Answers
Answer:
NF = 16 units
Step-by-step explanation:
The in-center of a triangle is a point inside the triangle and equidistant from the three sides of the triangleIt is the center of the circle which touch the three sides of the triangle (each side of a triangle is tangent to the circle and the segments drawn from it to the points of tangent are radii of the circle)∵ N is the in-center of ΔABC
∴ N is equidistant from the sides AB, BC and CA
- That means the perpendicular segments from N to AB, BC
and AC are equal
∴ ND = NE = NF
∵ ND = 6x - 2
∵ NE = 3x + 7
- Equate them to find x
∴ 6x - 2 = 3x + 7
- Subtract 3x from both sides
∴ 3x - 2 = 7
- Add 2 to both sides
∴ 3x = 9
- Divide both sides by 3
∴ x = 3
- Substitute the value of x in ND to find its length
∵ ND = 6(3) - 2 = 18 - 2
∴ ND = 16 units
∵ ND = NE = NF
∴ NF = 16 units
Related Questions
e:-6=3:9 what is the blank
Answers
Answer:
e=-2
Step-by-step explanation:
3*x=9
3*3=9
x=3
e*x=-6
e*3=-6
e=-6/3
e=-2
2. need answer soon :) will give brainlyest
What number solves the equation 1/8 (x + 9) = 5?
Answers
Answer:
31
Step-by-step explanation:
Answer:
The number is 31
Step-by-step explanation:
Step 1: Distribute
1/8 (x + 9) = 5
1/8x + 9/8 = 5
Step 2: Subtract 9/8 from both sides
1/8x + 9/8 - 9/8 = 5 - 9/8
1/8x = 31/8
Step 3: Multiply both sides by 8
1/8x * 8 = 31/8 * 8
x = 31
Answer: The number is 31
what is the volume of a cube with sides 8.1
Answers
Answer:
531.441
Step-by-step explanation:
8.1*8.1*8.1 = Volume of a cube
Edmond is on the third day of his hike up Glacier Peak. The graph below shows his hiking time and altitude for the third day only.
What was his altitude at the beginning of the third day?
A. 5,000 feet
B.
3,500 feet
C. 3,000 feet
D 4,000 feet
Answers
Answer: 3,500 feet
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 3,500 feet.
Answer: my question was a little different but i posted an image of the correct answer.
Step-by-step explanation:
To determine the original altitude for the third day, identify the y-intercept of the graph.
Therefore, the original altitude was 4,000 feet.
.find the distance between the points (4, 3) and (0, 3).
a) 2
b) 4
c) 10
d) 12
Answers
Answer:The answer is 4
Step-by-step explanation:
steve deposits $1250 in an account paying 3.4% annual interest compounded continously. how long will it take for the account balance to reach $3150.50
Answers
Answer:
It will take 27.19 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex] , where
A = the future value of the investment, including interest P = the principal investment amount (the initial amount) r = the interest rate of interest in decimalt = the time the money is invested for∵ Steve deposits $1250 in an account
∴ P = 1250
∵ The account paying 3.4% annual interest compounded continuously
∴ r = 3.4%
- Change it to decimal by dividing it by 100
∴ r = 3.4 ÷ 100 = 0.034
∵ The account balance will reach to $3150.5
∴ A = 3150.5
- Substitute The values of A, P and r in the formula above to find t
∵ [tex]3150.5=1250e^{0.034t}[/tex]
- Divide both sides by 1250
∴ [tex]2.5204=e^{0.034t}[/tex]
- Insert ㏑ to both sides
∴ [tex]ln(2.5204)=ln[e^{0.034t}][/tex]
- Remember that [tex]ln(e^{n})=n[/tex]
∵ [tex]ln(e^{0.034t})=0.034t[/tex]
∴ ln(2.5204) = 0.034t
- Divide both sides by 0.034
∴ 27.18875 = t
∴ t ≅ 27.19
It will take 27.19 years
6/8=y/16 how do you find the proportion of value y
Answers
That means for the equation to be true y has to be 12.
Hope this helps!
Use the dot plot to answer questions.
Deanna's mean score is approximately
90
90.93
92
92.4
Amy's mean score is approximately
88.5
90
90.27
92.4
Answers
Answer:
90.93 and 90.27
Step-by-step explanation:
She took $20 with her to the movies. When she come back with $6. How much money did she spend
Answers
Answer:
$14
Step-by-step explanation:
$20 minus the $6 she came back with equals $14, which is what she spent.
(20-6=14)
Answer:
$14
Step-by-step explanation:
Take 6 away from 20
The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?
Answers
C. f (x) = 18 (2/3)x-1
Step-by-step explanation:
I got it right on edge. please mark brainliest!!
A movie theater charges $9.50 per movie ticket. If there is an average of 79
moviegoers a day, about how much money does the theater make in a week?
O A. $6000
O B. $3000
O C. $600
O D. -$600
Answers
Answer:
around $6000 the real answer is $5253.5
Step-by-step explanation:
If you roll a die once, what is the probability
of not rolling an odd number? Write your
answer as a fraction.
Answers
The probability of not getting a odd number is 1/2
Answer:
1/2
Step-by-step explanation:
Ur chances are 1 out of 2 bc there are even and there are odd numbers.
Hope this helps!
3. Triangle ABC has angle measures as shown.
Answers
12-4x-x=2 what is the Answers to this
Answers
Answer:
x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
12-4x-x=2
Combine like terms
12 -5x =2
Subtract 12 from each side
12-5x-12 =2-12
-5x = -10
Divide each side by -5
-5x/-5 = -10/-5
x =2
4. Plant A is 18 inches tall after one week, 36 inches tall after two weeks.
56 inches tall after three weeks. Plant Bis 18 inches tall after one week,
36 inches tall after two weeks, 54 inches tall after three weeks. Which
situation represents a proportional relationship between the plants
height and number of weeks? Some
Answers
I hope this helps!
Graph a line that contains the point (-5,6) and has a slope of 2/3
Answers
Answer:
y= 2/3x + 28/3
Step-by-step explanation:
First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!
In a survey of 300 house wires. It was discovered
that 150 had read magazine A, 200 had
read Magazine B and 156 had read
magazine C It was further discovered
that 48 had read A and B 60 had
read B and a while 52 hand read
A and a . Find
The number of housewives that had read.
all three magazine
Answers
Answer:
46 housewives read all three magazines.
Step-by-step explanation:
Given:
n(A) = 150
n(B) = 200
n(C) = 156
n(A∩B) = 48
n(B∩C) = 60
n(A∩C) = 52
n(A∪B∪C) = 300
so we know the relation as:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)
∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)
= 150 + 200+ 156 - 48 - 60 - 52 - 300
= 46
Hence the number of housewives that had read all three magazine is 46.
Answer:
46 housewives read all three magazines.
Step-by-step explanation:
סוווטקיס
Find the length of the segment with endpoints (-9, -9) and (-4,3)
what’s the answer
Answers
Using distance formula we find that length is 13.
Hope this helps.
Find the slope of the line that passes through (9,3) and (6,3)
Answers
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-3)/(6-9)
m=0/-3
m=0
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.
Answers
The number of full time employees is 17 and the number of part time employee is 9
Step-by-step explanation:
Step 1 :
Let f represent the number of full time employee and p represent the number of part time employee
Total number of employees = 26
Hence we have f + p = 26
Step 2 :
Wages of full time employee = $275
Wages of part time employee = $140
Total wages paid by Jeds = $ 5935
Hence we have 275 f + 140 p = 5935
Step 3:
Solving the equations obtained in step 1 and step 2 we have
f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150
275 f + 140 p = 5935
Subtracting equation 2 from 1 we have
135 p = 1215 => p = 9
Substituting this in f + p = 26 gives, f + 9 = 26
So f = 17
Step 4 :
Answer :
The number of full time employees is 17 and the number of part time employee is 9
A rectangle has a length of 7 units and a width of 4 units. One vertex of the rectangle is (0,0).
Use the segment tool to create a rectangle matching its description
Answers
The rectangle with a length of 7 units and a width of 4 units, and with one vertex at the origin (0,0), has been successfully created using the segment tool.
Open the drawing tool or any software that allows you to draw shapes and use the segment tool to begin the construction.
First, mark the origin (0,0) on the canvas as one of the vertices of the rectangle.
Now, move the cursor 7 units to the right from the origin along the x-axis and place a point. This point represents the opposite vertex of the rectangle on the right side.
Next, move the cursor 4 units up from the origin along the y-axis and place another point. This point represents the opposite vertex of the rectangle on the top side.
To complete the rectangle, draw straight lines connecting the following points: (0,0) with (7,0), (7,0) with (7,4), (7,4) with (0,4), and finally, (0,4) back to (0,0).
To know more about rectangle here
https://brainly.com/question/8663941
#SPJ2
Jordan signed a rental agreement for her condo. After she moved out, the
owner determined that the condo needed to be cleaned, the cost of which
totaled $250. How much of the deposit can Jordan expect back? (To view the
contract, click here.)
O A. $700
O B. $950
O C. $750
O D. $500
Answers
Answer:
D. $500
Step-by-step explanation:
Answer:
Step-by-step explanation:
$500
Find the lateral area for the pyramid with the equilateral base
A: 144 sq. units
B: 180 sq. units
C: 288 sq. units
Answers
Solution:
The given pyramid has 3 lateral triangular side
The figure is attached below
Base of triangle = 12 unit
Find the perpendicular
By Pythagoras theorem
[tex]hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Therefore,
[tex]opposite^2 = 10^2 - 6^2\\\\opposite^2 = 100 - 36\\\\opposite^2 = 64\\\\opposite = 8[/tex]
Find the lateral surface area of 1 triangle
[tex]\text{ Area of 1 lateral triangle } = \frac{1}{2} \times opposite \times base[/tex]
[tex]\text{ Area of 1 lateral triangle } = \frac{1}{2} \times 8 \times 12\\\\\text{ Area of 1 lateral triangle } = 48[/tex]
Thus, lateral surface area of 3 triangle is:
3 x 48 = 144
Thus lateral area for the pyramid with the equilateral base is 144 square units
1 point
9. The costs for going to a dog beach are $7 for 1 dog, and $2 for each
additional dog. Which equation shows this situation, where x is greater
than or equal 1? *
Answers
Solution:
Given that,
The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog
Let "x" be the number of dogs
where x is greater than or equal 1
Cost y is $7 for the first dog and $2 for each of the other dogs
Therefore,
y = 7 + 2(x - 1)
x - 1 means the additional dogs
Therefore,
y = 7 + 2x - 2
y = 2x + 5
Thus the equation is found
-5√112 radical expression
Answers
Answer:−
-20 √ 7
Step-by-step explanation:
What is the slope of the line that passes through the points (−9,8) (-9, 8) (−9,8) and (−21,10)? (-21, 10) ?(−21,10)? Write your answer in simplest form.
Answers
Answer:
-1/6
Step-by-step explanation:
(−9,8) and (−21,10)
−21−(−9)
10−8
Plug in.
−21+9
10−8
The negative of a negative is a positive.
−12
2
Add/Subtract.
−
6
1
A positive divided by a negative is a negative.Cancel the common factor of 2.
Final answer:
The slope of the line that passes through the points (-9, 8) and (-21, 10) is calculated using the slope formula and is -1/6.
Explanation:
The slope of a line that passes through two points (x1, y1) and (x2, y2) is calculated using the formula:
slope (m) = (y2 - y1) / (x2 - x1).
For the points (−9, 8) and (−21, 10), the slope can be calculated as follows:
m = (10 - 8) / (−21 - (−9))
m = 2 / (−12)
m = −1/6 (which is the slope in simplest form).
Therefore, the slope of the line that passes through the points (−9, 8) and (−21, 10) is −1/6.
Katrine drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a
There are 15 cups na gallion
Submit
Answers
Question:
Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?
There are 15 cups in a gallon
Answer:
The expression to find the number of cups of water she drinks in a week is:
[tex]\frac{15\ cups}{1\ gallon} \times \frac{0.5\ gallons}{1\ day} \times \frac{7\ days}{1\ week}[/tex]
Solution:
Given that,
1 gallon = 15 cups
[tex]\frac{15\ cups}{1\ gallon}[/tex]
Katrina drinks 0.5 gallons of water per day
1 day = 0.5 gallons
[tex]\frac{0.5\ gallons}{1\ day}[/tex]
Find the number of cups of water she drinks in a week
1 week = 7 days
[tex]\frac{7\ days}{1\ week}[/tex]
Thus the expression to find the number of cups of water she drinks in a week is:
[tex]\frac{15\ cups}{1\ gallon} \times \frac{0.5\ gallons}{1\ day} \times \frac{7\ days}{1\ week}[/tex]
78 is the geometric mean of 30 and what number
Answers
Answer:
202.8
Step-by-step explanation:
The geometric mean of 2 numbers a and b is
[tex]\sqrt{ab}[/tex]
Here a = 30 and mean = 78, thus
[tex]\sqrt{30b}[/tex] = 78
To clear the radical square both sides
([tex]\sqrt{30b}[/tex] )² = 78², that is
30b = 6084 ( divide both sides by 30 )
b = [tex]\frac{6084}{30}[/tex] = 202.8
Write the quadratic equation whose roots are −2 and 4, and whose leading coefficient is 5.
Answers
Answer:
10x2 + 30x - 40
Step-by-step explanation:
If the two roots are -2 and 4 then the factors shall be;
5(x+2)(x-4)
5 is the leading coefficient.
FOIL:
f(x) = 5(x2+4x+2x-8) =
f(x) = 5(x2+6x-8) =
f(x) = 10x2 + 30x - 40
Answer:5x^2-10x-40=0
Step-by-step explanation:
x=-2 or x=4
x+2=0 or x-4=0
(x+2)(x-4)=0
x^2-4x+2x-8=0
x^2-2x-8=0
Multiply the equation by 5
5x^2-10x-40=0
what is 0.1 X 9670 equal to?
Answers
Answer:
967
Step-by-step explanation:
0.1 x 9670 = 967