Answer:
y = 189.8
Step-by-step explanation:
Apply trigonometric function to find y.
Reference angle (θ) = 50°
Adjacent side = 122
Hypotenuse = y
Apply CAH, since the Hypotenuse and the Adjacent are involved.
Thus:
Cos θ = Adj/Hypo
Plug in the values
Cos 50° = 122/y
y*Cos 50° = 122
y = 122/cos 50°
y = 189.8 (beater tenth)
Jared has 20 flowers. He wants to plant all of the flowers in equal rows in his garden. What are the different ways Jared can arrange the flowers in equal rows? Solve this problem any way you choose.
Answer:
5 rows of 4 each
4 rows of 5 each
2 rows of 10 each
10 rows of 2 each
1 row of 20
20 rows of 1
Step-by-step explanation:
Giải phương trình
X^2 +2x-3=?
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:(x - 1)(x + 3) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + 2x - 3[/tex]
[tex] = {x}^{2} + 3x - x - 3[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = x(x + 3) - 1(x + 3)[/tex]
Taking the factor [tex](x+3)[/tex] as common,
[tex] = (x - 1)(x + 3)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Choose the fraction that is greater than 5/9
===========================================
Convert each fraction shown to decimal form
5/9 = 0.555557/16 = 0.43750 8/15 = 0.53333 6/11 = 0.54545 14/23 = 0.60870With the exception of 7/16 = 0.43750, the other decimal values are approximate.
From that list, we can see the decimal representations of 7/16, 8/15, and 6/11 are all smaller than the decimal version of 5/9. So we rule out choices A, B, and C. The answer must be choice D.
Sure enough, 14/23 = 0.60870 is indeed larger than 5/9 = 0.55555
---------------------
We can show this another way:
First off, assume that 14/23 and 5/9 are equal. We'll cross multiply and show a contradiction happens
14/23 = 5/9
14*9 = 23*5
126 = 115
The contradiction happens since we should get the same value on both sides if the two sides were equal, but they're not equal.
If we replace each equal sign with a greater than sign, then we get,
14/23 > 5/9
14*9 > 23*5
126 > 115
You can think of it like working backwards up the chain.
your teacher plotted a set of cordinetes that contained a negative x and positive y Wich point graphed below could represent the point plotted
Answer:a
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
This set of coordinates does represent a point [tex]P(x,y)[/tex].
Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as
[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]
José tiene 30 años menos que su padre y 27 más que su hijo. entre los 3 suman 135 años ¿ cuántos años tiene cada uno?
Answer:
44 años tiene jose . el padre 74 y el hijo 17 años.
Step-by-step explanation:
Convert: (a) 250 liters to kiloliters, (b) 4.5 liters to milliliters.
Answer:
a) 0.25 kl
b) 4500 ml
Step-by-step explanation:
a)
1 kiloliter = 1000 liters
x kiloliters = 250 liters
[tex]x = \frac{250}{1000} = 0.25 \ kiloliters[/tex]
b)
1 liter = 1000 milliliters
4.5 liters = x
[tex]x = 4.5 \times 1000 = 4500 \ milliliters[/tex]
Help me complete this
Answer:
x = 9.9 in.
Step-by-step explanation:
area of triangle = base * height /2
49 = x*x /2
49*2 = x^2
98 = x^2
[tex]\sqrt{98}[/tex] = x
[tex]7\sqrt{2}[/tex] = x
9.9 = x
PLEASEEEEE HELPPPPPPPP
Answer:
f(-5) = -195
Step-by-step explanation:
Given that,
[tex]f(x)=x^3-2x^2+3x-5[/tex] ....(1)
and
[tex]g(x)=x^2+x-1[/tex]
We need to find the value of f(-5).
Put x = -5 in equation (1).
[tex]f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195[/tex]
So, the value of f(-5) is equal to (-195).
Lol, can someone help me please?
Answer:
1. 11/26 because you add all of the numbers together and thats how i got 26 then you simplify 11/26 which is the simplist form.
2. 5/13 because you simplify 10/26 which equals 5/13
3. 5/26 because it is already in the simplist form
Step-by-step explanation:
~ Hope this helped u Kaitilyn :)))))
Answer:
11/26 is red, 10/26 is yellow, and 5/26 is blue
Step-by-step explanation:
So, to find the probabilities, we must figure out the total amount of frequency found. To do this lets add up the frequencies of red blue and yellow:
11+10+5 = 26
So our total is 26.
This will be the denominator of our fractions. The numerator will be the amount of the specific freuqency we are looking at.
So reds would be:
11/26 - Frequency of red over Total frequency = Ratio
10/26 - Frequency of red over Total frequency = Ratio
5/26 - Frequency of red over Total frequency = Ratio
So these are your 3 answers!
Hope this helps!
Polygon ABCDE is reflected to produce polygon A’ B’ C’ D’ E’. What is the equation for the line of reflection?
Options:
A. y=0
B. x=0
C. x=2
D. y=1
Answer:
B. x=0
Step-by-step explanation:
The Polygon ABCDE is reflected by
y-axis => x=0 , to produce polygon A’ B’ C’ D’ E’
Answer:
B. x = 0
Step-by-step explanation:
Plato
is the function given by G(x) - 1/x-6 continuous over the interval (1, ∞)? Why or why not?
a. No, the function is not continuous at x=
b. Yes, the function is continuous over (1,∞) because lim x>a G(x)= G(a) for all a in (1,∞).
Answer:
No, the function is not continuous at x=
Find the Diameter of the circle, whose radius is 17 cm.
Answer:
34 cm
Step-by-step explanation:
The radius is half of the diameter, so 17 cm is half of 34 cm.
Diameter = 34 cm
Find the solution of the differential equation that satisfies the given initial condition.
dy/dx = x/y, y(0) = −3
Answer:
y=-sqrt(x^2+9)
Step-by-step explanation:
This problem can be solved with the help of separating the variables.
dy/dx=x/y
Multiply both sides by y
y dy/dx=x
Multiply both sides by dx
y dy=x dx
Integrate
y^2/2=x^2/2+c
Let's find c using the condition y(0)=-3.
(-3)^2/2=(0)^2/2+c
9/2=0+c
9/2=c.
The equation is y^2/2=x^2/2+9/2.
Let's make this a bit prettier multiplying both sides by 2:
y^2=x^2+9
Taking square root of both sides gives:
y=+/- sqrt(x^2+9)
Since we want y(0)=-3, then we will choose
y=-sqrt(x^2+9).
The math score for ten of Mrs. Moore's students are shown below. How many students made a score of more than 69 but less than 90?
Answer:
8
Step-by-step explanation:
first, 70-79 have 3 students
then 80-89 have 5 students
What’s the word for this definition? “The change in the Y values divided by the change in X values”
Answer:
slopes is the ratio of the change in the y value over the change in the x value
A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preference is as follows:
Design 1 Design 2 Design 3
54 38 28
Required:
Do the results indicate any significant preferences among the three designs?
Answer:
There is significant preference among the 3 designs
Step-by-step explanation:
Given :
Design 1 Design 2 Design 3
54 38 28
H0 : no significant preference among the 3 designs
H1 : The preference among the designs are different
To test, we use the Chisquare test for independence ;
χ² = (observed - Expected)² / Expected
The sample size, n = 120
Expected = 120 / number of designs = 120 / 3 = 40
(54-40)^2/ 40 + (38 - 40)² / 40 + (28 - 40)² / 40
= 4.9 + 0.1 + 3.6
= 8.6
The Chisquare critical value at 95% = 5.99
Since ;
|χ² critical| < χ² statistic ; we reject the null and conclude that there is significant preference among the 3 designs
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 2
a. Find dy/dt, when x = 4, given that dx/dt = 13.
b. Find dx/dt, when x = 1, given that dy/dt = -9.
Answer:
a. [tex]\frac{dy}{dt} = -\frac{13}{8}[/tex]
b. [tex]\frac{dx}{dt} = \frac{9}{2}[/tex]
Step-by-step explanation:
To solve this question, we apply implicit differentiation.
xy = 2
Applying the implicit differentiation:
[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = \frac{d}{dt}(2)[/tex]
[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = 0[/tex]
a. Find dy/dt, when x = 4, given that dx/dt = 13.
x = 4
So
[tex]xy = 2[/tex]
[tex]4y = 2[/tex]
[tex]y = \frac{2}{4} = \frac{1}{2}[/tex]
Then
[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = 0[/tex]
[tex]\frac{1}{2}(13) + 4\frac{dy}{dt} = 0[/tex]
[tex]4\frac{dy}{dt} = -\frac{13}{2}[/tex]
[tex]\frac{dy}{dt} = -\frac{13}{8}[/tex]
b. Find dx/dt, when x = 1, given that dy/dt = -9.
x = 1
So
[tex]xy = 2[/tex]
[tex]y = 2[/tex]
Then
[tex]y\frac{dx}{dt} + x\frac{dy}{dt} = 0[/tex]
[tex]2\frac{dx}{dt} - 9 = 0[/tex]
[tex]2\frac{dx}{dt} = 9[/tex]
[tex]\frac{dx}{dt} = \frac{9}{2}[/tex]
prove that
SinA÷tanA=cosA
Step-by-step explanation:
sinA/tanA
=>sinA ÷ sinA/cosA
=>sinA x cosA/sinA
=>cosA
Step-by-step explanation:
Hey there!
LHS
[tex] = \frac{ \sin(a) }{ \tan(a) } [/tex]
[tex] = \sin(a) \times \frac{ \cos(a) }{ \sin(a) } [/tex]
= cos A
Proved!!
Hope it helps!
Which of the following lists of ordered pairs is a function?

A.
(1, 2), (1, –2), (3, 2), (3, 4)

B.
(0, 2), (2, 3), (0, –2), (4, 1)

C.
(1, 6), (2, 7), (4, 9), (0, 5)

D.
(2, 4), (0, 2), (2, –4), (5, 3)
The answer is C
Step-by-step explanation:
Not sure I can't really give an explanation but its C
rational numbers.
Example 6: Write any 3 rational numbers between –2 and 0.
-20
0
ondas
-
Answer:
my firnd coli
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Tích các nghiệm của phương trình Log(x-1)²=2 là
Answer:
-99
Step-by-step explanation:
Log(x-1)²=2
Log(x-1)²=Log(100)
(x-1)²=100
x-1=10 and x-1=-10
x₁=11 and x₂=-9
x₁ × x₂ = 11 × (-9) = -99
Someone please help T.T I need help ASAP
Step-by-step explanation:
Given that,
The quadratic equation that models the ball's height above the ground h, t seconds after it was thrown is given by :
[tex]h=-16t^2+108t+28[/tex] ...(1)
(a) For maximum height, put dh/dt = 0
So,
[tex]\dfrac{d(h)}{dt}=\dfrac{d}{dt}(-16t^2+108t+28)=0\\\\-32t+108=0\\\\t=\dfrac{108}{32}=3.37\ s[/tex]
Put the value of t in equation (1).
So,
[tex]h=-16(3.37)^2+108(3.37)+28\\\\h=210.24\ ft[/tex]
(b) When the ball reaches the ground,
h = 0
So,
[tex]-16t^2+108t+28=0\\\\t=7\ s[/tex]
So, the ball hits the ground in 7 seconds.
If l=10 b=5 and h=2, find the values of 2(lb+bh+lh)
Answer:
160
Step-by-step explanation:
[tex]2((10)(5)+(5)(2)+(10)(2))\\2(50+10+20)\\2(80)\\160[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{2(lb + bh + lh)}\\\\\large\textsf{= 2(10(5) + 5(2) + 10(2))}\\\\\large\textsf{10(5) = \boxed{\bf 50}}\\\\\large\textsf{= 2(50 + 5(2) + 10(2))}\\\\\large\textsf{5(2) = \boxed{\bf 10}}\\\\\large\textsf{= 2(50 + 10 + 10(2))}\\\\\large\textsf{50 + 10 = \boxed{\bf 60}}\\\\\large\textsf{= 2(60 + 10(2))}\\\\\large\textsf{10(2) = \boxed{\bf 20}}\\\\\large\textsf{= 2(60 + 20)}\\\\\large\textsf{60 + 20 = \boxed{\bf 80}}\\\\\large\textsf{= 2(80)}\\\\\large\textsf{= \boxed{\bf 160}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 160}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Correct answer plz. 15 points. Reported for wrong answer. Thx
Third option is the right answer:
−2x + 4y ≥ 0
Given that yx is a diameter of V, find mZVX if mYVZ=(15r -1)", mWVX =(8x- 2).mUVW =(7x +15).
and mYVU = 3x + 5).
A 32
B 45°
C 70
D. 134
Which angles are complementary? I'm not sure if its B.
Answer:
You are right, it's B
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
Answer:
The answer is B. the measure of angle GPF and the measure of angle GPH.
Step-by-step explanation:
Two angles are called complementary when their measures add to 90 degrees.
Since the measure of angle FPD has a known angle measure of 90 degrees, the measure of angle FPH is also 90 degrees.
Thus, causing the measure of angle GPF and the measure of angle GPH to add up to 90 degrees, which makes the two angles complementary.
-5x=25 how to solve this problem
HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss
Answer:
d=67257
c=93
Step-by-step explanation:
A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?
Give your answer as a whole number.
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
87 gallons
Step-by-step explanation:
5 gallons: 3 weeks = x gallons: 52 weeks
5/3 = x/52
3x = 260
x= 86.6, about 87 gallons
mong moi nguoi giup do