Answer:
f(5).g(5)
Step-by-step explanation:
(fg)=(f.g)
this is how it starts: (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
What is 15% of 80kg????
Answer:
12 kg
Step-by-step explanation:
15%×80 =
= 15×80/100
= 15×8/10
= 120/10
= 12 kg
What is the quotient of 2,173 ÷ 53
Answer:
41
Step-by-step explanation:
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.
Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answer:
The answer is 7x²
Step-by-step explanation:
Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²
I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right
Answer: A. SSS
Step-by-step explanation:
The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.
Answer:
SSS
Step-by-step explanation:
The given triangles have 3 equal sides: 3, 6 and 8
So the answer is SSS (side-side-side)
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]
Learn more about trigonometric functions here :
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Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?
Answer:
The new length is 13.5 meters
Step-by-step explanation:
Here, we are interested in calculating the new length of the cloth she wants to use
What we know from the question is that she is making a reduction of 10% from an initial of 15 meters
Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is
Mathematically, that would be ;
10/100 * 15 = 1.5 meters
We now subtract this from the total of 15 meters
= 15 meters - 1.5 meters = 13.5 meters
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]
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.
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
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
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).
To learn more about the coordinates visit:
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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 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!
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°)
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
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.
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
Plzzzzzz help me.......
Answer: 4 terms and 8 factors
Step-by-step explanation:
^
can someone help and explain
Answer:
12 4/3 =40
Step-by-step explanation:
I hope that help u
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
=
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
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
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.
x:28=1:8
Whats the answer eh
Answer:
Step-by-step explanation:
We can setup the equation as
x/28 = 1/8
Cross multiplying we get
8x = 28
Dividing by 8 we get
x = 28/8 = 7/2
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? :)
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
-30 belongs to what family of real numbers ?
Answer: Irrational numbers
Add 7m/16+(-m/16) . Reduce, if possible.
Plzz answer quickly
Answer:
6m/16 = 3m/8
Step-by-step explanation:
since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).
7m +(-M) is the same as 7m - m, so that is 6,
when you put it back together, you get 6m/16, simplify it to 3m/8
Three students use pens to write th enams of graduating seniors on thei rdiplomas. One writes 7 names in 6 minutes, another writes 17 names in 10 minuts, and the third writes 23 names in 15 minutes. How long, to the nearest minute, will the students take to the write the names on 440 diplomas if they work together?
Answer:
Total time ≈ 100(nearest minutes)
Step-by-step explanation:
The rates at which each student writes names per minutes can be calculates as follows.
First student
6 minutes = 7 names
1 minute = 7/6 names
second student
10 minutes = 17 names
1 minute = 17/10 names
Third student
15 minutes = 23 names
1 minute = 23/15 names
Total time = 440/total rate
Total time = 440/1.17 + 1.7 + 1.53
Total time = 440/4.403
Total time = 99.931
Total time ≈ 100(nearest minutes)
