Answer:
x is 46.67
y is 28.4°
Step-by-step explanation:
To solve for x we use sine
sin ∅ = opposite / hypotenuse
AC is the opposite
x is the hypotenuse
so we have
sin 59° = 40 / x
x sin 59 = 40
Divide both sides by sin 59
x = 40/sin 59
x = 46.67
To solve for y we also use sine
sin y = 30/ 63
y = sin^-1(30/63)
y = 28.4°
Hope this helps you
The cost of a trip is $3.15 plus $0.95 for every kilometre that you ride on a bus. Which of the following expressions gives the cost of a trip of k kilometres?
Answer: 0.95k + 3.15
Step-by-step explanation:
0.95k is because each of k kilometers costs $0.95. + 3.15 is because it costs 3.15 as a flat rate regardless of distance
Hope it helps <3
Answer:
.95k+3.15
Step-by-step explanation:
To write an expression you need a variable (k). I look at the directions and I see that the length of the trip is 'k' kilometers. So I pay the flat fee of 3.15 ONE TIME. Then I pay $0.95 for every kilometer I go, so the expression is
-> .95k+3.15
The question i want to know is linked below, please help!!
Answer: 250 metre
Step-by-step explanation:
The radius of the semi circle will be:
Radius r = diameter/ 2
Where diameter = 140
r = 140/2 = 70m
The radius is also equal to the width of the diameter.
Find the quarter of the circumference of a circle.
Circumference of a circle = 2πr
Substitute for r in the formula
Circumference = 2 × 22/7 × 70
Circumference = 44 × 10 = 440 m
Divide the circumference by 4
440/4 = 110 m
The perimeter P of the shaded region will be
P = 110 + 70 + 70
Perimeter = 250 m
Therefore, the perimeter of the shaded region is 250 m
Amanda teaches violin lessons for $21.30 per hour. How many hours of lessons must Amanda give to make no less than $894.60?
No less than 42 lessons
No less than 35 lessons
No less than 45 lessons
No less than 33 lessons
Answer:
No less than 42 lessons
Step-by-step explanation:
To find the total numbers of hours needed to teach, divide the total amount of money needed by the amount of money made an hour.
$894.60/$21.30 = 42
Solve the system of equations by substitution.
y=-1/2x-7
2 x - y = -16
Answer:
Point Form:
( − 46 /3 , − 44 /3 )
Equation Form:
x = − 46 /3 , y = − 44 /3
Step-by-step explanation:
Combine 1 /2 and x .
y = x /2 − 7
2 x − y = − 16
Replace all occurrences of y in 2 x − y = − 16 with x /2 − 7 .
y = x /2 − 7
2 x − ( x /2 − 7 ) = − 16
Simplify
2 x − ( x /2 − 7 ) .
y = x /2 − 7
3 x /2 + 7 = − 16
Solve for
x
in the second equation.
y = x /2 - 7
x = − 46 /3
Replace all occurrences of x in y = x /2 − 7 with − 46 /3 .
y = − 46 /3 /2 − 7
x = − 46 /3
Simplify − 46 /3 /2 − 7 .
y = − 44 /3
x = − 46 /3
The solution to the system of equations can be represented as a point.
( − 46 /3 , − 44 /3 )
The result can be shown in multiple forms.
Point Form:
( − 46 /3 , − 44 /3 )
Equation Form:
x = − 46 /3 , y = − 44 /3
There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?
Answer:
2/7
Altogether there're 7 marbles. Let,probability of getting blue and red marbles be 'B' and 'R' respectively.
In 1st pick
Probability of getting red marble is 4/7
So, there's the probability that the ball in 1st pick may be either blue or red.
So,if the marble is red then we've to eliminate that red marble ( cause,question says so)
Then,in 2nd pick
Probability of getting red ball will be 3/6(if we eliminate that red ball then the total number of marbles will also be 6)
Now,
Probability of getting two red will be
(4/7)×(3/6)
=2/7
It would be more easier to do by tree diagram. Since,I didn't find it convenient here,it may be not so much helpful.But, I tried my best. Hope you are clarified.
At the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210210210 oranges for a total harvest of 417904179041790 oranges. Write an equation to determine the initial number of orange trees (t)(t)(, t, )on MacDonald's farm. Find the initial number of orange trees on MacDonald's farm. orange trees
Answer:
Initial number of trees (t)=204
Step-by-step explanation:
t = initial number of trees
Subtract 5 trees from the initial number of trees
we have,
t-5
each remaining tree made 210 oranges for a total of 41,790 oranges
We have,
(t-5) * 210=41790
Solve the equation
(t-5) * 210=41790
Open the bracket
210t-1050=41790
210t=41790+1050
210t=42840
Divide both sides by 210
210t/210=42840/210
t=204
The initial number of trees on MacDonald farm orange trees (t)=204
If 5 is removed from the initial trees
t-5=204-5
=199 trees
199 trees produce 210 oranges
We have,
199*210=41790 oranges
Answer:
Equation: 210t - 1050 = 41790
204 orange trees
Step-by-step explanation:
answer is from khan academy
pls brainliest :|
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
Answer:
Negative integer(-)
Step-by-step explanation:
She has to give $45 but she has only $28.
That means
=28-45
= -17
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
A. 120 degrees.
Step-by-step explanation:
The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.
Hope this helps!
Which system below has no solution? y = 4x and y = 2x - 3 y = -4x and y = 2x - 3 y = -4x and y = 2x + 3 y = -4-x and y = 2x - 3
Answer:
y=4x
Step-by-step explanation:
this is because all other systems are defined and can be solved simultaneously...
pls lime and follow me ...i follow back...thanks
Find the slope of a line parallel to each given line and graph.
y=9x+5
Answer:
9
Step-by-step explanation:
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 9x+5
The slope is 9
Parallel lines have the same slope so a line parallel would have a slope of 9
Answer:
i think the slope is 9.
because y= 9x+5 is in the form of slope intercept form.
as y=mx + c (where m is the slope of the equation.)
therefore, the slope (m )= 9....ans
hope it helps....
Find the area of this triangle..
Answer:
Step-by-step explanation:
For this problem, we have to use Heron's Formula.
S= (a + b + c)
over 2
And then √S( S-a) (S-b) (S-c)
That's the formula, now to plug in the numbers.
S= 12+12+21.2
over 2
that equals 45.2/ 2= 22.6'
Now we found s, so we can plug in the second step of the formula...
√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )
This equals √ 22.6 (10.6) (10.6) (1.4)
and that equals...
59.624411 = or rounded it up to 60.
Dave ran 3.52 miles in the same time
that Eric ran 2.44 miles. How much
further did Dave run than Eric?
3
8
9
10
TIMEI
01:
C D
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
2 + 7c-4c2 – 30 + 4
4c2 + 4c + 6
-7c2 + 10C + 6
O4c2 + 4C + 8
0-7c2 + 70 +6
Answer:
A. -4c^2+4c+6
Step-by-step explanation:
2+7c-4c^2-3c+4
-4c^2+7c-3c+4+2
-4c^2+4c+6
How are the graphs of the functions f(x) = . 16and g(x) = 3/64 related?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
Answer: A there are equivalent.
Step-by-step explanation:
f(x) = [tex]\sqrt{16}^x[/tex] reduces to f(x)=[tex]4^{x}[/tex]
g(x)= [tex]\sqrt[3]{64}^{x}[/tex] also reduces to g(x) = [tex]4^{x}[/tex]
The function g(x) equal to f(x).
What is the exponent?A quantity representing the exponent to which a given number or letter is to be raised is usually expressed as a raised symbol beside the number or letter. It is expressed as aˣ is a variable and a is constant.
Given are two functions, f(x) = √16ˣ and g(x) = ∛64ˣ,
We need to find the relation between the function,
So,
√16 = 4
∛64 = 4
Functions can be written as, f(x) = 4ˣ and g(x) = 4ˣ,
It is clear that g(x) equal to f(x) because g(x) is having power equal than f(x).
Thus, It is clear that g(x) is equal to f(x).
More about the exponent link is given below.
brainly.com/question/5497425
#SPJ7
Log3+log9+log27+log81+...... Question: how many terms of the section log2187?
Answer:
7th term.
Step-by-step explanation:
The given series is
[tex]\log 3+\log 9+\log 27+\log 81+...[/tex]
We need to find the number of term log 2187.
Here, terms inside the log are 3, 9, 27, 81, ... are in G.P.
First term = 3
Common ratio [tex]=\dfrac{9}{3}=3[/tex]
nth term of a G.P. is
[tex]a_n=ar^{n-1}[/tex]
where, a is first term and r is common ratio.
[tex]2187=3(3)^{n-1}[/tex]
Divide both sides by 3.
[tex]729=(3)^{n-1}[/tex]
[tex]3^6=(3)^{n-1}[/tex]
On comparing both sides, we get
[tex]n-1=6[/tex]
[tex]n=7[/tex]
Since 7th term of the G.P. 3, 9, 27, 81, ... is 2187, therefore, 7th term of [tex]\log 3+\log 9+\log 27+\log 81+...[/tex] is log 2187.
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigger than 48 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?
Answer: 6 feet to 8 feet
Step-by-step explanation: 6x4=24 8x6=48
The question i want to know is linked below. Please help :)
Answer:
Hey there!
To solve this problem, we want to find the LCM (least common multiple) of the two numbers.
The numbers are 25 and 30.
25=5x5
30=2x3x5
LCM is 5x5x2x3, or 150.
Thus, in 150 minutes is when the next bus will leave.
150 mins is equal to 2 hours and 30 mins, or 2.5 hours.
8 AM + 2.5 hrs = 10:30 AM.
Thus, the next time the busses leave together would be at 10:30 AM.
Let me know if this helps :)
Gwen and Bryn drive to work.
Gwen drives 65 miles in 2.5 hours.
Bryn drives 76 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h
Answer: 18.96 km/h
Step-by-step explanation:
Gwen:
65 miles = 104.6 km
104.6 km / 2.5 h = 41.84 km/h
Bryn:
15 min = 0.25 h
76 km / 1.25 h = 60.8 km/h
Difference:
60.8 - 41.84 = 18.96 km/h
Hope this helps!
blanca buys 2 gallons of green paint. she needs 5 quarts to paint her front porch and 1/2 quart to paint the front porch swing. how many quarts of paint does blanca have left
Answer:
0.625 gallons
Step-by-step explanation:
1 gallon = 4 quarts
2 gallons = 2 × 4 quarts = 8 quarts
She used = 5 quarts
Usage of paint the front porch swing = quart = 0.5 quart
used paint = 5 + 0.5 = 5.5 quarts
subtract used paint by starting amount
paint that was not used= 8 quarts - (5.5 quarts) = 2.5 quarts.
used green paint is 2.5 quarts or 0.625 gallons.
Question 16 PLEASE HELP for f(x) =-2x+4,find f(x) when x=-3
Answer: 10
Step-by-step explanation:
-2(-3)+4=f(x)
6+4=f(x)
10=f(x)
Hope it helps <3
Answer:
10
Step-by-step explanation:
We are given:
f(x)= -2x+4
and told to find f(x) when x= -3
X is equal to -3, therefore we can substitute -3 in for x.
f(x)= -2x+4 when x= -3
f(-3)= -2(-3)+4
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, multiply -2 and -3. Multiplying 2 negative numbers makes a positive number.
f(-3)= 6+4
Add 6 and 4
f(-3)=10
When x= -3, f(x) is 10
Connect the problems that have the same answer. a. 36·4+36·9 1. (8+2)·19 b. 17·(18−15) 2. 11·(14+6) c. 8·19+2·19 3. 17·18−17·15 d. (26−18)·6 4. 36·(4+9) e. 11·14+11·6 5. 26·6−18·6
Answer:
The problems with same answers are:
(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).
Step-by-step explanation:
The two sets of problem are as follows:
Set 1 Set 2
a. 36·4+36·9 1. (8+2)·19
b. 17·(18−15) 2. 11·(14+6)
c. 8·19+2·19 3. 17·18−17·15
d. (26−18)·6 4. 36·(4+9)
e. 11·14+11·6 5. 26·6−18·6
The matched pairs are as follows:
a. 36·4+36·9 = 36·(4 + 9) → 4. 36·(4+9)
b.17·(18−15) = 17·18−17·15 → 3. 17·18−17·15
c. 8·19+2·19 = (8 + 2)·19 → 1. (8+2)·19
d. (26−18)·6 = 26·6−18·6 → 5. 26·6−18·6
e. 11·14+11·6 = 11·(14+6) → 2. 11·(14+6)
Thus, the problems with same answers are:
(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).
If AC =4.5 what is the measure of AB
Answer:
f
Step-by-step explanation:
f
Answer:
[tex]\boxed{AB = 9}[/tex]
Step-by-step explanation:
AB = 2(AC) {Because a line segment drawn from a center of a circle bisect the chord opposite to it}
So,
AB = 2(4.5)
AB = 9
Can someone please help me I really need help please help me thank you
Answer:
97
Step-by-step explanation:
the shape leans a little so it's more than 90
find the exact length of the third side
Answer:
8
Step-by-step explanation:
We will the pythagorian theorem :
let x be the third side x²+6²= 10²x²= 100-36 x=[tex]\sqrt{64}[/tex] x=8Answer:
b=8
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle:
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a=6 and b = 10
6^2 + b ^2 = 10^2
36+ b^2 = 100
b^2 = 100-36
b^2 = 64
Taking the square root of each side
sqrt(b^2) = sqrt(64)
b = 8
A system of equations is shown: 4x = −3y + 17 3x − 4y = −6 What is the solution to this system of equations? what lines are they, plz help
Answer:
[tex]\boxed{\sf \ \ \ x=2 \ \ y=3 \ \ \ }[/tex]
Step-by-step explanation:
Hello, we have two equations and two unknowns
(1) 4x = -3y + 17
(2) 3x - 4y = -6
We can solve them algebraically
for instance from (1) we can divide by 4 and then write
(1') [tex]\dfrac{4x}{4}=x=\dfrac{-3y+17}{4}[/tex]
and then replace this expression of x in (2) it comes
[tex]3*\dfrac{-3y+17}{4}-4y=-6 \ \ \ multiply \ by \ 4 \\<=> -3*3y+3*17-4*4y=-6*4\\<=> -9y+51-16y=-24 \ \ \ substract \ 51\\\\<=> -25y=-24-51=-75 \ \ \ divide \ by \ -25\\<=> y = \dfrac{75}{25}=3[/tex]
and then
[tex]x=\dfrac{-3*3+17}{4}=\dfrac{-9+17}{4}=\dfrac{8}{4}=2[/tex]
we can solve it graphically as well
we just need to graph the two lines and find the intersection point as shown below
hope this helps
(-30) x ______ = (-270)
Find the angle which an arc of length 22 cm
subtends at the centre of a circle of radius 15 cm
[Take = 221(a) 70°(b) 84° (c) 96° (d) 156° an
Answer: B.) 84°
Step-by-step explanation:
Given the following :
Radius of circle(r) = 15cm
π = 22/7
Length of arc (L) = 22cm
The length of an arc is calculated using :
Length (L) = (Θ / 360) × 2πr
22 = (Θ / 360) × 2 × 22/7 × 15
22 = Θ × 660 / (360 * 7)
22 = Θ × 660 / 2520
Θ × 660 = 22 × 2520
Θ = 55440 / 660
Θ = 84°
what is the slope of the line that contains these points (-2 2) and (3 3)
Answer:
[tex]\bold{m=\dfrac15}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,2)\ \implies\ x_1=-2\,,\ y_1=2\\(3,\,3)\ \implies\ x_2=3\,,\ y_2=3\\\\m=\dfrac{3-2}{3-(-2)}=\dfrac{1}{3+2}=\dfrac15[/tex]
Solve this problem T=u+v/2 solve for u
Answer:
u = 2T - v[tex]T = \frac{u + v}{2} [/tex]
Cross multiply
We have
2T = u + v
u + v = 2T
Move v to the right side of the equation to make u stand alone
We have the final answer as
u = 2T - vHope this helps you
A line contains the point (8,-5). If the slope of the line is write the equation of the line using point-slope form
Answer:
[tex]\bold{y+5=\frac57(x-8)}[/tex]
Step-by-step explanation:
[tex]y-y_1=m(x-x_1)[/tex] - point-slope form of Equation of the Line
[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]