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?
Answers
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:
Related Questions
20x+10x-8=0 solution set of equation
Answers
2. Isolate the variable (30x =8)
3. Divide both sides by the coefficient (x= 8/30)
4. Simplify (x= 4/15)
Answer:
0.2666666666Step-by-step explanation:
20x+10x-8=0
first of all, you will +8 on both sides so there are no negative numbers onany side
20x+10x=8
now gather everything up
30x=8
divide everything by 30 now to get the value of 1x
30x/30=x
8/30=0.2666666666
Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6
Answers
Answer:
D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.
Step-by-step explanation:
Please help with the steps to get the answer. Thank you.
15^(4x-8 )= 1
Answers
[tex]15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2[/tex]
Suppose a varies jointly as b and c. Find a when b= 4 and c= -4 a= -60 when b= -5 and c= 4
Answers
Answer:
b=4
Step-by-step explanation:
Harriet and tom run and walk, respectively, a 12 mile course
they both want to finish the course together at the same time
tom sets off at 8:15
am and walks at a constant speed of 4 mph
Given that Harriet runs at a constant speed of 8 mph, at what time should she set off
Answers
Answer:
t = S / v time = distance / speed
For Tom t = 12 m / 4 mph = 3 hours to cover course
Tom will finish at 8:13 + 3 = 11:15
th = 12 m / 8mph = 1.5 hours to cover course
11:15 - 1.5 = 9:45 time Harriet should start to finish in 1.5 hours
plz help answer will mark brainiest
Answers
Answer:
4/3 litres of water is enough to water 2/5 of the plants
Assuming the number of plants in the house is an unknown variable, take the value as x.
Thus, 4/3 litres is enough to water 2x plants in the house.
x = 4/3 ÷ 2
= 2/3 litres
Amount of water for all the plants = 5x = 5 × 2/3
= 10/3 litres
Thus, 10/3 litres of water is necessary to water all the plants in the house.
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.
Answers
Answer:
m = 2, b = 9
Step-by-step explanation:
Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.
Find b by substituting one of the coordinates into the problem.
y = mx + b
1 = 2(-4) + b
1 = -8 + b
9 = b
a wedding reception seats 8 people at each table The relationship is represented by the equation p=8t where p is the number of people at t is the number of tables 
Answers
Answer:
that means its 8 * 8 = 64
There are 64 ppl
Please help me
I such at geometry
Answers
Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)
Answers
Answer:
y=3x-19
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=3(x-6)
y+1=3(x-6)
y=3x-18-1
y=3x-19
What is the difference between log(x/y) and log(x)/log(y)?
Answers
what is parallelogram?
Answers
Answer:
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.
Step-by-step explanation:
Which three points are collinear?
Answers
Answer:
ABC
Step-by-step explanation:
Colinear means on the same line, and you can tell ABC are all on the line in the middle of the parallelogram. Another way to do this if you don't know what colinear means is to look for the similarities between the points. The only similarity between any of the points is that three are on the same line, meaning they must be colinear and have the right answer.
Please consider a brainliest! Thank you!
86,400 seconds into day.please
Answers
[tex]\underline\mathtt\colorbox{gold}{1 day}[/tex]
Step-by-step explanation:
1440 minutes, 24 hours or 1 day
Its easy to check - - - Divide 86400 by 60(to make into minutes) =1440 minFurther. Divide 1440 by 60 (to make into hours) =24 hrsNow who doesn't know that 24 hours is 1 day?Please answer the following question
(d+m)A=2
A= ?
Answers
Answer:
A is equal to 3
please mark me as brianleast
It can be rewritten as A(d+m)=2
The opposite of multiplying is division is divide (d+m) on both sides
A=2/(d+m)
a2+b2=
What is the answer
Answers
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)
simplify √20 x √5
10
4√5
√10
Answers
20*5=100
Root of 100 is 10
pls help this a math question. image below
Answers
Answer:
D
Step-by-step explanation:
Same X, but different Y value, it is five apart in D
Blair worked for 4 2/5 hours and earned $36.30. How much would she earn if she worked for 5 4/5 hours? Enter your answer in the box.
PLEASE HELP ASAPPPPP!!! I WILL GIVE BRAINLIEST AND 50 POINTS!!!
Answers
Answer:
$47.85
Step-by-step explanation:
4 2/5 in decimal form is 4.4
Using the equation hrs/money=x, 36.30/4.4=8.25
So, she gets $8.25 per hour
Then, 5 4/5 in decimal form is 5.8
So, 5.8*8.25=47.85
She gets $47.85 for working 5 4/5 hours
Answer:$47.85
Step-by-step explanation:
Sherry is making a snack mix for a school field trip.
HELP
The recipe shows the amount of each ingredient needed to make 6 bags.
3 cups granola
1 cup raisins
1.5 cups almonds
0.5 cup cranberries
0.75 cup chocolate chips
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.
To make 18 bags of snack mix, Sherry needs _ cups of almonds.
Sherry needs 6 cups of granola to make _ bags of the snack mix.
If Sherry uses 1 cup of cranberries, she will need to use _ cups of raisins.
The recipe will make _ bags of the snack mix if Sherry uses only 1 cup of granola.
Answers
Answer:
4.5 cups, 12 bags
Step-by-step explanation:
Each batch makes 6 bags, so if she makes 18 bags she needs 3 times as many cups of almonds, 1.5 x 3 = 4.5
If she uses 6 cups of granola she is using twice as much so she could make 12 bags.
Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy
Answers
The number of soda bottles Katie bought is 6
The given parameters are:
Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99Assume the number of soda bottle is x.
So, we have:
[tex]Total = Pizza + Soda \times x[/tex]
This gives
[tex]23.99 = 14.99 + 1.50\times x[/tex]
Subtract 14.99 from both sides of the equations
[tex]9 = 1.50\times x[/tex]
Divide both sides of the equations by 1.5
[tex]6=x[/tex]
Rewrite the equation as
[tex]x = 6[/tex]
Hence, the number of bottles is 6
Read more about linear equations at:
https://brainly.com/question/14323743
4. Which table shows a constant rate of
change?
A
Hours
2
7
14
Earnings ($)
40
60
80
B.
Hours
2
7
14.
Earnings ($)
40
140
280
C
Hours
2
7
14
Earnings ($)
40
70
140
Answers
Answer:
A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).
Step-by-step explanation:
Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.
Answers
Answer:
142
Step-by-step explanation:
Hope this helps
Helpp real quick GIVING CROWNN!!
Answers
Answer:
2g+60>92
Step-by-step explanation:
Using HL, are the two triangles congruent? What information would be used? Question 2 options: A) No, the triangles aren't congruent by HL. ∠H ≅ ∠M, ∠N ≅ ∠I, ∠L ≅ ∠J B) Yes, the triangles are congruent by HL. ∠H ≅ ∠M, ≅ C) Yes, the triangles are congruent by HL. ≅ , ≅ D) No, the triangles aren't congruent by HL. ∠N ≅ ∠I, ≅
Answers
Answer:
Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ
Step-by-step explanation: I took the test
Answer:
Step-by-step explanation:
j
please Help NEED NOW
thank you so much
Answers
A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?
Answers
Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
13-n + 2n > 8 + 1 Solve the given inequality and graph and solution
Answers
because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable
I will give brainiest to the best answer.
what is half of the square root of 72?
Plz answer in square root form. Thank you
Answers
Answer:
3sqrt(2)
Step-by-step explanation:
72=6^2 x 2 so sqrt(72)=6sqrt(2)
divide by 2 to get 3sqrt(2)
Answer:
[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchmet \: [/tex]
Hope this helps you !!Sophia wants to buy a digital camera for $145.40. She has $ 37.90 and is saving $ 2.50 each week. In how many weeks will she have enough money saved to purchase the camera?
Answers
Answer:
43 weeks
Step-by-step explanation:
145.40 - 37.90 = 107.5
107.5/2.50 = 43