Answer: 90%
135/150 * 100
45*2
90
Lin is playing hand ball and wants the ball
to bounce off wall CB and land at D.
Where on the wall should she aim if she's
standing at point A?
Lin should aim the ball at 7.8 feet away from point B
From the question (see attachment), we have the following equivalent ratios:
[tex]AB : BE = DC :CE[/tex]
This is so because triangles ABE and DCE are similar triangles.
Such that:
[tex]BE + CE = 20[/tex]
[tex]AB = 16[/tex]
[tex]DC = 16 + 9 = 25[/tex]
So, we have:
[tex]AB : BE = DC :CE[/tex]
[tex]16 : BE = 25: CE[/tex]
Make CE the subject in [tex]BE + CE = 20[/tex]
[tex]CE=20 - BE[/tex]
Substitute 20 - BE for CE in [tex]16 : BE = 25: CE[/tex]
[tex]16 : BE = 25: 20 - BE[/tex]
Express as ratio
[tex]\frac{16 }{ BE} = \frac{25}{ 20 - BE}[/tex]
Cross multiply
[tex]16(20 - BE) = 25BE[/tex]
Open bracket
[tex]320 - 16BE = 25BE[/tex]
Collect like terms
[tex]25BE + 16BE = 320[/tex]
[tex]41BE = 320[/tex]
Divide both sides by 41
[tex]BE = 7.8[/tex]
Hence, she should aim at 7.8 feet away from point B
Read more about similar triangles at:
https://brainly.com/question/14285697
Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
Step-by-step explanation:
number 4 plssss!!!!!!!!!!
Answer:
AB = 21
Step-by-step explanation:
Tales' theorem
[tex]\frac{12}{14} =\frac{18}{AB}[/tex]
[tex]AB=\frac{(14)(18)}{12}[/tex]
[tex]AB=21[/tex]
Hope this helps
(i)Given that:
AE || BD
AB = ? [Let AB be x]
BC = 3
ED = 12
DC = 4
We know that
By Basic Proportionality Theorem,
AB/BC = ED/DC
On substituting these values in the above formula
⇛ AB / 3 = 12 / 4
On applying cross multiplication then
⇛ x(4) = (12)3
⇛ 4x = 36
Shift the number 4 from LHS to RHS.
⇛ x = 36÷4
⇛ x = 36/4
Therefore, AB = 9
Answer: The value of AB for the given problem is 9.
Similarly,
(ii) Given that:
EB || DC
AE = 14
ED = 12
AB = ? [Let AB be X]
BC = 18
We know that
By Basic Proportionality Theorem,
AE / ED = AB / BC
On substituting these values in the above formula
⇛ 14 / 12 = x / 18
On applying cross multiplication then
⇛ 14(18) = (12)x
⇛ 252 = 12x
Shift the number 252 from LHS to RHS.
⇛ X = 256÷12
⇛ X = 21
Therefore, AB = 21
Answer: The value of AB for the given problem is 21
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".also read similar questions: In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is..
https://brainly.com/question/18679712?referrer
https://brainly.com/question/18679661?referrer
Which expression is equivalent lo the following complex fraction?
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope this helps you !!D
E
B
с
5. Find the measure of angle BAC. Hint: What is the sum of the measures of the
vertex angles of the nine congruent isosceles triangles? (1 point)
HELP PLEASE!!!!!
The measure of angle BAC is 20 degrees
How to determine the measure of BAC?The angle on a straight line is 180 degrees.
There are 9 equal sections on the straight line.
This means that the measure of each section is:
Each section = 180/9
Evaluate
Each section = 20
So, we have:
BAC = 20 degrees
Hence, the measure of angle BAC is 20 degrees
Read more about congruent angles at:
https://brainly.com/question/1675117
#SPJ2
if you multiply a number by 3 an then subtract 5,you will get 40.what is the number?
Answer:
The answer is 15
Step-by-step explanation:
15*3=45-5=40
Bella is training for a marathon. She can run 19 miles in 150 minutes. How many miles can she run in 5 hours?
Answer:
Step-by-step explanation:
The answer is 38 miles
A line passes through the point ( -1,2 ) and has a slope of 6. Write an equation for this line.
Answer:
y = 6x+8
Step-by-step explanation:
y = mx+b
y = 6x + b
2 = 6(-1)+b
2 = -6+b
8 = b
y = 6x+8
Need some help :(
A)12.7
B)13.3
C)12.4
Answer:
i am just here for points
Step-by-step explanation:
Select “Rational” or “Irrational” to classify each number.
pls help!!!!!!! its applications in pre calc
The total weight W of such a plane is equal to
W = w + gf
where
w = weight of plane without fuel
g = number of gallons of fuel
f = weight of 1 gallon of fuel.
When carrying g = 10 gallons, the total weight is W = 1955, so
1955 = w + 10f
When carrying g = 42 gallons, the weight is W = 2131, so
2131 = w + 42f
We want to find W when g = 52, and to do this we first need to find the weight of the plane w and the weight of 1 gallon of fuel f.
Solve the system of equations,
w + 10f = 1955
w + 42f = 2131
We can combine the equations like so to eliminate w and solve for f :
(w + 42f) - (w + 10f) = 2131 - 1955
32f = 176
f = 11/2 = 5.5
Then solving for w, we get
w + 10 (5.5) = 1955
w + 55 = 1955
w = 1900
So, when the plane carries g = 52 gallons of fuel, the total weight is
W = 1900 + 52 (5.5) = 2186
Koala Airlines carries an average of 272 passengers on its Dallas-Perth flight. It runs 620 such flights each year. How many passengers does it carry on those flights each year?
Answer:
272×620=168,640
Step-by-step explanation:
If koala airlines carries 272 in average then the answer is 168,640
16
Which equation has a graph of a vertical line?
Answer:
3rd option
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The only equation in this form is option 3
3x - 2 = 0 , as
3x = 2 and
x = [tex]\frac{2}{3}[/tex] ← equation of vertical line
Rewrite the equation in slope -intercept form then graph the linear equation x+4y=8
Answer:
Step-by-step explanation:
x + 4y = 8
-x -x
4y = -x + 8
divide by 4
y= -1/4x + 2
then graph
Graph the line with the equation
y = -1/3x + 4.
Answer:
Answer in the image
Step-by-step explanation:
HELP PLZ I NEED THIS DONE ASAP
Answer:
Step-by-step explanation:
The answer would be -19
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which 2 expressions are equiavalent to -40/9
Answer:
360 is the answer
Step-by-step explanation:
hi
have a good day
hope it helps you
thank me later
carryonlearing
Answer:
Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u
Find the term indecent of x in the expansion of (x^2-1/x)^6
By the binomial theorem,
[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]
I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient
[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]
PLEASE HELP!! the polynomial expression x(2x^2+15)(4x^2+5x+3 where x is in inches can be used to model the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the dimensions in inches of the cement needed for the porch. Height(shortest length side) width(medium length side) and length(longest length side)
Answer:
height 2 incheswidth 23 incheslength 29 inchesStep-by-step explanation:
For x=2, the dimensions are ...
height = x = 2 inches
width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches
length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches
Please guys I have 10 maybe 20 minutes to get this finished
Answer:
so there are 100 pennies in one dollar so
100*1000000=100000000
or 100 million
Hope This Helps!!!
What is the LCD of 11/6 and 5/9
Can you help me answer this question?
Increase £184 by 3%
Answer:
189.52
Step-by-step explanation:
184 x 0.03
5.52
184 + 5.52
189.52
Answer:
184*1.03 = £189.52
Step-by-step explanation:
larry needs to change a lightbulb in the ceiling Larry liens a 16 foot ladder against a wall with its base 5 feet away from the wall which is closest to the distance of the height of the wall to the top of the ladder
A 3 feet
B 11 feet
C 15 feet
D 17 feet
The solution is Option C.
The height of the wall to the top of the ladder is 15 feet
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Let the height of the wall be represented as h = AB
Now , Larry liens a 16 foot ladder against a wall
So , the hypotenuse of the triangle AC = 16 feet
And , the base is 5 feet away from the wall
So , the base of the triangle BC = 5 feet
The height of the wall h is given by the Pythagoras theorem ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
16² = AB² + 5²
On simplifying the equation , we get
Subtracting 5² on both sides of the equation , we get
AB² = 16² - 5²
AB² = 256 - 25
AB² = 231
Taking square root on both sides of the equation , we get
AB = 15.19
AB ≈ 15 feet
Therefore , the value of h is 15 feet
Hence , the height of the wall is 15 feet
To learn more about triangle click :
https://brainly.com/question/16739377
#SPJ2
John is 10 years younger than james . In 5 years time James will be twice as old as John 1. How old is John 2. what was their total age 3 years ago
Answer:
John is 5 nowtotal age 3 years ago was 14Step-by-step explanation:
When James is twice as old as John, the difference in their ages will be John's age: 10. That is 5 years from now, so John's age now is 10 -5 = 5.
John is 5 years old.
__
3 years ago, John was 2 and James was 12. Their total age at that time was 14.
The square of a number minus twice the number is 48. Find the number.
Answer: 8 or -6
Step-by-step explanation:
x^2 - 2x = 48
x^2 - 2x - 48 = 0
(x-8)(x+6) = 0
x = 8 or -6
Need help SOS l don’t understand
Answer:
−5<n≤2 I think, I don't really understand the question either I'm sorry!!!!
00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts
Answer:
number of adult shirts sold (a) = 20
number of youth shirts sold (b) = 10
Step-by-step explanation:
a = number of adult shirts sold
y = number of youth shirts sold
30 = a + y
$324.50 = 11.50a + 9.45y
This is the resulting system of equations from the given information in the problem.
Solve for y in the first equation and then substitute the equation for y into the second equation :
a+y=30 --> y=30-a
324.50 = 11.50a + 9.45(30-a)
Solve for a.
324.50 = 11.50a + 283.5 - 9.45a
41 = 2.05a
a = 20
Now that we have solved for a, we can back substitute into our equation for y and solve.
y=30-(20)
y = 10
CHECK:
(20)+(10) = 30 True
(11.50)(20) + (9.45)(10) = 324.5 True
solve for x
2x +2 <14
Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Answer:
y = 2x + 9.
Step-by-step explanation:
Using the point-slope form:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So here we have:
y - 1 = 2(x - (-4))
y - 1 = 2(x + 4)
y - 1 = 2x + 8
y = 2x + 9.
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
The equation that matches the given points is g(x) = -1.4x + 7.6
The standard form of a linear equation is expressed as [tex]g(x)=mx + b[/tex]
m is the slope of the lineb is the y-intercept:Using the coordinate points (3, 3.4), (4,2)
[tex]m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4[/tex]
Substitute m = -1.4 and the coordinate (4, 2) into the formula:
[tex]2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6[/tex]
Get the required equation:
[tex]g(x)=mx+b\\g(x)=-1.4x+7.6[/tex]
Hence the equation that matches the given points is g(x) = -1.4x + 7.6
Learn more on equation of a line here; https://brainly.com/question/9351428
What is the value of X?
Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable