Answer:
27 meters
Step-by-step explanation:
Given
[tex]Fishing\ Line =12m[/tex] ----- from hook
[tex]Andy =15m[/tex] ---- from the fishing line
Required
Distance between Andy and the hook
The scenario can be represented as:
Hook ----------------------- Fishing Line ----------------------------- Andy
Using the above representation, the distance (d) between Andy and the hook is:
[tex]d = Andy + Fishing\ Line[/tex]
[tex]d = 15m + 12m[/tex]
[tex]d = 27m[/tex]
A.)23
B.)30
C.)53
D.)60
Answer:
m∠ABC = 150°
Step-by-step explanation:
180° - 90° = 90°
[tex](2x+14)+(x+7)=90[/tex]
[tex](2(23)+14)+(23+7)=90[/tex]
[tex]((46)+14)+(30)=90[/tex]
[tex](60)+(30)=90[/tex]
[tex]x=23[/tex]
90° + 60° = 150°
what is the value of 3/2 + 4/2?
Answer:
7/2 or 3 1/2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
3/2 + 4/2 = 7/2
Hope this helps!!
Molly is birdwatching at the coast. She has seen 2 egrets and 4 other birds. Considering this data, how many of the next 39 birds Molly sees would you expect to be egrets?
Answer:
13 egrets
Step-by-step explanation:
According to the Question,
Given That, Molly is birdwatching at the coast. She has seen 2 egrets and 4 other birds. Considering this data.
Therefore, The next 39 birds Molly sees would you expect to be egrets is
⇒ (39/6)×2 = 13 egrets.
what is x+x equal to
what do you mean? theres no math. we cant answer this.
x+x is equal to 0
Answer:
2x
Step-by-step explanation:
x + x = 2x
Help a bab out please?
Answer: 5
Step-by-step explanation:
FILL IN THE BLANKS 1) 257x_____=(-257) 2)(-30)x_____=(-270) 3)_____x(-21)=_____ 4)918x_____=0 5)(-56)x[(-9)+(-1)]=_____
Answer:
[tex](a)\ 257 * [-1] =-257[/tex]
[tex](b)\ (-30) * [9] =-270[/tex]
(c) The additive inverse of -21 is 21
[tex](d)\ 918 *[0]=0[/tex]
[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]
Step-by-step explanation:
Required
Fill in the blanks
Represent all blanks with x
[tex](a)\ 257 * x =-257[/tex]
Divide both sides by 257
[tex]x =\frac{-257}{257}[/tex]
[tex]x = -1[/tex]
So:
[tex](a)\ 257 * [-1] =-257[/tex]
[tex](b)\ (-30) * x =-270[/tex]
Divide both sides by -30
[tex]x =\frac{-270}{-30}[/tex]
[tex]x = 9[/tex]
So:
[tex](b)\ (-30) * [9] =-270[/tex]
(c)The complete question here is to determine the additive inverse of (-21)
The [tex]additive[/tex] [tex]inverse[/tex] of a [tex]number[/tex] x is -x
So:
[tex](-21) \to -(-21)[/tex]
[tex](-21) \to 21[/tex]
[tex](d)\ 918 *x=0[/tex]
Divide both sides by 918
[tex]x=\frac{0}{918}[/tex]
[tex]x = 0[/tex]
So:
[tex](d)\ 918 *[0]=0[/tex]
[tex](e)\ (-56) * [(-9)+(-1)] = x[/tex]
Solve the inner brackets
[tex](-56) * [-9-1] = x[/tex]
[tex](-56) * [-10] = x[/tex]
Multiply
[tex]560 = x[/tex]
So:
[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]
PLSS HELP ME ITS WORTH 20 POINTS!!
Answer:
suplementary
Step-by-step explanation:
Can someone please take a screenshot of this problem and send it. I could really use the help.
Answer:
5/12
Step-by-step explanation:
2/3 - 1/4
Get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
8/12 - 3/12
5/12
Answer:
5 twelfth
Step-by-step explanation:
jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover the exact distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
: Show that the solution of the differential equation: = − − − − − is of the form: + + ( − ) = + , When = and =
Answer:
[tex]y = \tan(x + \frac{x^2}{2})[/tex]
Step-by-step explanation:
Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]
When
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]
We have:
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]
Rewrite as:
[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]
Factorize
[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]
Rewrite as:
[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]
Factor out 1 + x
[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]
Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]
[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]
Integrate both sides
[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]
Rewrite as:
[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]
Integrate the left-hand side
[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]
Integrate the right-hand side
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]
[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]
So:
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]
This gives:
[tex]0 = 0 +0 + c[/tex]
[tex]0 =c[/tex]
[tex]c = 0[/tex]
The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]
[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]
Take tan of both sides
[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved
make the letter in the bracket the subject of the A=
[tex]v = u + at \: (a)[/tex]
Answer:
a=acceleration due to gravity=9.8m/s²
v=final velocity
u=initial velocity
t=time taken
Use the distributive property to fill in the blanks below.
5 (8 – 3) = ( _ x 8) - ( _ x 3)
Please help due today
Answer:
5 (8 – 3) = ( 5 x 8) - (5 x 3)
Step-by-step explanation:
You distribute the 5 over the 8 and the 3 hence the distributive property.
a movie theater sells up 10 tickets at a time online. What is the domain of this graph
Answer:
Whole numbers or integers from 0 to 10
Step-by-step explanation:
Either 0 tickets can be sold, or 1, or 2, or 3, or 4, etc. up to a maximum of 10;
It is not possible to sell -1 tickets or ¹/₂ a ticket and we are told they don't sell more than 10 so 11 is not a possibility either;
Logically then, the only possibilities are whole numbers between 0 and 10
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
Your friend has two children. At least one of the children it's a boy. Considering the order that the children were born, what is the probability that the other child is a girl?
Answer:
the order actually doesn't affect the likelyhood of the gender, the answer is 50%
Step-by-step explanation:
Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.
Which product should Tomas choose?
(2x + y)(2x2 + 2xy – y2)
(2x + y)(4x2 + 2xy – y2)
(2x + y)(4x2 – 2xy + y2)
(2x + y)(2x2 – 2xy + y2)
[tex]c. \: (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Substituting the values of "a = 2x" and ''b = y" in the expression, we have
[tex](2x + y)[( 2{x})^{2} - 2xy + {y}^{2} ] \\ = (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
The product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)
Sum of the cube of valuesGiven the sum of cubes expressd as:
a^3 + b^3 = (a + b)(a^2 – ab + b^2)
Given the following parametrs
a = 2x
b = y
Substitute this values into the formula
a^3 + b^3 = (2x + y)((2x)^2 – 2xy + y^2)
a^3 + b^3 = (2x +y)(4x^2 – 2xy + y^2)
Hence the product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)
Learn more on sum of cubes here: https://brainly.com/question/26726803
can someone pls pls help me?
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided the figure of trapezium in which 2 m and 7m are the opposite parallel sides and 10m is the height. The formula to found out the area of a trapezium is [tex] \frac{1}{2} \tt{h(a + b)}[/tex] where h is the height and a & b are the opposite parallel sides .[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
[tex] \boxed{ \large{ \tt{❊ \: AREA \: OF \: TRAPEZIUM \: (A) = \frac{1}{2} h(a + b)}}}[/tex]
- Plug the values & then simplify!
[tex] \large{ \tt{↬ \frac{1}{2} \times 10(2 + 7)}}[/tex]
[tex] \large{ \tt{↬ \frac{1}{2} \times 10 \times 9 }}[/tex]
[tex]↬ \boxed{ \large{ \tt{45 \: {m}^{2} }}}[/tex]
Hence , The required answer is 45 square meters .✺ Karma says : If you feel like you are losing everything , remember that trees lose their leaves every year and still they stand tall and wait for better days to come! ♪
♡Hope I helped! ت
☼ Have a wonderful day / evening ! ☪
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
How many quarts are in 583.7 liters? Round to the nearest tenth.
Answer:
616.8
Step-by-step explanation:
look it up
Answer:
616.8 quarts
Step-by-step explanation:
La edad de Ericka es el tripl de la edad de Liliana y hace 9 años la suma de sus edades era 22. ¿Cuantos años tiene actualmente Liliana?
Answer:
Liliana tiene 10 años.
Step-by-step explanation:
Definamos las variables:
E = edad de Ericka
L = edad de Liliana.
Primero sabemos que la edad de Ericka es el triple de la edad de Liliana, entonces:
E = 3*L
Tambien sabemos que hace 9 años la suma de sus edades era 22
Hace nueve años la edad de Ericka era E - 9
Y hace nueve años la edad de Liliana era L - 9
Entonces tenemos:
(E - 9) + (L - 9) = 22
Así, tenemos un sistema de dos ecuaciones:
E = 3*L
(E - 9) + (L - 9) = 22
Queremos conocer la edad actual de Liliana.
Para ello tenemos que despejar E en una de las ecuaciones.
Podemos ver que en la primer ecaución E ya está aislada, entonces nos saltamos ese paso.
Ahora, reemplazamos E en la otra ecuación:
(E - 9) + (L - 9) = 22
(3*L - 9) + (L - 9) = 22
Ahora podemos resolver esto para L
3*L - 9 + L - 9 = 22
4*L - 18 = 22
4*L = 22 + 18
4*L = 40
L = 40/4 = 10
L = 10
Liliana tiene 10 años.
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
The number of multiple-choice questions and the number of short answer type questions are the same.
Let it be equal to [tex]x[/tex]
→Average time it takes to attempt multiple choice question = 2 minutes
→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes
→Average time it takes to attempt short answer type question = 3.5 minutes
→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes
Total time for the test should be less than 45 minutes.
Now finally, we can make an equation out of the information listed above:
[tex]2x +3.5x <45[/tex]
[tex]\\ 5.5x <45[/tex]
[tex]x < 8.18[/tex]
Hence the value of [tex]x = 8[/tex]
Determine the vertex and axis of symmetry for f (x) = 2(x+4) to the power of 2 + 1
Answer:
The vertex of the graph is at (-4,1) and thus leading the axis of symmetry be at x=-4.
Step-by-step explanation:
FASTTTT HELPPP will mark brainly
“A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. so how many cubic centimeters is it?
Answer:
216 cubic centimeters
Step-by-step explanation:
The details of the word problem are as follows;
The length of the edges of a cube, s = 6 cm
The volume of the cuboid = The volume of the cube
The length of a side of the cuboid = 4 cm
The length of the other side of the cuboid - 6 cm
The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³
The volume of the cuboid, [tex]V_c[/tex] = 4 cm × 6 cm × T
Where 'T' represent the length of the third side
Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm
The length of the third side, T = 9 cm
The volume of the cuboid = The volume of the cube = 216 cm³
interpretation of the vertical line
PLS HELP QUICKKK its almost due
I think its the second one. I hope it is
An acute angle’s measure is:
Answer:
>90°
degrees from below 90 degrees
Determine the intercepts of the line. − 5 x + 9 y = − 18
Answer:
x int (18/5,0)
y int (0.-2)
Step-by-step explanation:
by substitution
Answer:
x-intercept: (3.6, 0)
y-intercept: (0, -2)
Step-by-step explanation:
The x and y intercepts of a line can be found by substituting y= 0 and x= 0 into the equation of the line respectively. The y-intercept is the point at which the line cuts through the y-axis, while the x-intercept is the point at which the line cuts through the x-axis.
-5x +9y= -18
When x= 0,
-5(0) +9y= -18
9y= -18
Dividing both sides by 9:
y= -18 ÷9
y= -2
Thus, the y-intercept occurs at (0, -2).
When y= 0,
-5x +9(0)= -18
-5x= -18
Divide both sides by -5:
x= -18 ÷(-5)
x= 3.6
Thus, the x-intercept occurs at (3.6, 0).
To learn more about intercepts, check out: https://brainly.com/question/14180189
Find the length of the arc. Use 3.14 for T.
PLEASE HURRY
Answer:
Solution given;
angle =270°
radius [r]=8cm
we have
length of arc =270°/360°×2×π*r
=270°/360°×2×3.14*8=37.68cm
length of the arc is 37.68cm.
please solve thissssss 5x + 3x = 28
Answer:
x= 3.5
Step-by-step explanation:
5x + 3x = 28
8x = 28
x = 28/8
x = 3.5
Answer:
5x + 3x = 28
8x=28
x=28/8
x=3.5
Solve the equation 28 + 24p = 36 for p.
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{28 + 24p = 36}[/tex]
[tex]\textsf{24p + 28 = 36}[/tex]
[tex]\large\textsf{SUBTRACT 28 to BOTH SIDES}[/tex]
[tex]\textsf{24p + 28 - 28 = 36 - 28}[/tex]
[tex]\large\textsf{CANCEL out: 28 - 28 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 36 - 28 because that helps solve for the p-value}[/tex]
[tex]\textsf{36 - 28 = \bf 8}[/tex]
[tex]\large\textsf{NEW EQUATION: 24p = 8}[/tex]
[tex]\large\textsf{DIVIDE 24 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{24p}{24}=\dfrac{8}{24}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{24}{24}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{8}{24}}\large\textsf{ because that helps you solve for the p-value any}\\\\\large\textsf{gives you the value of it}[/tex]
[tex]\mathsf{p= \dfrac{8}{24}}\\\\\\\mathsf{p = \dfrac{8\div8}{24\div8}}\\\\\\\mathsf{8\div8=\bf 1}\\\\\mathsf{24\div8=\bf 3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf p = \dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
1/3
Step-by-step explanation:
Got a 100 on T4L
Calvin and Susie are running for class president of the first 80% of the balance that are accounted Susie receives 53% of the votes in Calvin really receives 47% at least what percentage of the remaining votes does California Ziv to catch up to Susie in the election
In order to overtake Susie in the election, Calvin must obtain at least 59% of the votes still cast.
Let's assume that there are a total of 100 votes in the election. If Susie receives 53% of the first 80 votes, she gets:
0.53 x 80
= 42.4 votes
And if Calvin receives 47% of the first 80 votes, he gets:
0.47 x 80
= 37.6 votes
So, Susie is currently ahead by:
42.4 - 37.6
= 4.8 votes
Now, let's assume there are N remaining votes. We want to know what percentage of the remaining votes Calvin needs to win, so we can set up an equation:
0.47 × (80 + N)
= 0.53 × (80 + N) - 4.8
Simplifying this equation, we get:
0.06 x (80 + N)
= 4.8
Dividing both sides by 0.06, we get:
80 + N = 80
N = 80
So, there are 80 remaining votes. To find the percentage of these votes that Calvin needs to win, we can set up another equation:
0.47 x (80 + 80) + x/100 x 80
= 0.53 x (80 + 80)
Simplifying this equation, we get:
37.6 + 0.8x = 84.8
Subtracting 37.6 from both sides, we get:
0.8x = 47.2
Dividing both sides by 0.8, we get:
x = 59
So, Calvin needs to win at least 59% of the remaining votes to catch up to Susie in the election.
To learn more about percentage click here
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#SPJ1
Answer:
63%
Step-by-step explanation:
ik