The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.
How to find angle of a triangle using sine rule
Let's find angle Y using sine rule,
Hence,
x / sin X = y / sin Y
where
x = 8.5 cmy = 8.6 cm∠X = 100°8.5 / sin 100° = 8.6 / sin Y
cross multiply
8.5 sin Y = 8.6 sin 100°
sin Y = 8.6 sin 100° / 8.5
sin Y = 8.4693466759 / 8.5
Y = sin ⁻¹ 0.99639372657
Y = 85.1325941735
∠Y = 85.1°
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Sketch the graph of the function y=3 sin(2x)-1
Function: y = 3sin(2x) - 1
Find y-intercept:
y = 3sin(2x) - 1y = 3sin(2(0)) - 1y = -1Formula for minimum: m = A ‐ |B|
Minimum:
-1 - |3|-4=========
When y = -4
3sin(2x) - 1 = -43sin(2x) = -3sin(2x) = -12x = sin⁻¹(-1)2x =-450°, -90°, 270°, 630°x = -225°, -45°, 135°, 315°Formula for maximum: M = A + |B|
Maximum:
-1 + |3|2=========
When y = 2
3sin(2x) - 1 = 2sin(2x) = 12x = sin⁻¹(1)2x = -630°, -270°, 90°, 450°x = -315°, -135°, 45°, 225°Now we can plot the graph for the equation in range of -360° < x < 360°
For more graphing problems: brainly.com/question/27117441
Answer:
[tex]y=A\sin(B(x+C))+D[/tex]
Amplitude = A
The height from the center line to the peak (or trough).
Period = (2π)/B
The horizontal distance from one peak to the next.
Phase shift = C
How far the function is shifted horizontally from its usual position.
(positive is to the left, negative is to the right).
Vertical shift = D
How far the function is shifted vertically from its usual position.
Parent function:
[tex]y=\sin(x)[/tex]
Therefore:
Amplitude = 1Period = 2πPhase shift = noneVertical shift = noneGiven function:
[tex]y=3\sin(2x)-1[/tex]
[tex]y=3\sin(2(x+0))-1[/tex]
Therefore:
Amplitude = 3Period = πPhase shift = noneVertical shift = -1**See attached images for how the parent function is transformed to the final function**
Last Thursday you bought a total of 33 school supply items. You spent $58 Pencils are $1.50 and glue sticks are $2 each. How many of each item did you buy? (5 pts)
Answer:
16 pencils and 17 glue sticks
Step-by-step explanation:
X=pencils
Y=glue sticks
X+Y=33
1.50X+2Y=58
times ten to get whole numbers
=15X+20Y=580
same for e1
=10X+10Y=330
15X+20Y=580
10X+10Y=330
elimination mthd
150X+200Y=5800
150X+150Y=4950
50Y= 850
Y=17
X+17=33
X=33-17
X=16
Is the quadratic equation y
= 5x² - 6x + 1 in standard form
or in vertex form? What is the vertex?
Answer:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet.
Step-by-step explanation:
this equation is stander form
what is (5.03x -8.03) - (3.5x +6.2)?
Answer:
1.53x−14.23
Step-by-step explanation:
simplify:
5.03x−8.03−(3.5x+6.2)
Distribute the Negative Sign:
=5.03x−8.03−1(3.5x+6.2)
=5.03x−8.03−1(3.5x)+(−1)(6.2)
=5.03x−8.03−3.5x−6.2
Combine Like Terms:
=5.03x−8.03+−3.5x−6.2
=(5.03x−3.5x)+(−8.03−6.2)
=1.53x−14.23
(5.03x -8.03) - (3.5x +6.2)=
Use PEMDAS to evaluate the expression 18 − 35 ÷ 5 + 4 x 8. ANSWERS: 37 40 43 46
PLSSS HELP IT WOULD MEAN A LOT TO ME
Answer:
43
Step-by-step explanation:
first we do 35/5=7 then 18-7=11. then 4*8=32. 32+11=43
Answer:
C. 43
Step-by-step explanation:
1. 35 ÷ 5 = 7
2. 4 x 8 = 32
3. 18 - 7 = 11
4. 11 + 32 = 43
Therefore the answer, is C. 43.
You're welcome! :)
Maura is jogging on her treadmill. She runs 2.25 miles in
1
2
of an hour. At that speed, how many miles could Maura run in 1
1
2
hours?
Answer:
6.75 miles
Step-by-step explanation:
Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.
hope that helps
Answer:
6.75 miles
Step-by-step explanation:
How many 1/2 hours in 1 1/2 hour? 1.5 ÷ 0.5 = 3
2.25 x 3 = 6.75
OR
Find the unit rate = 2.25 x 2 = 4.50 (we multiply it by 2 because there 2 half hours in an hour)
4.50 x 1.50 = 6.75
Brainliest available
Find "X"
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4 + 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 13[/tex]
hence, value of x is 13
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
Answer:
x = 13
Step-by-step explanation:
[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]
[tex]\mathrm{multiply}[/tex]
[tex]4^2=16[/tex]
[tex]2^9=512[/tex]
[tex]16*512=8192[/tex]
[tex]8192=2^x[/tex]
[tex]\mathrm{Flip \;the \;equation}[/tex]
[tex]2x=8192[/tex]
[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]
[tex]x*(log(2))=log(8192)[/tex]
[tex]x=\frac{log(8192)}{log(2)}[/tex]
[tex]x=13[/tex]
[RevyBreeze]
Give the slope of y+2=3(x-7) and point on the line
Step-by-step explanation:
y+2=3(x-7)
y+2=3x-21
y=3x-21-2
y= 3x-23
Slope is 3
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.
We are given;
y + 2 =3(x - 7)
So we rearrange this into slope intercept form.
y + 2 = 3(x - 7)
Simplify:
y + 2 = 3x - 21
Apply inverse operation of addition (subtraction).
-2 -2
y = 3x - 23
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)
Answer:
271.2 meters
Step-by-step explanation:
See attached image.
Choose the correct simplification of the expression f4 • f8. f2 f4 f12 f32
Answer:
f^12
Step-by-step explanation:
f^4 * f^8
We that a^b * a^c = a^(b+c)
f^(4+8)
f^12
Hello!
We have the following expression:
[tex]\bf{f^4*f^8}[/tex]
Recall the Properties of Exponents:
[tex]\bold{a^ma^n=a^{m+n}}[/tex]
According to the property, if we have the same bases multiplied together, then we just add their exponents:
[tex]\bf{f^4f^8=f^{4+8}}[/tex]
Simplify:
[tex]\bf{f^{12}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
[tex]\rule{2}{2}[/tex]Knowledge is Power!
Clinton has a spinner labeled orange, blue, green and pink. He spins the spinner 100 times. He gets orange 33 times. What the experimental probability of him getting an orange? in fraction form
Explanation:
Divide the number of times orange shows up (33) over the number of total spins (100). Reduce the fraction if possible. In this case, 33/100 is fully reduced because 33 and 100 have no common factors other than 1.
Over what intervals is the average rate of change of f(x) = 5x greater than the average rate of change of g(x) = 25x? Select all that apply. A. 0 ≤ x ≤ 3 B. 0 ≤ x ≤ 2 C. 3 ≤ x ≤ 6 D. 1 ≤ x ≤ 2
The average rates of change of a function f(x) and g(x) are their slopes
The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)
How to determine the average rate of change?The average rate of change of a function f(x) over the interval [a,b] is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
The average rates of change of the functions over the intervals are:
A. 0 ≤ x ≤ 3
[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)
B. 0 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)
C. 3 ≤ x ≤ 6
[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)
D. 1 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)
From the above computation, we can see that:
The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x
Read more about average rates of change at:
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Fill in the missing pieces to solve for x:
Answer:
A: (x-4) squared
B: x+2
C: 9
D: 14
E: 7
F: 2
Step-by-step explanation:
A: This is because x^2 - 8x + 16 factored is (x-4) squared
B: Square root of something squared will remove the square root
C: Minus the variable x and 2 from the right side
D: Factor
E/F: These numbers make the right side become zero
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
Please help! I am confused.
Answer:
z = 180°
Step-by-step explanation:
First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.
S = (n-2)180
S = (6 - 2)180
S = (4)180
S = 720°
Next, make an equation adding all the interior angles and setting them equal to 720.
t + t + 2t + t + t + 2t = 720
8t = 720
8t/8 = 720/8
t = 90°
Finally, find the measure of angle z by substituting 90° for t.
z = 2t
z = 2(90)
z = 180°
what are irrational numbers? give examples.
Answer:
set of numbers that cannot be represented in form of a/b
examples square root of 2, 3, 5 and 6
What are the two conditions that an asset of a business needs to fulfill?
Answer:
✒️Answer:Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.
Step-by-step explanation:
#CarryOnLearning[tex]watch.some.anime[/tex]
How can you best describe a stop sign using polygons? The sign has sides, so it is. It appears to be because the sides and angles appear to be congruent.
The stop sign is an octagon or regular polygon.
It is given that a stop sign has 8 sides.
It is required to describe the sign using a polygon.
What is a polygon?It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.
We have a stop sign that has 8 sides.
As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.
The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.
Thus, the stop sign is an octagon or regular polygon.
Learn more about the polygon here:
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Answer:
8, octagon, & regular
Step-by-step explanation:
I did it
How can you decompose the composite figure to determine its area? as two semicircles and a rectangle as two circles and a rectangle as a circle and a square as two semicircles and a trapezoid.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a composite figure can be decomposed to smaller figures so as to find the area.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
Find out more on area at: https://brainly.com/question/25292087
Answer:
A. as two semicircles and a rectangle
Step-by-step explanation:
i did it
The sum of a number $x$ and 4 equals 12.
An equation that represents this sentence is
.
Answer:
(3 x 1) x 4 = 12
In Zoe's grade, there are 90 students. Currently, 90% of them are enrolled in health. How many students are enrolled in health?
Answer: 81
Step-by-step explanation:
90% is the same as 0.9
We can multiply .9 by 90 to see how many students are enrolled in health
0.9×90=81.0
Answer:
[tex]\huge\boxed{\sf 81\ students }[/tex]
Step-by-step explanation:
Total students = 90
Enrolled in health:
= 90 % of 90
[Key: "of" means "to multiply" and "%" means "out of hundred"]
[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]
So, 81 students are enrolled in health.
[tex]\rule[225]{225}{2}[/tex]
Petra and jonhah are going on holiday to Poole
Petra buys 3 new shirts for her holiday
each shirt cost 9pound
how much does Petra pays in total
another one
Petra and Jonah has this information
home to the train station. 12 minutes
train to Poole 47 minutes
jonah says it will take less that 60 minutes in total to go from home to Poole.
Answer:
question one
one shirt cost=9pound
3 shirts=3*9=27pound
2x + 3y = 15
x + y = 6
work out x and y
Answer:
x=3
y=3
Step-by-step explanation
Here we have been given with two equations and we will solve them by substitution by elimination method.
2x + 3y = 15 (Equation No 1)x + y = 6 (Equation No 2)Transposing y in 1st equation from L.H.S. to R.H.S. it would be negative,
[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y}[/tex]
Now, we would substitute this value of x in Equation No 1.
[tex] \implies \: \displaystyle\sf{2 \: (6 - y) \: = \:15 }[/tex]
[tex] \implies \: \displaystyle\sf{2 \: \times (6 - y) \: = \:15 }[/tex]
[tex]\implies \: \displaystyle\sf{12 - 2y \: = \:15 }[/tex]
Transposing 12 to R.H.S.,
[tex] \implies \: \displaystyle\sf{ - 2y \: = \:15 - 12 }[/tex]
[tex]\implies \: \displaystyle\sf{ - 2y \: = \:3}[/tex]
[tex]\implies \: \displaystyle\bf{ y \: = \: - \dfrac{3}{2} }[/tex]
Therefore, value of y is - 3/2.
★ Finding out value of x:-
[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y }[/tex]
[tex]\implies \: \displaystyle\sf{x \: = \: 6 - ( \dfrac{ - 3}{ 2} )}[/tex]
[tex]\implies \: \displaystyle\sf{x \: = \: \frac{12 + 3}{2} }[/tex]
[tex]\implies \: \displaystyle\bf{x \: = \: \frac{15}{2} }[/tex]
Henceforth,
Value of x is 15/2.A pharmaceutical company has developed a new drug for people with psoriasis, a skin condition. Researchers would like to estimate the proportion of users who saw improvement in their skin after using the drug. Let p represent the true proportion of users whose skin improved. Which of the following is the smallest number of users the researchers can survey to guarantee a margin of error of 0.05 or less at
the 99% confidence level? (Use p^ = 0.5)
a. 600
b. 650
c. 700
d. 750
======================================================
Explanation:
At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.
We're given that [tex]\hat{p} = 0.5[/tex] as the sample proportion and E = 0.05 is the desired error.
The min sample size n is:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\[/tex]
Always round up to the nearest integer.
Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.
determine if the expressions
are
7. 2 - 2 + 5x; 5x
x=? degrees
WHAT IS THE ANSWER
y=- 8x - 20
How do I graph this
Answer: Here, this should help ya out :
With graphing lines and slopes use desmos graphing calulator dont worry, its safe ;)
Answer:
See below ↓
Step-by-step explanation:
Step 1 : Mark the y-intercept.
b = -20Therefore, the y-intercept's coordinates are : (0, b)⇒ (0, -20)Step 2 : Draw the slope.
m = -8Therefore after marking the y-intercept you can either mark a point 8 spaces up, 1 to the left or mark a point 8 spaces down, 1 to the rightAfter doing this, join the two points using a ruler and draw a line Your graph is ready!It should look like this :What is the radical form of 32x 1/6 ?
Step-by-step explanation:
Given:
32^(1/6)
To Find:
Convert to Radical form 32^(1/6)?
Solution:
here, given that- 321/6
Since, we know that - If n is a positive integer
that x and a is a real number or a factor, then
an = Vu?
=
now, using this rule to convert 321/6 to a radical,
where a=32, x=1 and n=6
√32
Hence,
Exact form:
32
Decimal Form:
2
HELP ASAP
(will give brainliest)!
Answer:
42°
Step-by-step explanation:
∠NML = ∠ZYX =88°
Angles in a triangle add up to 180 so ∠ZXY =
180 - (50+88)
180-138
42
∠ZXY = 42°
Complete the steps to solve the equation -18x - 17 = 107 write the original equation apply the addition property of equality
[tex]-\frac{62}{9}[/tex]
Step-by-step explanation:The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.
Solving the Equation
First, rewrite the equation
[tex]-18x - 17 = 107[/tex]Next, apply the addition property of equality and add 17 to both sides
[tex]-18x=124[/tex]Finally, apply the division property of equality and divide both sides by -18
[tex]x=\frac{124}{-18}[/tex]Then, simplify for the final answer (divide numerator and denominator by 2)
[tex]x=-\frac{62}{9}[/tex]