Answer:
They are parallel
Step-by-step explanation:
Find slope of point A
(-3,4), (1,2)
2-4=-2 1-(-3)=4
slope of a= -2/4 or -1/2
Find slope of point B
(6,2), (8,1)
1-2=-1, 8-6=2
slope of b= -1/2
Both have different slopes, and it can't be perpendicular because they have different denominator values.
Answer:
Step-by-step explanation:
(-3,4) (1,2)
difference is (y2 - y1) /( x2 - x1)
-2 / -4
-1/2 is the slope
(6,2) (8,1)
same as the last
-1 / 2
these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.
A boat heading out to sea starts out at Point AA, at a horizontal distance of 968 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 7^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
As the distance from the lighthouse, LH, increases, the angle of elevation,
reduces.
The distance from point A to point B is approximately 1,269.9 feet.Reasons:
The distance of point A from the light house = 968 feet
Angle of elevation from point A to the lighthouse = 7°
Angle of elevation from point B to the lighthouse = 3°
Required:
The distance from point A to point B.
Solution:
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]
Which gives;
[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]
Height to the lighthouse = tan(7°) × 968 feet ≈ 118.86 feet
From point B, we have;
[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]
Therefore;
[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]
Therefore;
Distance from A to B = D
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet
The distance from point A to point B, D ≈ 1,269.9 feet
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Answer:
Figure a) 2
figure b) 4
figure c) 5
Step-by-step explanation:
can someone help me with this
Answer: i think you should label it with numbers first
maybe??
Step-by-step explanation:
Miguel bought 8 equally priced pens for $3.84.
How much will 15 of these pens cost?
Answer:
$7.20
Step-by-step explanation:
If 8 pens cost $3.84, we need to find out how much ojne pen costs.
To find out the cost of one pen we need to divide $3.84 by 8.
$3.84 / 8 = $0.48
1 pen cost $0.48
We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.
$0.48 x 15 = $7.20
15 pens cost $7.20
how many solutions are there for 2x−5=8x+7−6x
Answer:62
Step-by-step explanation:
2 times 5=10-5=5
8 times 7=56+7= 63-6=57+5=62!
No solution. hope this helps
Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.
Answer:
Step-by-step explanation:
r = st------------Other correct expressions:
t = r/s
s = r/t
------------------
Choices
1) t = s/r No
2) t = rs No
3) s =r/t Yes
4) s = rt No
The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.
Given :
Equation is [tex](r = st)[/tex].
The following steps can be used in order to determine the equation that is equivalent to the given equation:
Step 1 - Write the given equation.
[tex]r = st[/tex] --- (1)
Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.
Step 3 - Now, divide 't' on both sides in the equation (1).
[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]
Therefore, the correct option is C).
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Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing
Answer:
13 cm
Step-by-step explanation:
The scale of the drawing was 1 centimeter : 4 meters.
x cm : 52 m Divide by 4
13 cm : 52 m
0.36 as a standard form
Answer:
0.36 x 10⁰Step-by-step explanation:
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
$0.55
$0.60
$0.70
$0.75
Answer:
0.60 cents
Step-by-step explanation:
Answer: 0.60
Step-by-step explanation:
113 + 377 = 117 + _
Pls answer guys.
Answer:
373
Step-by-step explanation:
113+377=490
490-117=373
answer:
=117+373
please help meeee, thank youuuu
Answer:
45
Step-by-step explanation:
I think so i dont know
Answer:
45
Step-by-step explanation:
Just do the regular number sequence (1-44) but add 1 since this specific sequence starts with 2.
Hope this helped! ^^PLS HELP SO CONFUSED POSSIBLE BRANLIEST
The figure below shows the letter Z and four of its transformed images—A, B, C, and D:
A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
Which of the four images was formed by a reflection of the letter Z?
A
B
C
D
Answer: The correct answer is A.
Step-by-step explanation: The answer is A, because a reflection would be reflected, therefore it is on the right side of the graph and the Z is facing the other way as if it were a literal reflection.
A
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cannot decide which of two washing machines to buy. The selling price of each is $. The first is marked down by %. The second is marked down by % with an additional % off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.
Step-by-step explanation:
M.) A typical tip in a restaurant is 15% of the
total bill. If the bill is $125, what would the
typical tip be?
f(x) is graphed below. If g(x)=f(x+2)-4, what are the roots of g(x)?
Answer:
fortnit 90s
Step-by-step explanation:
crank and c until u get too 90 height
Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number
Answer:
2(y-2) is greater then or equal to 16
Step-by-step explanation:
there were 8000 people at a festival. people bought their tickets online, by phone, or in person.based on a random sample of people at the festival, 60% bought their tickets online, 15% bought their tickets by phone, and the rest bought their tickets in person
Answer:
People who bought tickets = 100%
= 8000
People who bought their tickets in person = (100%-60%-15%) × 8000
= 2000
The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.
The number of the tickets will be calculated as below:-
Total tickets = 8000
Online tickets = 60% of 8000 = 8000 x 0.6 = 4800
By phone = 15% of 8000 = 8000 x 0.15 = 1200
In-person = 25% x 8000 = 0.25 x 89000 = 2000
Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
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PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
Hypotenuse: 20√2
Acute Angle measurements: 45
Step-by-step explanation:
Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.
By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.
Note that the leg side measures 20. Multiply:
20 * √2 = 20√2.
Hypotenuse: 20√2
Acute Angle measurements: 45
What is the area of the parallelogram?
Answer:
24cm
Step-by-step explanation:
because 6 x 4 = 24 centimeters
Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?
Answer:
distribute parenthesis
Step-by-step explanation:
6(2x + 1) = 4x - 5 ← distribute parenthesis on left side
12x + 6 = 4x - 5 ( subtract 4x from both sides )
8x + 6 = - 5 ( subtract 6 from both sides )
8x = - 11 ( divide both sides by 8 )
x = - [tex]\frac{11}{8}[/tex]
Compare the values.
9 x 10^2 is
?
times as much as 3 x 10^-2.
Answer:
Hopefully this explains o_O, also Merry Christmas!
Step-by-step explanation:
9 x 10^2 = 9 x 100 = 900
3 x 10^-2 = 3 x 1/100 = 0.03
Ratio of 900:0.03
The first one is 30000 bigger than the second
Which ordered pair is a solution of the equation?
y + x = 3(x – 4)
Find the unit rate.
289 miles on 10 gallons
The unit rate is( )miles per gallon
Answer:
28.9 mpg
Step-by-step explanation:
Divide the miles by the gallons. 289 / 10 = 28.9
Twelve is sixteen less than four times a number. Write it as a mathematical statement.
Answer:
12=4x-16
x would represent the unknown number.
Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done
Answer:
1.11 feet
Step-by-step explanation:
i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11
Prove that the equation x^2+px-1=0 for every p has two different solutions
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
HELP HURRY PLS
What is the equation of this line?
A. y= 3/2x -2
B. y=2x+2/3
C. y=2/3x-2
D. y= -2x+3/2
Answer:
The answer is C, y = 2/3x -2
Step-by-step explanation:
Use the rise over run strategy on linear functions such as this one
7.098/09.977x979.97878
Answer:
697.19248074 is the answer
A set of 6 art books costs $241.25. A copy of one of the books, bought separately, costs $38.25. About how much less is the cost of the 6 books if you buy the set?
The cost of the 6 books if you buy the set is $11.75 less.
The given parameters:
Total number of books, n = 6Cost of the books, c = $241.25Cost of one book, = $38.25The total cost of the 6 books when bought separately is calculated as follows;
Cost = 6 x $38.25
Cost = $229.5
The difference in price is calculated as follows;
= $241.25 - $229.5
= $11.75
Thus, the cost of the 6 books if you buy the set is $11.75 less.
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Which equation best fits the graphed data?
6+
4+
2+
+X
-6
-4
- 2
2
6
N
-2+
.
.
-4
-6+
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation: