Answer:
30.83 miles
Step-by-step explanation:
Distance of ship A from port is x
X²= 18²+30²
X²= 324+900
X²=1224
X=34.9857 miles
Bearing from port
Tan tita= 18/30
Tita = tan^-1 3/5
Tita= 31°
N 31° E
Distance of ship B from port is y
Y²= 27²+10²
Y²= 729+100
Y²= 829
Y=28.7924 miles
Bearing from port
Tan tita= 2.2
Tita= 69.7°
90-69.7= 20.3
N 20.3°W
Distance between the two ships is z
Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)
Z²= 2053+267.1
Z²= 2320.1
Z=48.18 miles
One fifth of 48.18
=9.63 miles
Distance of the boat is D
D/sin 60 = 34.9857/sin 100.7
D=30.83 miles
three angles are adjacent to each other and form 140.the largest angle is twice the smaller angle and the angle which is middle size is 24 more than the smallest. find the angles
Answer:
Smallest: 29, Middle: 53, Largest: 58
Step-by-step explanation:
We can represent the angles in this problem using an equation.
We'll use x to represent the smallest angle, and work out other ways to represent the others.
As the largest angle is twice that of the smaller angle, we can represent the largest angle as 2x as 2x is two times x.
The middle angle is 24 more than the smallest, so we can represent that one as x + 24, since it is 24 more than the smallest.
Now we have our angles all represented with x:
Smallest angle = x
Middle = x+24
Largest = 2x
We know that they all add together to 140 so our equation is:
x+2x+(x+24) = 140
Now we can solve for x!
We can remove the brackets (addition does not change the terms) and combine the terms:
x+2x+x+24=140
4x+24=140
Next we move the 24 to the other side so we can solve for x:
4x + 24 - 24 = 140 - 24
4x = 116
Finally we divide both sides by 4:
x=29
The smallest angle is 29!
Now we can use our representations to find the other angles:
Middle angle = x+24, therefore it is 29+24 = 53
Largest angle = 2x therefore it is 2*29 = 58
58+53+29=140 so we have successfully worked out our angles!
Hope this helped!
Subtract.
Enter your answer, in simplest form, in the box.
-3 3/8 - 7/8
Answer:
The answer is
[tex] - \frac{17}{4} \: \: or \: \: - 4 \frac{1}{4} [/tex]Step-by-step explanation:
[tex] - 3 \frac{3}{8} - \frac{7}{8} [/tex]First of all convert the mixed number to an improper fraction
We have
[tex] - 3 \frac{3}{8} = \frac{27}{8} [/tex]So we have
[tex] - \frac{27}{8} - \frac{7}{8} [/tex]Since they have the same denominator we can subtract them directly
We have
[tex] - \frac{27}{8} - \frac{7}{8} = - \frac{34}{8} [/tex]Reduce the fraction with 2
We have the final answer as
[tex] - \frac{17}{4} \: \: or \: \: - 4 \frac{1}{4} [/tex]Hope this helps you
Range of value, solve for x, 2x-15
Answer:
3
Step-by-step explanation:
Set the denominator in
3
x
2
−
2
x
−
15
equal to
0
to find where the expression is undefined.
x
2
−
2
x
−
15
=
0
Solve for
x
.
Tap for more steps...
x
=
5
,
−
3
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
−
∞
,
−
3
)
∪
(
−
3
,
5
)
∪
(
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≠
−
3
,
5
}
If 5 + 6i is a solution of a quadratic equation with real coefficients, then_______ is also a solution of equation.
Answer:
Step-by-step explanation:
complex roots always occur in pairs and are conjugate of each other.
second root=5-6i
I need to get slope intercept form
One side of a triangle is 8 feet longer than the second side. The third side is 4 feet longer than the second side. The perimeter of a triangle is 36 feet. Find the length of each side.
Answer:
The second side is 8.
The third side is 12.
The last side is 16.
Step-by-step explanation:
The third side is 12 because it is 8+4. Given these facts, it is 20 feet so far. And the last side of the triangle is 16, for it is 8+8. So, 16+20 is 36. Hope thsi helped.
the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers
Answer:
It would last for 54 days.
Step-by-step explanation:
After 15 days 200 soldiers leaved.
Soldiers Food for days
1200 ↓ 45
1000 ↑ x (let)
Arrows show the opposite variation to each other
1200 x
1000 = 45
Or, x = 1200×45
1000
= 54 days.
- m(2m + m2); m =
-4
Answer:
-(-4)(2×-4+(-4×2).
4(-8+(-8)).
4(-16).
= -64.
Answer:-64
Step-by-step explanation:
-4(2×4+4×2)
-4(8+8)
-32-32=-64
If you’re good at algebra could somebody help me please?
Answer:
a). f(0) = 7
b). f([tex]\frac{1}{3}[/tex]) = 6
c). f(-5) = 22
d). x = 9
Step-by-step explanation:
The given function is f(x) = -3x + 7
a). For x = 0
f(0) = -3(0) + 7
= 0 + 7
= 7
b). For x = [tex]\frac{1}{3}[/tex]
f([tex]\frac{1}{3}[/tex]) = [tex](-3)(\frac{1}{3})+7[/tex]
= -1 + 7
= 6
c). For x = (-5)
f(-5) = -3(-5) + 7
= 15 + 7
= 22
d). For f(x) = (-20)
-20 = -3x + 7
3x = 20 + 7
3x = 27
x = 9
The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times should jennifer except to roll a number less than 3
Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
What is 21x+6 solve for x
Answer:
[tex]x = - \frac{2}{7} [/tex]
Step-by-step explanation:
[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]
•you divide both sides by 21 to leave x alone
(5 points)
You randomly pull a rock from a bag of rocks. The bag has 3 pink
rocks, 1 green rock, 4 blue rocks, and 1 black rock.
What is the probability of not drawing a speckled or a yellow rock?
Answer:
100%
Step-by-step explanation:
there are no speckled or yellow rocks so you have a 100% chance of not drawing them
100%
Since there aren't any speckled or yellow rocks it isn't possible to draw them.
[(8-6 x 7]-3 can you guys tell me what's the answer?
Answer:
the answer is 11
Use the following information to answer questions .
A purchasing unit for a state government has found that 60% of the winning bids for office- Cleaning contracts come from regular bidders, 30% from occasional bidders, and 10% from first- uime bidders. The services provided by successful bidders are rated satisfactory or unsatisfactory anter one year on the job. Experience indicates that 90% of the jobs done by regular bidders are satisfactory, as are 80% of the jobs done by occasional bidders and 60% of the jobs done by first- time bidders.
1. What is the probability a job will be done by a first-time bidder and be satisfactory?
a. 0.06
b. 0.09
c. 0.10
d. 0.60
2. What is the probability that a job will be satisfactory?
a. 0.54
b. 0.60
c. 0.84
d. 0.95
3. Given that a job is satisfactory, what is the probability that it was done by a regular bidder?
a. 0.5778
b. 0.6141
c. 0.6429
d. 0.9000
Answer:
1
The correct option is A
2
The correct option is C
3
The correct option is C
Step-by-step explanation:
From the question we are told that
The proportion of the winning bid from a regular bidder is [tex]P(R) = 0.60[/tex]
The proportion of the winning bid from a occasional bidders is [tex]P(O) = 0.30[/tex]
The proportion of the winning bid from a first- time bidders is [tex]P(F) = 0.10[/tex]
The proportion of satisfactory jobs done by a regular bidders is [tex]P(R|S) = 0.90[/tex]
The proportion of satisfactory jobs done by a occasional bidders is [tex]P(O|S) = 0.80[/tex]
The proportion of satisfactory jobs done by a first- time bidders is [tex]P(F|S) = 0.60[/tex]
Generally the probability that a job will be done by a first-time bidder and be satisfactory is mathematically represented as
[tex]P(F n S) = P(F) * P(S|F)[/tex]
=> [tex]P(F n S) = 0.10 * 0.60[/tex]
=> [tex]P(F n S) = 0.060[/tex]
Generally the probability that a job will be satisfactory is mathematically represented as
[tex]P(S) = 0.60 * 0.90 + 0.30 *0.80+ 0.10*0.60[/tex]
=> [tex]P(S) = 0.84 [/tex]
Generally given that a job is satisfactory, what is the probability that it was done by a regular bidder is mathematically evaluated as
[tex]P( S | R) = \frac{0.90* 0.60}{0.60}[/tex]
[tex]P( S | R) = 0.6429[/tex]
a) Let U = {1,2, ..., 9} be the universal set, and let
A = {1, 2, 3, 4, 5},
C= {5, 6, 7, 8, 9), E= {2,4,6,8},
D= {1,3,5,7,9), F = {1,5,9}.
B = {4, 5, 6, 7},
Find:
ii) (A/E)^c
iii) (BnF) U (CnE)
Answer:
B= {4,5,6,7,} is the answer.
it is difficult ☹️ questions
if f(x)=3x^2-4 and g(x)=5x+1, find fog(4) and gof(4)
. Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450
calories on the elliptical machine, Elijah switched to the treadmill. If he is burning 12.5 calories
per minute on the treadmill, find the total number of calories he will have burned during his
workout if he spends 30 minutes on the treadmill.
Answer:
375
Step-by-step explanation:
30*12.5 is equal to 15*25
15*25= 375
The total number of calories he will have burned during his workout if he spends 30 minutes on the treadmill will be 375 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 calories on the elliptical machine, Elijah switched to the treadmill.
The number of calories burnt will be calculated below,
30 x 12.5
15 x 25
15 x 25= 375 calories
To know more about an expression follow
https://brainly.com/question/15815151
#SPJ2
6(4.5x-12)=9
A. X= 0.6
B. x = 28
C. x= 3
D. x= 3.3
Answer:
Step-by-step explanation:
27x - 72 = 9
27x = 81
x = 3
answer is C
PLEASE I really need help
Which properties of equality are used in the example shown on the left? Check all of the boxes that apply.
Answer:
Addition Property and substitution property
Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75
Hey there! I'm happy to help!
[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.
In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.
So, we divide 9/25 by 3/5, giving us 3/5.
Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.
Have a wonderful day! :D
A class of 33 students elected a class treasurer. There were 11 votes for Candidate A and 15 votes for Candidate B. The remaining students did not vote. Which expression gives the percent of voters who voted for Candidate A?
Answer:
[tex]\frac{11}{11+15}[/tex] * 100
Step-by-step explanation:
The voters would be 11+15 and since there were 11 votes for A, that is the equation you should use.
Which ordered pair comes from the table?
Answer:
d
Step-by-step explanation:
Which ordered pair comes from the table?
I'm not too sure on this. I need help ASAP, please and thank you.
Answer:
25
Step-by-step explanation:
The hypotenuse of a right triangle is 10 inches long. One of the legs is 2 inches longer than the other one. If x is the length of the shorter leg, what is the equation
Answer:
The equation is
X²+2x-48 = 0
Shorter one is 6 inches
Other side= 8 inches
Step-by-step explanation:
The equation for a right angle triangle normally is
A² = B² + C²
Where A = hypotenuse
Then B and C are the order sides of the triangle.
This time
Hypotenuse= 10 inches
The shorter one is X
While the other one is X+2
The equation
10²= x² +(x+2)²
100= x² + x² + 4x +4
100 - 4 = 2x² +4x
96= 2x² +4x
48 = x² +2x
X²+2x-48 = 0
Solving for x
X² +8x-6x-48= 0
X(x+8)-6(x+8)=0
(X-6)(x+8)= 0
X= 6 or x= -8
Definitely x is posiy
So x= 6
Shorter one is 6 inches
Other side= 6+2= 8 inches
Solve x − 2y = 3 for x..
Answer:
[tex]x=2y+3[/tex]
Step-by-step explanation:
[tex]x-2y=3[/tex]
To get x, first, we must add 2y on both sides.
[tex]x-2y+2y=3+2y[/tex]
Now that we added, we received our answer!
[tex]x=2y+3[/tex]
Hope this helps!
Answer:
x=3+2y
Step-by-step explanation:
Add 2y to both sides of the anwser
x-2y=3
+2y +2y
x=3+2y
There you go
Colton and his children went into a movie theater and he bought $48.50 worth of bags of popcorn and candies. Each bag of popcorn costs $5.50 and each candy costs $3.50. He bought a total of 11 bags of popcorn and candies altogether. Determine the number of bags of popcorn and the number of candies that Colton bought.
Answer:
5 bags of popcorn and 6 candies.
Step-by-step explanation:
(5 * $5.50) + ($3.5*6) = $48.5
PLEASE HELP SKDKD KD
Answer:
A and B?
Step-by-step explanation:
Solve (2^2x+1)-9(2^x)+4=0
x₁ = - 1
x₂ = 2
Step-by-step explanation:2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0
2²ˣₓ2 - 9ₓ2ˣ + 4 = 0
2ˣ = n
2n² - 9n + 4 = 0
2n² - n - 8n + 4 = 0
n(2n - 1) - 4(2n - 1) = 0
(2n - 1)(n -4) = 0
2n - 1 = 0 => n₁ = 1/2
n - 4 = 0 => n₂ = 4
2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1
2ˣ = 4 => 2ˣ = 2² => x₂ = 2
Mr.wilkins deposited $2,500 in a new account at his bank . •the bank pays 6.5% interest compounded annually on this account •mr.wilkins makes no additional deposits or withdrawals Which amount is closest to the balance of the account at the end of 2 years
Answer:
Step-by-step explanation:
$2,662.50