Point E has a negative x-coordinate, and its y-coordinate is not 0
Where could point E be located on the coordinate plane?
Point H is the incenter of triangle ABC. Find DH.
a. 14
b. 7
c. 18
d. 21
Due to a lack of information provided, the length of segment DH in the triangle ABC, where H is the incenter, cannot be determined as provided options could all be possible or might be something entirely different.
Explanation:The question doesn't provide enough information to determine the length of segment DH. In a triangle, the incenter is the center of the inscribed circle (incircle). This is the point where all the angle bisectors of the triangle meet. Segment DH would be a line from the incenter to a point on one of the triangle's sides, in other words, a radius of the incircle. However, without more information such as the length of the sides of the triangle or its area, it isn't possible to determine the length of DH. It could be any of the provided options (14, 7, 18, 21) or something else entirely.
Learn more about Incenter of a Triangle here:https://brainly.com/question/2279756
#SPJ12
The incenter of a triangle is the point where the angle bisectors of the three angles of the triangle intersect.
Explanation:The incenter of a triangle is the point where the angle bisectors of the three angles of the triangle intersect. To find the distance DH, we can use the fact that the incenter is equidistant from the three sides of the triangle.
Let AD, BE, and CF be the angle bisectors of triangle ABC, where D, E, and F are the points of intersection with the sides.The incenter H is equidistant from each side of the triangle. So, we have DH = EH = FH.Let DH = x. Then, we have AH = 2x, BH = 2x, and CH = 2x.Therefore, DH = x = (AH + BH + CH)/3 = (2x + 2x + 2x)/3 = 6x/3 = 2x.
Since DH = 2x, the distance DH will be twice the distance from the incenter to any side of the triangle. Without knowing the specific values of the sides of triangle ABC, we cannot determine the exact value of DH. Therefore, none of the given options (a, b, c, d) is the correct answer.
Learn more about Incenter of a Triangle here:https://brainly.com/question/2279756
#SPJ12
Team infinite dimensions canoed 15 3/4 miles in 3 hours. what was their average rate of speed in miles per hour?
p varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.
a.10.2
b.22.95
c.42.4
i got B ...?
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem we have
[tex]p=20.8\\q=31.2[/tex]
Find the value of k
[tex]k=q/p[/tex]
Substitute the values
[tex]k=31.2/20.8[/tex]
[tex]k=1.5[/tex]
The linear equation is
[tex]q=1.5p[/tex]
For [tex]q=15.3[/tex]
Find the value of p
Substitute in the linear equation and solve for p
[tex]15.3=1.5p[/tex]
[tex]p=15.3/1.5=10.2[/tex]
therefore
the answer is the option a
[tex]10.2[/tex]
Find the surface area and volume of a sphere having a radius of 4"
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.
On a movie set, an archway is modeled by the equation y = -0.5x^2 + 3x, where y is the height in feet and x is the horizontal distance in feet. A laser is directed at the archway at an angle modeled by the equation -0.5x + 2.42y = 7.65 such that the beam crosses the archway at points A and B. At what height from the ground are the points A and B?
A.) 1.5 feet and 3.5 feet
B.) 1.4 feet and 4 feet
C.) 3.5 feet and 4 feet
D.) 4 feet and 4 feet
The laser will cut the archway at height of 3.5 feet and 4 feet (Option C).
Equating the parabolic and Linear Equation?A linear equation exists an equation in which the highest power of the variable stands always 1. It exists also known as a one-degree equation. The standard form of a linear equation in one variable exists in the form Ax + B = 0. Here, x is a variable, A exists as a coefficient and B is constant.
A parabola exists as a plane curve that stands mirror-symmetrical and is approximately U-shaped. It fits several superficially various mathematical descriptions, which can all be proved to determine exactly the same curves.
Refer to the following figure:
The blue line represents eqn of archway: y = -0.5x^2 + 3x, and green line represent eqn of laser: -0.5x + 2.42y = 7.65.
Now to find out the points at which laser cuts archway, we need to equate both the eqns.
[tex]-0.5x^{2} +3x=\dfrac{7.65+0.5x}{2.42}[/tex]
[tex]-1.21x^{2} +7.26x=7.65+0.5x[/tex]
[tex]-1.21x^{2} +6.76x-7.65[/tex]=0
On solving the quadratic eqns, we get x =3.5 and 4 (approximate)
Therefore, point A and B are 3.5 and 4 feet respectively.
To know more about parabola refer to:
https://brainly.com/question/9201543
#SPJ2
Find the lowest common denominator for the set of fractions: 6/a^2-7a+6 and 3/a^2-36
Answer:
(a-6)(a-1)(a+6)
Final answer:
The lowest common denominator for the fractions [tex]6/(a^2-7a+6)[/tex] and [tex]3/(a^2-36)[/tex] is (a-6)(a-1)(a+6).
Explanation:
To find the lowest common denominator for the fractions [tex]6/(a^2-7a+6)[/tex] and [tex]3/(a^2-36),[/tex] we need to determine the least common multiple of the denominators.
The denominator of the first fraction can be factored as (a-6)(a-1) and the denominator of the second fraction can be factored as (a-6)(a+6).
The common factors are (a-6) and (a-1)(a+6).
Therefore, the lowest common denominator is (a-6)(a-1)(a+6).
Suppose
cos(π/2−x) =3/5, cos x =4/5
find sin, tan, csc, sec, cot
To find the values of sin, tan, csc, sec, and cot, we use trigonometric identities and given information. Sin x = 3/5, tan x = 3/4, csc x = 5/3, sec x = 5/4, and cot x = 4/3.
Explanation:To find the values of sin, tan, csc, sec, and cot, we can use the trigonometric identities. From the given information, we know that cos x = 4/5. Using the Pythagorean identity, sin² x = 1 - cos² x, we can find sin x as:
sin x = sqrt(1 - (4/5)²) = sqrt(1 - 16/25) = sqrt(9/25) = 3/5
Now, we can calculate the remaining trigonometric values:
tan x = sin x / cos x = (3/5) / (4/5) = 3/4
csc x = 1 / sin x = 1 / (3/5) = 5/3
sec x = 1 / cos x = 1 / (4/5) = 5/4
cot x = 1 / tan x = 1 / (3/4) = 4/3
graph the function g (x)=1/3-4/3x
The function f(x)=5000(0.98)^0.3x
represents the number of white-blood cells, per cubic millimeter, in a patient x days after beginning treatment for a virus.
What is the average decrease per day in white-blood cells per cubic millimeter between days 1 and 5?
a.) −29.75 mm^3/day
b.)-34.75 mm^3/day
c.)-282.47 mm^3/day
d.-)353.08 mm^3/day
Which law would you use to simplify the expression (x^⁴)⁹ ?
A. product of powers
B. power of a product
C. power of a quotient
D. power of a power
if you see this similar format you will recognize the equation as power of a power ^^•
Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what number must be added to the set so that the mean of the 6 numbers is 9?
What is the value of 324?
PLEASE HELP!!!! I DON'T KNOW HOW TO DO THIS!!
The radius,
R
, of a sphere is
5.8m
. Calculate the sphere's volume,
V
.
Use the value
3.14
for
π
, and round your answer to the nearest tenth.
Which of the following is a factor of 3x3 + 18x2 + 27x?
9x
x3
x + 3
x - 3
If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sale tax?
Sales tax is $ 2.75
Further Explanation
How to calculate
Tax = $ 25.00 x (11/100)
Tax = $ 25.00 x 0.11
Tax = $ 2.75
Initial purchase of $ 22.25 + 11% Tax ($ 2.75) = $ 25.00
Or other alternatives:
11% tax
n = sales tax value
11% = $ 25.00 / n
n = $ 25.00 x 11%
n = ($ 25.00 x 11) / 100
n = $ 275/100
n = $ 2.75
So, the sales tax is $ 2.75
Sales tax (VAT) is tax before Value Added Tax (VAT) and is charged each time a sales transaction. A VAT is charged at the manufacturer level / not to retailers (end users). A VAT is collected when delivering goods or services.
Definition of Tax Debt
Debt is an engagement as a result of a special agreement called a debt payable, which requires the debtor to pay the amount of money he has borrowed from creditors.
Sales tax / value-added debt or Sales tax payable is the company's debt to the tax office for sales tax collected by the company from customers for the sale of goods/services. Sales tax rates are deposited by the tax office multiplied by sales / net sales (net sales).
Example
$ 12 cash sale including 10% VAT
Tax Amount: 10 / ÷ 100 × 12 = $ 1.2
Sales Amount: 12 - 1.2 = $ 10.8
Learn More
VAT https://brainly.com/question/2374116
Sales Tax https://brainly.com/question/2374116
Details
Class: High School
Subject: Mathematics
Keywords: VAT, Tax, Sales
what is the distance between 0 and 7/10?
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above.
F(x, y, z) = xyi + 5zj + 7yk, C is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 9.
Philip charges $12 to rake the yard she charges $5 per hour to bag the piles of leaves for 2 hours what is the expression
1.) If 60% of a number is 18, what is 90%of the number?
A.)3
B.)16
C.)27
D.)30
2. Taryn's grandma took her family out to dinner.If the dinner was $74 and Taryan's dinner was 20% of the bill, how much was Taryn's dinner?
A.$6.80
B.$7.20
C.$9.50
D.$14.80
How do you write 6.8 as a fraction?
The first term in a sequence is x. Each subsequent term is three less than twice thw preceding term. what is the 5th term in the sequence?
A) 8x-21
B) 8x-15
C) 16x-39
D) 16x-45
E) 32x-93 ...?
A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 13 feet more than the length of the shortest side. Find the dimensions if the perimeter is 125 feet
Prove that a triangle cannot have two right angles.
A triangle cannot have two right angles. Suppose a triangle had two right angles.
A triangle cannot have two right angles because the sum of the interior angles in any triangle is equal to two right angles. Having two right angles would necessitate that the third angle also be a right angle, forming a straight line instead of a triangle.
Proof that a Triangle Cannot Have Two Right Angles
The notion that a triangle cannot have two right angles is fundamentally rooted in the geometry axiom stating that the sum of the interior angles in any triangle is equal to two right angles (or 180 degrees). If a triangle were to have two right angles, the third angle would also have to be a right angle to satisfy the sum of 180 degrees. However, if the third angle is a right angle, this contradicts the definition of a triangle being a three-sided polygon with three angles that add up to 180 degrees; with three right angles, the figure would no longer be a triangle, as the three lines AC, CD, and BD would line up to form a straight line, eliminating the closed polygon structure of a triangle.
If we consider the work of notable mathematicians such as Legendre and Dehn, we find substantial evidence supporting the statement that the sum of the interior angles of a triangle cannot be greater than two right angles. Legendre's attempts to prove this led to understanding the consistency of triangle angle sums across all triangles; that is, if one triangle's angles added up to two right angles, it would be the same for all triangles. Furthermore, Dehn's hypothesis indicated that without parallel lines, the sum of the angles of a triangle is greater than two right angles.
Overall, every triangle must have at least two acute angles, and any attempt to form a triangle with two right angles would result in a shape that does not adhere to the fundamental properties of a triangle.
What is 0.17 in standard form?
Jeff collects toy cars. they are displayed in a case that has 4 rows. there are 6 cars in each row. how many cars does jeff have?
what is the answer to this problem 452q=39,324 ?
SERIOUSLY NEED HELP WITH THIS QUESTION.
The cube in the image has a volume of 1,000 cubic feet. The other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height. What is the volume of the tilted solid?
800 cubic feet
1,000 cubic feet
1,200 cubic feet
2,000 cubic feet
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that the volume of cube is 1,000 cubic feet.
The volume of cube is
[tex]V=a^3[/tex]
[tex]1000=a^3[/tex]
[tex]a=10[/tex]
The side length of cube is 10 feet.
It is given that the other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height.
The area of tilted solid is
[tex]V=\text{Area of base}\times \text{height}[/tex]
Since height and base are same, so the area of tilted solid is
[tex]V=(10 \times 10)\times 10=1000[/tex]
The volume of the tilted solid is 1,000 cubic feet. Therefore the correct option is 2.