Answers
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.
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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.
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Related Questions
A box contains 3 plain pencils and 9 pens. a second box contains 7 color pencils and 3 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected?
Answers
probability of picking pencil in 1st box is 3/12 which reduces to 1/4
7 pencils and 3 crayons = 10 total
probability of picking pencil from 2nd box is 7/10
probability of both = (1/4 * 7/10) = 7/40 <==
A customer went to a garden shop and bought some potting soil for 12.50 and 5 shrubs.The total bill was 62.50. Write and solve and equation to find the price of each shrub
Answers
s - the price of one shrub
p - the price of potting soil
p = 12.50
The total bill for 1 potting soil and 5 shrubs was 62.50:
p + 5s = 62.50
12.50 + 5s = 62.50
5s = 62.50 - 12.50
5s = 50.00
s = 50.00 : 5
s = 10.00
Order 51/62 32/43, and 74/87
Answers
Least to Greatest = 32/43, 51/62, and 74/87
You can simply find the answer by putting the fractions in decimal form or putting them all under a common denominator.
Hope I helped!!
What is the x-intercept of the equation 2x-6y=12?
Answers
2x = 12
x = 6
what is 9(x+86x)-800+900x
Answers
Let's simplify step-by-step.
9(x−866x)(800)+900x
=−6228000x+900x
Combine Like Terms:
=−6228000x+900x
=(−6228000x+900x)
=−6227100x
Answer:
=−6227100x
Hope This Helps!
Do what you love, Love what you do!
~GlitterWolfy~
Cristiano Ronaldo has a messy house. He hires a maid to clean his house for $125 per visit.
Part A:Write a function to represent the total cost Cristiano spends having his house cleaned.
Part B: Define the input and output in the given scenario.
Answers
Answer: y (x)= 125 x
input : number of visits "x"
output :total cost "y"
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Cost per visit: $125So, to obtain the total cost (y) we have to multiply the cost per visit by the number of visits (x)
y (x)= 125 x
Where the input is the number of visits "x" and the output is the total cost "y"
Feel free to ask for more if needed or if you did not understand something.
Classify the numbers as prime or composite
Answers
I am gonna give you classify three numbers as prime numbers and three numbers composite numbers, since you never mentioned about any specific numbers.
Prime numbers
1.3- it is a prime number because they only factors it has, is 1 and itself.
2.11- it is a prime number because you can only multiply by 11 or 1 to get 11.
3.13- it is a prime number because it only has 2 factors.
Composite numbers
1.4- it is a composite number because it has more than 2 factors.
2.8- it is a composite number because it has 1,2,4, and 8 as its factors.
3.14- it is a composite number because it has 1,2,7,and 14 as its factors.
15 oranges were purchased.
Cost per orange: $0.45
c = total cost of oranges
Which equation shows
the total cost of oranges?
Answers
Liv wants to buy a new pair of jeans for an upcoming party. She finds a pair she likes that was originally priced at $50 and is now on sale for $42. What is the percent of discount for this item?
A.) 16%
B.) 18%
C.) 20%
D.) 25%
Answers
a rectangle has a perimeter of 88 ft. if the ratio of its length to width is 9:2, what is its actual length and width
Answers
11 units
P=2(L+W)
88=2(L+W)
divide by 2 both sides
44=L+W
44=11 units
divide by 11 both sides
4=1unit
9*4=36
2*4=8
legnth is 36ft
width=8ft
a square is just big enough to contains a unit circle. what is radius of the largest circle in one of the corners in the square but outside the unit circle?
Answers
So, H² = 0.5²+0.5²
H² = 0.25 + 0.25
H² = 0.50
H = √0.50
H = 0.707 of unit value.
Radius & your final answer would be 0.707 of unit value.
Hope this helps!
I hope this helps.
You are climbing a mountain by the steepest route at a slope of 10∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail?
Answers
When a trail branches off from a path with a 10° slope at a 45° angle, the angle of ascent of the branch trail is still 10° if the steepness remains constant.
If you are climbing a mountain by the steepest route at a slope of 10° and then encounter a trail that branches off at a 45° angle from your current path, we can calculate the angle of ascent of the branch trail using geometric relationships. To do this, we must comprehend that slopes can also be represented in percentages and are related to angles. For instance, a 100% slope corresponds to a 45° angle.
The steepest route you are initially taking has a 10° slope. When the branch trail diverts at a 45° angle from your path, this is not the angle of ascent but rather the angle between the two paths. If we consider a straight climb as a slope of 90°, your ascent angle would not change as it is still 10°. The branch trail effectively shifts direction but not necessarily the steepness of the path. Hence, the angle of ascent for the branch trail would also be 10°, assuming it maintains the same steepness as your original path.
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. each necklace costs $7. the jeweler wants to know the total cost of ordering n necklaces.
Answers
Hope this helps!
Answer:
7n + 6.00
Step-by-step explanation:
A jeweler orders necklaces from a website that offers $6 shipping for any size order.
Each necklace costs $7.00
The jeweler wants to know the total cost of ordering 'n' necklaces.
Therefore the cost of the necklaces is
Total Cost = 7n + 6.00
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)
Answers
(f-g)(x)=2x+1-(x^2-7)
(f-g)(x)=2x+1-x^2+7
(f-g)(x)= -x^2+2x+8
Answer:
The required answer is: [tex]-x^2+2x+8[/tex]
Step-by-step explanation:
We have been given the two function:
[tex]f(x)=2x+1[/tex]
And [tex]g(x)=x^2-7[/tex]
We have to find (f-g)(x):
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](2x+1)-(x^2-7)[/tex]
[tex]2x+1-x^2+7[/tex]
[tex]-x^2+2x+8[/tex]
We will get the quadratic expression after the prescribed operation been applied.
Hence, the required answer is: [tex]-x^2+2x+8[/tex]
prove the identity. show all work. tan(x-pi/4)=tanx-1/tanx+1
Answers
We used the tangent difference identity to rewrite the LHS in terms of [tex]\( \tan x \) and \( \tan \frac{\pi}{4} \)[/tex], then simplified to match the RHS, confirming the identity.
To prove the identity [tex]\( \tan(x-\frac{\pi}{4}) = \frac{\tan x - 1}{\tan x + 1} \),[/tex] we'll start with the left-hand side (LHS) and manipulate it to match the right-hand side (RHS).
LHS: [tex]\( \tan(x-\frac{\pi}{4}) \)[/tex]
Using the tangent difference identity, [tex]\( \tan(a - b) = \frac{\tan a - \tan b}{1 + \tan a \cdot \tan b} \)[/tex], we have:
[tex]\[ \tan(x-\frac{\pi}{4}) = \frac{\tan x - \tan \frac{\pi}{4}}{1 + \tan x \cdot \tan \frac{\pi}{4}} \][/tex]
Since [tex]\( \tan \frac{\pi}{4} = 1 \)[/tex], we can substitute:
[tex]\[ \tan(x-\frac{\pi}{4}) = \frac{\tan x - 1}{1 + \tan x \cdot 1} \][/tex]
[tex]\[ = \frac{\tan x - 1}{\tan x + 1} \][/tex]
This matches the RHS of the identity. Therefore, we have successfully proved the identity.
What's the numerator for the following rational expression? G/h + 8/h = ?/h
Answers
So G/h + 8/h = (G+8)/h
Hope this Helps! :)
As you can see, there is h is denominator on both RHS & LHS.
So, you can eliminate it & can consider all numerators as a whole at a time.
Then, it will be:
G+8 = G+8
So, your final answer is G+8
Hope this helps!
Shuttle A departs every 8 minutes Shuttle B departs every 10 minutes and Shuttle C departs every 12 minutes. If all shuttles leave the airport at 4:00 P.M., at what time will they next leave the airport together?
Answers
A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be after 4 years?
round your answer to the nearest dollar ...?
Answers
65% de 2300 = 1495 (mes 1)
2300-1495 = 805 (mes 2)
65% de 805 = 523,25 (mes 3)
65% de 523,25 = 340,1125 ~ 340,10 (mes 4)
given the function f(x)=3√x-2; What restriction is there on the value uner the square root symbol? In other words what can't you do with a square root expression? ...?
Answers
Answer:
x must be greater than or equals to 2
Step-by-step explanation:
Here we follow the rule , which says that , the term inside the square root must not be less than 0. It is because, square of any real number whether positive or negative always results in a positive real number. Hence , there can not be negative real number whose sqaure root exists.
Hence
In order to function to be defined ,
x-2>=0
Adding 2 on both sides we get
x>=2
Hence this is our condition.
a segment has endpoint (-4,8) and 4,12) what are the coordinates of the midpoint
Answers
-4+4 = 0
Then cut this result in half to get
0/2 = 0
So the x coordinate of the midpoint is 0
Similarly, the y coordinates of the two points are 8 and 12. They add to 8+12 = 20
Half of that result is 20/2 = 10
So the y coordinate of the midpoint is 10
The final answer here is the midpoint is (0,10)
the midpoint of the poins (x1,y1) and (x2,y2) is
[tex]( \frac{x1+x2}{2}, \frac{y1+y2}{2}) [/tex]
basically, take their average
given
(-4,8) and (4,12)
x1=-4
y1=8
x2=4
y2=12
[tex]( \frac{-4+4}{2}, \frac{8+12}{2}) [/tex]
[tex]( \frac{0}{2}, \frac{20}{2}) [/tex]
(0,10)
midoint is (0,10)
How to divide this 4.48÷1.4
Answers
:)
what is the scietnific notation of 108,000,000?
...?
Answers
Two triangles that have the same side lengths will always be congruent.
A. True
B. False
Answers
Help please!!
Solve for r.
p = 4r + 3t
A) r =
p - 3t
4
B) r =
p - 4t
3
C) r =
p + 3t
4
Eliminate
D) r =
p + 4t
3
Answers
4r=p-3t
r=p-3t/4
Bob climbed down a ladder from his roof, while Rob climbed up another ladder next to him. Each ladder had 30 rungs. Thrir friend Jill recorded the following information about Bob and Rob: Bob Went down 2 rungs every second .Rob went up 1 rung every second . At some point , Bob and Rob were at the same height. Which rung were they on ?
Answers
passes while they climb.
.
Bob starts at rung 30 and goes down at a rate of -2 rungs per second. So the equation for
Bob's height is:
.
H = -2*t + 30
.
Meanwhile, Rob starts at rung 0 and goes up at a rate of +1 rung per second. So the equation
for Rob's height is:
.
H = t + 0 = t
.
You are interested in finding the height (in rungs) where the two will be standing on
the same rung. Since the two heights are the same, we can set the right sides of our two
height equations equal. So we can say that:
.
-2*t + 30 = t
.
To solve this equation for t, first get rid of the 30 on the left side by subtracting
30 from both sides of the equation. This subtraction converts the equation to:
.
-2*t = t - 30
.
Next get rid of the t on the right side by subtracting t from both sides. The equation then
becomes:
.
-3*t = -30
.
Solve for t by dividing both sides of this equation by -3 to find that:
.
t = -30/-3 = 10 seconds
.
In 10 seconds Rob will have climbed to rung number 10 because he climbs at 1 rung per
second. And in 10 seconds at a rate of 2 rungs per second Bob will climb down 20 rungs. But
Bob started on rung 30 so he will be at rung 10 also because 30 - 20 = 10.
.
Hope this helps you to understand the problem a little better.
The problem involves finding the time and the rung at which Bob and Rob meet. They both meet on the 10th rung after 10 seconds of Bob's descent and Rob's ascend on their ladders, moving at their respective rates.
Explanation:In this problem, we are asked to find the rung at which both Bob and Rob meet. Each ladder has 30 rungs. Bob is descending from 30 rungs, moving down 2 rungs every second. Rob is ascending from 0 rungs, moving up 1 rung every second. To determine where they meet, we need to find the time at which the rungs they're on coincide.
Bob goes down 2 rungs per second, so in 't' seconds Bob will be on the 30 - 2t rung. Similarly, Rob goes up 1 rung per second, so in 't' seconds Rob will be on the t rung. They meet when 30 - 2t equals t. Solving this equation gives us that t equals 10 seconds.
So at 10 seconds, they meet & the rung they're on is t = 10. Hence, Bob and Rob meet on the 10th rung.
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Each face of a pyramid is an isosceles triangle with a 74° vertex angle. What are the measures of the base angles?
Answers
A soma dos ângulos internos do triângulo é 180º
x + x + 74 = 180
2x = 180 - 74
2x = 106
x = 106/2
x = 53º (ângulos da base)
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
The sum of the isosceles triangle = 180°
The base angle of the isosceles triangle for each face of a pyramid is 53°
What is a triangle?Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
Now,
Vertex angle of the isosceles triangle = 74°
The sum of the isosceles triangle = 180°
Let the two equal base angles = x
x + x + 74° = 180°
2x + 74° - 180°
2x = 180 - 74
2x = 106
x = 53°
Thus,
The base angle of the isosceles triangle for each face of a pyramid is 53°
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capricia is using ribbon to create girls hair barrettes. she has a total of 64 yrds of ribbon with which to make her creations. Regular barrettes requires 1 yrd of ribbon and a deluxe of barrettes use 4 yds .
WRITE AN INEQUALITY
Answers
The inequality that represents the situation is 1*R + 4*D <= 64 which indicates that the total amount of ribbon used to make regular and deluxe barrettes should not exceed 64 yards.
Explanation:Let's denote the number of regular barrettes as R and that of deluxe barrettes as D. Each regular barrette requires 1 yard of ribbon and each deluxe barrette requires 4 yards of ribbon. We know that Capricia has a total of 64 yards of ribbon. Therefore, we can create the inequality as follows:
1*R + 4*D <= 64
This inequality states that the total amount of ribbon used for both the regular and the deluxe barrettes should not exceed 64 yards.
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What is the equation of the line that has a y-intercept of -7 and is perpendicular to the line represented by the equation below? 8x 7y=19
Answers
- 8x
7y = 19 - 8x
÷ 7
y = 2 5/7 - 8/7x
So if that line is perpendicular to the line you're looking for, then the gradient (x value/slope) is the negative reciprocal to the gradient you're looking for, which would then be 7/8. You are told it has a y intercept of -7, so your final answer is:
y = -7/8x - 7
Hope this helps!
Answer: red sus tbh
Step-by-step explanation:
How would the following numbers be represented in E notation?
3.287 x 10^6
Answers
or
3.287E+6
E replaces the value of 10
Katie earned $1890 in 7 years on an investment at a 6% annual simple interest rate. How much was Katie’s investment?
Answers
[tex] \frac{100}{6} [/tex] = $4500
Your answer is $4500
Hope it helped