Answers
Recall the double angle identity for cosine:
[tex]\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)[/tex]
It follows that
[tex]\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}[/tex]
Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,
[tex]\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2[/tex]
but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...
Related Questions
Complete number pattern 88,79, _,_, 52,43,34
Answers
answers: 70 & 61
7. Subtract (5 – 7p) from (2p – 3).
Show the mathematical expression as a
subtraction problem and then simplify. Show all work.
Answers
Answer:
= (2p-3)-(5-7p)
= 2p-3-5+7p
= 2p+7p-3-5
= 9p-8
DIGANME YA LES PREGUNTE ALGO
Answers
Answer:
yee yee I'm a rodeo cowboy and I don't know what you mean brother
In what form is the following linear equation written?
v-3 ={(x-1)
O A. Slope-intercept
B. Standard
O C. Point-slope
D. Rise-run
SHRM
Answers
the formula for point-slope form is always:
y-y1=m(x-x1) which matches C.
Three girls on a high school track-and-field team practiced the shot put. Each gin
made 10 attempts, and the distances measured after each attempt are shown on
the line plots.
Which girl's range of distances was the GREATEST?
A. Candace
B. Sara
C. Rosie
D. All girls traveled the same distance
Answers
Answer:
Its ginger bread man because Sara ate the bread and it was gingery
x is an acute angle. Find the value of x in degrees.
COS x=0.2
write your answer as an integer or as a decimal rounded to the nearest hundredth.
Answers
The value of x in degrees will be x=78.46
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.There are different angles like Cos,Sin,tan,cosec,sec and cot in the trigonometry.
It is given that:
We have the value of CosX=0.2 we will take inverse of the value 0.2 and find the angle X. after taking the cos inverse of the value 0.2 we found out the angle X=78.46
Cos X = 0.2
X = Cos¹ 0.2
X = 78.46°
Hence the value of x in degrees will be x=78.46
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25
Find the value of
20
Answers
Answer:
[tex]\sqrt{20}[/tex] or 4.472
Step-by-step explanation:
Value of 20
The height of a triangle is 9 feet less than twice the length of its base. Its area is 9 square feet. What are the dimensions of its base and height? Recall that the area of a triangle is 1/2bh.
Its base is ____ feet and its height is ____ feet.
Answers
Step-by-step explanation:
If we let the length of the base be b, then the height is 2b-9.
This means that (1/2)(b)(2b-9)=9
b(2b-9) = 18
2b^2 - 9b = 18
2b^2 - 9b - 18 = 0
(2b+3)(b-6)=0
b = -3/2 or b= 6 (disregard b = -3/2 as distance is positive)
This means b =6, and thus the height is 2(6)-9=3.
*100 POINTS, WILL ALSO RECEIVE BRAINLIEST*
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain.
Answers
Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.
Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.
Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 [tex]\leq[/tex] x [tex]\leq[/tex] 8.
Answer:
Person above is correct I think.
Step-by-step explanation:
what will 7dozen of pencil cost at 1k per dozen
Answers
Answer: $7000
Step-by-step explanation:
7 * 1000 = $7000
Ben's family went to NYC for their vacation. At the gift shop on Liberty Island, Steven bought three t-shirts
and two keychains for $120, and Jennifer bought five t-shirts and four key chains for $212. Find the price of
each item
Each t-shirt is $28 and each keychain is $18
Each t-shirt is $17 and each keychain is $31
Each t-shirt is $31 and each keychain is $17
Each t-shirt is $18 and each keychain is $28
Answers
Answer:
Step-by-step explanation:
Elizabeth's family went to NYC for their vacation. At the gift shop on Liberty Island, Scott bought four t-shirts and five keychains for $291, and Michelle bought seven t-shirts and six key chains for $424. Find the price of each item. Each t-shirt is $31 and each keychain is $34 Each t-shirt is $37 and each keychain is $30 Each t-shirt is $30 and each keychain is $37 Each t-shirt is $34 and each keychain is $31 > Next Question
Previous question
PLEASE HELP!
Thank you in advance
The equation of line t is y=
7
4
x+2. Perpendicular to line t is line u, which passes through the point (2,
–
2). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answers
Answer:
If the slope is 7/4x : y=-4/7x-6/7
Step-by-step explanation:
1) Find reciprocal of slope: 7/4 becomes -4/7
2) insert into equation y=mx+b: y=-4/7x+b
3) solve for "b" by substituting x and y with the point (2,-2): -2=-4/7(2)+b
b=-6/7
4) write final equation: y=-4/7x-6/7
-7a - a=
Explain please
Answers
Step-by-step explanation:
-7a - a
Take common -a from that equation
-a(7+1)
= -8a
Easy peasy
Answer:
- 8a
Step-by-step explanation:
- 7a - a
= - 7a + (- a)
= - 8a
____
Hope it helps ⚜
Amanda works at a store that pays her 7% commission on the total amount of clothes she sells. Last week, she sold $1600.00 worth of clothes. What is the amount of commission Amanda earned last week?
$112
$22.86
$11.2
$228.57
Answers
Explanation: When you want to find out what the value of a percentage of the total is, you want to multiply the percentage by the total value. Example: 0.07 x 1600 = 112
A jewelry designer is making identical bracelets. She has
21 blue beads and 14 red beads. What is the greatest number of bracelets she can make using all of the beads?
Answers
Answer
great common factor of 14 and 21 is 15. so your answer is 15
What is the perimeter of the triangle?
A. 18.3 units
B 9 units
C 15.5 units
D 18.2 units
Answers
Answer:
answer is B, 9 units
Step-by-step explanation:
Answer:
C) 15.5 units
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
y= -2/3x+7
Complete the table based on the given domain.
Answers
Answer:
see the attachment!
i hope this can help you.
Analytically show that the equation below represents trigonometric identity statements for questions 5-7
Answers
A storage container is shaped like a rectangular prism. The volume of a container is 48 cubic ft. The area of the base of the containers 12 feet. What is the height of the container in feet?
A. 12=48h
B. V = (12)(48)
C. (12)(48) = h
D. 48 = 12h
Answers
V=L x W x H
48= (12 is L x W)(H)
48=12h is your equation
please please help will give brainlist
What is the volume of the prism?
it has to be simplest mixed number form
Answers
Step-by-step explanation:
[tex]13 \frac{1}{8} [/tex]
is the required answer
Evaluate the expression when a = 2, b=8 and c=12 c-2(a)+b
Answers
Answer:
16
Step-by-step explanation:
First, sub in the variables for the given numbers.
12 - 2(2) + 8
Then, use PEMDAS to find your answer.
12 - 2(2) + 8
12 - 4 + 8
8 + 8
16
Last, you get 16.
A certain rectangular prism has a height of 4 m, a length of 6 m, and a width of 8 m. Give the dimensions of a second rectangular prism that will have the same surface area of the first one.
Answers
Step-by-step explanation:
in its basic structure such a prism is like a cube (just rectangular and not squared) : 6 sides (rectangles).
2 rectangles top and bottom 6×8 = 48 m²
48 × 2 = 96 m²
2 rectangles front and back 6×4 = 24 m²
24 × 2 = 48 m²
2 rectangles left and right 8×4 = 32 m²
32 × 2 = 64 m²
the total surface area is
96 + 48 + 64 = 208 m²
it is hard to find other integer dimensions for the same surface area.
but as long as we are not restricted to integer numbers :
let's cut e.g. the height in half.
and we get
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
that "nails" already 2 dimensions (width and height).
we need to set now the third dimension (length) to create the same surface area :
length×8×2 + length×2×2 = 208 - 32 = 176
20×length = 176
length = 8.8 m
so, with
length = 8.8 m
width = 8 m
height = 2 m
we still get
2 rectangles top and bottom 8.8×8 = 70.4 m²
70.4 × 2 = 140.8 m²
2 rectangles front and back 8.8×2 = 17.6 m²
17.6 × 2 = 35.2 m²
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
as total surface area
140.8 + 35.2 + 32 = 208 m²
Please i need your help for number 6
Answers
Conversion:
1 feet = 12 inch
Explanation:
a) 19 inch = 12 inch and 7 inch = 1 feet and 7 inch
b) 38 inch = 36 inch and 2 inch = 3 feet and 2 inch
The product of two whole numbers is 832 and their sum is 58. What are the two numbers?
Answers
Mark me as brainiest
Answer:
33 and 25
33 + 25 = 58
33 x 25 = 825
A bag of plugs contains 500 pieces. Each piece is $0.03. There is a 10% discount if the customer orders 10 bags or more. How much is a customer paying for 7,000 pieces?
Answers
Answer:
They would be paying $189
The amount of money that the customer paying for 7,000 pieces is $189.
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
Number of bags for 7000 pieces = 7000/500 = 14
Cost for 7000 pieces = $0.03 * 7000 = $210
Discount = 210 - (0.1 * 210) = $189
The amount of money that the customer paying for 7,000 pieces is $189.
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A 6-sided number cube is rolled. Find the Probability of NOT getting a 2 or 5
Answers
Answer:
4/6
Step-by-step explanation:
each number on the cube has a 1/6 Probability of getting chosen, so since we want the Probability of not choosing these 2 numbers there's 4 numbers out of six that we could get, making it 4/6
Answer: The probability would be 2/4 because there is a chance that a 2 or 5 can be rolled and there is only one two and five and 4 other numbers.
Step-by-step explanation:
(2 + 3i) + (3 – 4i)
(3 – 5i) – (–2 – i)
(2 − 4i)(1+ 3i)
2i(−1+ 3i)
Answers
Answer:
See below ~
Step-by-step explanation:
Question 1
(2 + 3i) + (3 - 4i)5 - iQuestion 2
(3 – 5i) – (–2 – i)3 - 5i + 2 + i5 - 4iQuestion 3
(2 − 4i)(1+ 3i)2 - 4i + 6i - 12i²14 + 2iQuestion 4
2i(-1 + 3i)-2i + 6i²-6 - 2iYou wish to test the following claim (
H
a
) at a significance level of
α
=
0.01
.
H
o
:
μ
=
61.5
H
a
:
μ
<
61.5
You believe the population is normally distributed and you know the standard deviation is
σ
=
17.6
. You obtain a sample mean of
M
=
59.1
for a sample of size
n
=
34
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Answers
Using the z-distribution, it is found that the desired measures are given as follows:
The test statistic is z = -0.795.The p-value is of 0.2133.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 61.5, that is:
[tex]H_0: \mu = 61.5[/tex]
At the alternative hypotheses, it is tested if the mean is less than 61.5, that is:
[tex]H_1: \mu < 61.5[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.1, \mu = 61.5, \sigma = 17.6, n = 34[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.1 - 61.5}{\frac{17.6}{\sqrt{34}}}[/tex]
z = -0.795.
What is the p-value?We have a left-tailed test, as we are testing if the mean is less than a value, with z = -0.795. Hence, using a z-distribution calculator, the p-value is of 0.2133.
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Insert three rational numbers between -1/3 and -2/3.
Answers
Answer:
-5/12 , -1/2 ,-7/12
Step-by-step explanation:
a = -1/3
b= -2/3
n = 5
d = b- a/n+1
d= (-2/3 + 1/3)/(5+1)
d = -1/12
numbers are :
-1/3 , -1/3-1/12 , -1/3-2/12 , -1/3-3/12, -2/3
hence number are:-1/3,-5/12,-1/2,-7/12,-2/3
Lucy was born on 11/09/1993. How many eight-digit codes could she make using the digits in her birthday?
Answers
The number of eight-digit codes could she make using the digits in her birthday is 1120 digits
Since the order of the arrangement of the digits matter, we use permutations
What are permutations?Permuations are the number of ways of arranging n objects in r ways. It is given as ⁿPₓ = n(n - 1)(n -2)...(n - x + 1). If we have r identical objects out of n objects, the number of arrangements are n!/r!
Now, since in the date Lucy was born 11/09/1993 has eight digits, we need to find the number of permutations the eight digits of her birthday to form an eight digit code.
Since there are 8 digits, three one's, three nine's, one 1 and one 3.
The number of permutations of these digits in an eight digit code, since we have repeated objects are n = 8!/3!3!1!1!
= 40320/6 × 6 × 1 × 1
= 40320/36
= 1120 digits
So, the number of eight-digit codes could she make using the digits in her birthday is 1120 digits
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