Similar: yes
Similarity statement: [tex]ADCB \sim SVUT[/tex]
Scale factor: 1/3
3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360
Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast, before tip?
Answer:
$1.44
Step-by-step explanation:
1.80x20%
Answer:
$ 1.44
Step-by-step explanation:
Multiply 1.80 and 20%
what two numbers multiple to -24 and add up to 2
Answer:
-4 and 6
Step-by-step explanation:
solve
2. y+0.4=2
what is y?
The answer is,
[tex]y = 1.6[/tex]
Answer:
Y = 1.6
Step-by-step explanation:
Y = 2 - 0.4
Y = 1.6
HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
A number that adds with 2/3 substrate 1/3 will be 8.What should be the number??
Answer:
The number is [tex]\frac{23}{3}[/tex]
Step-by-step explanation:
I am going to call the number x.
A number that adds with 2/3 subtract will 1/3 will be 8.
As an equation, this is:
[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]
Now we solve the equation to find x. So
[tex]x + \frac{2-1}{3} = 8[/tex]
[tex]x + \frac{1}{3} = 8[/tex]
[tex]x = 8 - \frac{1}{3}[/tex]
[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]
[tex]x = \frac{24-1}{3}[/tex]
[tex]x = \frac{23}{3}[/tex]
The number is [tex]\frac{23}{3}[/tex]
help please...
Which graph represents a proportional relationship?
Answer:
Graph C.
Step-by-step explanation:
The graph which illustrates a proportional relationship is graph c because as the value on the Y-axis increases, the values on the X-axis increases consequently.
A direct proportion implies that the values of the quantities on both sides are increasing at a constant rate. Critically looking at graph c, you will notice or observe that the values both intersect at specific intervals or points on the graph.
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees
1. 112.9
2. 67.1
3. 112.9
4. 67.1
hope that helped^^
There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction
Answer:
mhyjdhttugjfiydjydjy
Answer:
egrhvvfgwgetfj sgtuykyhdfv.
Step-by-step explanation:
sgdhfbf gbdvdvfdfvfvtv mgbjsg gfvthrThe Venn diagram below represents the students in a particular high school.
How many female students have a part-time job and a driver's license?
Female
Part-time job
74
111
56
45
92
38
137
89
Driver's license
No
Answer:
C. 45
Step-by-step explanation:
Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is shown in the very center with the number 45.
Hope it helps!
Answer:
C. 45
Step-by-step explanation:
Because its inside all three circles that you want.
): If (6x-3)(6x+3)=ax^2-b, what is the value of a? What is the value of b?
Explain why it is correct to claim that A/B < B/A is true.
Given: 0 < A < B
I don't know how to explain this
Answer:
Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.
The statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A/B < B/A
If you use the principle that the fraction must not be incorrect and have the value A/B1 (i.e., A and B are both positive), then this is true for positive values.
If A/B = 2/3
Then B/A = 3/2
If A/B < B/A
2/3 < 3/2 (True) if 0 < A < B
5/7 < 7/5 (true) if 0 < A < B
Thus, the statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
Learn more about the inequality here:
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Plz answer I need help and it's due tomorrow
Answer:
8 √ 5
Step-by-step explanation:
Mark the best answer.
1. The grid map shows the location of
some places on a college campus.
What are the coordinates of the
dormitory? (8-1)
Library
Gymnasium
12 Student
Center
5 4 3 2
Dormitory
I.XI
10
2013
Academic
Hall
A (2.1)
B 12)
CK1-2)
D (2.1)
Answer:
it makes sense
Step-by-step explanation:
I would I simplify this ?
h(t)= 50- t/5
h(35)=
Answer:
h(35) = 43
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(t) = 50 - t/5
h(35) is t = 35
Step 2: Evaluate
Substitute in t: h(35) = 50 - 35/5Divide: h(35) = 50 - 7Subtract: h(35) = 43Which of these expressions are equivalent to 225 3/2? Select all that apply.
Answer:
C.
Step-by-step explanation:
it could also be written as (sqrt225)^3
C is correct because sqrt225 is equivalent to 225^1/2
using exponent rules, 3 mutiplies to the 1/2 making it 225^3/2
Using traditional methods, it takes 8.1 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
The value of the test statistic is 0.4.
Step-by-step explanation:
The value of the test statistic is given by:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Using traditional methods, it takes 8.1 hours to receive a basic flying license.
This means that [tex]\mu = 8.1[/tex]
A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2.
This means that [tex]n = 23, X = 8.2, \sigma = 1.2[/tex]
Find the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{8.2 - 8.1}{\frac{1.2}{\sqrt{23}}}[/tex]
[tex]t = 0.4[/tex]
The value of the test statistic is 0.4.
need help solving this
Answer:
For this question, subtract 5 on both sides to get [tex]\frac{m}{3}[/tex]=7. Then, multiply 3 on both sides to get m=21.
Answer:
M=21
Hope this helps, and happy valentines day :D
HEEEEEEEEEELPPPPPPP..................
Answer:
Step-by-step explanation:
(2,6) (4, 18)
(18 - 6)/(4 - 2) = 12/2= 6
slope: 6
y - 6 = 6(x - 2)
y - 6 = 6x - 12
y = 6x - 6
f(x) = 6x - 6 slope int form
y int (0, -6)
The accompanying specific gravity values describe various wood types used in construction. 0.32 0.35 0.36 0.36 0.37 0.38 0.40 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.53 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.76 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stem
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Stem\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Leaf\\\\[/tex]
[tex]3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0,0,0,1,1,2,2,2,2,2,3,4\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8,8,8\\\\5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1,4,4\\\\[/tex]
[tex]5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,8\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6,6,7,8\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ NONE\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\[/tex]
The stem & leaf show demonstrates that 0.55 for both the data is indeed a reasonable value.
The probable outlier is the data value 0.76.
The variability of the techniques is relatively large.
It show isn't symmetrical and seems to be optimistic.
A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling
Divide miles by time:
77 9/16 miles / 8 1/2 hours =
Rewrite as I’m proper fractions:
1241/16 / 17/2
Flip the second fraction over and multiply:
1241/16 x 2/17 = (1241x2)/(16x17) =
2482/272 = 9 1/8 miles per hour
Hi there!
Simplify each terms:
[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]
Divide each terms:
[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]
Simplify terms:
[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]
Final Result:
[tex]9\frac{1}{8}[/tex]
PLEASE SOMEONE HELP, I WILL FAIL IF I DONT GET THIS DONE, IVE GOTTEN NO HELP AND I ONLY HAVE 30 MINS FR REAL
Answer:
18m³ + 2m² - 1m
Step-by-step explanation:
For perimeter you add up all the side lengths.
Cubed term:
5m³+5m³+8m³
10m³+8m³
18m³
Squared term:
3m²+3m²+ (-4m²)
6m² - 4m²
2m²
Regular term:
-2m + (-2m) + 3m
-4m + 3m
-m
what is 1+1 This isn't a trick question
Answer:
2
Step-by-step explanation:
Assume that two chords in a given circle are the same distance from the
center of the circle. Which of the following must also be true?
o
A. They must be diameters.
B. They must be parallel.
C. They must be congruent.
D. They must be perpendicular.
SNBMIT
The true statement the same distance from the center of the circle is they must be perpendicular.
We have given that,
Two chords in a given circle are the same distance from the center of the circle.
What is the condition for two chords to be congruent?If the two chords are congruent, then they must be equidistant from the center of the circle.
A is rejected because the chord might not pass through the center of the circle.
B is rejected because the chords are not obligated to be parallel.
C is rejected because it is not compulsory for the chords to be perpendicular.
To learn more about the perpendicular visit:
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Answer: C. They must be congruent.
Step-by-step explanation:
Vhat is the value of a in the equation 3 a+b=54, when b = 9?
O 15
O 18
O 21
0 27
5.16=4n please hurry I need the answer
If a shirt selling for $18 is marked upto $20 then the % increase is
equal to
a. 11%
b. 10%
c. 12%
d. 9%
Answer:
11%
Step-by-step explanation:
it is a simple question, whenever you need to find % increase or % decrease.
always divide the increase as in this case $2 by the original amount which is $18 and multiply it by 100 as you need to take the %.
so,
2/18*100 gives you 11.11% * is multiply
Step-by-step explanation:
$20 - $18 = $2
to get % of increase we need to know what % of $18 the $2 are.
$2 ÷ $18 = 0.11111111........
Multiply this number by 100 and you will get the percentage.
0.111111111111........ x 100 = 11.1111111111....%
HELP ME I WILL GIVE BRAINLIEST I PROMISE!!!!!!!!!
If x = t^3 and y = t^2 - 2 , what is y in terms of x?
Answer:
E
Step-by-step explanation:
You have to get t^2 in the first equation.
x = t^3 Take the cube root of both sides
[tex]\sqrt[3]{x} = \sqrt[3]{t^3}[/tex]
[tex]\sqrt[3]{x}=t[/tex] Now square both sides
[tex](\sqrt[3]{x})^2 = t^2[/tex]
[tex]x^\frac{2}{3} = t^2[/tex]
Now you can substitute into the second equation
y = t^2 - 2
y = [tex]x^\frac{2}{3}[/tex] - 2
E