A fireboat in the harbor is helping put out a fire in a warehouse on the pier. The
distance from the barrel (end) of the water cannon to the roof of the warehouse is
120 feet, and the water shoot up 50 feet above the barrel of the water cannon.
Write a function that models the path of the water.
The answer is "parabola [tex]y =-0.0139(x-60)^2+50[/tex]", and the further calculation can be defined as follows:
Let's all describe the circumstance in an XY plane and then let the origin (0,0) indicate the parabola's initial point.The last point now, so because the diameter of the parabola is 120 feet (120, 0).It is stated that, as a result of the water shots at 50 feet just above the cannon barrel, the vertex of such a parabola shall be, as shown in the picture below, (60, 50) as a parabola is a symmetric figure.Now, we know (h,k) that the general parabolic equation[tex]y = a(x-h)^2+k[/tex][tex](h,k)=(60, 50)[/tex] the equation will thus be [tex]y=a(x-60)^2+50[/tex]Since we assume, the graph, therefore, crosses from point [tex](0,0)[/tex][tex]y =a(x-60)^2+50\\\\0=a(0-60)^2 + 50\\\\0 = 3600a + 50 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{(subtract 50 from both sides)}\\\\0 - 50 = 3600a + 50 - 50\\\\-50=3600a \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{(divide both sides by 3600)}\\\\\frac{-50}{3600}=\frac{3600 a}{3600} \\\\-0.0139 \approx a \\\\a \approx -0.0139[/tex]
Therefore, the equation of the given parabola is [tex]y =-0.0139(x-60)^2+50[/tex]
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Determine which figures are congruent to Figure A. Follow the steps given as you investigate each shape. • Make a conjecture about which figures are congruent to Figure A. • Use patty paper to investigate your conjecture. Justify your conjecture by stating how you can move from Figure A to each congruent figure by sliding. flipping, or spinning Figure A.
Answer: I think Figure D and A are congruent
Step-by-step explanation: Remember: congruent means the same (in geometry) so if im wrong. Then you could figure out for yourself which ones look the same. Good luck
There are 38 tomato plants to a flat. If there are 89 flats, find the total number of tomato plants.
Answer:
3,382 tomato plants
Step-by-step explanation:
the total number of tomato plants =
89×38 = 3,382 tomato plants
Tomatoes plants on one flat =38
Tomatoes plants on 89 flats = ?
now
= 38×89
= 3,382
Therefore Tomatoes plants on 89 flats =3,382
plz help me with this
Answer:
x = 8
Step-by-step explanation:
We can add BA and AT together to find BT since we are finding the total length and the variable x.
7x + 4x = 88
11x = 88
x = 8
Best of Luck!
calculate work by parts , (-24)+(-8)
(-32)
Step-by-step explanation:
(-24)+(-8)
= -24 -8
= -32
AB = BC
3x - 31
x + 6
Find x:
Answer: 43
Step-by-step explanation:
3x-31+ x+6
combine like terms
3x-x=2
31+6=37
now you have this:
2x-37
since you cannot divide you multiply 37x2
=74
74-37=43
Write the domain of the function using interval notation
Answer:
(-♾, 5) (5, ♾)
Step-by-step explanation:
Calculate the straight line distance between the points (-10, -7) and (-8,1).
G.2(B)
Answer:
2√(17) or about 8.2462 units.
Step-by-step explanation:
We want to determine the distance between the two points (-10, -7) and (-8, 1).
We can use the distance formula. Recall that:
[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]
Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
Calculate the straight line distance between the points (-10, -7) and (-8, 1).Answer :-
The straght line distance between the two points is 8.2462 units.[tex] \rule{200pt}{3pt}[/tex]
Solution :-
As per the provided information in the given question, we have been given that:
[tex](x_1, y_1) = (-10, -7)[/tex][tex](x_2, y_2) = (-8, 1)[/tex]To calculate the distance between the two points, we will apply the formula below:
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]
Substitute the given values into the above formula and solve for d:
[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]
[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]
Therefore :-
The straght line distance between the two points is 8.2462 units.[tex]\\[/tex]
Learn more about the distance formula at https://brainly.com/question/25841655
Have a great day! <33
PLS HELPPPP!!! Its Due today , i need helpp!! There is a sequence of rigid transformations that takes A to A’, B to B’, and C to C’. The same sequence takes D to D’. Draw and label D’ :
Answer:
Is in the attachment.
Hope it helps you
If you have any questions just ask me
If you think my answer is the best mark me as brainliest
Rigid transformation moves a shape without changing the size of the shape.
See attachment for the diagram that shows the position of D'
From the question, we have the following transformations:
[tex]A \to A'[/tex].[tex]B \to B'[/tex].[tex]C \to C'[/tex].Also:
Point D is between points B and CPoint D is closer to C than BThis means that:
After the transformation, point D' will be between points B' & C', and it will be closer to C'
See attachment for the diagram that shows the position of D'
Read more about transformations at:
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Which of the following is not a rational number?
Answer:
.54222 is not the rational no.
Step-by-step explanation:
Mark me brainliest
Answer:
The answer is squareroot 5
Step-by-step explanation:
NEED HELP NOW WILL MARK BRANLIEST
Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity (10 points)
Answer:
50Step-by-step explanation:
Quantity 3 plus the square root of negative 16 end quantity:
3 + √-16Quantity 6 minus the square root of negative 64 end quantity:
6 - √-64Multiply the two above:
(3 + √-16)(6 - √-64) = (3 + 4√-1)(6 - 8√-1) = (3 + 4i)(6 - 8i) = 3*6 - 3*8i + 6*4i - 4i*8i = 18 - 24i + 24i - 32i² = 18 - 32(-1) = 18 + 32 = 50[y^6(xy^2)^-3/3x^-3z]^-2
Answer:
-35x8y13z11
Step-by-step explanation
Which rational number equalsIf (26)x = 1, what is the value of x? 0 point 1 with bar over 1?
Answer:
rational numbers equalslf 26×1=26the value of x =26ans
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the lake, the rock's distance from the lake's surface changes at a rate of −2 inches per second. If Lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface?
Answer:
5 ft 8 in or 68 inStep-by-step explanation:
In 4 seconds the rock will be at:
2*4 = 8 in from the surfaceAdd 5 feet to this to get the required distance:
5 ft + 8 in = 5*12 in + 8 in = 68 inDistance after 8s:-
[tex]\\ \rm\longmapsto 4(-2)=-8in[/tex]
Now
Distance:-
[tex]\\ \rm\longmapsto 5-(-8)[/tex]
[tex]\\ \rm\longmapsto 5ft+8in[/tex]
1ft=12in[tex]\\ \rm\longmapsto 5ft+3/4ft[/tex]
[tex]\\ \rm\longmapsto 23/4ft[/tex]
[tex]\\ \rm\longmapsto 5.7ft[/tex]
Convert to in[tex]\\ \rm\longmapsto 5.7\times 12[/tex]
[tex]\\ \rm\longmapsto 68in[/tex]
Given the speeds of each runner below, determine who runs the fastest.
Stephanie runs 8 feet per second.
Zach runs 485 feet in 47 seconds.
Liz runs 1 mile in 540 seconds.
Adam runs 676 feet in 1 minute.
Stephanie
Zach
Submit Answer
Liz
Adam
Which expression is equivalent to 5^4. (5^-3)^2?
Answer:
0.04
Step-by-step explanation:
5^4=625
5^-3= 0.008
0.008^2=0.000064
0.000064*625=0.04
BAHC is not the answer need helppppp
Step-by-step explanation:
puzzle 1)
domain is (1,2,3,4,5)
puzzle 2)
range is (3,4,5)
puzzle 3)
domain is(-2,1,2,4)
puzzle 4)
range is (1,3)
so the answer is BEHC
A: $28,450 per yearJob B: $2,320 per month
a. Which job pays more?
b. How much more?
Mr Allen Paterson’s new car gets an average of 40 miles per gallon of gasoline How many gallons of gasoline will his car require to travel 520 miles
Answer:
13
Step-by-step explanation:
Since 1 gallon=40 miles, divide 520 by 40=13
Solve for the value of v.
Answer:
9
Step-by-step explanation:
Since it is a straight line, therefore it will always be 180°
So...
(8v +3) +105 = 180
8v + 3 + 105 = 180
8v = 180 - 108
V = 72/8
= 9
Answer:
[tex]\boxed {\boxed {\sf v=9}}[/tex]
Step-by-step explanation:
In the diagram, there are 2 angles: 105° and (8v+3)°. They are on a straight line together, so they are supplementary angles. They must add to 180 degrees. We can set up an equation.
[tex]105 + (8v+3) = 180[/tex]
We are solving for v, so we must isolate the variable. First, we can rearrange the right side and combine the like terms (the constants without a variable).
[tex]105 +8v+3= 180 \\8v + (105+3) = 180 \\8v + 108= 180[/tex]
108 is being added to 8v. The inverse operation of addition is subtraction. Subtract 108 from both sides of the equation.
[tex]8v+108-108= 180-108 \\8v= 180-108 \\8v=72[/tex]
v is being multiplied by 8. The inverse operation of multiplication is division. Divide both sides by 8.
[tex]\frac {8v}{8}= \frac{72}{8}\\[/tex]
[tex]v= \frac{72}{8}[/tex]
[tex]v=9[/tex]
v is equal to 9.
Round 78,950 to the nearest hundred
Answer:
79,000 because its in the middle
Step-by-step explanation:
The number, 78,950, rounded to the nearest hundred is: 79,000.
How to Round a Number to the Nearest Hundred?The third digit in a number represents the hundred of the number. If the number is greater than 5, round it up.
The hundred digit in 78,950 is 9, rounding it up will give us: 79,000.
Therefore, 78,950, rounded to the nearest hundred is: 79,000.
Learn more about nearest hundred on:
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No links I need the full answer of the area to this trapezoid
a farmer knows that 5 sheep produce about 25 pound of wool. which is the best estimate how much wool the farmer can expect to get from her flock of 68 sheep
Answer:
340 pounds of wool
Step-by-step explanation:
If we take the estimate of 25 pounds for 5 sheep, you can guess that there is 5 pounds from each sheep. So, 5×68=340
Find the solution set of the inequality 4x-1<11.
Answer:
x < 3
Step-by-step explanation:
First add:
4x - 1 < 11
+1 +1
---------------
4x < 12
Divide:
4x < 12
---- -----
4 4
x < 3
Hope this helped.
Which of the following is equivalent to the expression 188 ?
O A. i
O B. -1
C. -1
D. 1
SUBMIT
Please help me and show me the steps
Answer:
84x
Step-by-step explanation:
Solve in the bracket first,
4x-8x×(2-11)+8x
4x-8x(-9)+8x
Solve -8x(-9) =72x
4x+72x+8x
84x
Is the final answer
Please Help! I will give you a lot of points and the brainiest if you do.
--This involves Hindu-Arabic counting, so NOT our regular counting system
The signs and their values are given in right side use them to find the sum
The values are
17,13,0,16,11,9Sum
17+13+0+16+11+9=30+20+16=66can I have the best ever
Answer:
What?
Step-by-step explanation:
Is there supposed to be a picture or something?
Answer:
The best what? because I can give you lots ;)
urgent! please help
{brainliest}
Answer:
[tex] - {5c}^{4} \times ( { - c}^{8} ) \\ \\ = 5 \{( {c}^{4} ) \times (c {}^{8} ) \} \\ \\ [/tex]
from law of indices:
[tex] {a}^{n} \times {a}^{m} = {a}^{(n + m)} [/tex]
therefore:
[tex] = 5 \{ {c}^{(4 + 8)} \} \\ \\ { \boxed{ = 5 {c}^{12} }}[/tex]
Use the diagram 3 and 4 complementary 1.True 2.False
Answer:
False
Step-by-step explanation:
Complementary means the angles add up to a sum of 90⁰ and 3 and 4 add up to 180⁰ (considering the angles added together make a flat line and a flat line is 180⁰)
a sum of two angles that's add up to 180⁰ is what we call supplementary.
