Engineers are planning a new bridge to cross a small river. Surveyors created the diagram to show where the bridge would cross the river. What is the distance across the river where the new bridge will be built?
Answers
Answer:
56.25 feetStep-by-step explanation:
As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the
Let the distance across the river be x.
The ratio of corresponding sides is same. Find x using ratios:
x/45 = 75/60x = 45*75/60x = 56.25 feet
Answer:
56.25
Step-by-step explanation:
I took the quiz.
Related Questions
A baseball diamond is 90 feet square (NOT 90 square feet!). Coach Jack Handley runs from first base to second base at 25 feet per second. How fast is he moving away from home plate when he is 30 feet from first base (Problem #3)? How fast is he moving away from home plate when he is 45 feet from first base (Problem #4)? Answers should be expressed in terms of feet per second.
Answers
Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
2.5 gal/min=____ quart/hour
Answers
Answer: 600
Step-by-step explanation:
10x^3+34x^2+20x
Factor the trinomial
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[tex]2x*(5x^{2} +17+10)[/tex] is the answer I think
PLS ANSWER BOTH PARTS FOR BRAINLIEST ANSWER !!
Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to epresent the relationship between p, Chelsea's average
pace last month, and n, Chelsea's new average pace.
Last month, Chelsea ran at an average pace of 7.5 minutes per mile. On average, how long, in minutes,
does it take Chelsea to run one mile this month?
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A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?
Answers
what is 8 - 7 1/4 i need the answer fast
Answers
Answer:
3/4
Step-by-step explanation:
Can someone put this into slope intercept form?
4x + y *insert greater than or equal to sign here* 2
i’ll give brainliest to first person with an actual answer
(20 point question)
Answers
Answer:
y>=-4x+2
Step-by-step explanation:
Answer:
Greater than 2
Step-by-step explanation:
Have trust
how do you write a linear equation when given a graph or table? and how do you analyze key features of a function when given its graph?
Answers
Next, you want to find the y intercept.
Look at the y value when x is 0. If the y is -2 when x=0, then b=-2.
When given its graph, find a y value when x is 0. If the y is 4 when x=0 then b=4
please help thanks in advance
Answers
Answer:
43.25
Step-by-step explanation:
Since sides DF and FE are congruent, their opposite angles D and E are also congruent.
m<D + m<E + m<F = 180
x + x + 93.5 = 180
2x = 86.5
x = 43.25
Answer: 43.25
Pls can any one help me with question two pls
Someone kind answered question one for me soo can u pls answer question two for me plssss
Answers
Answer:
b is the correct answer
Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.
How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?
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Answer:
78 minutes
Step-by-step explanation:
72/12=6
6*13=78
I need help with this last question I have here
Answers
Answer:
its d
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.
I need help with this homework
Answers
y -1 1 3 5 7 9
Hope this helps
in the expression 15- the sum of 6 and. 7 do you add or subtract first
Answers
Answer:
Add
Step-by-step explanation:
By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:
[tex]15-(6+7)[/tex]
And parentheses always occur first.
Hope this helps!
In 2005 the population of a district was 35.700 with a continuous annual growth rate of approximately 4%, what will the population be in 2030 according to the exponential growth function? Round the answer to the nearest whole numberdo not include the unit in your answer.
Answers
Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
[tex]2030-2005=25[/tex]
Putting a=35,700, r=0.04 and t=25 in the above model.
[tex]y=35,700(1+0.04)^{25}[/tex]
[tex]y=35,700(1.04)^{25}[/tex]
[tex]y=35,700(2.665836)[/tex]
[tex]y=95170.3452[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 95,170[/tex]
Therefore, population of the district will be about 95,170.
Amount in 2030 is $95,169
Given that:
Amount invested = $35,700
Growth rate = 4% = 0.04
Time invested = 2030 - 2005
Time invested = 25 year
Find:
Amount in 2030
Computation:
A = P[1+r]ⁿ
Amount in 2030 = 35700[1+0.04]²⁵
Amount in 2030 = 35700[1.04]²⁵
Amount in 2030 = 35700[2.6658]
Amount in 2030 = $95,169
Learn more:
https://brainly.com/question/24132206?referrer=searchResults
Need help with this!!!
Answers
Answer:
I'm gonna say 4 because 6 divided by 3 is 2
1620, 540, 180, 60, 20,...
Find common ratio.
Answers
Answer:
multiplying by 3
Step-by-step explanation:
20x3=60 60x3=80. and the rest is the same.
300/3x6
A,580
B.600
C601
D620
Answers
Answer:
B. 600
Step-by-step explanation:
300 / 3 = 100
100 x 6 = 600
please help I would really Appreciate it so much
Answers
Answer:
I think it is b
Step-by-step explanation:
it is 3a times all of the numbers in parenthases
hope you pass your test
HAPPY NEW YEAR
Answer:
the answer is 15a+12ac+6ab
Step-by-step explanation:
3a(5+4c+2b)
(3a)(5+4c+2b)
(3a)(5)+(3a)(4c)+(3a)(2b)
15a+12ac+6ab
6ab+12ac+15a
hope this helps!
A boy is shopping at a sports store. He has $11 with which he wants to buy a t-shirt and some tennis
balls. The cost of the t-shirt is $5, and a can of tennis balls cost $2. Which number line represents the
number of cans of tennis balls he can buy?
Answers
Answer 3 cans of tennis balls unless there is tax
Step-by-step explanation:
Answer:
He can buy 3 cans of tennis balls sorry my brain is jacked today, so I am sorry if this is not enough
Step-by-step explanation:
5x +12=27
Solving a 2-step equation
Answers
Answer:
x = 3
Work below
Step-by-step explanation:
5x + 12 = 27
-12. -12
5x = 15
/5 /5
x = 3
Hope this helps!!
Answer:
3
Step-by-step explanation:
5x+12=27
subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3
Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?
Answers
Answer:
Keith: 15, Carlos: 30, Yolanda: 23
Step-by-step explanation:
Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.
x+(x+8)+2x=68
4x+8=68
4x=60
x=15
x represents how much money Keith has.
So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.
40 POINTS PLEASE HELPPPPPPP ME !
Answers
Answer:
75/100
=15/20
3/4
The probability is3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Hope this helped have an amazing day!
What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power
Answers
Answer:
3
Step-by-step explanation:
multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents
(sq rt 3)^2 = 3
add exponents and power of 1
Help I will make you a brainlist!!
What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
slope is m, so m=2
y-intercept is b, so b= -3
============================================================
Given:-
Slope of the line -> 2Line's y-intercept -> -3To find:-
Equation of the lineRemember, slope-intercept form looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
Where
m stands for the slope
b stands for the y-intercept
in this case, m -> 2, and b-> -3
Plug in the values:-
[tex]\bigstar{\boxed{y=2x-3}[/tex]
=========================================================
note:-Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
I WILL GIVE BRAINLIEST! (Function Composition Application)
Answers
Answer:
N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)
N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95
N(T(t)) = 24(43)² - 112(43) + 95
N(T(t)) = 39 655
answe for 2nd coloumn
(5, 39655)
answer for 3rd coloumn
5 hours
answer for 4th col is
39,655 bacteria
a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages
Answers
Let's assume the sons age as x.
Age of the man is 2x
Five years ago,
The man's age=9x
The sons age=4x
Then find the equation.
hope it was helpful.
I am not solving all cuz that u understand how to frame a equation.
Find the midpoint of the hypotenuse.
Answers
Bend be be K’s or if if so
please help and give details!!
Answers
Answer:
The answer is A.
Step by step explanation
x²-1
Where
Roots (-1,0) (1,0)
Domain x€R
Range f(x)€ [-1,+infinity]
Minimum (0,-1)
Vertical intercept (0,-1)
What would the perimeter of a triangle be if the side lengths were 5x+2, 3x-5, and x+10
Answers
9x + 7