if the trapezoid below is reflected across the x axis what are the coordinates of B
If the coordinate B is reflected over x-axis, the resulting coordinate will be (5, -9)
Reflection of imageIf an image is reflected over the x-axis, the resulting coordinate will be (x, -y). The reflections shows the mirror image of a figure.
Given the coordinate B before reflection as (5, 9)> If the coordinate is reflected over x-axis, the resulting coordinate will be (5, -9)
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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -(x-4)2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Point r is located at (3,0). point s is located at (0,-4). what is the equation of the line through these two points
Find the area under the standard normal curve between z = -1.5 and z = 2.5
To area under the standard normal curve between z = -1.5 and z = 2.5 is 0.927
Explanation:A standard normal curve, also known as the standard normal distribution, is a bell-shaped, symmetrical probability distribution with a mean of 0 and a standard deviation of 1. It serves as a reference for many statistical analyses and is often denoted as the Z-distribution.
To find the area under the standard normal curve between z = -1.5 and z = 2.5, we need to use the z-table. The z-score of -1.5 corresponds to an area of 0.0668 and the z-score of 2.5 corresponds to an area of 0.9938. To find the area between these two z-scores, we subtract the smaller area from the larger area:
= 0.9938 - 0.0668
= 0.927
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The area between these z-scores is 0.9270.
The area under the standard normal curve between z = -1.5 and z = 2.5 can be found using the z-table.
First, find the area to the left of
z = -1.5, which is 0.0668.
Next, find the area to the left of
z = 2.5, which is 0.9938.
Subtract these two values to get the area between z = -1.5 and z = 2.5 :
0.9938 - 0.0668
= 0.9270.
Peter bought an antique piece of furniture in 2000 for $10,000. Experts estimate that its value will increase by 12.12% each year. Identify the function that represents its value. Does the function represent growth or decay?
A) V(t) = 10000(1.1212)t; growth
B) V(t) = 10000(0.8788)t; decay
C) V(t) = 10000(1.1212)t; decay
D) V(t) = 10000(0.8788)t; growth
How do I set up this equation and solve ?
angles in a triangle need to equal 180 degrees
so x = 180 - 47 - 58
x = 180-105
x= 75 degrees
There are 6 performers who will present their comedy acts this weekend at a comedy club. one of the performers insists on being the last? stand-up comic of the evening. if this? performer's request is? granted, how many different ways are there to schedule the? appearances
since the 6th comic will be last you need to know how many different ways to schedule 5 comics
5x4x3x2 = 120
there are 120 different ways.
enter an equation in slope-intercept form that describes a line that contains the points (4,1) and (4,2)
The vertical ______ of the function secant are determined by the points that are not in the domain.
The cosine of the angle is 4/5
The cotangent of the angle is [tex]\(\frac{4}{3}\).[/tex]
In triangle ABC, where angle ABC is a right angle (90 degrees) and sides AB, BC, and AC are given as 6, 8, and 10 units respectively, we can use the cosine and cotangent functions to find the cotangent of angle ABC.
The cosine of an angle in a right-angled triangle is defined as the ratio of the adjacent side to the hypotenuse.
In this case,[tex]\(\cos(\angle ABC) = \frac{BC}{AC} = \frac{8}{10} = \frac{4}{5}\).[/tex]
The cotangent [tex](\(\cot\))[/tex] of an angle is the reciprocal of the tangent (tan).
The tangent is the ratio of the opposite side to the adjacent side.
Therefore,[tex]\(\cot(\angle ABC) = \frac{1}{\tan(\angle ABC)}\).[/tex]
Since [tex]\(\tan(\angle ABC) = \frac{AB}{BC} = \frac{6}{8} = \frac{3}{4}\)[/tex], we can find the cotangent:
[tex]\[ \cot(\angle ABC) = \frac{1}{\tan(\angle ABC)} = \frac{1}{\frac{3}{4}} = \frac{4}{3} \][/tex]
Therefore, the cotangent of the angle is [tex]\(\frac{4}{3}\).[/tex]
The probable question may be:
The cosine of a certain angle is 4/5. What is the cotangent of the angle?
In triangle ABC , Angle ABC=90 degree, AB=6, BC=8 AC=10
Final answer:
The cosine of an angle being 4/5 means that the ratio of the adjacent side to the hypotenuse in a right triangle is 4/5.
Explanation:
The given question states that the cosine of an angle is 4/5. In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. So, if we have a right triangle with an angle A, and the cosine of A is 4/5, it means that the ratio of the length of the adjacent side to the hypotenuse is 4/5.
Thus, we can say that if the length of the adjacent side is 4 units, then the length of the hypotenuse would be 5 units, assuming the units are consistent. This relationship holds true for any right triangle with an angle whose cosine is 4/5.
For example, if we have a right triangle with an adjacent side of 8 units, then the hypotenuse would be 10 units.
PLEASE HELP!! IMAGE ATTACHED find the measure of angle 2
the figure is an equilateral triangle, which all angles are 60 degrees
angle 3 divides a 60 degree angle in half so angle 3 = 30 degrees
the base is a right triangle which is 90 degrees
90+30 = 120
180-120 = 60
Angle 2 is 60 degrees
Smallville’s town council has records of the town’s budget over a 10-year period. Create a best fit and model for the data. What does the model predict the town’s budget will be in the year 2011?
A)$391,000
B)$417,000
C)$404,000
D)$411,000
My answer is D) $411,000 in 2011.
There is an average increase of 4% from the previous budget to arrive at the amount of the current year.
2009 budget $381,700
381,700 * (1.04)² = 381,700 * 1.0816 = 412,846.72 only Choice D. is nearest to the amount
2000 budget $265,100
265,100 * (1.04)¹¹ = 265,100 * 1.540 = 408,254 only Choice D. is nearest to the amount.
A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.
Refer to the diagram shown below, which shows two of 16 equally-spaced cars attached to the center of the wheel.
The total central angle around the wheel is 2π.
Therefore the central angle between two cars is
(2π)/16 = π/8 = 0.39 radians (nearest hundredth)
The arc length between two cars is
s = (20 ft)*(π/8 radians) = 2.5π = 7.85 ft (nearest hundredth)
The area of a sector formed by two cars is
(1/16)*(π*20²) = 78.54 ft² (nearest hundredth)
Answers: (to the nearest hundredth)
Between two cars,
Central angle = 0.39 radians (or 71.4°)
Arc length = 7.85 ft
Area of a sector = 78.54 ft²
what is larger 0.0013 or 0.02
Write a possible function rule for the following sequence.
11, 15, 19, 23, 27, ...
a(n)=?
3!3! = 362,880 81 36
Divide 35b^5 +20ab^3 +20a^2b^2 by 5b^2
A particular metal alloy a has 20% iron and another alloy b contains 60% iron. how many kilograms of each alloy should be combined to create 80 kg of a 52% iron alloy?
Yana is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line. The length of AD is equal to 4, the length of DB is equal to 5, the length of AE is equal to 6 and the length of EC is equal to 7. She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption? 4:9 ≠ 6:13 4:9 ≠ 6:7 4:13 ≠ 6:9 4:5 ≠ 6:13
Please see attached file for the triangle’s figure:
Going with the image attached, if DE is parallel to BC
then
4: (4 + 5) = 6 : (6 + 7).
Therefore, the inequality that she will use to contradict the assumption
is 4:9 ≠ 6:13.
To add, a relation that holds
between two values when they are different in mathematics is called an inequality. A is not equal to b also means the notation a ≠ b.
Answer:
4:9 ≠ 6:13.
Step-by-step explanation:
If BC = 5 and CD = 26, find AC.
Answer:
[tex]AC=\sqrt{130}[/tex]
Step-by-step explanation:
AC is the geometric mean. Solve it using this proportion:
[tex]\frac{BC}{AC}=\frac{AC}{CD}[/tex]
Now fill in the values we know:
[tex]\frac{5}{AC}=\frac{AC}{26}[/tex]
Cross multiply to get
[tex](AC)^2=130[/tex]
That means that
AC = [tex]\sqrt{130}[/tex], which, in decimal form is
AC = 11.40175425
The population of a type of local frog can be found using an infinite geometric series where a one equals 84 and the common ratio is one over five find the sum of the infinite series that will be the upper limit of this population. 87,105,425, or this series is divergent
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -6. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
a number diminished by 2 is 6
4n-3<12 solve and please don't give me the answer just the equation
Match the perfect square trinomials with their factors 4a2 + 4a + 1 (2 + a)(2 + a) 4a2 − 4a + 1 (2a + 1)(2a + 1) 4 − 4a + a2 (2a − 1)(2a − 1) 4 − 4a − a2 (2 − a)(2 − a) 4 + 4a + a2
How many cans of paint are needed to cover an area of 2,200 square units if one can of paint covers an area of 400 square units? 4 5 6 8?
if you subtract 23.47 km from 560.589 km, how many significant digits would your answer have?
Which of the following relations represent a function? {(1,-3),(-2,0),(1,4)} {(-2,0),(3,0),(-2,1)} {(3,-8),(-2,0),(4,1)} {(4,12),(4,13),(-4,14)}
To determine if a relation is a function, check for repeated x-values. The relations that represent a function are {(1,-3),(-2,0),(1,4)} and {(3,-8),(-2,0),(4,1)}.
Explanation:In order for a relation to represent a function, each input (x-value) must correspond to exactly one output (y-value). We can determine if a relation is a function by checking for any repeated x-values. If there are no repeated x-values, then the relation is a function. Let's apply this to the given relations:
The relation {(1,-3),(-2,0),(1,4)} represents a function because each x-value is unique.
The relation {(-2,0),(3,0),(-2,1)} does not represent a function because there is a repeated x-value (-2).
The relation {(3,-8),(-2,0),(4,1)} represents a function because each x-value is unique.
The relation {(4,12),(4,13),(-4,14)} does not represent a function because there is a repeated x-value (4).
So, the relations that represent a function are {(1,-3),(-2,0),(1,4)} and {(3,-8),(-2,0),(4,1)}.
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Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.
Which translation will change figure ABCD to figure A'B'C'D'?
A. 7 units left and 6 units up
B. 6 units left and 7 units up
C. 7 units left and 5 units up
D. 5 units left and 7 units up