Answer:
0.29
Step-by-step explanation:
I used a calculator
Write the tangent equation to solve for angle f
Answer:
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)
Step-by-step explanation:
tan θ = Opposite/Adjacent
Opposite side is the side opposite angle θ
Adjacent side is the side next to the right angle and the angle θ
θ = Angle F
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)
The wheel of a covered wagon has a diameter of 2 feet what is the wheels circumference?
Answer: ≈75.4 inches
Step-by-step explanation:
C=2πr
Step 1) Half of the diameter is the radius, and 2 feet equals 24 inches, so 24÷2= a radius of 12 inches
Step 2) Plug the radius into the equation: C=2π(12)=75.4 inches
the high temperature for the week were 50, 52, 71, 54, and 51. what is the mean of the temperatures without the outlier?
Answer: 55.6 or 55.60
Step-by-step explanation: Okay, so we have to add up all the numbers and divide by how many numbers there are, so we would add 50 + 52 + 71 (Including this outlier) + 54 + 51, to get 278. Now, since there are 5 numbers in the data set, we would divide 278 by 6, and you should get 55.6 or 55.60 (They are the same thing)
6. How much will you pay for 14.8 gallons of diesel fuel at $1.39 per gallon?
Round to the nearest cent
Answer:
$20.5
Step-by-step explanation:
Fill in the blanks 30 = 27 __ ___x 9 = 54 81 / ___ = 92 = ___ / “” 58 x ___ = 32 “” 72 / ___ = 8 “” 7* __ = 49
Answer:
30 = 27 __ 3 x 9 = 54
81 / __9 = 9
2 = __4 / 8
58 x __6 = 32
72 / __8 = 9
7* __7 = 49
Step-by-step explanation:
10. The figures below are similar.
State the ratio of similarity and then use it
to find the value of x. (2 points)
Answer:
x = 16.5
Step-by-step explanation:
the ratio of similarity is the ratio of corresponding sides, that is
ratio = [tex]\frac{18}{12}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5
Then
[tex]\frac{x}{11}[/tex] = 1.5 ( multiply both sides by 11 to clear the fraction )
x = 16.5
$10.982 to the nearest ten cents
Answer:
$11.0
I hope the image below explains a bit as well
I hope my answer helps you.
If 5/33 is expressed in decimal form, what digit is in the 92nd place to the right of the decimal point?
Answer: 5
Step-by-step explanation:
If you plug 5/33 into a calculator (or just solve with long division), you'll find that it makes 0.151515... (with 15 repeating forever.)
In every EVEN decimal place there's a 5, but in every ODD decimal place there's a 1. (The first decimal place is 1, the second is 5, etc.)
Since 92 is an even number, there is a 5 in the 92nd decimal place.
the top of an electric pole is s supported by a wire of 26 ft long on the ground level. how far is tightened spot from the foot of the pole if its height is 24 ft?
Answer:
The tightened spot is 10 feet away from the foot of the pole.
Step-by-step explanation:
1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.
2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.
⭐What is the Pythagoras' Theorem?
[tex](C)^2 = (A)^2 + (B)^2[/tex]An equation to find a 3rd side lengthC = hypotenuseA = one legB = another leg3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.
Let B= the distance from the tightened spot to the foot of the pole.
[tex](C)^2 = (A)^2 + (B)^2[/tex]
[tex]26^2 = 24^2 + B^2[/tex]
[tex]676 = 576 + B^2[/tex]
[tex]100 = B^2[/tex]
[tex]\sqrt{100} = \sqrt{(B)^2}[/tex]
[tex]10 = B[/tex]
∴ The tightened spot is 10 feet away from the foot of the pole.
Diagram:
is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Define angle.In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.
Given,
Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.
ΔYWZ ~ ΔYXW
Angle XWZ is a right angle is true about Angle XWZ.
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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Step-by-step explanation:
Got it right on edge
Which of the following is equivalent to
4√5
(A)
√20
(B) √50
(C) √80
(D) √100
Answer:
(C) Square root of 80
Step-by-step explanation:
4²=16
16x5=80
Heather plans to make monthly payments of $800 for next 25 years and into it an annuity offering and annual interest rate of 4.8% how much money will she have in 25 years round to the nearest hundred
Answer:
formula
= Pmt [(1 + i/n)^nt - 1] / (i/n)
answer in picture hihi ^_^
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-solve the equation 1 half 4s + 2 = 10. on a numberline thanks.
Write the ratio 0.1 to 0.2 as a simplified fraction
Differentiate the function with respect to x. Answer is B. I need the step. Thank you
Answer:
y(x) = integral(6 c^2 - 20 x^3)/(5 x^2 + 3) dx = -2 x^2 + 1/5 log(5 i x + sqrt(15)) (-i sqrt(15) c^2 + 6) + 1/5 log(-5 i x + sqrt(15)) (i sqrt(15) c^2 + 6) + k_1, where k_1 is an arbitrary constant.
Step-by-step explanation:
Rewrite the equation to -((6 c^2 - 20 x^3) dx)/(3 + 5 x^2) + dy = 0 and solve
Solve (dy(x))/(dx) = (6 c^2 - 20 x^3)/(5 x^2 + 3):
Integrate both sides with respect to x:
Answer: y(x) = integral(6 c^2 - 20 x^3)/(5 x^2 + 3) dx = -2 x^2 + 1/5 log(5 i x + sqrt(15)) (-i sqrt(15) c^2 + 6) + 1/5 log(-5 i x + sqrt(15)) (i sqrt(15) c^2 + 6) + k_1, where k_1 is an arbitrary constant.
What is the length of X Y? 5 units 4 units 3 units 2 units
The length of XY in the given figure is 3 units.
What does congruent mean?same in size and form
Congruent refers to things that are exactly the same size and form. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
What is an example of congruent?Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another.
In the above question,
According to the congruency criteria
HI=XY
Hence, Value of XY is 3 units.
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What is the dislance belween the points (4,-7) and (-5, -7)?
Answer:
Therefore the distance between the points is 9 units.
__________________________________________________________
Hello! In this question, we will find the distance between the two given points.
__________________________________________________________
Explanation:
In this problem, we were given the points:
(4,-7)(-5, -7)In order to find the distance between the two points, we will use our given information and plug it into the distance formula:
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
In this case, our values would be:
__________________________________________________________
Solve:
Plug in the values into the formula above and solve:
[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]
__________________________________________________________
Answer:
The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]
__________________________________________________________
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The relative frequency distribution describes the number of observations that fall within each class. O proportion of observations that fall within each class. O number of observations that are within or below each of the classes. O proportion of observations that are within or below each of the classes. O none of these is correct.
True statement is number of observations that are within or below each of the classes.
Describe relative frequency.A relative frequency describes how frequently a particular kind of event happens among all observations. It is a kind of frequency that employs fractions, percentages, and proportions. The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency. Relative Frequency = Subgroup Frequency/Total Frequency is the formula for relative frequency. A relative frequency count is a way to count how many times an event happens compared to all the other events. It can be described as a percentage. It is frequently represented as a percentage as well.
Given
The relative frequency distribution describes the number of observations that fall within each class.
Statement which is true is,
Number of observations that are within or below each of the classes.
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could anyone help this is so confusing
Step-by-step explanation:
I and somebody else answered this already. how often did you post this ?
Question Progress
Homework Progress
110/122 Marks
Four whole numbers are each rounded to the nearest 10
The sum of the four rounded numbers is 90
What is the maximum possible sum of the original four numbers?
The maximum amount of the original four numbers is 110.
What is the whole number?
A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.
Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.
The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.
So each number would have an extra +5.
And then the maximum number is 90 + (5 x 4) is equal to 110.
Or if the rounded-up no. were 10, 20, 30, 30.
The sum of these numbers is 90.
They can go up to 15,25,35,35.
So the sum of this is 110.
Hence, the maximum possible sum of the original four numbers is 110.
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Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:
Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00
The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total manufacturing cost transferred from Work in Process to Finished Goods would be:
Garrison 17e Rechecks 2020-09-29
Multiple Choice
$647,800.
$678,600.
$667,400.
$654,700.
Group Ends
There is no difference between the standard and actual expenses of direct labor because the company spent a total of $248,000 on such costs over the period.
How to calculate labor cost ?To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.
According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.
This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.
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Here is an inequality: 7 x+6<3 x+2.
Select all values that are solutions.
(Select all that apply.)
x=1
x=0
x=-1
x=-2
x=-8
By solving a linear inequation, it can be calculated that
The values that are solutions are
x= -2 and x= -8
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤
A one degree inequation is known as linear inequation.
Here the inequation is 7x + 6 < 3x + 2
7x + 6 < 3x + 2
7x - 3x < 2 - 6
4x < - 4
x < [tex]-\frac{4}{4}[/tex]
x < -1
So the values that are solutions of the inequation are
x=-2 and x=-8
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What value(s) of b will cause 27x2 + bx + 3 = 0 to have one real solution? Select all that apply.A. b = −18. B. b = −9. C. b = 9. D. b = 18.
The value of b is 18 that will cause equation 27x² + bx + 3 = 0 to have real solution.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given equation is,
27x² + bx + 3 = 0.
Compare the given equation from the standard quadratic equation
ax² + bx + c = 0
Compare both the equations,
a = 27, b = b , c = 3
To find the real solution of the quadratic equation,
Substitute discriminant of the equation equal to zero.
D = 0
b² - 4ac = 0
b² - 4 x 27 x 3 = 0
b² = 4 x 81
b = 2 x 9
b = 18.
The required value of b for the given equation is 18.
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A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
Input 1 2 3 4 n
output -1 3 7 11
PLEASE ANYONE I NEED HELP ASAP THANK YOU!!
Answer:
input: n
output: 15
Step-by-step explanation:
⭐What is a linear function?
A linear function is an equation that increases by a constant, additive amount.A linear function looks like a straight line when graphed.⭐To find the output that corresponds to n, we can:
make a table of values to find the constant, additive amount of this linear functionuse said constant, additive amount to find the output that corresponds to n⭐Remember:
"input" = x-values"output" = y-values
Which of the following is not factor of f(x)?
Answer:
[tex](x-2)[/tex]
Step-by-step explanation:
[tex]f(2)=-40 \\ \\ f(-8)=0 \\ \\ f(3)=0 \\ \\ f(-2)=0[/tex]
By the factor theorem, [tex](x-2)[/tex] is not a factor.
Let X and Y be independent and identically distributed exponential random variables with rate λ.
Let U = X/Y and let V = XY . Find the joint desnity for (U, V ). Also find the marginal densities fU (u)
and fV (v).
The joint density for (U, V) is given by:
f(u,v) = fX/Y,XY(u,v) = fX(v/u) * fY(v/u) * |(v/u)|= λ^2 * v * e^(-λv/u) * |(v/u)|
The marginal density for U is given by:
fU(u) = ∫f(u,v)dv
= ∫λ^2 * v * e^(-λv/u) * |(v/u)|dv
= λ^2 * u * ∫ve^(-λv/u)dv
= λ^2 * u * (-(u/λ)^2 * e^(-λv/u))|v=0 to v=∞
= λ^2 * u * (-(u/λ)^2)
= λ^3 * u^2
The marginal density for V is given by:
fV(v) = ∫f(u,v)du
= ∫λ^2 * v * e^(-λv/u) * |(v/u)|du
= λ * v * ∫e^(-λv/u) * |(v/u)|du
= λ * v * (∫e^(-λv/u)du)|v=0 to v=∞
= λ * v * (-(u/λ) * e^(-λv/u))|u=0 to u=∞
= λ * v * (-1)
= λ * v
Therefore, the joint density for (U, V) is
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DUE SOON PLEASE HELP! WHAT ANGLES SHOW THAT LINE 1 AND 2 ARE PARALLEL AND WHY!
Answer:
Both e and h and a and c
Step-by-step explanation:
e and h are corresponding angles on a transversal. Lines are parallel when the corresponding angles of a transversal have the some degree of measure
Same goes for a and c
e and g are not because g doesn't correspond to e because g is in 2 transversals.
Suppose the amount of medication, A, that remains in your bloodstream is inversely
proportional to the number of minutes, t, since the medication was taken. Which
would be the general formula for this relationship?
a) A = k/t
b) A = kt
c) A = 1/t
d) A = -t
The general formula for the relationship amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes is a) A = k/t.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know we can write y is inversely proportional to x as,
y ∝ 1/x.
y = k/x, where k is the constant of proportionality.
Therefore, The amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes, t can be written as,
A = k/t.
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A triangle has one angle that measures 25 degrees, one angle that measures 104 degrees, and one angle that measures
51 degrees.
What kind of triangle is it?
OA. equilateral triangle
OB. right triangle
OC. acute triangle
OD. obtuse triangle
Answer:
D) Obtuse triangle
Step-by-step explanation:
Obtuse triangles have an angle greater than 90 degrees, and this triangle has an angle of 105.
What rigid motion maps the solid-line figure onto the dotted-line figure?
A. reflection
Brotation
Ctranslation
The rigid motion of the solid line figure is translated to the dotted line figure.
How to find the rigid motion maps a solid line?Translation describe a function that moves an object a certain distance.
In a translation, every point of the object must be moved in the same direction and for the same distance.
In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.
Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation
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