Answer:
actually these trigonometric identies helps us in the problem of height and distance.
actually originated from India trignometic identities are famous all over the world .greek mathematician Pythagoras also has important contribution intrigometry.
it opens up the world of architect and civil engineering to u and lot more
keep exploring
find CE 14 6 x - 5 2x + 3
The value of x from the similar triangles is x = 9 and the length of CE of the triangle ACE is CE = 35
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔACE
Let the second triangle be represented as ΔBDC
The measure of side AB = 6
The measure of side BC = x - 5
The measure of side AC = x + 1
The measure of side CD = 14
The measure of side DE = 2x + 3
The measure of side CE = 2x + 17
Now , ΔACE and ΔBDC are similar
So , the corresponding sides of similar triangles are in the same ratio
Substituting the values in the equation , we get
AC / CE = BD / CD
( x + 1 ) / ( 2x + 17 ) = ( x - 5 ) / 14
On simplifying the equation , we get
14x + 14 = 2x² - 10x + 17x - 85
Subtracting 14x + 14 on both sides of the equation , we get
2x² - 7x - 99 = 0
On factorizing the equation , we get
x = 9 or x = -11/2
Substituting the value of x in the equation , we get
The length of line segment CE = 2x + 17
The length of line segment CE = 2 ( 9 ) + 17
The length of line segment CE = 35
Hence , the length of CE is 35
To learn more about similar triangles click :
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Joe designs a weighted number generator that produces the integers 0 to 4. He then run the generator 500 times. The results are shown in the table. If Joe runs a generator a total of 4000 times, which is the closest to the expected number of times to integer for is produced?
Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number
Step-by-step explanation:
Solve for a: c=10 and b=22
a+c=6
a=
Answer:
a = -4
Step-by-step explanation:
a + c = 6
substitute 10 for 'c'
a + 10 = 6
a = -4
Answer:
a has to be a negative since c is equal to 10 so a is -4 because -4 + 10= 6
Step-by-step explanation:
hope this helps.
choosing from a comedy horror or action movie each shown in four different theaters
What transformation is shown below?
reflection
can't be determined
rotation
translation
Answer:
it's a translation
Step-by-step explanation:
it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.
Diego bought some raisins and walnuts to make trail
mix. Raisins cost $4 a pound and walnuts cost $8 a
pound. Diego spent $15 on both ingredients. Decide if
each pair of values could be a combination of raisins
and walnuts that Diego bought.
Explain your answer.
Answer:
The last one
Step-by-step explanation:
Can someone please help me with math.
Answer:
21.c
22.b
23.c
Step-by-step explanation:
2. Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the
same game. Lebron scored the same number of points as Dwayne’s previous personal best.
Write two algebraic equations, let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.
Answer:
Required equations are:
d + 10 = 55c + 15 = dSolving the first, we get:
d = 55 - 10d = 45Solving the second we get:
c + 15 = 45c = 45 - 15c = 30find and write all the angles figure
I need it please fast and I will mark brainlist
Answer:
O1=150
O3 =15O
O2 = 30
16 = 120
x = 60
14 = 60
15 = 60
12 = 60
9 = 120
10=120
1= 130
2=50
3= 130
4=50
6=50
7=50
8= 130
5= 130
Step-by-step explanation:
O1 + 30 = 180
01 = 180 - 30
O1 = 150
O3 = O1 = 150 VERTICAL OPPOSITE ANGLES
02=30 VERTICAL OPPOSITE ANGLES
Which is larger, a pound or a kilogram? Explain your reasoning.
Answer:
kg
Step-by-step explanation:
1pound is 0.45kg
Answer:
Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:
Which expression is equivalent to -80 ? ✓ ОО 0 -4.5 -4.5 O 0 4.5 4.5;
Answer:
00
Step-by-step explanation:
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
please answer the correct answer PLEASE I will also give Brainlist
A student wrote the following equations: Зу + 6 = 2х 2y - 3x = 6 The lines represented by these equations are.
1- Parallel
2- the same line
3- perpendicular
4-intersecting, but not perpendicular
Answer:
Please should we solve the equation or the angle?
can i please have help thank you
Answer:
37
Step-by-step explanation:
10x40 = 400
2(39+42)+ 40 x 4 + 41 + X = 400
162 + 160 + 41 = 400 - X
400 - 363 = X
X= 37
Answer:i dont know sr
Step-by-step explanation:
Please help! Thank you if you do :)
Step-by-step explanation:
A(-5,1) and B(0,4)
[tex]m \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
X1=0 , Y1=4 X2= -5 , Y2=1
[tex]m \: = \: \frac{3 }{5} [/tex]
[tex]y - y1 = m(x - x1)[/tex]
y - 4 = ⅗(x-0) ==> y - 4 = ⅗ X ==> y = ⅗ X + 4
C is the answer
does anyone know how to do any of these types of problems?
9514 1404 393
Answer:
150°
Step-by-step explanation:
The rule here is that the external angle is half the difference of the arcs subtended. That relation is used to form an equation, which can then be solved for whatever measure is of interest.
(RB -EC)/2 = D
((13x +7) -(60))/2 = (5x -10)
13x -53 = 10x -20 . . . . . . . . . . multiply by 2
3x = 33 . . . . . . . . . . . . . . add 53-10x to both sides
x = 11 . . . . . . . . . . . . divide by 3
RB = 13x +7 = 13·11 +7 = 150
The measure of arc RB is 150°.
Please help me out on this no link, no bots, no stealing points, don’t answer if you don’t know
Answer:
x = 15
Step-by-step explanation:
[tex]x^{2} + 20^{2} =25^{2}[/tex]
[tex]x^{2} +400=625[/tex]
[tex]x^{2} =225\\[/tex]
[tex]\sqrt{x[/tex]
=x
[tex]\sqrt{225}[/tex]
= 15
[tex]x=15[/tex]
Evaluate 3x^2, when x is 5
Help meee
Answer:
75
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
3(5^2) = 3(25) = 75
which expression is equivalent to x^4-2x^ 3+x^2
Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of
popcorn each. If the friends spend a total of $62, how much does each small bag of popcorn cost?
Write and solve an equation.
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answer:
option (C) W + 180° is right answer
Please!!! I need help
Answer:m
Step-by-step explanation:
n
PLEASE HELP!!!!!! I need the answer right now
Answer:
C
Step-by-step explanation:
The product of 4x and O is
Answer:
Always the product of any number and zero will be zero.
Step-by-step explanation:
Answer: Always the product of any number and zero will be zero.
HOPE THIS ANSWER HELPS YOU....
Find the average rate of change of g(x) =-x²+2x+2 from x=2 to x = 6.
Simplify your answer as much as possible.
Solve the equation replacing x with 2 and the 6:
-2^2 + 2(2) + 2 = 4 + 4 + 2 =10
-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50
Difference between the answers: 50-10 = 40
Difference between 2 and 6 = 6-2 = 4
Average rate of change = 40/4 = 10
The answer is 10
12x + 70 ≥ 10x + 80?
Answer:
x is greater than or equal to 5
Step-by-step explanation:
Hope this helps! :))
Have a nice day<3
4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants to attend is $12,000 per year. Owen's parents will pay 60% of the tuition cost every year and he will pay the rest. Owen has one year to save for enough money to attend his first year of college. What is the minimum amount of money he should save every month in order to reach his goal? A. $600 B. $400 D. $500 C. $300
Answer:
400
Step-by-step explanation:
12000 X 60%=7200-parents
12000-7200=4800-owen
4800/12=400 is what owen will save monthly
There are 18 children in Haley's preschool class. During free time yesterday, 3 of them chose to play with blocks. What is the probability that a randomly selected child chose to play with blocks yesterday?
Answer:
3/18
Step-by-step explanation:
Out of the 18 kids, three of them did, so 3/18, which can be simplified to 16.6666%, so 17% if you round it to the nearest degree.
Answer:
1/4
Step-by-step explanation:
its literally 1/4
HELP HELP HELP HELP HELP HELP HELP
Answer:
1) x = 50 m
2) Max area = 22500 m²
3) Max area of each pen = 1500 m²
4) y = 150 m
5) dimensions of pen are 50m and 30m
6) Graph is attached
Step-by-step explanation:
Area of a rectangle is length × width
Let length be y and let width be x
Thus;
A = xy
Fencing material is 600m
Thus,perimeter = 600
Perimeter is; P = 6(length) + 2(width)
Thus;
600 = 6x + 2y
y = (600 - 6x)/2
y = 300 - 3x
Thus,
A = x(300 - 3x)
A = -3x² + 300x
We can see that the coefficient of x² is negative. This means that the parabola will open downward and has a maximum value at the vertex.
The vertex formula is;
x = -b/2a
a = -3
b = 300
Thus;
x = -300/(2 × -3)
x = 50 m
Since y = 300 - 3x, then;
y = 300 - 3(50)
y = 150 m
Maximum area of entire garden = xy = 50 × 150 = 7500 m²
There are 5 pens, thus;
Max area of each pen = max area of entire garden/5 = 7500/5
Max area of each pen = 1500 m²
Dimensions of each pen will be;
x and y/5
>> x = 50 m and y/5 = 150/5 = 30m
6x^2+3x+24=0 solve by factoring
Answer:
No real solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2+3x+24=0
For this equation: a=6, b=3, c=24
6x2+3x+24=0
Step 1: Use quadratic formula with a=6, b=3, c=24.
x= (−b±√b2−4ac) /2a
x=( −(3)±√(3)2−4(6)(24))/ 2(6)
x= (−3±√−567) /12