Answer:
\(A= 35.8\)
Step-by-step explanation:
Given
\(sin(53.2) = cos(A)\)
Required
Find A
In trigonometry
\(sin(\alpha) = cos(\theta)\)
Then
\(\alpha + \theta = 90\)
So, this gives:
\(54.2 + A= 90\)
Make A the subject
\(A= 90-54.2\)
\(A= 35.8\)
1/8 as a decimal show how to do it
Answer:
0.125
Step-by-step explanation:
1/8 is the same as 1 ÷ 8
1 ÷ 8 = 0.125
I hope this helped!
Answer:
0.125
Step-by-step explanation:
how i do it it to multiply 125 by 8 that equals 1000. now, every 125 is 1/8 so there is your answer
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Divide a number by 3 and then subtract 6 to get 1 as the anwser
Answer:
x=21
Step-by-step explanation:
21÷3=7
7-6=1
The answer would be 21
Answer:
21
Step-by-step explanation:
do the opposite of the equation *ex. multiplication becomes division, the number at the end goes to the beginning*
1. subtract turns to addition
* 1 + 6
= 7
2. division become multiplication
7·3
= 21
plug it in
21÷3 = 7
7-1=6
We conduct a chi-square test with 6 degrees of freedom and find a test statistic of 20.32. The p-value for this test would be:
Answer: 0.002429
Step-by-step explanation:
Given that:
Degree of freedom = 6
Value of Chisquare test statistic = 20.32
The P value of the Chisquare distribution with a test statistic of 20.32 and a degree of freedom of 6 can be obtained using a Chisquare p value calculator.
P(20.32, 6), at 0.05 the degree of freedom obtained is :
0.002429
This p value shows that result is significant at p < 0.05.
As the P value obtained is lesser than the significance level.
= 0.002429
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
A metal sculpture has a total volume of 1250 cm³ and a mass of 9.2 kg.
Work out its density, in grams per cubic centimetre (g/cm³).
Give your answer to 2 d.p
Answer:
7.36 g/cm3
Step-by-step explanation:
Density = mass ÷ volume
Mass in grams = 9200g
Volume in cm3 = 1250cm3
9200 ÷ 7850 = 7.36
7.36 is already in 2 d.p.
A 95% confidence interval is found to be (28, 32). The sample standard
deviation is 7, and the sample size is 49. If you wanted a smaller interval,
what could you do?
Answer:
b
Step-by-step explanation:
Can you please help me
9514 1404 393
Answer:
x = 65°y = 32.5°Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
__
Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
Estimate 55.8 ÷ (-3.1). Then find the quotient.
Answer:
-18 is your answer
Step-by-step explanation:
To check is -18 is the right answer or not, you can just multiply -18 and -3.1 which should equal up to 55.8
and give simple working out :)
can you walk me through this im trying to build my confidence here.
Answer: b
Explanation:
The given graph is the graph of a piecewise function. The equations of the lines are
Considering the First line on left, the equation is
y = - 2x + 1
The line extends towards the right and terminates at a point. The endpoint has an open circle. This means that the coordinates of that point are not inclusive. The x coordinate of the endpoint is 1, Thus, only all values of x less than 1 satisfy this function. The domain is
x < 1
Considering the second line on right, the equation is
y = - x + 2
The line extends towards the right from a point(x = 1). The start point has a closed circle. This means that the coordinates of that point are inclusive. Thus, only all values of x greater than or equal to than 1 satisfy this function. The domain is
x ≥ 1
The correct option is B
A rectangular paperboard measuring 20in long and 12in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.)
A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.
The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.
The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.
The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.
The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:
P = 20 + 12 + 12 = 44 inches
However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:
C = πr
where C is the circumference of the semicircle and r is the radius.
Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:
C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)
Therefore, the perimeter of the remaining part is:
P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)
So, the perimeter of the remaining paperboard is 34.58 inches.
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An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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what kind of relationship is (7, 10), (8, 4), (1, 0)
PLEASE HELP!!!!!!!!!!!!!
Cinco múltiplos del 12
Answer:
60 Sana po makatulong pa brainlest please
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
plz answer!!!! Ill give brainly to first RIGHT person!!!!!
Answer:
D
Step-by-step explanation:
If it was 2/4, percent is 50% greater than 0, but less than 100
2/4 decimal 0.5 between 0 and 1
how many tickets are there when it weighs 135 grams
Answer:
about like 4-5
Step-by-step explanation:
its 4 or 5
To convert from Standard Form to Slope-Intercept Form the strategy is to solve for which variable?
b
m
y
x
Answer: y
Step-by-step explanation:
Slope intercept form is written as
Y=mx+b, so you’d solve for the variable y
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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1. Evaluate each expression without using a calculator.
(a) \((-3)^{4}\)
The result of the exponential expression is 81
Indices expressionsIndices are written in term of exponents
According to the expoenent law of indices
a^4 = a * a * a * a
Given the expression
(-3)^4
This means the product of -3 in four places. Mathematically
(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81
Hence the result of the exponential expression is 81
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At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?
Answer:
4 temp at 9 am
Step-by-step explanation:
At 1am temp=-6
At 5am temp=-1
5-1=4 hours and temp difference is -6+1=-5
so at 9 am temp will be -1+5=4
I included a screenshot with the question, thank you!!
Hope this helps :)
......
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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PLS LOOK AT PHOTO
HELPPP ASAP!!!
[6 11 -47
1
-5
6 8 -5
3 -9 6
Match each value to the correct entry in matrix AB.
[5 7
54
A = 4 -1
27
23
and B= 2
The matrix is 3 × 3 square matrix . Its values are:
\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)
Given,
Matrix A and Matrix B
Now,
According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.
So,
Apply multiplication rule,
\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)
Thus the values of the matrix can be calculated.
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The following frequency distribution presents the batting averages Major League Baseball players who had 300 or more plate appearances during recent season; Batting Average Frequency 0.180-0.199 0.200-0.219 0.220-0.239 0.240-0.259 0.260-0.279 0.280-0.299 0.00-0.319 0.320-0,339 0.340-0.359
The construction of the graph is shown here.
Also cumulative frequency in the table form mentioned here. This can be solved using the concept of frequency distribution.
What is frequency distribution?Tables or charts of frequency distributions are used to represent them. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.
Relative frequency distributions and cumulative frequency distributions are the two primary forms of frequency distributions utilised in data analysis. Both depend on frequency, which is the amount of times something happens inside a specific data set in descriptive statistics.
Class Frequency Cumulative frequency
0.180-0.199 2 2
0.200-0.219 10 12
0.220-0.239 39 51
0.240-0.259 56 107
0.260-0.279 60 167
0.280-0.299 49 216
0.300-0.319 27 243
0.320-0.339 12 255
0.340-0.359 1 256
The construction of the graph is shown below:
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The complete question is as follows:
Do lure colors influence Pacific halibut's desire to take the bait? To find out researchers selected 750 Pacific halibut
from a fish farm in California. Half of the fish were randomly assigned to a sparkly, brightly colored fishing lure, while
the other half were assigned to one with a neutral tone and no sparkle. On average, the halibut were more attracted
to the sparkly, bright colors. Which of the following is the largest population to which the results of this survey should
be generalized?
Answer: B
Step-by-step explanation:
i got chegg
Problems 20 - 23. Analytically determine what type(s) of symmetry, if any, the graph of the equation would possess. Show your work.21) y^2 - xy = 6
Because of gthe graph I conclude that the graph is simmetric about the origin.