 quarters = 1.5%
Period = 2.5 x 4 quarters = 10 quarters
The amount after 2.5 years is:
= Amount x (1 + rate) ^ number of periods
= 900 x ( 1 + 1.5%)¹⁰
= $1,044.49
Interest is:
= Total amount after 2.5 years - Amount deposited
= 1,044.49 - 900
= $144.49
Find out more at https://brainly.com/question/24119152.
The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m, where m is the number of months after the number of visitors was measured. Evaluate the expression for m=-2. What does the value of the expression represent in the situation?
Answer:
[tex]900\times 3^m[/tex] = 100
Step-by-step explanation:
The number of visitors is modeled by the expression [tex]900\times 3^m[/tex]
Where m is the number of months after the number of visitors was measured.
We need to evaluate the above expression for m = -2.
So,
[tex]900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100[/tex]
At m = -2, the value of the above expression is equal to 100.
Find x . Giving Brainly!
Answer:
x should equal 1
Step-by-step explanation:
If the quadratic equation x2 + 6x - 7 = 0 is rewritten in the form (x - p)2 = q , what is the value of q?
Answer:
q=16
Step-by-step explanation:
here ya goooooooojgjfjdhdf
A meal has 756 calories in 6 servings. Find the unit rate.
Answer:
126 calories per servings
Step-by-step explanation:
756/6=126
help me out plzzzz 6th grade stuff
Answer:
b c a
Step-by-step explanation:
I think its been years
Answer:
11. to c
12. to b
13 to a
....................
PLEASE HELP ME !!!!
Answer:
y = 17/2
Step-by-step explanation:
7y − 4 = 9y + 13 − 4y
Simplify both sides of the equation.
7y - 4 = 5y + 13
Subtract 5y from both sides.
2y - 4 = 13
Add 4 to both sides.
2y = 17
Divide both sides by 2.
y = 17/2
I hope this helps! Feel free to ask any questions!
Jackie's commute is 15 minutes longer than Laura's. If Laura drives 12 minutes for every 17 minutes Jackie drives what are both Jackie's and Laura's drives?
Answer:
Laura drives for [tex]36\ \text{minutes}[/tex] while Jackie drives for [tex]51\ \text{minutes}[/tex]
Step-by-step explanation:
Laura's commute is [tex]x\ \text{minutes}[/tex]
Jackie's commute is
[tex]x+15[/tex]
Laura drives 12 minutes for every 17 minutes Jackie drives so
For every minutes Laura drives Jackie drives [tex]\dfrac{17}{12}\ \text{minutes}[/tex]
So,
[tex]\dfrac{17}{12}=\dfrac{x+15}{x}\\\Rightarrow 17x=12x+180\\\Rightarrow 5x=180\\\Rightarrow x=\dfrac{180}{5}\\\Rightarrow x=36\ \text{minutes}[/tex]
Hence, Laura drives for [tex]36\ \text{minutes}[/tex] while Jackie drives for [tex]36+15=51\ \text{minutes}[/tex].
Will give brainliest please help
Answer: straight line is the answer hope this helps!!
Step-by-step explanation:
what sign can i use for division
One angle of a triangle measures 94°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is ______ = 180.
The congruent angles each measure _____
°.
Answer:
43 is the answer
Step-by-step explanation:
i just added till i got it
URGENT!!!
Which of the following equations could represent a town with an initial population of 875 people and an annual growth rate of approximately 2%?
A. y = 875 ⋅ x1.02
B. y = 875 (1.02)x
C. y = 875(2)x
D. y = 875 • 1.02x
Answer:
B
Step-by-step explanation:
1+0.02=1.02
875(1.02)^x
The equation is y = 875 (1.02)ˣ represents a town with an initial population of 875 people and an annual growth rate of approximately 2%. which is the correct answer would be an option (B).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
Initial population = 875 people
Growth rate = 2%
The growth rate is the base of the exponent instead of the initial population.
As per the given situation, the required equation would be as:
y = 875 (1 + 2%)ˣ
y = 875 (1 + 0.02)ˣ
y = 875 (1.02)ˣ
In this equation, x represents the number of years after the initial population of 875 people.
Hence, the correct answer would be option (B).
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ2
Please help.
Is algebra.
At Crescent High School, 96 students plan on going to an in-state college and 56 students plan on going to an out-of-state college. What is the ratio of students planning on going to an in-state college to students planning on going to an out-of-state college
Answer:
7/12
Step-by-step explanation:
Answer:
12:7
Step-by-step explanation:
You will get this first:
96:56
Now, divide both sides by 2
48:28
Divide by 2 again
24:14
Divide by 2
12:7
plz explain how to do this
Answer:
-40[tex]\leq[/tex]x
Step-by-step explanation:
Solve the inequality using the properties of equality.
First, add 60 to both sides
-440[tex]\leq[/tex]11x
Then, divide both sides by 11
-40[tex]\leq[/tex]x
So, -40 must be less than or equal to x.
Find the measure of segment WC if YW = 4.4 in., and YC = 7 in.
Answer:
WC = 2.6in
Step-by-step explanation:
If YW = 4.4 in, and YC = 7 in.
And YW + WC = YC.
WC = YC - YW
WC = 7in - 4.4in
WC = 2.6in
in a group of 20 people 7 own a dog 4 own a cat 12 do not own a dog or a cat complete the venn diagram to show this diagram
(17, -13), (17, 8)
What is the slope through the line
Answer:
undefined
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8 - -13)/ ( 17-17)
= ( 8 +13)/ ( 17-17)
= 21/ 0
We can not divide by 0, so the slope is undefined
Answer:
Undefined slope:- the line is vertical
Step-by-step explanation:
The slope for the line joining the points (x1, y1) and (x2, y2)
= (y2-y1)/(x2-x1) so here it is:
(8 - (-13))/ (17-17)
= 21/0
As the denominator is zero the line is vertical.
39.54 divided by 3 please.
Answer: 13.18
Step-by-step explanation:
Answer: 13.18
Step-by-step explanation: But if rounded to the nearest tenth its 13.2
hope that helped
105 push ups in 3 minutes . find the unit rate and how many in five minutes
Step-by-step explanation:
105/3 = 35 push ups per minute
35 x 5 = 175 push ups in 5 minutes
Answer:
Unit Rate: 35 Number of Pushups in five minutes: 175
Step-by-step explanation:
In order to find the unit rate, divide 105 by 3. You'll get 35. So the Unit Rate is 35.
Now, in order to find out how many pushups in five minutes, simply multiply 35 by 5. You'll get 175 pushups in five minutes. So the number of pushups in five minutes is 175.
Manny makes dinner using 1 box of pasta and 1jar of sauce .If pasta is sold in oackage if 6 boxes and sauce is sold in in packages of 3 jjara what is the least number of dinners that manny can make without any supplies leftover
Answer:
The least number of dinners that manny can make without any supplies leftover is 6 dinners
Step-by-step explanation:
Dinner = 1 box of pasta + 1jar of sauce
pasta is sold in package of 6 boxes
sauce is sold in in packages of 3
jars
what is the least number of dinners that manny can make without any supplies leftover?
Find the lowest common multiple of 6 boxes and 3 jars
6 boxes = 6, 12, 18, 24, 30, 36, 42,48
3 jars = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
The lowest common multiple of 6 boxes and 3 jars = 6
The least number of dinners that manny can make without any supplies leftover is 6 dinners
Using:
Pasta = 6 dinners / 6 boxes
= 1 package
Pasta = 1 package
Sauce = 6 dinners / 3 jars
= 2 package
Sauce = 2 package
Tyrel measured the average monthly temperature in degrees Fahrenheit for several months. If February is set to equal to 2 and June is equal to 6, what function best models these data from February to June?
Answer:
F(x)=13x-12
Step-by-step explanation:
Function which best models the data measure by Tyrel from February to June for the average monthly temperature is,
[tex]f(x)=11x+1[/tex]
How to model the data from graph?Graph is a way to represent the data of the two or more variable. The linear or quadratic function, can be model with the data given in graph.
Linear model- The highest power of unknown variable in linear model is 1.To construct the linear model with the values given in the graph, the slope of the two lines should be equal.Quadratic model- The highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of quadratic equation must satisfy for all the of the data table.Here, in the problem, Tyrel measured the average monthly temperature in degrees Fahrenheit for several months.
February is set to equal to 2 and June is equal to 6. The image for the average monthly temperature for the given problem is attached below.
Thus, the value of march should be, 3 and temperature of is near to 40 F⁰.This input and output value, can obtaind by the 2 nd option which is,
[tex]f(x)=11x+1[/tex]
Thus, the function which best models the data measure by Tyrel from February to June for the average monthly temperature is,
[tex]f(x)=11x+1[/tex]
Learn more about the model a graph here;
https://brainly.com/question/25020119
y= -2x-2, -2x+4y=12 please help i'll give 100 points.
solve it in substitution
Answer:
x = -2 and y= 2
Step-by-step explanation:
y=-2x-2 and -2x+4y=12
Substitute: -2x+4(-2x-2)=12
Distribute: -2x-8x-8=12
Combine like terms: -10x-8=12
Simplify: -10x=20
20/-10 = -2
Use that value to solve for y
y=-2x-2
Substitute x value: y=-2(-2)-2
Simplify: y=2
PLEASE HELP ASAP I AM GIVING 40 POINTS! just answer like this:
a:
b:
c:
Answer:
Step-by-step explanation:
(a) f(-4) = 7 - 8(-4) = 7 + 32 = 39
(b) f(0) = 7 - 8(0) = 7 - 0 = 7
(c) f(3) = 7 - 8(3) = 7 - 24 = 17
g = f에서 5 = g는 무엇입니까?
Answer:
임의의 변수로 풀기
g = 5
f = 5
Step-by-step explanation:
english: Solve in terms of the arbitrary variable
g=5
f=5
한국에서이 질문을 한 선생님은 누구입니까?
49/5
into mixed fraction
will mark you brainliest and will give you 14 points(this is for my younger sister's exams so please give her an answer) please tell her how to do it with an explanation
Mark point C at (3, 3), point D at (-5, 3), point E at (-5, 1), and point F at (-1, -2). How many steps do you need to take to walk the path
Answer:the answer is 23 steps
Answer:
23 steps
Step-by-step explanation:
3/4x + 2x - 3= -1/4 + 21
x = 95/11 lmk if it’s wrong.