Given:
[tex]\cos (55\dfrac{1}{2})^\circ\approx 0.566[/tex]
To find:
The angle, in degrees, that has a sine of approximately 0.566.
Solution:
We know that,
[tex]\sin(90^\circ-x)=\cos x[/tex]
We have,
[tex]\cos (55\dfrac{1}{2})^\circ\approx 0.566[/tex]
Using the above trigonometric identity, it can be written as:
[tex]\sin (90-55\dfrac{1}{2})^\circ\approx 0.566[/tex]
[tex]\sin (90-\dfrac{110+1}{2})^\circ\approx 0.566[/tex]
[tex]\sin (90-\dfrac{111}{2})^\circ\approx 0.566[/tex]
Taking LCM, we get
[tex]\sin (\dfrac{180-111}{2})^\circ\approx 0.566[/tex]
[tex]\sin (\dfrac{69}{2})^\circ\approx 0.566[/tex]
[tex]\sin (34\dfrac{1}{2})^\circ\approx 0.566[/tex]
Therefore, the angle [tex]34\dfrac{1}{2}[/tex] degrees has a sine of approximately 0.566.
Pat is making rectangular placemats each with area 1200cm2 she wants to braid trim around the edges how much trim does pat need for the placemat
Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat to braid trim around the edges.
To find out how much trim Pat needs for each placemat, we need to first find the perimeter of the rectangle.
The area of the rectangle is given as 1200 [tex]cm^2[/tex].
The perimeter of the rectangle is the sum of all four sides of the rectangle. If the length and breadth of the rectangle are L and B respectively, then the perimeter P can be calculated using the formula:
P = 2(L+B)
Now, let's find the length and breadth of the rectangle using the area formula,
Area = LB = 1200 [tex]cm^2[/tex]
so LB = 1200 [tex]cm^2[/tex]
Now we can substitute the value of L and B in the perimeter formula
P = 2(L+B) = 2(sqrt(1200)+sqrt(1200))
As the area of the rectangle is given as 1200[tex]cm^2[/tex] , the length and breadth can be calculated as [tex]\sqrt{1200}[/tex]cm.
So the perimeter of the rectangle is
P = 2*([tex]\sqrt{1200}[/tex] + [tex]\sqrt{1200}[/tex])
= 2*2[tex]\sqrt{1200}[/tex]
= 4[tex]\sqrt{1200}[/tex]cm
To find the total length of trim Pat needs for the placemat, we need to multiply the perimeter by the number of edges that need a trim. Since the edges are around the rectangular placemat, so it will be 4 edges.
So, the total length of trim Pat needs for the placemat is
P4 = 4[tex]\sqrt{1200}[/tex]*4 = 16[tex]\sqrt{1200}[/tex]cm
So Pat needs 16[tex]\sqrt{1200}[/tex]cm of trim for each placemat.
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236 divided by 44 pls
Answer:it’s 5.36
Step-by-step explanation:
Cheese costs $1.80 per pound. Samira bought some cheese. She paid with a 5 dollar bill and got $1.40 in change. How many pounds of cheese did she buy?
Answer:
2 pounds of cheese
Step-by-step explanation:
First, we have to find out how much did she pay by taking
$5.00 - $1.40 = $3.60
So, she paid $3.60 in total. Then we find how many pounds of cheese she bought by taking
3.60 / 1.80 = 2 pounds of cheese
So, she bought 2 pounds of cheese.
Find the surface area of the prism.
Answer:
2 x 5 = 10, 10 x 2 = 20
4 x 2 = 8, 8 x 2 = 16
5 x 4 = 20, 20 x 2 = 40
40 + 20 + 16 = 76 yd^2 is your answer.
Answer: 76 yds
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Lenny paid $13 for 4 1/3 pounds of apples.
How many pounds of apples can he buy
for $29?
Answer: 9 2/3
Step-by-step explanation:
you take 29 and divide by 13 to get 2.23076923077 and you then take that times the 4 1/3 to get 9 2/3
Answer:
Step-by-step explanation:
13(X-4 1/3)=29
13X-56.3=29
+56.3 = +56.3
13X=85.3
X=6.56
What is the equation of the circle?
Answer:
(x - 3)^2 + (y + 2)^2 = 2^2
Step-by-step explanation:
The center is at x = 3 and y = 2: (3, 2). The radius is 2. Starting with the standard equation of a circle with radius r and center (h, k), we get:
(x - 3)^2 + (y + 2)^2 = 2^2
Mr. Garcia purchased twelve watermelons for the school picnic. Each watermelon cost $4.95. How much did he pay for the watermelons?
Answer:
$59.40
Step-by-step explanation:
Multiply the amount of watermellon (12) by the price (4.95) giving you 59.40
Answer:
$59.40
Step-by-step explanation:
take $4.95 and times it by twelve to get $59.40
What is the slope of the line that passes through (-2,3) and (2, 11) ?
Answer:
2
Step-by-step explanation:
y2 - y1 / x2 - x1
11 - 3 / 2 - (-2)
8 / 4
= 2
Determine the missing angle measure.
Answer:
38°
Step-by-step explanation:
We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°
Answer:
X=38 degrees
Step-by-step explanation:
A straight line is 180 degrees so to find the missing part you can do 180-142.
That way you get the missing angle measurement.
Joe has 10 marbles . Ken has fewer marbles than joe witch inequality represent the number of marbles m that ken has
Answer:
k < 10
Step-by-step explanation:
An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers.
Let k represent Ken. The closed side of < is the side the smaller number is going to be on. Ken has fewer marbles then Joe, therefore, k < 10 because Joe has 10 marbles.
I really need help with this answer pls help fast
Step-by-step explanatio
Jill and beth are sisters. Jill is 1/3 of beth's age. Let b represent beth's age.Write an algebraic expression to show jill's age.
The algebraic expression to show Jill's age will be;
Jill = 1/3 x b
What is an Algebraic Expression?Algebraic expressions are the mathematical statements that are derived when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
There are different parts of an algebraic expression and they are; Variables - a symbol that doesn't have a fixed value is called a variable. It can take any value assigned to it.
Constants - a symbol that has a fixed numerical value is called a constant. All numbers are constants.
Terms - A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants and the operation of multiplication or division with it.
Coefficients - the numbers that are multiplying the variables are called coefficients.
Beth's age = b
Jill's age = 1/3 of Beth's age
Jill's age = 1/3 x b
Jill's age = 1/3b
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What is an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35?
Answer: To find an equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35, we can use the fact that two lines are parallel if and only if they have the same slope.
The slope of the line 4x−5y=35 is -4/5. Therefore, we can find an equation of the line that passes through (-5,-6) and is parallel to 4x−5y=35 by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
Substituting the values into the slope-intercept form, we get:
y = (-4/5)x + b
To find the value of b, we can substitute the coordinates of the point (-5,-6) into the equation:
-6 = (-4/5)(-5) + b
-6 = 8/5 + b
-6 - 8/5 = b
-24/5 = b
Therefore, the equation of the line that passes through the point (-5,-6) and is parallel to the line 4x−5y=35 is:
y = (-4/5)x - 24/5
This can also be written as:
y = -4/5x - 24/5
Step-by-step explanation:
Dawson says that the expression (2 4/10+ 8 4/5)-3 1/5 is equal to a whole num do you agree explain hurry
If Dawson says that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] is equal to a whole number , then we can say that Dawson is correct .
The Mixed fraction expression is given as : [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] ;
first , we need to convert the mixed fraction in to simpler fractions ,
On converting ,
we get ;
the expression as : [tex](\frac{24}{10}+\frac{44}{5})-\frac{16}{5}[/tex] ;
taking the LCM of 10 and 5 as 50 ,
we get ;
⇒ [tex](\frac{24}{10}+\frac{88}{10})-\frac{16}{5}[/tex]
⇒ [tex](\frac{112}{10})-\frac{16}{5}[/tex]
Simplifying further ,
we have ;
⇒ [tex](\frac{112}{10})-\frac{32}{10}[/tex] ,
⇒ [tex]\frac{80}{10}[/tex]
= 8 , which is a whole number .
Therefore , we can agree with Dawson's statement that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] equals to a whole number "8" .
The given question is incomplete , the complete question is
Dawson says that the expression ([tex]2\frac{4}{10}[/tex] + [tex]8\frac{4}{5}[/tex]) - [tex]3\frac{1}{5}[/tex] is equal to a whole number . Do you agree ? Explain .
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What is the solution of
2+4/9x ≥ 4+x?
Answer:
x < -18/5
this is the answer of you problem
on a restaurant menu there are 22 main dishes of which 4/11 are gluten free 7 rice dishes which are all gluten free 5 naan breads of which 40% are gluten free. this meal deal is on the menu 'choose one main dish, one rice dish and one naan bread' how many of these possible meal deals are gluten free
Answer:
56
Step-by-step explanation:
Gluten-free choices:
Main dishes: 4
Rice dishes: 7
Bread: 2 (40% of 5 is 2) 0.40 x 5 = 2
Multiply numbers of choices together: 4 x 7 x 2 = 56
There are a total of 112 meal deals.
What is a fraction?'In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'
According to the given problem,
For gluten free choices,
Main dishes = 22 × [tex]\frac{4}{11}[/tex]
= 8
Bread choices = [tex]\frac{40}{100}[/tex] × 5
= 2
Total possible meal deals = 8 × 7 × 2
= 112
Hence, we can conclude, 112 possible meal deals are gluten free.
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What is the 8th term of the linear sequence below?
6
,
13
,
20
,
27
,
34
,
.
.
.
Answer:
55
Step-by-step explanation:
Hope it helps! :D
Which of the following is not true about cluster sampling?
Cluster sampling has the advantage of reducing sampling variability.
Cluster sampling has the advantage of saving time and money.
Cluster sampling uses clusters, which are miniature, nonoverlapping versions of the population.
Cluster sampling uses randomly selected clusters and samples everyone within each cluster.
answer is A
The option that is not true about cluster sampling is option A: Cluster sampling has the advantage of reducing sampling variability.
What is cluster sampling?
Cluster sampling often leads to larger sampling variability than other types of sampling methods, such as simple random sampling or stratified sampling, because clusters may not be a representative sample of the population and the individuals within a cluster may be more similar to each other than to individuals in other clusters.
Therefore, This increases the chance that the sample will not be representative of the population, which can result in a higher level of sampling error.
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What is the coefficient of x² in 3x 5?
The coefficient of the variable x² in the expression 3x+5 is 0
Given that,
The expression is 3x+5
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x+5 is 0
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x+5 is 0.
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5. Find the perimeter of this figure.
Answer:
40
Step-by-step explanation:
Perimeter of sqaure:
= 4 × side
= 4 × 10
= 40 m
Use the graph of the equation to answer the question.
What is the domain of the equation?
What is the range of the equation?
As per the graph, there is no restrictions for the domain but the range has a minimum value at y = - 4.
The domain is any real number:
x ∈ ( - ∞, + ∞)The range is any real number not less than - 4:
y ∈ [ - 4, + ∞)Solve the simultaneous equations by substitution
2 + y = 16
x = 2y + 1
Answer:
x=29, y= 14
Step-by-step explanation:
y=16-2(move the 2 over to isolate y.) y=14. now input 14 in the bottom equation. x= 2(14)+1, 2×14=28, 28+1=29. x=29, y=14
If the radius of a sphere is doubled, by how many times has its volume been increased
Answer:
8 times larger than the original
Step-by-step explanation:
In any three dimensional object, cube sphere, cone, etc., if all of its dimensions increase by a factor of x then its volume increases by a factor of x³
In this case the dimensions double, so the volume increases by a factor of 2³ = 8
I’ll mark u brainlist right answer pleaseeeeeee
Answer:
step 3 it is
.. . . . . . . . . . .. . . . .. .
Is math hard to study?
ASAP NEED HELP THX !! Look at picture
Answer:
66
Step-by-step explanation:
Replace t with 9 in the equation.
[tex]28(1.1)^9[/tex]
Simplify.
[tex]28(2.358)[/tex]
[tex]66.023[/tex]
Rounded, it equals 66
in a photograph alison stands next to her brother caleb. alison is 4cm tall in the photograph her actual height is 60in cale is 3.2cm tall in the photograph, whats his actual height
fred spent a total of $170 for a tent and 2 sleeping bags each sleeping bag cost $35 which equation can be used to find T the cost of the tent NO SCAM LINKS
A. T=170-( 2x35 )
B. T= (170 divided by 2) +35
Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that double every month. If Brent has 4 goldfish at the same time that Gretel has 128 goldfish, then in how many months from that time will they have the same number of goldfish
On solving the provided question, we can say that by fraction they will have the same amount of fish in 5 months.
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
Month / Brent / Gretel
0/4/ 128
1/ 16 / 256
2 / 64 / 512
3 / 256 / 1024
4 / 1024 / 2048
5 / 4096 / 4096
They will have the same amount of fish in 5 months.
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Evaluate the expression if x = 6
X3 – 10 =
Answer:
8
Step-by-step explanation:
3x6 = 18
18-10 = 8