Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast. At what location is the vessel in distress located? Describe how you arrived at your conclusion using compete sentences. You must show all work in order to receive credit.
The coordinates of Ship A and B are missing, so i have attached it
Answer:
The vessel in distress is located at the coordinate (1, 2)
Step-by-step explanation:
The coordinates attached shows that;
Coordinates of A are (3, 4) while that of B are (1, 1).
We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.
Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)
Find the value of b. Then find the angle measures of the pentagon.
6
(b +45)
(2b - 90)
90°
Sum of angle
measures: 540°
The sum of angles in a shape is the addition of all angles in the shape. The value of b is 90.
From the attached pentagon, we have:
[tex]Sum = 540^o[/tex] -- sum of angles.
This means that:
[tex]Sum = b + \frac 32b + 2b - 90 + 90 + b + 45[/tex]
Collect like terms
[tex]Sum = b + \frac 32b + 2b + b- 90 + 90 + 45[/tex]
Evaluate like terms
[tex]Sum = \frac{11}2b +45[/tex]
Substitute 540 for sum
[tex]\frac{11}2b +45 = 540[/tex]
Collect like terms
[tex]\frac{11}2b =-45 + 540[/tex]
[tex]\frac{11}2b =495[/tex]
Isolate b
[tex]b =495 \times \frac 2{11}[/tex]
[tex]b =\frac {990}{11}[/tex]
[tex]b =90^o[/tex]
Hence, the value of b is 90.
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Which of the following statements about sets of numbers is true?(1 point) All integers are whole numbers. All irrational numbers are integers. All rational numbers are natural numbers. All integers are rational numbers.
Answer:
lol three of them are true!!hahhahahhah
the statement which is wrong is
~ All rational numbers are natural numbers.
Answer:
All integers are rational numbers
Step-by-step explanation:
Find the coordinates of the midpoint of the segment given its endpoints. A(5, 8) and B(-1, -4)
Answer:
(2,2)
Step-by-step explanation:
(5+(-1))/2. (8+(-4))/2
4/2 4/2.
(2,2)
What is 3 3/5x(-8 1/3)=
Answer:-30
Step-by-step explanation:
where does the parentheses go in 3+6 ×9+3 to made a total of 84
Answer:
Around the 3 + 6:-
(3 + 6) x 9 + 3
Step-by-step explanation:
(3 + 6) x 9 + 3
= 9 x 9 + 3
= 84.
Answer:
[tex](3+6) \cdot 9+3 = 9 \cdot 9 + 3 = 81 +3 = 84[/tex]
Daniel hosted a party in which 15 to 45 people could attend and he charged $7 per person for admission. What is the range of admission with respect to the number of people that attended the party?
A. (105,315)
B. [15,45]
C. [105,315]
D. (15,45)
Answer:
c. [105,315]
Step-by-step explanation:
please someone help me...
Answer: see proof below
Step-by-step explanation:
Use the following Sum Identities:
cos (A + B) = cosA · cosB - sinA · sinB
sin (A + B) = sinA · cos B - cosA · sinB
Use the Unit Circle to evaluate the following:
cos 30 = √3/2 sin 30 = 1/2
cos 45 = √2/2 sin 45 = √2/2
cos 120 = -1/2 sin 120 = √3/2
cos 240 = -1/2 sin 240 = -√3/2
cos 315 = √2/2 sin 315 = -√2/2
cos 330 = √3/2 sin 330 = -1/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \dfrac{\cos 285+\cos 345}{\sin 435-\sin 375}[/tex]
[tex]\text{Expand:}\qquad \quad \dfrac{\cos (240+45)+\cos (315+30)}{\sin (315+120)-\sin (330+45)}[/tex]
[tex]\text{Sum Identity:}\qquad \dfrac{\cos 240\cdot \cos 45-\sin 240\cdot 45+\cos 315\cdot \cos 30-\sin 315\cdot 30}{\sin 315\cdot \cos 120+\cos315\cdot \sin 120-(\sin330\cdot \cos45+\cos 330\cdot \sin 45) }[/tex]
[tex]\text{Unit Circle:}\quad \dfrac{(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{-\sqrt3}{2}\cdot \frac{\sqrt2}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{3})-(\frac{-\sqrt2}{2}\cdot \frac{1}{2})}{(\frac{-\sqrt2}{2}\cdot \frac{-1}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{2)}-(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{\sqrt3}{2}\cdot \frac{\sqrt2}{2})}[/tex]
[tex]\text{Simplify:}\qquad \dfrac{-\sqrt2+\sqrt6+\sqrt6+\sqrt2}{\sqrt2+\sqrt6+\sqrt2-\sqrt6}\qquad =\dfrac{2\sqrt6}{2\sqrt2}\qquad =\sqrt3[/tex]
LHS = RHS: [tex]\sqrt3 = \sqrt3\qquad \checkmark[/tex]
Which expression means 9 less than twice n?
O A. 2n -9
B. 2 (n - 9)
C. 9 - 211
D. 9–2+n
E. (9 - 2)
Answer:
The answer is A, 2n - 9
Step-by-step explanation:
9 less than (-9) twice n (2n)
2n - 9
find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )
Answer:
Below
Step-by-step explanation:
Let y' = mx + b be the equation of the second line
● m is the slope
● b is the y-intercept
The lines are parallel so they have the
same slope.
● y' = 3x + b
The second line crosses the point with the coordinates (2,11)
Replace y' by 11 and x by 2 to find b
● 11 = 3×2 + b
● 11 = 6 + b
Substract 6 from both sides
● 11 - 6 = 6 + b -6
● b = 5
So
● y' = 3x + 5
solve for x need help asap
Answer:
X = 12
Step-by-step explanation:
(4x+2) = 50 bc the angles are the same
subtract 2
4x=48
divide by 4
x=12
what is the solution to this equation
x+8=-3
Answer:
x+8=-3.
x=-3-8.
x= -11.
Answer:
x=−11
Step-by-step explanation:
Find all the complex roots of the equation x4 − 16 = 0.
Answer:
4+16=0
4=−16=162
2=±4
Case 1 2=+4
=±2√
√=±(12√+12√)
=±2‾√+2‾√
Case 2 2=−4=43
=±23/2=±2()1/2
∵√=±(12√+12√)
=±(2‾√+2‾√)
So in all,
=2‾√+2‾√
=−2‾√+2‾√
=2‾√−2‾√
=−2‾√−2‾√
Let √=+
Squaring both sides, we have
=(+)2
0+1=2−2+2⟹
2−2=0(1)
2=1
=12
Plugging in (1) … ⟹
2−1(2)2=0
4=14
2=12
∴=±12‾√
∴=±12‾√
∴√=+=±(12+12)
This can also be shown as below
√=12+12
Or
√=−12−12 \
40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. what percent of 1 spig is 5 spugs?
Answer:
5 spugs is 560% of 1 spig
Step-by-step explanation:
a - spig
b - speeg
c - spoog
d - spug
40% of one spig is a spoog: 40%a = c
25% of a speeg is a spoog: 25%b = c
70% of a speeg is a spug: 70%b = d
what percent of 1 spig is 5 spugs?: x%a = 5d
40%a = c and 25%b = c
40%a = 25%b
[tex]b=\frac{40\%a}{25\%}=1.6a[/tex]
d = 70%b = 70%•1.6a = 112%a
x%a = 5d
x%a = 5•112%a
÷a ÷a
x% = 560%
(50 points!) Whats 7x + 5z(x-z) ÷ 9y, when x = 5, z = 8, and y = 23. Whoever Gives me an answer AND REALLY GOOD EXPLANATION FIRST gets a free brainliest!
Answer: First we will substitute the numbers given for the variables.
Then we will use order of operations to simplify.
7x + 5z(x - z) ÷ 9y would be equal to
7(5) + 5(8) * (5 - 8) ÷ 9(23)
Simplify:
35 + 40(-3) ÷ 207
Use order of operations to multiply 40 and -3; the equation now looks like:
35 + (-120) ÷ 207
Use order of operations to divide -120 and 207; the equation now looks like:
35 + (-0.6)
Add 35 and -0.6:
34.4
The solution to this equation is 34.4.
Answer:
34.4
Step-by-step explanation:
7x + 5z(x - z) ÷ 9y
7(5) + 5(8) * (5 - 8) ÷ 9(23)
35 + 40(-3) ÷ 207
35 + (-120) ÷ 207
35 + (-0.6)
Add 35 and -0.6:
34.4
Hope this helps!
Name the decimal by writing it in word form
0.48
Answer:
forty-eight hundredths
Step-by-step explanation:
Leon and Cisco are each making snack mix. Leon’s recipe calls for 8 parts pretzels to 3 pets peanuts. Cisco’s recipe calls for 6 parts pretzels to 2 part peanuts. Which recipe has higher concentration of peanuts? ASAP 15 pts +brainliest!
Answer:
Leon's
Step-by-step explanation:
Since we're interested in peanuts, we can rewrite the ratios with peanuts first:
L: peanuts : pretzels = 3 : 8
C: peanuts : pretzels = 2 : 6 = 1 : 3 = 3 : 9
Leon's recipe has a higher proportion of peanuts. (3/8 > 3/9)
3(x+4)=7x
Solving linear equations
Answer:
x = 3
Step-by-step explanation:
To solve this equation, we can use basic algebraic techniques as illustrated.
3(x + 4) = 7x Distribute the 3.
3x + 12 = 7x Subtract 3x from both sides of the equation.
12 = 4x Rearrange the equation so the variables are on the left.
4x = 12 Divide by 4 on both sides of the equation.
x = 3
Answer:
3(x+4)=7x3x+12=7x7x=3x+127x-3x=124x=12x=12/4x=3pleas help me Solve- 8/0.5
Answer:
The answer to the question is -16.
Answeryou should get 16 as uyour answer
Step-by-step explanation: i hope it helps :)
plus u have to simplfy if necssary
what is the solution to the equation below?
2(h+8)-h=h+16
(A) No solution
(B) -8
(C) 8
(D) all real numbers
rationalize the denominator
Answer:
The answer is
[tex]\frac{84 - 31 \sqrt{6} }{30} [/tex]Step-by-step explanation:
[tex] \frac{5 \sqrt{3} - 4 \sqrt{2} }{4 \sqrt{3} + 3\sqrt{2} } [/tex]To rationalize the denominator multiply both the numerator and the denominator by
4√3 - 3√2
That's
[tex] \frac{5 \sqrt{3} - 4\sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \times \frac{4 \sqrt{3} - 3 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } [/tex]So we have
[tex] \frac{(5 \sqrt{3} - 4 \sqrt{2})(4 \sqrt{3} - 3 \sqrt{2}) }{(4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) } \\ = \frac{60 - 15 \sqrt{6} - 16 \sqrt{6} + 24 }{16(3) - 9(2)} \\ = \frac{84 - 15 \sqrt{6} - 16 \sqrt{6} }{48 - 18} \\ = \frac{84 - 31 \sqrt{6} }{48 - 18} [/tex]We have the final answer as
[tex] \frac{84 - 31 \sqrt{6} }{30} [/tex]Hope this helps you
Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g over 24g plus 8g to the second power
Answer:
The least common denominator of the expression is 72g.
Step-by-step explanation:
First, let us write the expression out mathematically
[tex]\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}[/tex]
The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Multiples of 24 = 24, 48, 72, 96, ...
The least common multiple of 9 and 24 is 72.
Then, the least common multiple of 72 and g is 72g
Hence, the least common denominator of the expression is 72g.
A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an average of 200 tickets for
each show. The company estimates that for each $0.25 increase in the price of the ticket, the average ticket sales will go down by 5 people,
Which equation could the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700?
OA. -1.25.12 - 7.50 = 0
OB -- 1.25:2 – 7.50 – 1,700 = 0
Ос. -1.252 + 7.50 = 0
OD. -1.25_2 + 7.53 – 1,700 = 0
Answer:
The answer is c.
Step-by-step explanation:
Equation which represents the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700 is equals to [tex]-1.25x^{2} +7.5x=0[/tex].
What is equation?" Equation is defined as the relation between the variables with the sign of equality."
According to the question,
'x' represents the price of the ticket
Given,
Total revenue = $1700
Current charges = $8.50
Number of average tickets sells =200
Estimate in increase in the price of each ticket = $0.25
Average sales goes down by 5 people
From the given information we get the equation,
[tex](200-5x)(8.5+0.25x)=\$1700[/tex]
⇒[tex]1700 -42.5x+50x-1.25x^{2} =1700[/tex]
⇒[tex]-1.25x^{2} +7.5x=0[/tex]
Hence, the equation for the given condition is equals to [tex]-1.25x^{2} +7.5x=0[/tex]
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what is 123 round to the nearest hundered
123 rounded to the nearest 100 is 100
h - 20
Solve for j in the literal equation
=k.
h - 20/j = k solve for j
isolate each term individually [tex]-\frac{20}{j}[/tex] then [tex]h[/tex] then [tex]-20[/tex]
[tex]h-\frac{20}{j}=k\\-\frac{20}{j}=k-h\\j=-\frac{20}{k-h}[/tex]
-7x-11x>26-x+9x
Help plis
Answwer:
x<−1
Step-by-step explanation:
Pull out like factors :
-26x - 26 = -26 • (x + 1)
Divide both sides by -26
Remember to flip the inequality sign
Subtract 1 from both sides
x < -1
Hope it helped!!!
A river discharges 4 x 106 cubic feet of water into the
Pacific Ocean each second. There are 86,400 seconds in
one day. To find the amount of water discharged each day,
a scientist multiplied 4 x 106 by 86,400 on his calculator.
The display showed:
3456E+14
Explain what 3.456E + 14 means.
OA) 3.456^14
OB) 3.456 *10^6
OC) 3.456 x 10^14
OD) 3.456 x 10^-14
Answer:
C
Step-by-step explanation:
Here, we want to know what what the display on the calculator means.
Well, the expression has to do with how scientific calculators display powers of 10.
So what this means is that the value 3.456 is raised to the power of 14.
This is a way in which the screen of the scientific calculators maximizes the space on their screens.
Perhaps, we have the result of a multiplication to the powers of 27. It would be quite funny seeing 27 zeros lying on the screen of the calculator right? isn’t it?
So the calculator makes a better way of this by just printing E 27 and this automatically means 10 raised to the power of 27
This makes our answer C
Kindly note that the + sign indicates that the power of the 10 is positive 14.
The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 920 feet of fencing available, what is the maximum possible area of the pasture
Answer:
Max Area = 105,800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
920/4 = 230 feet
So, we want a square 230 ft by 230 ft
however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.
Thus,we now have a rectangle with dimensions: 230 ft by 460 ft
Area is given by;
area = length × width
Maximum Area = 230 × 460
Max Area = 105,800 sq.ft
can you help me find this ans
Answer:
28%
Step-by-step explanation:
100%-72%
=28%
So,about 28% of the earth surface is covered by dry land.
Answer = 28%
Explanation:
If 72% = water then dry land =
100% - 72% =
28%
1 point
Given –12 = 2(_5n + 11), What would be your first step?
O Distribute the 2 times the 5n and 11
Subtract 11 on both sides
Add the 5 and 11 because they are Like Terms.
O Divide by -5