The measure of angle E, the angle of elevation from point A to point B, is 5(x-2). The measure of angle D, the angle of depression from point B to point A, is (x+14). Find the measure of each angle.
Answer:
measure of angle E equals 20 degrees, measure of angle D equals 20 degrees
how many radians are in a semicircle? a.2π, b.π, c.π/2, d.3π/2
A semicircle, which is half of a full circle, consists of half the total amount of radians in a full circle. Since a full circle has 2π radians, a semicircle contains π radians. Therefore, the correct answer is b.π.
Explanation:To answer your question, let's review the structure of a circle.It is divided by its radius into 360 degrees or by its diameter into a full rotation of 2π radians. Therefore, a semicircle, which is half of a circle, must consist of half the total amount of radians in a full circle.
In a full circle, there are 2π radians. Hence, in a semicircle, which is exactly half of the full circle, there would be 2π/2. This simplifies to π radians.
So, the correct answer to your question 'How many radians are in a semicircle?' is b.π.
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Which is a disadvantage of withdrawing more money than is available in a checking account?
A disadvantage of withdrawing more than you have in your account is you will be charged an overdraft fee.
What is an Overdraft Fee?An overdraft fee can be described as the fee your bank charges you when you make a withdrawal from your account beyond what you have in it.
An overdraft fee is one of the disadvantages of withdrawing more money than you have in your account..
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Which expression represents the sixth term in the binomial expansion of (5y+3)^10
Answer:
bb
Step-by-step explanation:
In an office, the number of chairs, c , is equal to five more than twice the number of desks, d. Which equation matches the information?
Final answer:
The algebraic equation that represents the relationship between the number of chairs, c, and the number of desks, d, in an office, where the number of chairs is five more than twice the number of desks, is c = 2d + 5.
Explanation:
The student's question pertains to creating an algebraic equation based on a given word problem describing the relationship between the number of chairs (c) and desks (d) in an office. The problem states that 'the number of chairs, c, is equal to five more than twice the number of desks, d'.
To formulate the equation that illustrates this relationship, we apply the information provided:
Identify the number of chairs as c.Determine that c is 'five more than' something, which suggests addition.Recognize that 'twice the number of desks' means 2 times d, or 2d.Combine the above to conclude that the 'five more than' is added to the 'twice the number of desks', which gives us the equation c = 2d + 5.Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle. Explain why, despite having three sides, Ruben will not be able to make a triangle with his three pieces.
Answer:
The dowels are congruent, so they have the same length. If one is cut, the sum of the lengths of the two cut pieces will equal the length of the longer piece. If the pieces are to make a triangle, the sum of the lengths of the two cut pieces must be greater than the length of the third piece.
Step-by-step explanation:
amy is building a house. the basement floor is at -15 feet. the roof of the house is above the ground 25 feet. write an inequality to compare the heights. explain the meaning of the inequality.
BONUS: what is an inequality.
The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine and Japan?
What is the slope of a line that is parallel to to the one shown? (-3, 2) (0, -2)
A bucket is put under a leaking ceiling. the amount of water in the bucket doubles every minute. after 8 minutes, the bucket is full. after how many minutes is the bucket half full? show work
Find the sum of the geometric series with a1 = 7, r = 2, And n = 14
The sum of the geometric series with a1 = 7, r = 2, and n = 14 is -327661.
Explanation:The question is asking for the sum of a geometric series. In mathematics, the sum (S) of a geometric series is determined using the formula S = a1 * (1 - r^n) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.
In the provided geometric series, a1 = 7, r = 2, and n = 14. Substituting these values into the formula gives us S = 7 * (1 - 2^14) / (1 - 2). After performing the calculations, the sum of the geometric series is -327661.
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The sum of the first 14 terms of the geometric series with the first term (a1) = 7, common ratio (r) = 2, is 114,691.
Explanation:Given the first term of the geometric series (a1) = 7, the common ratio (r) = 2, and the number of terms (n) = 14, we would like to find the sum of this series. Using the formula for the sum of a geometric series, S = a1 * (1 - r^n) / (1 - r), substituting the given values, we get:
S = 7 * (1 - 2^14) / (1 - 2)
This simplifies to S = 7 * ( -16383) / -1, which results in S = 114,691. So, the sum of the first 14 terms of this geometric series is 114,691.
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What is the solution to 2log9(x)=log^9(8)+log9(x-2)
Answer:
C. x=4
Step-by-step explanation:
A bond is a small, interest-bearing loan made by an individual to a corporate or government entity.
Please select the best answer from the choices provided
T
F
Answer: TRUE
Step-by-step explanation:
△ABC is reflected to form △A′B′C′ . The vertices of △ABC are A(3, 1) , B(1, 5) , and C(6, 9) . The vertices of △A′B′C′ are A′(−1, −3) , B′(−5, −1) , and C′(−9, −6) . Which reflection results in the transformation of △ABC to △A′B′C′ ?
Answer:
that would be a reflection across the y axis resulting in a -x
Step-by-step explanation:
HELP ME PLEASE! How is the graph of mc027-1.jpg related to its parent function, mc027-2.jpg?
The graph of [tex]y = \sqrt{-2x[/tex] relates to its parent function as a result of (d) horizontal compression by a factor of 2, and a reflection across the y-axis
What is a function transformation?A function transformation involves changing the form or equation of a function to another through reflection, dilation, translation or rotation
How to determine the function transformationThe parent function is given as:
[tex]y = \sqrt x[/tex]
Compress the function horizontally by a factor of 2, using the following rule
[tex](x,y) \to (2x,y)[/tex]
So, we have:
[tex]y = \sqrt {2x[/tex]
Next, reflect the function over the y-axis, using the following rule
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]y = \sqrt {-2x[/tex]
Hence, the function transformation is (d)
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Patrick ate 2/3 of a fruit bar write an equivalent fraction for the amount of fruit bar Patrick ate
a kittens heartbeat can be as fast as 240 beats per minute . to find the number of times a kittens heart beats in 30 seconds , Aiden says divide 240 ny 30 . do you agree with him why or why not
1/6 of 3 yards=______feet
I know I just ask one but u get 17 points so plz help I'm stuck
In this question, first we have to see how many feets are in 1 yard .
And there are 3 feets in 1 yard.
So in 3 yards, there are 9 feets
Therefore we will get
[tex] \frac{1}{6}*3 yards= \frac{1}{6} * 9 feet = 1.5 feet [/tex]
Therefore the answer of the given question is 1.5 feet.
Final answer:
To find the equivalent feet for 1/6 of 3 yards, multiply 1/6 by 3 feet per yard to get 1.5 feet.
Explanation:
1/6 of 3 yards=_____feet
Step 1: 1 yard is equal to 3 feet.
Step 2: To find the equivalent feet for 1/6 of 3 yards, calculate 1/6 x 3 = 0.5 x 3 = 1.5 feet.
Point R is located at (11,5).point S is located at (-1,5). what is the distance between point R and point S
Which statement best compares -1/2 and -2 1/2
The Comparison between -1/2 and -2 1/2 is -1/2 is -2 more than -5/2.
What are fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
-1/2 and -2 1/2
So, -1/2 and -5/2.
So, the quantity -1/2 > -5/2
Also, -1/2 is -2 more than -5/2.
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A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters.
Sally has a storage container for the prism that has a volume of 143 cubic millimeters.
What is the difference between the volume of the prism and the volume of the storage container?
Help Please?
Answer:
21 1/2
Step-by-step explanation:
Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 10 meters and a height of 11 meters
The exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.
To calculate the exact volume of an oblique cylinder using Cavalieri's Principle, follow these steps:
1. Consider a right cylinder with the same base and height as the oblique cylinder. The volume of the right cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
2. Since the oblique cylinder and the right cylinder have the same base and height, their volumes are equal according to Cavalieri's Principle.
3. The formula for the volume of a right cylinder can be applied to the oblique cylinder, giving the volume as V = πr^2h.
4. Substituting the values of the radius (r = 10 meters) and height (h = 11 meters) into the formula gives V = π(10)^2(11) = 110π cubic meters.
5. Therefore, the exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.
Elijah is going to spin a spinner that goes to 4 180 times.He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?
Answer:
A. Elijah’s prediction is exact because 180 divided by 3 = 60.
Step-by-step explanation:
Rearrange the formula A = P + Prt for t.
Translated these questions to a equation:
6 more than 9 times a number x is -12
the quotient of a number t and 7, plus 2, is -4
After losing 30 pounds, an individual weigh 110 pound more than one-third his previous weight
Please help me with questions 24
Let u = <6, -9>, v = <1, -4>. Find u - v.
A) <5, -5>
B) <10, -10>
C) <15, 5>
D) <7, -13>
Final answer:
To find the difference between vectors u and v, subtract the components of v from the corresponding components of u, resulting in the vector A) <5, -5>.
Explanation:
The question involves finding the difference of two vectors u and v. To find the vector u - v, you subtract each corresponding component of vector v from vector u.
For the first component, subtract the x-component of v (1) from the x-component of u (6), which equals 5.For the second component, subtract the y-component of v (-4) from the y-component of u (-9), which equals -5.Thus, the vector u - v is A) <5, -5>.
If f(x)=7+4x and g(x)=1/2x What is the value of (f/g)(5)?
Answer:
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 270[/tex]
Step-by-step explanation:
We are given the following information in the question:
[tex]f(x) = 7 +4x\\\\g(x) = \displaystyle\frac{1}{2x}[/tex]
We have to find the values of [tex]\displaystyle\frac{f}{g}(x)[/tex]
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = \frac{f(x)}{g(x)} = \frac{7 + 4x}{\frac{1}{2x}} = 2x(7+4x)[/tex]
Putting x = 5, we have:
[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = 2x(7+4x)\\\\\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 2(5)(7+20)=270[/tex]
270 is the required value of [tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5)[/tex].
how to solve -2x+y=7, 3y=6x+4