Answer:
20 minutes
4:00 - 3:40 = 20 minutes
Answer:
20 minutes
Step-by-step explanation:
If ∠R measures 18°, q equals 9.5, and p equals 6.0, then which length can be found using the Law of Cosines?
I hope this helps you
If R measures 18°,q equals 9.5 ,p equals 6.0 then we can find the length of PQ which is r using the law of cosines.
What is law of cosines?In trigonometric ratios law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Law of cosines is as under:
[tex]c^{2} =a^{2} +b^{2} -2ab cos d[/tex]
where c is the side opposite to the angle given, a,b are the other sides and d is the angle given.
How to find length of triangle?We have been given ∠R=18°, q equals 9.5 , p equals 6.0 then the length r can be calculated as under:
[tex]r^{2} =p^{2} +q^{2} -2pq cos 18[/tex]
r=[tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex]
Hence the length of r is equal to [tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex].
Learn more about trigonometry at https://brainly.com/question/24349828
#SPJ2
What is the value of X in the equation 1/5X—2/3yequals 30when y equals 15
Answer:
x = 50
Step-by-step explanation:
y = 15
1/5X - 2/3y = 30
1/5x - (2/3 x 15) = 30
1/5x - (10) = 30
1/5x = 30 - 20
1/5x = 10
x = 50
Stephanie is registering her son for swim lessons. There is a one time $45 registration fee plus a $20 fee per lesson. Stephanie paid a total of $225. For how many lessons did Stephanie register? Write an equation to represent the problem and solve it.
Answer:
the equation is 45 + 20x= 225 and her son had a total of nine (9) classes.
Step-by-step explanation:
45 + 20x = 225 is the equation.
to solve it, we do 225-45=180
then, 180/20= 9
so x = 9
Write a problem based on the given information.
P = Cost of dinner
0.15p = cost of a 15% tip
P + 0.15p = 23
Answer:
The cost of dinner plus a 15% tip was $23. How much is the dinner?
the cost of the dinner = $20
Step-by-step explanation:
Given that:
p= cost of dinner
0.15p = cost of a 15% tip
p + 0.15 p = 23
The objective is to represent this problem in words based on the given information.
From above, we can say that:
The cost of dinner plus a 15% tip was $23. How much is the dinner?
SO;
p + 0.15 p = 23
1.15 p = 23
Divide both sides by 1.15
p = 23/1.15
p = 20
Therefore, the cost of the dinner = $20
Which point could be removed in order to make the relation a function?
(-4, 3), (-5, 6), (1, 0), (-4, 5), (9,5), (0, -7)
Answer:
Graph it out on desmos and then see which one is out of order
Step-by-step explanation:
desmos graphing
Elena drank 3 liters of water yesterday. Jada drank 3/4 time as much water as Elena
Did jada drink more or less than water than elena
Answer:more cuz it says 3/4 much more
Step-by-step explanation:
Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and b, and let z be twice the reciprocal of a divided by the reciprocal of b. Calculate x+y+z. Please Help!
Answer:
x + y + z = - 22
Step-by-step explanation:
Reciprocal of a : - 6,
Reciprocal of b : 2
Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.
Respectively if y is the product of the reciprocals of a and b, it will be - 6 [tex]*[/tex] 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,
z = 2(- 6) / 2
= - 12 / 2 = - 6
And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.
Simplify: (x²y³z⁻³)⁷(xy⁴)
Answer:
[tex]\huge\boxed{\frac{x^{15}y^{25}}{z^{21}} }[/tex]
Step-by-step explanation:
[tex](x^2y^3z^{-3})^7(xy^4)\\[/tex]
Expanding Parenthesis
[tex](x^{2*7 } y^{3*7}z^{-3*7})(xy^4)\\x^{14}y^{21}z^{-21} * xy^4[/tex]
Combining like terms
[tex]x^{14} * x * y^{21} * y^4 * z^{-21}[/tex]
When bases are same , powers are to be added
[tex]x^{14+1} y^{21+4} x^{-21}[/tex]
[tex]x^{15} y^{25} z^{-21}[/tex]
Neutralizing the negative sign by shifting z to the denominator
[tex]\frac{x^{15}y^{25}}{z^{21}}[/tex]
Answer:
[tex]\huge \boxed{ \frac{x^{15} y^{25}}{z^{21} } }[/tex]
Step-by-step explanation:
[tex](x^2 y^3 z^{-3})^7 (xy^4)[/tex]
[tex]\sf Apply \ exponent \ rule : (a^b)^c=a^{bc}[/tex]
[tex](x^{2 \times 7} y^{3 \times 7} z^{-3 \times 7})(xy^4)[/tex]
[tex](x^{14} y^{21} z^{-21})(xy^4)[/tex]
[tex]x^{14} \times y^{21} \times z^{-21} \times x \times y^4[/tex]
[tex]\sf Apply \ exponent \ rule : a^b \times a^c=a^{b+c}[/tex]
[tex]x^{14} \times x^1 \times y^{21} \times y^4 \times z^{-21}[/tex]
[tex]x^{14+1} \times y^{21+4} \times z^{-21}[/tex]
[tex]x^{15} \times y^{25} \times z^{-21}[/tex]
[tex]\displaystyle \sf Apply \ exponent \ rule : a^{-b} =\frac{1}{a^b}[/tex]
[tex]\displaystyle x^{15} \times y^{25} \times \frac{1}{z^{21} }[/tex]
[tex]\displaystyle \frac{x^{15} y^{25}}{z^{21} }[/tex]
The linear equation y=45x describes how far tracy is as she drives from san francisco to dawson. Let x represent the number of hours and y represent the number of miles. How far from home is tracy in 12 hours
Answer: 540 miles
Step-by-step explanation:
plug in the numbers into the equation
multiply and ta-da
Answer:
540 miles
Step-by-step explanation:
y = 45(12) = 540
3. The product of a rational number and an irrational number is always irrational except
when the rational number is 0.
Explain why
Answer:
This is because anything multiplied by zero is zero itself.
Step-by-step explanation:
Ex: Multiply
[tex] 2 \times \sqrt{2} [/tex]
Here 2 is rational and root. 2 is irrational.
Their product is
[tex]2 \sqrt{2} [/tex]
Which is irrational.
But if you have
[tex]0 \times \sqrt{2} [/tex]
Where 0 is rational and root .2 is irrational.
Their product is
[tex]0[/tex]
Whis is rational.
Hope this helps... :-)
What’s the answer to this ???
Answer:
m<PKN = 270 - m<JKP
Step-by-step explanation:
m<JKM + mMKL + m<LKN = 90 + 90 + 90 = 270
m<PKN + m<JKP = 270
for every rational number x,x×0=x true' or false
Answer:
false
Step-by-step explanation:
because any number with power "0" always gives 1
Answer:
False
Step-by-step explanation:
[tex]x \in \mathbb{Q}[/tex]
[tex]x \cdot 0=x[/tex]
This statement is false.
Take the example:
[tex]$\frac{1}{2} \cdot 0\neq \frac{1}{2} $[/tex]
[tex]$\frac{1}{2} \cdot 0=0$[/tex]
The product of any number and 0 is 0.
Pls helppppp 25 pt and brainiest for whoever answers it right.
Find the longest side of a parallelogram with a perimeter of 66ft., If the sides measure 3x + 1 and 2x - 3.
Find the longest side of a parallelogram.
Formula used:-Perimeter of parallelogram = 2 ( a + b )
Solution:-We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
f(x) = 1/x
g(x) = x − 4
Can you evaluate (g ○ f)(0)? Explain why or why not.
Answer:
(g ○ f)(0) is invalid
Step-by-step explanation:
g(x) = x − 4
f(x) = 1/x
(g ○ f)(x) = 1/x - 4
(g ○ f)(0) can not be evaluated, because if x = 0, 1/x becomes invalid.
Answer:
To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.
Step-by-step explanation:
This is the sample response on edge
Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first and landed 3 arrows in the outer ring and 3 arrows in the bull's-eye, for a total of 267 points. Joey went second and got 4 arrows in the outer ring and 3 arrows in the bull's-eye, earning a total of 281 points. How many points is each region of the target worth? The outer ring is worth ____ points, and the bull's-eye is worth ____ points.
Answer:
outer ring worth 14 pts
bull's-eye worth 74.333333 pts
Step-by-step explanation:
let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"
For amelia
[tex]3x + 3y = 267[/tex]
For joey
[tex]4x + 3y = 281[/tex]
subtracting the first equation from the second
[tex]x = 14[/tex]
[tex]3x + 3y = 267[/tex]
[tex]42 + 3y = 267[/tex]
[tex]3y = 223[/tex]
[tex]y = 74.333[/tex]
Simplify -5(20 + 3). 85 -115 -97 -103
Answer:-115
Step-by-step explanation:
Use distributive property!
-5 times 20 = -100
-5 times 3 = -15
-100 - 15 = 115
Answer: the answer is -115
Step-by-step explanation:
Which of the following statements about the box plot is true? Min: 4 Max: 16 First Quartile:8 Third Quartile:16
Answer:
Third Quartile: 16
Step-by-step explanation:
In the box plot given, the five-number summary displayed are:
1. Min = 2
2. First quartile = 4
3. Median = 8
4. Third Quartile = 16
5. Max = 20
Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in T(d) for the interval d = 4 and d = 10 is 0. Which statement must be true?
Options :
a. The same number of tickets was sold on the fourth day and tenth day.
b. No tickets were sold on the fourth day and tenth day.
c. Fewer tickets were sold on the fourth day than on the tenth day.
d. More tickets were sold on the fourth day than on the tenth day.
Answer:
a. The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given that the average rate of change in T(d), a function used to relate the number of tickets sold for a movie to the number of days since its release is 0 for interval: d=4 and d=10.
Rate of change measures the change in quantity in relation to another, in the scenario it could be interpreted as, the change in quantity of ticket t sold with respect to change in the number of days since the movies was released.
Therefore, if the average rate of change obtained for d =4 and d = 10 gives 0, then it could be inferred that the value of T(d) on both days are the same.
[T(10) - T(4)] / 2 = 0
Then T(10) = T(4)
Answer:
1st option A
Step-by-step explanation:
Maths Answers please
4p-p
Answer:
3pStep-by-step explanation:
4p - p = 4p - 1p = (4 - 1)p = 3p
Simplify (4x − 6) + (5x + 1). 9x + 5 9x − 5 x − 5 −x − 5
Answer:
9x - 5
Step-by-step explanation:
Simplify:
(4x − 6) + (5x + 1) = ⇒ opening parenthesis 4x - 6 + 5x +1 = (4x+ 5x) + (1 -6) = ⇒ grouping like terms9x + (- 5) = ⇒ simplifying like terms9x - 5 ⇒ answerCorrect choice: B. 9x -5
Answer:
9x - 5
Step-by-step explanation:
Solve each system by substitution. 6) -8х - бу = 14 y = 4x - 13
Simplify the following problem, explaining each step.
13 - 4(x - 5)
Example: 4x - 3 + 2x - 6
Step Explanation
1. 6x - 3 Add 4x and 2x BECAUSE they are like terms (same variable)
a) What are the important key words or information needed from this problem?
Answer:
[tex]33 - 4x[/tex]
Step-by-step explanation:
Given the term to be solved by explaining each step:
[tex]13 - 4(x - 5)[/tex]
First of all, the bracket will be solved as per the BODMAS rule.
The bracket term is:
[tex]4(x-5)[/tex]
Now, 4 will be multiplied with [tex]x[/tex] and -5.
i.e.
[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]
Now, let us put the value back in the original expression.
[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]
Now, let us remove the bracket, negative sign will be multiplied with both i.e. [tex]4x[/tex] and -20
[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)
Now, 13 and 20 are like terms, they will be added.
[tex]\therefore[/tex] the expression is equivalent to :
[tex]\bold{33-4x}[/tex]
A farmer takes 8 days to cultivate a plot of land i ha in area. What area
of land will he cultivate in 20 days working at the same rate?
The farmer took 8 days to cultivate one and a half hectares (15000 m^2)
so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.
20 days = 0.1875 x 20
= 3.7500 hectares
hope it helped!
What wiuld the abwser be to (-x=20) pls show work
Answer:
x=-20
Step-by-step explanation:
Just put the x on the other side of the equation
If m // n and n // o and p is a transversal, find the
following;
Which are corresponding angles?
which are alternate interior angles?
which are alternate exterior angles?
which are same-side interior angles?
Which are vertical angles?
which are supplementary angles?
Answer:
See below.
Step-by-step explanation:
Here is one pair of angle of each type. There are more correct answers.
corresponding angles: <K, <O
alternate interior angles: <N, <P
alternate exterior angles: <I, <S
same-side interior angles: <N, <Q
vertical angles: <P, <R
supplementary angles: <J, <M
please someone help me...
Step-by-step explanation:
x cos θ + y sin θ = x cos β + y sin β
Let's say x = cos A, and y = sin A.
cos A cos θ + sin A sin θ = cos A cos β + sin A sin β
Use angle sum formula.
cos(A − θ) = cos(A − β)
A − θ = ±(A − β)
A − θ = β − A
2A = θ + β
A = (θ + β) / 2
cot A = cot((θ + β) / 2)
x/y = cot((θ + β) / 2)
Take a look at the explanation below. It proves that 'x / y = cot(θ + β / 2)' using a different method.
The graphic organizer represents the sets of all rational numbers. What could be the value of A
Answer:
The correct option is;
B) 0
Step-by-step explanation:
Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers
Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....
Answer: Its B.) 0
Step-by-step explanation:
Does anyone know this?
Answer:
Hey there!
The domain is the range of all the x values.
Thus, the domain would be from -3 to 5 and would be written as -3≤x≤5.
Let me know if this helps :)
Tally Lake is 11.25 miles long. Mary starts at one end and kayaks toward the other end, paddling at a constant rate of 2.5 miles per hour. At the same time, Ann starts out from the opposite end and paddles toward Mary at a constant rate of 2 miles per hour. How long will it take for the girls to meet?
Answer:
2 and a half hours
Step-by-step explanation:
Hello!
To find this we add how far Mary and Ann travel and subtract that from the total distance till we get 0
2.5 + 2 = 4.5
11.25 - 4.5 = 6.75 First hour
6.75 - 4.5 = 2.25 Second hour
2.25 is half of 4.5 and half an hour is 30 minutes
2.25 -2.25 = 0 half hour
It will take them 2 and a half hours
The answer is 2 and a half hours
Hope this helps!
Answer:
2 1/2
Step-by-step explanation:
to in a half hours hopefully this helps
simplfy 2x-6 ( 3y- 4x)- 5y
Answer:
26x-23y
Step-by-step explanation:
1. expand the terms 2x-18y+24x-5y
2. combine like terms 26x-23y