We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
Daylight time June trough to December
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as
[tex]A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}[/tex]
A=2
vertical shift =[tex]\frac{Max-min}{2}[/tex]
vertical shift =[tex]\frac{14-10}{2}[/tex]
vertical shift =1
Therefore, the time is given as
[tex]t=\frac{2\pi}{b}[/tex]
Where
[tex]b=\pi/6\\\\t=\frac{2\pi}{\pi/6}[/tex]
Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
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SOLVE THE EQUATION 25+n(20)=175
Answer:
n=15/2
Step-by-step explanation:
25+n(20)=175
n(20)=175-25
20n=150
n=150/20
n=15/2 ans...
select all numbers that are rational
a. 8.23234231
b. 1/23
c. 5.12121212
d. -0.129
e. -0.9
f. 4.62
Answer:
All the numbers are technically, rational.
Step-by-step explanation:
A newspaper and a magazine cost N220 together.the newspaper costs N140 less than the magazine find cost of each
Answer:<3
The analysis documented industry-wide, more-than-substantial price hikes. Seven-day home delivery price more than doubled, and weekday single-copy price tripled. Seven-day The analysis documented industry-wide, more-than-substantial price hikes. Seven-day home delivery price more than doubled, and weekday...
find the measure of angle a round your answer to the nearest hundredth
35.54, 44.42, 45.58, 54.46
Answer: 35.54
Step-by-step explanation:
please help me with this 4 question
Answer:
i) c. 1,08,00,000 cm³
ii) c. 1687.5 cm³
iii) b. 6400
Q.3) Suface area of cube is 294 cm².
Step-by-step explanation:
Q.2. 12 men are building a wall which is 8 m long, 6 m high and 22.5 cm thick using bricks. On this basis answer the following.
i. Find the volume of the cuboidal wall.
Length (l) = 800 mBreadth (b) = 6600 mHeight (h) = 22.5 cmSubstituting all the given values in the formula to find volume of cuboidal wall :
[tex] \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 800 \times 600 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{V = 480000 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{V = 1,08,00,000 \: {cm}^{3}}}}}}} \end{gathered}[/tex]
Hence, the volume of cuboidal wall is 1,08,00,000 cm³.
———————————————————————
ii. If the dimension of each brick is 25 cm × 11.25 cm × 6 cm, then find the volume of the brick.
Length (l) = 25 cmBreadth (b) = 11.25 mHeight (h) = 6 cmSubstituting all the given values in the formula to find the volume of cuboidal brick :
[tex] \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 25 \times 11.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{V = 281.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\pink{V = 1687.5 \: {cm}^{3}}}}}}} \end{gathered}[/tex]
Hence, the volume of cuboidal brick is 1687.5 cm³.
————————————————————
iii. How many bricks will be required to construct the cuboidal wall.
Volume of wall = 10800000 cm³Volume of brick = 1687.5 cm³Substituting all the given values in the formula to find the number of bricks :
[tex] \begin{gathered} \quad{\longrightarrow{\sf{No. \: of \: bricks = \dfrac{Volume \:of \: wall}{Volume \: of \: brick}}}}\\ \\ \quad{\longrightarrow\sf{No.\: of \: bricks = \dfrac{10800000}{1687.5}}} \\ \\ \quad{\longrightarrow{\sf{No. \: of \: bricks = \cancel{\dfrac{10800000}{1687.5}}}}} \\ \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{No. \: of \: bricks = 6400}}}}}}\end{gathered}[/tex]
Hence, 6400 bricks will be required to construct the cuboidal wall.
———————————————————————
Q.3 The volume of a cube is 343 cm³. Fibd its surface area.
Surface area = 294 cm²For clear understanding please check the given attachment.
[tex]\rule{300}{2.5}[/tex]
In a sampler box of candy there are 20 mints, 10 fudges and 20 toffees. A sweet is taken at random from the packet. What is the probability that it is fudge? Write the answer as a percentage.
Answer:
98%
Step-by-step explanation:
have a great day
Answer:
2% chance.
Step-by-step explanation:
20 + 20 + 10 equals 50. 1 divided by 50 equals 0.02, which is 2 percent.
Correct answer will have the brainliest answer look at the image pls.
Answer:
so sorry if i get this wrong, i haven’t done these in a while but, i think it’s (b)
Step-by-step explanation:
Peppy Pets charges a flat fee of $30 plus $6 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $42 plus $2 per hour. For how many hours is the total fee charged by the companies the same?.
Answer:
3 hours for the total fee charged by both companies to be same.
explanation:
let the time ( hours ) to be same be xthey charge extra money so it will be addition.solve:
→ 30 + 6x = 42 + 2x
→ 6x - 2x = 42 - 30
→ 4x = 12
→ x = 3
Prove:-
[tex] \frac{secA - 1}{secA + 1} = \frac{1 - cosA}{1 + cosA} [/tex]
Thank You~
[tex] = \sf \large \frac{ \sec A - 1}{ \sec \: A + 1 } [/tex]
[tex] = \sf \large \frac{ \frac{1}{ \cos A - 1} }{ \frac{1}{ \cos A + 1 } } [/tex]
[tex] \sf \large \: = \frac{ \frac{1 - \cos A }{ \green{ \cancel{ \cos A}} }}{ \frac{1 + \cos A }{ \green{\cancel{ \cos A} }} }[/tex]
[tex] \sf \large = \frac{1 - \cos A }{1 + \cos A } [/tex]
-,-
Find the missing variable. 3k+4(-k+2)=14k-22
Answer:
k=2
Step-by-step explanation:
Expanding gives
[tex]3k-4k+8=14k-22[/tex].
Further simplification yields
[tex]-k+8=14k-22[/tex]
[tex]15k=30[/tex]
[tex]k=2[/tex].
Step-by-step explanation:
Use the Distributive Property:
[tex]3k - 4k + 8 = 14k - 22[/tex]
[tex] - k + 8 = 14k - 22[/tex]
Add k to both sides:
[tex]8 = 15k - 22[/tex]
Add 22 to both sides:
[tex]30 = 15k[/tex]
Divide each side by 15:
[tex]2 = k[/tex]
A value that is considerably larger or smaller than most of the values in a data set is called
A. Bias
B. Mode
C. Outlier
D. Confounder
1. 14=7b
2. -11=k/4
3.6z=-6
Answer:
the anwer is 14-2294-dhi2
Step-by-step explanation:
Because 14 is - 4 you multiple to 5 equal= dhi2
Use whichever method you choose to solve the system of equations: x + y = 6 and 3x + 5y = 26
Answer:
x = 7
y = 1
Step-by-step explanation:
[tex]x + y = 6 - - - - - (1)\\ 3x + 5y = 26 - - - - - - (2) \\ \\ \\ from \: equation \: (1) \\ collect \: like \: terms \\ y = 6 - x \: - - - - - (3) \\ substitute \: equation \: 3 \: into \: (2) \\ 3x + 5(6 - x) = 26 \\ 3x + 30 - 5x = 26 \\ collect \: like \: terms \\ 3x + 5x = 30 + 26 \\ 8x = 56 \\ x = \frac{56}{8 } \\ x = 7 \\ substitute \: x = 7 \: into \: equation \: (3) \\ y = 7 -6 \\ y = 1[/tex]
Find the area of the triangle then round the answer to the nearest tenth (please help!!!)
Answer:
A = 2298.48
Step-by-step explanation:
The right triangle with the 35angle. you need to find the height of that triangle which is the adjacent side and the opposite side is 44
tan 35° = opposite/ adjacent
[tex]tan 35 = \frac{44}{x}[/tex]
[tex]tan 35(x) = 44[/tex]
[tex]x = \frac{44}{tan 35}[/tex]
x = 62.83 ≈ 62.8
Using the 25° angle, you have the height which is 62.8 and looking for the side opposite the 25° angle.
So tan 23° = x/adjacent side
[tex]tan 25= \frac{x}{62.8}[/tex]
[tex]tan 25(62.8)= x[/tex]
29.28 ≈29.2 A = 1/2bh ; A = 1/2 (44 + 29.2)(62.8) ; A = 2298.48
Find the value of x. Round your answer to the nearest tenth.
Answer:
The value of x is 2
Step-by-step explanation:
Given;A right angled-triangleTo Find;The value of xNow,
tan 27 = 1/x
0.5 = 1/x
x = 1/0.5
x = 2
Thus, The value of x is 2
-TheUnknownScientist 72
- 19/20 divided by .45
Answer:
2.11 Repeating
Step-by-step explanation:
Hope is right
Kindly solve my question
Answer:
(a) AA Similarity using alternate interior angles
(b) 6.3
Step-by-step explanation:
(a)
Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.
With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.
Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.
(b)
Triangles ABD and BDC are similar.
The ratios of the lengths of corresponding sides are equal.
AB/BD = AD/BC
4/6 = 4.2/BC
4BC = 6 × 4.2
BC = 6.3
50 Points and if you want to ask me something about my questions then please tell me under the comment section at the question not answering and asking something.
Show your steps of the conversion of the decimal numbers write in your own steps.
1. 3
2. 8
3. 15
4. 18
5. 33
6. 49
7. 64
8. 108
9. 251
Answer:
3=3.0
8=8.0
15.0
18.0
33.0
49.0
64.0
108.0
251.0
Step-by-step explanation:
Basically writing to one decimal place
If Krista wants the pen to be four times the area it is now
(5 feet long by 4 1/2 feet wide), what are two ways she could change
the length and/or width to give her that new area?
What would the new area be?
The two ways she could change the length and/or width are;
Multiply the length by a factor of 4 while leaving the width constantMultiply the width by a factor of 4 while leaving the length constantThe new area of the pen would be; 90ft²
Area of a penThe dimension of the pen given is;
5 feet long by 4 1/2 feet wideHence, the initial area of the pen is;
5 × 4.5 = 22.5 ft².Hence, to make the pen four times it's present area; Krista may multiply either of the length or width by a factor of 4.
And hence, the new area is; 22.5 × 4 = 90ft²
Read more on Area of a pen;
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9) The length of the shorter leg of a 30° -60° - 90° triangle is 24 meters. Find the length of the hypotenuse.
Answer:
48 meters
Step-by-step explanation:
Shorter leg will be the side opposite to the angle measuring 30°. Using sin trigonometric ratio the length of hypotenuse can easily be obtained.
[tex] \sin 30 \degree = \frac{length \: of \: shorter \: leg}{length \: of \: hypotenuse} \\ \\ \implies \: \frac{1}{2} = \frac{24}{l(hypotenuse)} \\ \\ \implies \: {l(hypotenuse)} =2 \times 24 \\ \\ \implies \: {l(hypotenuse)} =48 \: m[/tex]
Shen choses a letter at random from the word PROBABILITY. Write down the probability that the letter is a vowel.
Answer:
4/11 or 36.3636%
Step-by-step explanation:
probability= number of favorable outcomes/ number of possible outcomes
The event containing vowels {O,A,I,I}
P(vowel)= 4/11
in percentage, 36.3636%
What is -7/15 - -7/9? Show your work
Answer:0.3111111111111 is the answer
Step-by-step explanation:
ind the least common denominator or LCM of the two denominators:
LCM of 15 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45
For the 1st fraction, since 15 × 3 = 45,
7
15
=
7 × 3
15 × 3
=
21
45
Likewise, for the 2nd fraction, since 9 × 5 = 45,
7
9
=
7 × 5
9 × 5
=
35
45
Add the two like fractions:
21
45
+
35
45
=
21 + 35
45
=
56
45
So, 7/15 + 7/9 = 56/45
In mixed form: 1
11
45
Is it possible to draw a triangle with angles 150, 20 and 50
Answer:
no
Step-by-step explanation:
because the sum of the angles of a triangle should = 180, and adding these numbers together give a greater result of 220 degrees
CAN SOMEONE PLEASE HELP ME PLEASE PLEASE!!!
Step-by-step explanation:
this is really simple : we only need to put the given x and y coordinate values into both equations and see, if both equations remain true.
(-2, -1) means x = -2, y = -1
first equation :
-1 = 3×-2 + 5 = -6 + 5 = -1
so, -1 = -1
true.
second equation :
-2 + -1 = -3
-3 = -3
true.
therefore, (-2, -1) is a solution to the linear system.
the point is the crossing point of both lines.
Carla’s team won 3 of its 5 games played. Elena’s team won games at the same rate. How many games were played if Elena’s team won 12 games?
3/5=12/x
reciprical of both sides
5/3=x/12
times twelve on both sides
x=20
Answer:
7.2 games, 2.4 times rate.
Step-by-step explanation:
Carla's team won 3 of 5 games which is 3/5 aka 60%.
Elena's team won games at the same rate which means Elena's team won about 7 games since it's 7.2/12 (60%). They won at the rate of 2.4 times while Carla wins at 3/5 rate.
i need help with this
Answer:
87
Step-by-step explanation:
75% is essentially the same as 0.75
0.75 times 116 is 87.
Answer:
It is 87
Step-by-step explanation:
75% can also be written as 0.75 so
116×0.75 is 87
25% of 96 is what number? (solve using proportions)
Step-by-step explanation:
refer the above attachment
Step-by-step explanation:
please mark me as brainlest
Find positive and negative coterminal angles for -240
State all integer values of x in the interval −6≤x≤−1 that satisfy the following inequality:
3x−4≤−18
Answer:
-5 and -6
Step-by-step explanation:
3x - 4 ≤ -18
add 4 to each side:
3x ≤ -14
divide each side by 3:
x ≤ -14/3 or x ≤ -4 2/3
Possible Solutions:
-6, -5, -4, -3, -2, -1
Only solutions which are less than -4 2/3 are: -5 and -6
Is x=12 a solution to the given inequality x > 5
Answer: True
Step-by-step explanation:
Substitute 12 for x in the inequality
x > 5
12 > 5
12 is greater than 5 so x = 12 is a solution to x > 5