Answer:
[tex]d = 340.7m[/tex]
Step-by-step explanation:
See attachment for question illustration
From the attachment, we have:
[tex]AB = 125m[/tex]
[tex]<A = 41.6[/tex]
[tex]<B = 124.3[/tex]
Required
Solve d
First, we need to calculate <C
[tex]<A + <B + <C = 180[/tex] --- angles in a triangle
[tex]41.6+ 124.3 + <C = 180[/tex]
[tex]165.9+ <C = 180[/tex]
Make <C the subject
[tex]<C = 180 - 165.9[/tex]
[tex]<C = 14.1[/tex]
Next, we apply Sine's law to solve for d
[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]
In this case:
[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]
Make d the subject
[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]
[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]
[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]
[tex]d = 340.663639629[/tex]
[tex]d = 340.7m[/tex]
Hence, the base of the lake is approximately 340.7m
Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answer:
4b-5=71
19 books
Step-by-step explanation:
b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation
Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.
Search entries or author
Answer:
Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.
Given that the triangles shown below are similar, what is the value of x?
D
32
40
16
20
H
48
M
P
X
L
A. 20
O
B. 10.7
O
C. 96
O D. 24
Answer:
the answer is D. 24
Step-by-step explanation:
the smaller triangle is half the size of the bigger triangle so just divide 48 by 2
ANYONE WANNNA HELP MATH!!!!! HRW BTW
Answer:
1/4 off
Step-by-step explanation:
1/4 is 0.25. 0.25 times 100 is 25. It would be 25% off. 25 is more than 20 and why buy 3 to get 1 free. Hope this helps!!!! Let me know if i'm right please.
What is the range of h
What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?
Answer
Y-5=-8/5 (x+3)
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Answer:
Y-5=-8/5 (x+3) good luck
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
Because 5/8×18 is 11 1/4
Answer:
what he said
Step-by-step explanation:
Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?
Answer:
1) the probability that he wins the second game is 0.45
2) the probability he wins the first game given that he won the second game is 0.333
3) Expected Value is $ 1.5 and the variance is 0.75
Step-by-step explanation:
Given the data in the question;
Let Win1 represent first game victory
and Loss1 represent first game loss
Let Win2 denote second game victory
and Loss2 denote second game loss
now from the Tree diagram of Daniel;
P ( Win1 ) = 0.6
P ( Loss1 ) = 0.4
P ( Win2 | Win1 ) = 0.25
P ( Loss2 | Win1 ) = 0.75
P ( Win2 | Loss1 ) = 0.75
P ( Loss2 | Loss1 ) = 0.25
1) probability that he wins the second game will be;
P ( Win2 ) = [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]
we substitute
= [0.6 × 0.25] + [0.4 * 0.75] = 0.45
Therefore the probability that he wins the second game is 0.45
2)
If he wins the second game, what is the probability that he also won the first game will be;
{From Bayes' Theorem}
P ( Win1 | Win2 ) = P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )
= 0.6 × 0.25 / 0.45 = 0.333
Therefore the probability he wins the first game given that he won the second game is 0.333
c)
winnings probability
$0 0.4 × 0.25 = 0.1
$1 0.6 × 0.75 = 0.45
$2 0.4 × 0.75 = 0.3
$3 0.6 × 0.25 = 0.15
so Expected Value = ∑( winnings × individual win probability)
= (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)
= 0 + 0.45 + 0.6 + 0.45
= $ 1.5
Variance = ∑( X² ) - (∑(X))²
∑( X² ) = Summation of ( Winnings² × Probability of Each Win )
so
Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²
Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25
Variance = 3 - 2.25
Variance = 0.75
Therefore Expected Value is $ 1.5 and the variance is 0.75
Solve the proportion. 8/11 = 4/y + 2
Answer:
The answer is Y = - (22)/(7 )
Step-by-step explanation:
The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude
A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.
Answer:
What is the question?
Step-by-step explanation:
Answer: The initial value is 150 and the rate of change is 30
150+30x=y
What is
125% of
16?
please help me i’m not good at math at all.
Answer:
125% of 16 is 20
Step-by-step explanation:
Hope this helps!
What is the y-intercept of the graph of 4y = 2x + 8?
4
2
6
00
N
Answer:
2
Step-by-step explanation:
4y = 2x + 8
First get the equation in slope intercept form y= mx+b where m is the slope and b is the y intercept
Divide each side by 4
4y/4 = 2x/4 +8/4
y = 1/2x +2
The slope is 1/2 and the y intercept is 2
Answer:
2
Step-by-step explanation:
Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.
To do this, divide 4 from both sides:
[tex]y=\frac{1}{2} x+2[/tex]
b = 2
Jasmine saves $46 each month from her part-time job. She saves 2/5 of her earnings. Her earnings a can be found by using the equation 2/5a = 46.
Find her earnings.Required to answer. Single choice.
(10 points )
$ 230
$ 115
$ 92
$ 18.40
Answer:
$115 is the correct answer please mark me as brainliest
What is the answer I need it ASAP
Answer:
the 1st one!
Step-by-step explanation:
In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80
Answer:
60°
Step-by-step explanation:
In an equilateral triangle all sides are equal so as all angles are same,
3 sided fig. 180÷3= 60°
I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?
Answer:
y = -3x + 120
Step-by-step explanation:
Hope this helps!
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
plz help! WILL GIVE BRAINLIEST
Answer:
3x+7=y
Step-by-step explanation:
If the point (-1-5) is reflected across
x-axis, whot aro tho coordinates of th
new point? ?
Answer:
-1, 5
Step-by-step explanation:
With the graph, when you switch the x axis, you have to make the additive inverse for the y. If Y, additive the X.
Find the distance across the bridge
$16 for 4 books. How much would 12 books cost?
Answer:
$48
Step-by-step explanation:
you would first need to find what the cost of 1 book is so
16 divided by 4 is 4
so 1 book is $4
then you would need multiply the cost of one book by 12
so 4 times 12 is 48
so the cost would be $48
Answer:
192
Step-by-step explanation:
times
HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS
Answer:
Do u have English version?
Step-by-step explanation:
What is the equation of this line
Answer:
Y= 2x
Step-by-step explanation:
Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.
Help please this is urgent
Answer:
1.55 = Toni(2)
1.56 = Morgan(1)
1.53 = Pat (3)
Step-by-step explanation:
Is it most to least because that is what i did?
A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?
Answer:
8 Hours
Step-by-step explanation:
First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)
Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D
To find total multiply 55 by number of hours (h) and then add 25:
Total = 55h + 25
Given the total solve for h:
465 = 55h + 25
Subtract 25 from both sides
440 = 55h
Divide both sides by 55
H = 440/55
H = 8
It was 8 hours
carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?
Answer:
Rocco mowed 1 lawn a week.
Step-by-step explanation:
If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.
Thus Rocco mowed 1 lawn a week.
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
Slope for (-5,-1) (5,0)
Answer:
(0-(-1))/(5-(-5)) = 1/10
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answer:
Step-by-step explanation:
How much cinemeters is 5 inches
Answer:
5 inches is equal to 12.7 centimeters.
Step-by-step explanation:
There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.
Answer:
12.70 cm hope it is right
Step-by-step explanation: