Answers
Answer:
[tex]\underline{ \boxed{ \underline{part \: a}}}. \\the \: required \: distance \: a part \: be \to \: \boxed{\underline {\overline{p } =79.23 \: km} } \\ \\ \underline{ \boxed{ \underline{part \: b}}}. \\ the \: bearing \: of \: \boxed{ B } \: \: from \: \boxed{ \underline{A}} \: is \to \boxed{ \underline{324 }\degree }[/tex]
Step-by-step explanation:
[tex] \underline{ \boxed{ \underline{part \: a}}}. \\ l et \: the \: required \: distance \: apart \: be \to \: \boxed{ \overline {p}} \\ let \: \boxed{ \angle \: P} \: be \: the \: angle \: of \: seperation \: between \: both \: ships :given \: by \to \\ P = (244 - 180) - (196 - 180 )= (64 -16) = \boxed{48 \degree} \\ if \: ship \: A \: and \: B \: left \: the \: port\: at \: (10:30) \: \\ then \: at \: (14 :00) \: their \: time \: interval \: would \: be \to \\ (14 : 00) - (10 : 30) = \boxed{ 3.5 \: hrs} \\ ship \: \boxed{A }\: distance \: from \: the \: port =( v \times t) = (30 \times 3.5) = \boxed{105 \: km} \\ ship \: \boxed{B }\: distance \: from \: the \: port =( v \times t) = (24 \times 3.5) = \boxed{84\: km} \\n ow........we \: cant \: do \: much \: if \: their \: are \: no \: angles \: to \: work \: with \to \\ applying \:t he \: cosine \: rule : we \: have \to \\ \cos(P) = \frac{ {a}^{2} + {b}^{2} - \overline{{p}^{2} } }{2(ab)} \\ {a}^{2} + {b}^{2} - \overline{{p}^{2} } = 2(ab) \cos(P) \\ \overline{{p}^{2} } = {a}^{2} + {b}^{2} - \{2(ab) \cos(P) \} \\ \overline{{p}^{2} } = {84}^{2} + {105}^{2} - \{2(84)(105) \cos(48 \degree) \} \\\overline{{p}^{2} } = 18,081 - 11,803.463897 \\ \overline{{p}^{2} } = 6,277.536103 \\ \overline{p } = \sqrt{6,277.536103} \\ \boxed{\underline {\overline{p } =79.23 \: km} } \\ \\ \underline{ \boxed{ \underline{part \: b}}}. \\ to \: sove \: this : we \: first \: find \: angle \: \angle \: B : by \: applying \to \\ \frac{ \sin(B) }{b} = \frac{ \sin(P) }{p} \\ p \ast \sin(B) = b \ast \sin(P) \\ B = \sin {}^{ - 1} ( \frac{ b \ast \sin(P)}{p} ) \\ B = \sin {}^{ - 1} ( \frac{ 105 \times \sin(48 \degree)}{79.230903712} ) \\ \\ B = \sin {}^{ - 1} ( \frac{ 78.030206678}{79.230903712} ) \\ \\ B = \sin {}^{ - 1} (0.9848455971) \\ \boxed{B = 80 \degree} \\ hence \ : the \: bearing \: of \: \boxed{ B } \: \: from \: \boxed{ \underline{A}} \: is \to \\ 360 - \{180 - (80 + 48 + 16) \} \\ 360 -(180 - 144 )\\ 360 -36 = \boxed{324 \degree }[/tex]
♨Rage♨
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Step-by-step explanation:
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Step-by-step explanation:
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Find the slope of the line passing through the points (-5, 7) and (-7, 1).
Answers
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
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Point (-7, 1)
Step 2: Find slope m
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de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Answers
Answer:
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Step-by-step explanation:
el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2
Answer: 2
Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2 Espero que ayude Ten un día maravilloso :)
Susan and Jayne have part-time jobs selling tickets at the theater. This week, Jayne's paycheck was twice the amount of Susan's paycheck. They both were paid $7.50 an hour, and Jayne's paycheck was $60. How many hours did Susan work this week?
Answers
Answer: 4 hours
Step-by-step explanation:
So if Jayne worked twice the amount of susans paycheck, it would be 60/2..so 30 is how much Susan has in her paycheck
Then you would divide both amounts by 7.50 because that’s how much they earn in a hour
J = 60/7.50 = 8 hours
S = 30/7.50 = 4 hours
Susan worked 4 hours
A. 35
B. 85
C. 50
D. 25
Answers
Answer: B
Step-by-step explanation:
Use the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
In this case: 120-x= 10+x+60
Simplifying it by combining like terms: 120-x=70+x
Solving by isolating the variable: 50= 2x, x=25
Now use what we know, which is that angle A is 35 degrees, and angle B is 60, to find out that the correct answer is B, 85 degrees.
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Answers
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
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$1 = 1 bottle
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1 * x = 20 * 1
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Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
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Answers
Answer:
theansweris a
Step-by-step explanation:
The line also passes through the coordinates (-1/2, 0) and (0, -1). Hence the correct equation of the graph is y < -2x − 1
Inequality graphInequality is are expressions not separated by an equal sign
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3-for-1 split. After the split, the price of one share was $39.24. What was the pre-split price per share?
Answers
======================================================
Explanation:
Let's say that the company is valued at $300 just as a simple example.
Also, let's say there are 100 shares each worth $3, so we have 100*3 = 300 as the total value of the company.
A 3-for-1 split means that for each share, it will get turned into 3 shares. So you turn in 1 share and in return you get 3 shares back. Or put another way, each share is ripped/cut into 3 equal pieces.
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------------------------
So quite simply, when we do a 3-for-1 split, we multiply the old price per share by 1/3 to get the new price per share.
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x = 3y
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x = 117.72
The pre-split price per share was $117.72
------------------------
So in short, all we did was multiply the given number (39.24) by 3.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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x = –4
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Answers
Answer:
Step-by-step explanation:
(x – 4)(x – 4) = 0.
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X=4 (D) is the answer
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Answers
y=mx+b with m being slope.
Answers 2, -1/2, and 2/3
Answer:
[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]
1.) An American tourist changed US $925 into Trinidad and Tobago currency at the exchange rate US $1.00= TT $ 4.25
a.) Calculate the amount of TT dollars he received.
b.) The tourist spent TT $ 1806.25 and changed the remaining TT dollars into American currency at the same exchange rate. Calculate the amount of US dollars he received.
2.) A bank gives two dollars and seventy-five cents in Eastern Caribbean currency (EC $2.75) for one United states dollar (US$ 1.00).
Given that 1% tax is charged on all foreign exchange transaction, calculate the amount, in E.C. currency, which a tourist receives in exchange for US $1200.00.
3.) Given that TT $1.00= EC $ 1.12
And TT $ 4.25= US $1.00
Convert (a.) TT $55.00 to EC $
(b.) EC $850.00 to US $
4.) a.) A tourist changed US $ 1200 to Trinidad and Tobago currency. Calculate the amount she received at the exchange rate US $1.00= TT $2.40
b.) Calculate the amount she would receive at the exchange rate US $1.00=TT $ 5.76
Answers
Step-by-step explanation:
1)a) 925×4.25=3931,25
b) 1806.25:4.25=425
I don't know second one.
3)a 55×1.12=61.6
b)
