Answer:
d= 2√10
Step-by-step explanation:
y= 3x - 5
3x - y - 5=0
d= | 3* 7 +(-1) * (-4) + (+5) |
________________
[tex]\sqrt{3^{2} } + (-1)^{2}[/tex]
d = | 20 | / [tex]\sqrt{10}[/tex]
d = 20 / [tex]\sqrt{10}[/tex]
d = 2[tex]\sqrt{10}[/tex]
A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.
Answer:
the answer is 250
Step-by-step explanation:
Answer:
10.036
Step-by-step explanation:
Remark
Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).
At the point (0,50) draw a horizontal line to (200,50)
Join the point (200,50) to (0,0)
What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.
That angle is the same as the angle of elevation.
The horizontal line is 200 feet.
The vertical line is 50 feet
Formula
Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25
Solution
tan-1(0.25) = 14.036
Conclusion
The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation. so the angle you found and the angle of elevation are the 2 angles defined by the z.
NEED HELP ASAP PLZZZZ
simple math my tiny brain can’t understand PLEASE HELP
Answer:
if im not mistaken its 143
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
Step-by-step explanation:
20.6 feet
hope it helps !
Answer:
c
Step-by-step explanation:
What is the least number of degrees you could rotate a regular pentagon (5 equal side lengths) around its center so that it appears to be unchanged?
Answer:
Well, I'm not the smartest person, nor do I exactly know what you mean, but I have a wild guess that the least you could rotate it is 100 degrees.
Step-by-step explanation:
Considering the fact that it's sides are all equal, you could compare this to a square, which also has equal sides. Its angles are equal, too, so you could measure it's angles (100 degrees) and turn it that exact amount,
I hope this helps you, like I said, I don't exactly know what you are talking about, I am not studying that sort of thing yet.
I dont know how to find out if this is a solution or not
Answer:
im not exactly sure what ur looking for but your answer might be [tex]\:f\left(x\right)=4[/tex] or [tex]-2<x<3[/tex] fo #1 and #2 might be [tex]f\left(x\right)=-5[/tex] or [tex]-1<x<1[/tex] but not positive sooo
Step-by-step explanation:
hope this helps :)
Giving BRAINLEST to the correct answer I need atleast 60 percent on this test!
Answer:
A, C, D, and F all apply.
Step-by-step explanation:
Simply divide the numerator by the denominator to calculate the rational number.
5/4 = 1.25
15/-12 = -1.25, not 1.25
15/12 = 1.25
-5/-4 = 1.25
-5/4 = -1.25, not 1.25
-15/-12 = 1.25
I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day! :)
Which statement identifies a mistake Anna made if any
Answer:
she didn't make a mistake.Her answer is correct
Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?
Answer:
Where,
x: he number of tickets sold
y: the amount of money collected for the tickets
The domain of the function must be:
Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
The answer is the first table that represents viable solutions for y = 5x.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The given function is y = 5x
Where x is the number of tickets sold for the school play
And y is the amount of money collected for the tickets.
For this case we have the following equation:
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
Let's check all of the tables:
Table 1:
x = 0, y = 0 ⇒ 0 = 5 · 0 ⇒ 0 = 0
x = 10, y = 50 ⇒ 50 = 5 · 10 ⇒ 50 = 50
x = 51, y = 255 ⇒ 255 = 5 · 51 ⇒ 255 = 255
x = 400, y = 2000 ⇒ 2000 = 5 · 400 ⇒ 2000 = 2000
Since all calculations from the first table are correct.
We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
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Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?
Answer:
2 Large doors
Step-by-step explanation:
Step 1
We convert 10 feet to inches
1 foot = 12 inches
10 feet = x
Cross Multiply
x = 10 × 12 inches
x = 120 inches
Doors for the small cabinets are 19.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets.
The length of Large doors = 2.7 × 19.5 inches
= 52.65 inches
Hence, the number of large doors can be cut from a board that is 10 feet long(120 inches long) is
= 120 inches/52.65 inches
= 2.2792022792 doors
Approximately = 2.3 doors
However, the number as to be in whole number, hence, only 2 Large doors can be cut from a board that is 10 feet long(120 inches long)
HELP PLS IM STUCK TY
Answerit is the 2nd one i think
Step-by-step explanation:
Suppose you deposit 2500 in a savings account that pays you 5% interest per year A. How many years will it take for you to double your money? B. How many years will it take for your account to reach 8,000?
Answer: I don’t get it
Step-by-step explanation:
8,000 or 08,080?
What is the lcm of 11 and 14
Answer:
154
Step-by-step explanation:
Solve by using elimination. Express your answer as an ordered pair.
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
1. Find the volume of the shape below:
3 i
5.8 in
12 in
Answer:
208.8 inches is the answer
Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2
How to calculate the volume of a prism-like element
Prisms are tridimensional elements whose volume is equal to the product of area of its base, in square inches, and its height, in inches. The base of the shape is certainly a rectangle, whose area is equal to the product of its width and length, both in inches.
Therefore, the volume of shape is:
V = (12 in) · (5.8 in) · (3 in)
V = 208.8 in³
Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2
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Find the value of each trigonometric ratio.
MARKING POEPLE AS BRIANLIST ALL DAY if you answer the question and it is right thank u
Answer: AAS that's what it should be
Step-by-step explanation:
Please help! thanks !!!!
Answer:
I believe that D is the answer.
Step-by-step explanation:
The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.
(For the X axis, you need to simplify.)
1. What is the value of s?
A. 8
B.16
C.16|2
D.32
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[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]
Inverse both sides
[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]
[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]
Multiply sides by 16√3
[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]
[tex]s = 32[/tex]
Thus the correct answer is Option D .
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factor 1/6 out of 1/6x+1/6
Answer:
1/6(1x+1)
Step-by-step explanation:
what is 2/5 - 250.00
Answer:
-249.6
Step-by-step explanation:
Convert 2/5 to 0.4. Then subtract 0.4 and 250 to get -249.6
Hope this helped! :)
b. For
y = 6x + (-2),
what is y when
X=-1
Answer:
y=-8
Step-by-step explanation:
y=6x+(-2)
y=6(-1)+(-2)
y=-6+(-2)
y=-8
The cost price of an article is Rs 8888 and its loss is Rs 999. Find the selling price of that
article.
Answer:
Step-by-step explanation:
7889
Answer:
Cost price = Rs. 280
Other expenses = Rs. 20
Total Cost =280+20=300
Selling Price = Rs. 337.50
Profit =337.50−300=37.50
Profit %= 37.5/300*100=12.5%
×100=12.5%
Step-by-step explanation:
Which expression is equivalent to 1/5 divided by 1/2?
A- 1/5 x 1/2
B- 1/5 x 2/1
C - 5/1 x 2/1
D 5/1 x 1/2
PLZZ HELP I NEED IT NOWW
please help! One easy khan question! <33
Answer:
root 37 is write answer
what are some ways you can make a rectangle 10,000 cm squared (I NEED A AWNSER QUICK)
Answer:
2 longer sides would be 4000 each, so that's 8000 total
and the 2 shorter sides could be 1000 each, so that's 2000 total
8000+2000=10,000
Step-by-step explanation:
please help i need it now
2 drop down :900 or 1,900
7.(03.02) What is the factored form of 3x2 + 5x – 12? (1 point) (3x + 3)(x + 4) (3x - 1)(x – 4) (3x + 4)(x - 3) (3x – 4)(x + 3)
Answer:
Hope it can help you... .
If u understand my answer, you can mark me as a brainlist.....
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor the first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (3x - 4)(x + 3) ← in factored form
You purchase a music store for $115,000. The estimated monthly revenue is $5500 and you expect monthly costs are $3200. Let R represent revenue during the first t months . Write a linear model for R
9514 1404 393
Answer:
R = 5500t
Step-by-step explanation:
The estimated monthly revenue is said to be 5500 per month. Then for t months, the revenue R will be ...
R = 5500t
_____
Additional comment
We expect costs to be C = 3200t, so profit is ...
P = R -C
P = 5500t -3200t
P = 2300t
At that rate, it will be 50 months before enough profit is earned to pay for the initial cost of the store.
What is the rise between the points (0,0) and (8, 12)?
Answer:
8/12 or x+8 y+12
Step-by-step explanation:
The rise between the points (0,0) and (8,12) is 12.
What is the slope?The ratio of the vertical and horizontal changes between two points on a surface or a line is known as the slope.
Rise is the difference of y-coordinates of the points.
Therefore, the rise between the points (0,0) and (8,12) is:
12 - 0
=12
Hence, the rise between the points (0,0) and (8,12) is 12.
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