Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.
Answers
CHECK THE ATTACHED FIQURE FOR THE BRIDGE
Answer:
60 ft
Step-by-step explanation:
From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that
triangles ABC and EDC are congruent then we can say
side EC = side AC
3x + 9 = 5x - 5
Then we can simplify to know value of x
3x + 14= 5x
2x = 14
x = 7
But we know that AC= 5x - 5 , then substitute value of x into it
AC = 5x + 5 = 5(7) - 5
= 35 - 5
AC= 30 ft
Also EC= 3x + 9 then substitute value of x into it
EC = 3x + 9 = 3(7) + 9
= 21 + 9
EC= 30 ft
Then the the distance between the top and bottom of the bridge, in feet, = EC+AC
= 30 + 30 = 60 ft
Answer:
60 ft
Step-by-step explanation:
i did the test
Related Questions
pleaseeeeee hellppp me pleadeee
Answers
Answer:
Mode: 100
Mean: 46.94444...
Median: 29.5
Range: 150
Step-by-step explanation:
Mode: most occurring number: 100
Mean: Plus everything and divide by how many number there is: 845/18=46.94....
Median: The middle number, but you need to line it from smallest to greatest.
0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150
29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5
Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150
Hope this helps, BRAINLIEST would really help me:)
For each function, state the vertex and whether the function has a maximum or minimum value. Explain how you decided? f(x) = -(x + 1)^2 + 6
Answers
Answer:
maximum value at (- 1, 6 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then minimum value
• If a < 0 then maximum value
y = - (x + 1)² + 6
with (h, k) = (- 1, 6 ) and a = - 1
Thus vertex = (- 1, 6 ) and is a maximum
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answers
Answer:
51
Step-by-step explanation:
Well we first need to find the volume of the soup in the pot using the following formula,
πr^2h
15*15 = 225
225 * 25 = 5625
5625 * pi = 17671.46
Now we need to find the volume of the ice cube using the formula,
l*w*h
7*7*7 = 343
Now we do 17671.46 ÷ 343 = 51.5202915452
You can have half an ice cube,
thus, Sharon can make 51 whole cubes.
Hope this helps :)
Answer:
130 cubes ( if the cylindrical height is 25 in )
51 cubes ( if the cylindrical height is 25 cm)
Step-by-step explanation:
cube edges = 7 cm long
volume of the soup = pi * r² * h
where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm
cylindrical pot diameter d = 30 cm
Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 44,885.5 / 343 = 130 cubes
therefore, Sharon can make 130 whole cubes
-----------------------------------------------------
if the cylindrical height is 25cm then
Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 17,671.5 / 343 = 51 cubes
A man invested $800 at a 5.5% annual interest rate. How long will it take for his
money to earn $132 in interest?
Answers
Answer:
3 years
Step-by-step explanation:
I assume it's simple interest.
I = Prt
132 = 800 * 0.055 * t
t = 132/(800 * 0.055)
t = 132/44
t = 3
Answer: 3 years
FIRST CORRECT ANSWER GETS BRAINLIEST 50 PTS [tex](2x-5)^{2} +3(2x-5)-18[/tex]
Answers
Answer:
4x² -14x - 8
Step-by-step explanation:
(2x - 5)² + 3(2x-5) - 18
Expand brackets.
(2x-5)(2x-5) + 6x -15 - 18
2x(2x-5)-5(2x-5) + 6x - 33
4x² - 10x - 10x + 25 + 6x - 33
Combine like terms.
4x² -14x - 8
Answer:
4x^2 -14x -8
Step-by-step explanation:
( 2x-5)^2 + 3( 2x-5) -18
Foil
(2x-5)(2x-5) = 4x^2 -10x-10x +25 = 4x^2 -20x+25
Distribute
3( 2x-5) = 6x -15
( 2x-5)^2 + 3( 2x-5) -18
Replace with the foil and distribute
4x^2 -20x+25 +6x -15 - 18
Combine like terms
4x^2 -14x -8
Simplify (5 + 1)^2 - (12 + 3^2) = %3.
A. 29
B. -39
C. 5
D. -63
Answers
Answer:
29
Step-by-step explanation:
(5+1)^2-(12+3^2)/3 Add 5 and 1 = 6.
6^2-12+3^2/3 Calculate 6 to the power of 2 = 36.
36-12+3^2/3 Calculate 3 to the power of 2 = 9.
36-12+9/3 Add 12 and 9 = 21.
36-21/3 Divide 21 by 3 = 7.
36−7 Subtract 7 from 36 to get 29.
Determine the angles of rotation. Please answer!!!
Answers
Answer:
total rotation = 90 clockwise.
Step-by-step explanation:
Rotation from B to negative y-axis = 45 degrees because B(-3,-3)
Rotation from negative y-axis to B' = 45 degrees because B(-3,3)
Therefore total rotation = 45+45 = 90 clockwise.
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answers
The square centimeters show that the length and width multiplied resulted in the 30. (Centimeter times centimeter = square centimeter.) so you divide the 90 by 30 and the answer is 3.
Area=lw
Volume=lwh
Area given = 30
Volume given = 90
90=30h
H=3
Answer:
60
Step-by-step explanation:
30 - 7p = -7 (p+6) -5
Answers
Answer:
I think it doesnt have solution.
Marked price of a camera is Rs.5000. If it
sold at 15% discount, what will be discount amount?
Answers
The discount is 15%, multiply the price y 15%:
5000 x 0.15 = 750
The discount is 750
points Q and R are midpoints of the sides of triangle ABC. Triangle A B C is cut by line segment Q R. Point Q is the midpoint of side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent. What is AQ? 10 units 14 units 20 units 32 units
Answers
Answer:
AQ = 20 units
Step-by-step explanation:
I tried figuring in the pic below..
Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.
We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.
Answer:
20
Step-by-step explanation:
RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.
(also it is right on edgenuity)
Tricky question heelp mee!
Answers
146
Step-by-step explanation:
Given:
[tex]x - \dfrac{1}{x} = 12[/tex]
To Find:
[tex] \sf \: The \: value \: of \: {x}^{2} + \dfrac{1}{ {x}^{2} } [/tex]
How to find:
Just square both side, Solve as a equation and get the answer. Simple, Isn't it?
Solution:
See in attachment.
Answer:
146
Step-by-step explanation:
The answer of this question id 146 .
you can do this type of numericals by above process.
NEED HELP ASAP!!!! RIGHT NOW
Answers
Answer:
120 degrees
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Add all the number then subtract it with 360.
A section of a book fell out of it. The first page is numbered 35 and the last page is numbered 74. How many pages fell out?
Answers
Answer:
43
Step-by-step explanation:
Dos conductores A y B llenan un estanqe en 20 horas .Si el conductor B fuera un desague el estanq se llenaria en 52 horas ¿En q tiempo se llenara el estanque estando solo abierto el conducto A?
Answers
Answer:
Con el conducto A abierto, el estanque se llenará en 32.5 horas.
Step-by-step explanation:
Deje que el volumen de agua presente en el estanque sea x litros
La tasa conjunta sería x / 20 litros por hora.
Para el conducto A, no sabemos la hora, llamemos a esto y así que la tasa aquí será x / y
Para el conducto B tomará 52 horas y su tasa es x / 52
Matemáticamente, cuando sumamos ambas tasas juntas, obtendremos la tasa conjunta; Así; x / y + x / 52 = x / 20
Saca x en ambos lados 1 / y+ 1/52 = 1/20
(52 + y) / 52y = 1/20
20 (52 + y) = 52y
1040 + 20y= 52y
1040 = 52y -20y
32y = 1040 y = 1040/32
y = 32.5 horas
Con el conducto A abierto, el estanque se llenará en 32.5 horas.
Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working
Answers
Answer:
Step-by-step explanation:
The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.
The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.
The mode is 6, which is the integer that is shown the most.
Answer:
mean=4
median=4
mode=6
Step-by-step explanation:
Mean: add 0+2+2+4+4+6+6+6+6=36
36/ (the amount of numbers) 9= 4
Median: cross out the numbers left to right until you get to the middle which is 4.
Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.
jasper owns a small retail store as a sole proprietor. the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000. jasper uses the fifo method of inventory valuation. Which of the following statements are true?
a. jasper purchases more inventory during the year than sold during the same one year period.
b. jasper would have a higher net income
if he used the lifo method of inventory valuation instead of the fifo method
c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
d. since the cost of the stores inventory items is increasing, jasper will have a greater cost of goods sold figure under the fifo than the lifo.
e. none of the above
Answers
Answer:
c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
Step-by-step explanation:
First In First Out FIFO is a type of inventory system in accounting, it literally implies that the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :
FIFO will yield a lower cost of good sold
FIFO will yield a higher net income
FIFO will yield higher tax liability
FIFO will yield a higher inventory
From the information given:
the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.
What the statement implies is that:
jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory
Given the geometric sequence where a1 = −1 and the common ratio is 7, what is the domain for n? A. All integers B. All integers where n ≥ −1 C. All integers where n ≥ 0 D. All integers where n ≥ 1
Answers
Answer:
D
Step-by-step explanation:
Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].
It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].
In other words, as the common ratio is 7 the sequence is defined by
[tex]a_1=-1[/tex]
[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]
For instance, we can estimate the first terms:
[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]
And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:
[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]
Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Solve the equation for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. sine theta cosine theta minus sine theta equals 0
A. {270 degree - 360 degree n, where n is any integer}
B. {270 degree + 180 degree n, where n is any integer}
C. {270 degree + 180 degree n, 315 degree + 180 degree n, where n is any integer}
D. {270 degree + 360 degree n, 315 degree + 360 degree n, where n is any integer}
Answers
Step-by-step explanation:
The equation is sinθ * cosθ - sinθ = 0
sinθ * cosθ -sinθ = 0sinθ * cosθ = sinθcosθ = sinθ/sinθcosθ = 1θ = 0 + 2kπ
θ = 2kπ where k is any integer
The solutions to the equation are: {0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}
Hence, the correct option is C.
The given equation is:
sin theta × cos theta - sin theta = 0
We can factor out the sine theta:
sin theta (cos theta - 1) = 0
This means that either sin theta = 0 or cos theta - 1 = 0.
If sin theta = 0, then theta = 0, 180 degrees, 360 degrees, etc.
If cos theta - 1 = 0, then cos theta = 1, which means that theta = 0 degrees and 360 degrees.
Therefore, the solutions to the equation are:
{0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}
So the answer is C.
Learn more about solutions here: brainly.com/question/30665317
#SPJ2
Does anyone know the answer
Answers
Solution: C
Explanation:
Use the cosine rule
A^2=B^2+C^2-2BCcos a
5^2=8^2+8^2-2×8×8cos a
cos a=(25-64-64)÷(-2×64)
a=36.419°
approx = 36
A university offers a Calculus class, a Sociology class, and a Spanish class. Youare given data below about a group of students who have all taken at least one ofthe three classes.(iv)(i) Group 1 contains 187 students. Of these, 61 students have taken Calculus,78 have taken Sociology, and 72 have taken Spanish. 15 have taken bothCalculus and Sociology, 20 have taken both Calculus and Spanish, and 13have taken both Sociology and Spanish. How many students in Calculushave taken all three classes?\
Answers
Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.
We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.
We want to find the size of [tex]A\cap B\cap C[/tex], given that
• A has 61 students;
• B has 78;
• C has 72;
• [tex]A\cap B[/tex] has 15;
• [tex]A\cap C[/tex] has 20; and
• [tex]B\cap C[/tex] has 13.
Using the inclusion/exclusion principle, we have
[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]
where |X| denotes the size of the set X. Plug in all the known sizes:
[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]
[tex]\implies|A\cap B\cap C|=24[/tex]
so 24 students have taken all three classes.
The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)
Answers
Answer:
(1,-2)
Step-by-step explanation
y = -3x + 1
y = 2x - 4
-3x + 1 = 2x - 4
-5x + 1 = -4
-5x = -5
x = 1
y= 2(1) - 4
y = 2 - 4
y = -2
(1,-2)
Answer:
1/2
Step-by-step explanation:
9/4n = 1.5/7 Please Explain
Answers
Answer:
9/4n= 1.5/7
right now to find this equation it is a proportion so you cross multiply and you gonna get 63=6n and divide 6 on both sides and u get 10.5.
Check 9/4n= 9/42 and to simply u will get 1.5/7
Step-by-step explanation:
Joe and Danny have just won 350 arcade tickets. If each arcade game can be played with 12 tickets, how many will they have left over at the end of the day, if they play the maximum number of games?
Answers
Answer:
2 tickets left
Step-by-step explanation:
12✖️29=348
350-348=2
Answer:
If they play the maximum number of games, there will be two tickets left over.
Step-by-step explanation:
For this problem, I used long division.
350 divided by 12 comes out to be 29.
29 is the maximum number of games they could play.
29 times 12 is 348.
350 (the total number of tickets) minus 348 (number of tickets used) comes out to be two.
Hope this helps! Brainliest would really help me out :)
how to solve for x?Knowledge and Understanding
Answers
Answer:
x = 25°Step-by-step explanation:
The figure above is a quadrilateral
Angles in a quadrilateral add up to 360°
To find x add up all the angles and equate them to 360°
That's
6x + 4x + 3x + x + 10 = 360
14x = 350
Divide both sides by 14
x = 25°
Hope this helps you
Find the value of sin(θ) for an angle theta in standard position with a terminal ray that passes through the point (4,-3)
Answers
Answer:
[tex]\dfrac{-3}{5}[/tex]
Step-by-step explanation:
It is given that a terminal ray that passes through the point (4,-3).
x = 4
y = -3
Using Pythagoras theorem, the value of hypotenuse is
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(-3)^2+(4)^2}[/tex]
[tex]r=\sqrt{9+16}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
We, know that
[tex]\sin \theta = \dfrac{y}{r}[/tex]
[tex]\sin \theta = \dfrac{-3}{5}[/tex]
Therefore, the value of [tex]\sin \theta[/tex] is [tex]\dfrac{-3}{5}[/tex].
Answer:
Step-by-step explanation:
What is the midpoint of the segment shown below? (3, 7) (2, -1)
Answers
Answer:
( 2.5 , 3 )Step-by-step explanation:
Let the points be A and B
A ( 3 , 7 ) --------> (x1 , y1 )
B ( 2 , -1 ) --------> ( x2 , y2 )
Finding the midpoint:
[tex]( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex] = ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )[/tex]
[tex] = ( \frac{5}{2} , \: \frac{7 - 1}{2} )[/tex]
[tex] = ( \frac{5}{2} ,\: \frac{6}{2} )[/tex]
[tex] = (2.5 ,\: 3)[/tex]
Hope this helps...
Good luck on your assignment ....
Answer:
(2,-1)
Step-by-step explanation:
Welol to find the line of (3,7) and (2,-1) we need to use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So -1 is y2 7 is y1 so -1 - 7 = -8
2-3 = -1
Hence, the slope of the line is 8.
And graphing more points on the graph using the slope we can see the y intercept is -17.
So the equation is y = 8x - 17
And the mid point is at (2, -1)
Can anyone please help me with this?
Answers
Answer: 4
Step-by-step explanation:
Because there are two equal angles, this is an isoceles triangle. Line JP and HP are equal. To find the variable, write the equation which would be 3x-6=x+2. X is 4.
hope this helped:)
Answer: 4 AKA D
Step-by-step explanation:
Well to start off, we must first establish that line JP and line HP are equal because of the red ticks in the corner. So once we figured that out, then 3x-6 = x+2
»Next we add 6 to both side to make 3x = x+8
»Then we subtract x from both sides to equal 2x = 8
»Then we divide both sides by 2 which equals x=4
»So the final answer would be D. 4
Hope i helped
-lvr
11/12-1/6q+5/6q-1/3 it says its wrong
Answers
Answer:
2/3q + 7/12
Step-by-step explanation:
If you are trying to simplify your expression
4/6q + 7/12
2/3q + 7/12
How to do this question plz
Answers
Answer: x=10
Step-by-step explanation:
We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.
The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:
(square root of 200)^2 + x^2 = (square root of 300)^2
200 + x^2 = 300
x^2 = 100
x = 10
Answer:
Step-by-step explanation
square root 300 square - square root 200 square = x square
300 - 200 = x square
100 = x square
square root 100 = x
10= x