Answer:
a.) 20 kilometers
b.)1.67 hours
Step-by-step explanation:
a.) formula= speed =distance/time
Speed= 10km/hr
Distance=unknown
Time=2hrs
Therefore from formula, distance=speed x time
10 x 2
20 kilometers
b.) If average speed is increased by 2km/hr then
total speed= 2+10=12km/hr
Distance remains constant therefore distance= 20km
Therefore time =distance/speed
20/12
= 1.67 hours
A project cost at $160 and add 20% VAT, How much does it change the job?
Answer: 192
Step-by-step explanation:
160 + (20% × 160) =
160 + 20% × 160 =
(1 + 20%) × 160 =
(100% + 20%) × 160 =
120% × 160 =
120 ÷ 100 × 160 =
120 × 160 ÷ 100 =
19,200 ÷ 100 =
Welcomeeee
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC
Answer:
-3, -3
Step-by-step explanation:
The coordinates of point B on line AC is (6/7, -30/7).
Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.
What is the section formula?The section formula is P(x, y)[tex]=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )[/tex].
Now, AB= 3/4 AC⇒AB:AC=3:4
P(x,y)[tex]=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )[/tex]
=(6/7, -30/7)
Therefore, the coordinates of point B on line AC is (6/7, -30/7).
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What is the quotient of 2,173 ÷ 53
Answer:
41
Step-by-step explanation:
what is the sum of (2x−6)+4(x−3)
Answer:
6x - 18
Step-by-step explanation:
2x-6 + 4x-12
6x - 18
Answer:
6x - 18
Step-by-step explanation:
(2x−6)+4(x−3)
Distribute
2x -6 + 4x - 12
Combine like terms
6x - 18
Find the equation of this line
the Answer is:
3/4x + 1/4
Answer:
y=3/4 x + 1/4
Step-by-step explanation:
y=mx+b
(5,4) first point
(-3,-2) second one
m=y2-y1/x2-x1 =-2-4/-3-5=-6/-8=-3/-4=3/4
find b when x=5 and y= 4
y=mx+b
4=3/4 (5) +b
4-15/4 =b
4 b=16-15
b=1/4
The outside temperature at a place is - 20 degree Celsius and it drops 5 degrees every hour.How long it will take to reach the temperature zero degree Celsius?
Answer:
4 hours
Step-by-step explanation:
20-5x=0
5x= 20
x=4 hours
A piece of timber is x cm long. 7 cm is cut off. How much is left?
Answer:
x-7>0
Straight answer: x-7
Step-by-step explanation:
Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0
Sin485 positive acute angle
What is the decimal expansion of 30/6? And is it rational or irrational.
Answer:
5.0 rational
Step-by-step explanation:
30/6 = 5/1 =5.0
it's rational as it is a fraction
Caylee caylee build a rectangular prism using 18 cubes that are each measure 1 cm on each side. What could be the dimensions of her rectangular prism
Answer:
2cm by 3cm by 3cm.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to help us in solving this particular Question or problem;
=> We have a built rectangular prism.
=> The rectangular prism was built by using 18 cubes.
=> Each of the 18 cubes measure 1 cm on each side.
So, the dimensions of Carley's rectangular prism is given below as the multiples of 18 since each of the 18 cubes measure 1 cm on each side.
That's 2 cm × 3 cm × 3cm. Therefore, the length will be 2cm, breadth will be 3cm and height will be 3cm.
2000 soldiers stand in a row. Beginning from the left, each soldier calls out a number, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. Beginning from the right, each soldier calls out a number 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. How many of these soldiers call out a number 3 when beginning from the left and right??
Answer:
The number of soldiers that call out a number 3 is 666 soldiers
Step-by-step explanation:
The parameters given are;
Number of soldiers = 2000
Soldiers calling from the left = 1, 2, 3,.....
Soldiers calling from the right = 1, 2, 3,.....
Therefore, since the number soldiers calling out the number 3 are 1 in 3 from the left and 1 in 3 from the right, we split the soldiers into 2 groups of 1000, with one group calling from left and the other group calling from the right;
The number of 3s in called out in the first group from the left is therefore;
1000/3 = 333.33 which is 333 soldiers or from the 3rd soldier to the 999th soldier
Similarly the number of 3s called out from the second group = 333
Hence the total number of soldiers that call out a number 3 = 333 + 333 = 666 soldiers.
A chemist bought 2390 test tubes and beakers.1034 of them were test tubes and the rest were beakers.How many more beakers did the chemist buy than test tubes?
Answer:
322
Step-by-step explanation:
The question explains that the total of both test tubes and beakers were
= 2390.
If 1034 of them were test tubes, then the number of beakers bought,
= 2390 - 1034
= 1356.
The question requires the answer to how many more beakers than test tubes were bought, and this would mean subtracting the number of beakers from the number of test tubes.
= 1356 - 1034
= 322
Therefore, 322 more beakers than test tubes were bought.
(2^8 • 5^negative5 • 19^0) • (5^negative2 / 2^3)^4 • 2^38
i need steps shown and a simplified answer please!
Answer:
6.872* 10^17
Step-by-step explanation:
(2^(8) * 5^(5) * 19^(0)) * ((5^(2))/(2^(3)) ) * 2^(38)
you add the exponent of the same number because it is multiplication
for number two 2 : 8+38=46
for division you subtract the exponents : 46-3=43
and for number 5 : 5+2=7
for 19^0=1
2^43*5^7=6.872*10^17
part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}[/tex]
Step-by-Step Explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18
[tex]6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}[/tex]
Note: 8² + 15² = hypotenuse² → hypotenuse = 17
[tex]7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]
Note: hypotenuse not needed for tan
[tex]8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}[/tex]
Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
5) cosθ = [tex]\frac{\sqrt{11} }{6}[/tex] , 6) cosθ = [tex]\frac{8}{17}[/tex] , 7) tanθ = [tex]\frac{4}{3}[/tex] , 8) cosθ = [tex]\frac{1}{\sqrt{10} }[/tex]
What is pythagorean theorem ?If, a be the perpendicular, b be the base & c be the hypotenuse of a right angle triangle.
Then, [tex]c=\sqrt{a^{2}+ b^{2} }[/tex]
What are the trigonometric functions ?cosθ = (Side adjacent to θ)/(Hypotenuse)
sinθ = (Side opposite to θ)/(Hypotenuse)
tanθ = (Side opposite to θ)/(Side adjacent to θ)
What are the values of required trigonometric functions ?5) Hypotenuse = [tex]\sqrt{(3\sqrt{11}) ^{2} +15^{2} }[/tex]
= [tex]\sqrt{99+225}[/tex]
= [tex]\sqrt{324}[/tex] = 18
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{3\sqrt{11} }{18}[/tex] =[tex]\frac{\sqrt{11} }{6}[/tex]
6) Hypotenuse = [tex]\sqrt{8^{2} +15^{2} }[/tex]
= [tex]\sqrt{64+225}[/tex]
= [tex]\sqrt{289}[/tex] = 17
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{8}{17}[/tex]
7) tanθ = (Side opposite to θ)/(Side adjacent to θ)
= [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]
8) Hypotenuse = [tex]\sqrt{2^{2} +6^{2} }[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]\sqrt{40}[/tex] = [tex]2\sqrt{10}[/tex]
∴ cosθ = (Side adjacent to θ)/(Hypotenuse)
= [tex]\frac{2}{2\sqrt{10} }[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
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write 10 examples of cube that you see in your daily life
Answer:
Step-by-step explanation:
1. Ice Cubes
2. Dice
3. Sugar Cubes
5. Old Iron Lockers
6. Gift Box
7. Cube Building Blocks
Evaluate (x + y)^0for x = -3 and y = 5.
-1/2
2
1 0
Answer: 2
Step-by-step explanation:
[tex](-3+5)^0=2[/tex]
=
O RATIOS, PROPORTIONS, AND MEASUREMENT
Writing ratios for real-world situations
There are 8 new books and 9 used books on a shelf.
(a) What is the ratio of all books to new books?
(b) What is the ratio of all books to used books?
(a)
(b)
?
X
Answer:
(a) ratio of all books to new books is 17 : 8
or in quotient form: 17/8
(b) ratio of all books to used books is 17 : 9
or in quotient form: 17/9
Step-by-step explanation:
Number of new books = 8
Number of used books = 9
Total number of books = 17
Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:
a : b
which can also be translated to the quotient expression: a/b
Then the requested ratio of
(a) all books to new books is 17 : 8
or in quotient form: 17/8
(b) all books to used books is 17 : 9
or in quotient form: 17/9
Plzzzzzz help me.......
Answer: 4 terms and 8 factors
Step-by-step explanation:
^
Pls help I need these points
Justin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloon
What is the maximum height of the water balloon?
How long does it take to reach its maximum height?
Answer:
a) 64 feetb) 1 secStep-by-step explanation:
Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.
Velocity = dH/dt = 0
dH/dt = -32t+32 = 0
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
Substituting t = 1sec into the modeled equation of the height
H = -16t²+32t+48
H = -16(1)²+32(1)+48
H = -16+80
H = 64 feet
The maximum height of the water balloon is 64 feet
b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.
64 = -16t²+32t+48
-16t²+32t = 16
16t²-32t+16 = 0
t²-2t+1 = 0
t²-t-t+1 = 0
t(t-1)-1(t-1) = 0
(t-1)² = 0
t-1 = 0
t = 1sec
It took the water balloon 1 sec to reach its maximum height.
What is James average speed on his outward journey
Answer:
We wish to find his rate...
km per minute or km per hour:
His total time is: 15 + 5 + 20 = 40 minutes
His total distance is 2 km
Rate in km/minute: 2/40 = 1/20 = 0.05 km/minute
If you want km/hour then:
(0.05 km/minute)(60 minutes/hour) = 3 km/hour or kph
Step-by-step explanation:
James walks 1 km away from home in 15 minutes. He stops and rest for 5 minutes and then walks back home along the same path, but he spent 20 minutes to reach home.
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
6. What must be true in order for two triangles to be similar?
11. What is the measure of angle y?
A) 130°
B) 50°
C) 40°
D) 90°
Answer:
50
Step-by-step explanation:
The sum of angles in a triangle is 180 so the answer is 180 - 90 - 40 = 50.
Also, for your first question, 2 corresponding angles of the triangles must be congruent.
Answer:
B. 50°
Step-by-step explanation:
40°+90°+y = 180°
130°+y°=180°
y° =180°-130°
y = 50° (sum of the interior angles in a triangle=180°)
Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?
Answer:
number of message sent by Scott is 23
number of message sent by Christine is 30
number of message sent by Milan is 92
Step-by-step explanation:
Total message sent by Christine,Milan, and Scott : 145
Let number of message sent by Scott be x .
Given that Christine sent 7 more messages than Scott
number of message sent by Christine is x+7
It is also given that Milan sent 4 times as many messages as Scott
number of message sent by Milan is 4*x = 4x.
Thus, sum of message sent by Christine,milan, and Scott in terms of x
= x + x + 7 + 4x = 6x + 7
we already know that Total message sent by Christine,milan, and Scott is 145
thus, 6x + 7 should be equal to 145
6x + 7 = 145
=>6x = 145 - 7 = 138
=> x = 138/6 = 23
Thus,
number of message sent by Scott is x = 23
number of message sent by Christine is x+7 = 23+7 = 30
number of message sent by Milan is 4x = 4*23 = 92
Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true? A line has points A, D, B, K, C. AD = One-thirdAC AC = 4DB AB + DC = AC BK = KC
Answer:
AC = 4DB
Step-by-step explanation:
see attachment
Given that B is the midpoint of AC, this means that AB≅BC.
Also, D is the midpoint of AB, therefore AD≅DB.
This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4). DB is the same length, since it is congruent to AD.
Thus, AC = 4DB.
Answer:
B. AC = 4DB
May I have brainliest please? :)
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2 or 0.5
Step-by-step explanation:
since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math
Answer:
119,940 books are not about math.
What I did:
60x2000=120,000
120,000-60=119,940
Answer:
119940
Step-by-step explanation:
.05 % are about math
b= books
b * .05% = 60
Change to decimal form
b * .0005 = 60
Divide each side by .0005
b = 60/.0005
b =120000 books in the store
we want the ones not about math
120000-60
119940
can someone help and explain
Answer:
12 4/3 =40
Step-by-step explanation:
I hope that help u
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.
Answer:
(0.5,-3.5)
Step-by-step explanation:
Find the mean of the respective coordinates
which law would you use to simplify the expression 3^10/3^4
Answer:
I would use the "quotient rule of exponents"
Step-by-step explanation:
I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.
That is:
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
Then in this case the simplified expression would be:
[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]
Answer: quotient of powers
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post secretary.If Mr.X got 2/5 of the total votes and Me.Z got 1/4 of the total votes then how much did Mr.Y get?
Answer:
Mr Y got 10 votes
Step-by-step explanation:
The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.
Le us calculate the votes of each contestant
Mr X
He got 2/5 of the total votes
number of votes = 2/5 × 30
number of votes = 60/5
number of votes = 12
Mr Z
He got 1/4 of the total votes
number of votes = 1/4 × 30
number of votes = 30/4
number of votes = 1/4 × 30
number of votes = 7.5 ≈ 8 votes
Mr Y
The remaining votes will be 30 - 12 - 8 = 10 votes
Therefore,
Mr Y got 10 votes
