What is the exact value of Cosine (StartFraction 7 pi Over 8 EndFraction)?
Answers
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact value of cosine(7π/8) is 0.912939.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
The given angle can be written in degree form as,
(7π/8) radian = (7π/8) × (180/π) = 157.5°
The exact value of cosine(7π/8) can be written as,
Cosine (7π/8) = Cosine(157.5°) = 0.912939
Hence, The exact value of cosine(7π/8) is 0.912939.
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Answer:
D. -sqrt(2+sqrt(2))/2
Step-by-step explanation:
Took the test and this was the correct answer
Related Questions
6/7+9/14 simplify
The problem
Answers
Answer:
3/2 or 1.5
Step-by-step explanation:
We need the denominator to be the same so we multiply 6/7 by 2/2 to get 12/14. Now we add 12/14+9/14 which is 21/14. We can simplify 21/14 to 3/2, or 1/5 in decimal form. If you need it in mixed number form, it is 1 1/2
Step-by-step explanation:
\( \frac{6}{7} + \frac{9}{14} \\ LCM \: of \: 7 \: and \: 14 \: is \: 98)\\ = \frac{(84 + 63)}{98} \\ = \frac{147}{98} \\ = \frac{3}{2} \\ = 1 \frac{1}{2} \)
You and your friend drive toward each other. The equation 50h = 190 – 45h represents the number h of hours until you and your friend meet. After how many hours will you meet?
A. -2 hours
B. 38 hours
C. 2 hours
D. They will never meet.
Answers
Answer:
C. 2 hours
Step-by-step explanation:
50h= 190-45h
50h + 45h = 190
95h = 190.
190÷95= 2h
1. T-shirts at a flea market cost $4.50 each and shorts
cost $6 each. You have enough money to buy exactly
12 t-shirts and 9 pairs of shorts. Write an equation in
standard form that models the possible combinations
of t-shirts and shorts you can buy.
Answers
- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}
Function?
Answers
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
22+(96-40)/8 I need help
Answers
answer:
29
step-by-step explanation:
use PEMDAS to solve this22 + (96 - 40) / 8
22 + 56 / 8
22 + 7
= 29
Answer:
29
Step-by-step explanation:
Hi,
To solve this, you're going to have to use PEMDAS.
Remember...
P = Parenthesis
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subtraction
22 + ( 96 - 40) / 8
The first step in PEMDAS, is P, so we have to solve what's in the parenthesis first.
96 - 40 = 56
22 + 56/8
In PEMDAS, division comes before addition, so we have to divide 56/8 before adding it to 22.
56/8 = 7
22 + 7 = 29
Your answer is 29.
I hope this helps :)
The smaller the sample, the less variability we will see. True or false
Answers
Answer: Hewo, there! your answer is Below
False would be my answer
Step-by-step explanation:
As the sample sizes increase, the variability of each sampling distribution decreases so that they become increasingly more leptokurtic. The range of the sampling distribution is smaller than the range of the original population.
Hope this helps you!!
Have a great day!!!
Circle Geometry please help
Answers
Answer:
The value of m is 70°. m is inscribed angle and inscribed angle is exactly half of central angle. where central angle is 140°.
513.4497 rounded to the hundredths place
Answers
Answer:
513.45
Step-by-step explanation:
use intelligence
Please help me answer this question!!!
Answers
Answer:
B
Step-by-step explanation:
<STR = <SRT Given the markings of the triangle
<STR + <STU = 180 Supplementary angles
(2x - 9) + 7x = 180 Remove the brackets
2x - 9 + 7x = 180 Combine
9x - 9 = 180 Add 9 to both sides
9x = 180 + 9 Combine
9x = 189 Divide by 9
9x/9 = 189/9
x = 21
Find the value of x.
6
14
3x-12
A
o
21
x = [?]
Enter
![Find the value of x.6143x-12Ao21x = [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/K0oxnfTtahZ9BD8d949QOLLC5yVM2rNL.png)
Answers
Answer:
Bueno esto es lo que yo calculo
3×‐12
3(×‐4)
3 14x12
A calcule
A 12×3 =14
es lo que me calcula
Answer:
7Step-by-step explanation:
14/6 = 21 / 3x - 12
first, cross multiply
14 (3x - 12) = 6*21
Remove the brackets
42x - 168 = 126
Add 168 to both sides
42x = 168 + 126
Combine
42x = 294
Divide by 42
x = 294/42
x = 7
The perimeter of a rectangle is 52 inches, and the area is 160 square inches. Find the length and width of the rectangle.
Answers
Answer:16x16
Step-by-step explanation:
A price study tracked the cost of a bag of groceries over a five-year period. The data can be modeled by a function of the form C=a(b)x
C
=
a
(
b
)
x
, where x
x
represents the number of years since the study began.
Grocery Price Study
Years Since
Study Began Cost
($)
0 30.00
1 32.10
2 34.35
3 36.75
4 39.32
Which value is the best prediction of the cost of the groceries nine years after the beginning of the study?
Answers
To find the best prediction of the cost of the groceries nine years after the beginning of the study, we need to use the given data to find the values of a and b in the function C=a(b)x. So, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.
To do this, we can use the first data point where x = 0:
30 = a(b)^0
This simplifies to:
30 = a
So, we know that a = 30.
Next, we can use any other data point to solve for b. Let's use the second data point where x = 1:
32.10 = 30(b)^1
This simplifies to:
32.10 = 30b
b = 1.07
Now we can use the function C = 30(1.07)^x to find the best prediction of the cost of the groceries nine years after the beginning of the study:
C = 30(1.07)^9
C ≈ $53.34
Therefore, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.
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A square chess board has sides that are 15 inches long. What is the board's perimeter?
Answers
Answer:
60 inches is the perimeter.
Step-by-step explanation:
The perimeter is all of the sides added up. because it is a square, it has 4 15 inch sides.
15+15+15+15
30+30
60
pls mark brainiest
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough.some days they bake bigger batches and some days they make smaller batches, but they always use the same ratio of honey to flour.
1: how many cups of flour do they use with 20 tablespoons of honey?
2: how many cups of flour do they use with 13 tablespoons of honey?
3: how many tablespoons of honey do they use 20 cups of flour?
Answers
Answer:1. 25
2. 16,25 (16 and a 1|4)
3. 16
Step-by-step explanation
proportion e.g. 8- 10
20- more
20|8 * 10
= 25
The cost of 4kg of Apple and 6kg of orange is Rs620.If the cost of orange is the same as the cost of 5 kg Apple find the cost of per kg of Apple and orange?
Answers
Answer:
The apple cost RS 18.24 per kg, while
the orange cost RS 91.18 per kg.
Step-by-step explanation:
Let the cost of 1kg if apple and orange be RS A and RS O respectively.
From the first line:
4A +6O= 620
2A +3O= 310 -----(1) (÷2 throughout)
From the information given in second line:
O= 5A -----(2)
subst. (2) into (1):
2A +3(5A)= 310
2A +15A= 310 (expand)
17A= 310 (simplify)
A= 310 ÷17 (÷17 on both sides)
A= 18.235 (5 s.f.)
A= 18.24 (2 d.p.)
Subst. into (2):
O= 5(18.235)
O= 91.18 (2 d.p.)
pls answer will give brainliest answer
Answers
Answer:
∠A= ∠E, ∠H = ∠D
and the last one
Step-by-step explanation:
opposite angles are equal, alternative interior angle are equal.
Answer:
∠A = ∠E and ∠H = ∠D.
∠E = ∠H and ∠F = ∠G
Step-by-step explanation:
Angles A and E are one set of corresponding angles and angles H and D are another set. Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.
Angles E and H are one set of vertical angles and angles F and G are another set. Vertical angles are also always congruent to each other and thus equal. Therefore ∠E = ∠H and ∠F = ∠G
Pls help me with this question
Answers
The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.
When two lines intersect, then their opposite angles are equal. Then the equation is given as,
m° + 66° + m° = 120°
Simplify the equation for m, then the value of 'm' is calculated as,
m° + 66° + m° = 120°
2m° = 120° - 66°
2m° = 54°
m° = 27°
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What is the range of the function shown on the graph
Answers
Answer:
-2<=y<=-7
Step-by-step explanation:
Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ||u||= 4, θu =6 , ||v|| = 1, θv = 4
Answers
The component of u+v along the length of u and v is (6.3, 0.66).
A vector is quantity which has both magnitude and direction. A magnitude is the length of the vector.
Here in the question u and v makes angle with the positive x axis.
||u||= 4 and θu =6 and ||v|| = 1, θv = 4
To determine the component of u = |u||(cosu, sinu)
Component of u = 6(0.9, 0.1) = (5.4, 0.6)
Component of v = ||v||(cosv sinv)
Component of v along the x axis = 1(0.9, 0.06 ) = (0.9, 0.06)
In the question value of u+v needs to be find.
Value of u + v = (5.4 + 0.9 , 0.6+ 0.06)
Value of the component form of u + v = (6.3, 0.66).
Hence, the component of u+v along the length of u and v is (6.3, 0.66).
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1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
Answers
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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which function has zeros of -8,1, and 3
Answers
Answer:
A
Step-by-step explanation:
The zeros of a polynomial function are found by factoring in the form
a(x - r1)(x - r2)(x - r3) ... = 0, where each 'r-something' is a root (or solution) and 'a' is the leading coefficient.
Like if we have 3x² - 3x - 6 = 0
Factoring it as 3(x-2)(x + 1) = 0 shows the roots are 2 and -1.
And sine the right side is zero, we can even drop the factor of 3 on the left, and still have an equivalent equation (has same answers).
(x-2)(x + 1) = 0
The reason this works is because each factor in parentheses adds up to zero, creating a factor of zero in what is being multiplied on the left. And we know that if you have a series of factors in a product, and any one of those factors is zero, the whole product must be zero. So what is on the left equals the zero on the right, making the equation true.
Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
Answers
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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(
0
,
4
)
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−
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4
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0
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−
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0
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4
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(
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dilated by a factor by
2
Answers
Answer:
wait what the hell is even this!
Richland's Real GDP per person is #10b and poorland's Real GDP per person is #5b. However, Richland's Real GDP per person is growing at 1% per year and poorland's Real GDP per person is growing at 3% per year. Compare real GDP per person in the two countries after ten years and after twenty years. Approximately how many years will it take poorland to catch up with Richland?
Answers
Answer:
after 5 years, rich : poor = 11.0 : 6.7after 10 years, 12.2 : 9.035.3 yearsStep-by-step explanation:
It is convenient to let a graphing calculator show the answers to these questions.
The exponential equation modelling the growth will be of the form ...
f(x) = (initial value) × (1 +growth rate)^x
Richland's GDP/person can be modeled by r(x) = 10·1.01^x
Poorland's GCP/person can be modeled by p(x) = 5·1.03^x
The attached graph shows values for x=5, 10 and r(x)=p(x).
It will take about 35.3 years for Poorland to catch up.
Solve....3(x+3)=-4x+30
Answers
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how long will it take them to travel 38 meters?
Answers
Answer:
2 seconds.
Explanation:
To answer we will use a rule of three where we know that the cyclist travels 380 meters in 20 seconds and we want to know how many seconds will it take to travel 38 meters. So:
380 meters ----------- 20 seconds
38 meters ---------- X
Where X is the number of seconds that the cyclist required to travel 38 meters.
So, solving for X, we get:
\(X=\frac{38\text{ meters }\cdot20\text{ seconds}}{380\text{ meters}}=\frac{38\cdot20}{380}=\frac{760}{380}=2\text{ seconds}\)Therefore, the answer is 2 seconds.
Find the sale price of a $70 item after a 20% discount.
Answers
Answer:
$56
ez
Step-by-step explanation:
what is 10(x-2)-(x-4)
Answers
Answer: 9x - 16
1. Remove parentheses.
10(x - 2) - x + 4
2. Expand by distributing terms.
10x - 20 - x + 4
3. Collect like terms.
(10x - x) + (-20 + 4)
4. Simplify.
9x - 16
An inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours. How long will it take both pipes to fill the pool?
Answers
Answer:
It will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.
Step-by-step explanation:
Given that an inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours, to determine how long it will take both pipes to fill the pool, the following calculation must be performed:
1/5 + 1/4 = X
0.20 + 0.25 = X
0.45 = X
9/20 = X
9 = 60
2 = X
120/9 = X
13,333 = X
Therefore, it will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.