Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Determining the length of BC
From the diagram, it is clear that
The point B is located at (-8, 10) and point C is located at (8, 10)Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16
Thus, the length of BC = 16 units
Determining the length of CD
Given
C (8, 10) D (2, -2)The distance between C(8, 10) and D(2, -2)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}[/tex]
[tex]=\sqrt{6^2+12^2}[/tex]
[tex]=\sqrt{36+144}[/tex]
[tex]=\sqrt{180}[/tex]
[tex]=\sqrt{36\times 5}[/tex]
[tex]=6\sqrt{5}[/tex]
Thus, the length of CD [tex]=6\sqrt{5}[/tex] units
Determining the length of ED
Given
E (-8, -4) D (2, -2)The distance between E(-8, -4) and D(2, -2)
[tex]ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{10^2+2^2}[/tex]
[tex]=\sqrt{100+4}[/tex]
[tex]=\sqrt{104}[/tex]
[tex]=\sqrt{26\times \:4}[/tex]
[tex]=2\sqrt{26}[/tex]
Thus, the length of ED [tex]=2\sqrt{26}[/tex] units
Determining the length of EB
From the diagram, it is clear that
The point E is located at (-8, -4) and the point B is located at (-8, 10)Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14
Thus, the length of EB = 14 units
Related Questions
Write a function formula for f using the function g.
f(x)=
Answers
The answer is f(x) = g(x+2) + 1.
Ahmad had a piece of rope that was 7.14 meters long.
He cut off 0.09 meter to practice making knots. What
was the length of the rope after the cut?
Answers
PLEASE HELP EASY MATH PLEASE ASAP
What is the Ax + By =C form (where A > 0, and A, B, and C are integers with
factors) of the equation of the line that passes through (-4,9) with a slope of -3/2
Answers
Answer:
Step-by-step explanation:
I don't really know what your question is asking for but I can tell you there's a quadratic formula that solves for x-ints. There's a quadratic equation which is Ax + bx + c = 0.
The sum of three consecutive even numbers is 228. What is the 3rd number?
Answers
Answer:
78
Step-by-step explanation:
x+(x+2)+(x+4)=228
x+x+2+x+4=228
3x+6=228
Subtract 6 from both sides
3x=228-6
3x=222
Divide both sides by 3
x=74.The first number is 74
The second number (x+2)=74+2=76
The third number (x+4)=74+4=78
A conical water tank with vertex down has a radius of 10 feet at the top and is 24 feet high. If water flows out of the tank at a rate of 20 ft3/min, how fast is the depth of the water DECREASING when the water is 6 feet deep?
Answers
Answer:
Depth of water is increasing at 0.143 ft/min.
Step-by-step explanation:
May you please answer this question i tried to answer but failed miserably
Answers
Answer:
I think it is postive
Latrell has 14¢ in nickels and pennies. He has 6 coins altogether. How many coins of each kind does he have?
Answers
2 nickels = 10
4 pennies = 4
10 + 4 = 14
Theo borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. What percent of interest did Theo pay?
i will give you 10 coins
Answers
9514 1404 393
Answer:
4.75%
Step-by-step explanation:
When simple interest is charged, the payback amount is ...
A = P(1 +rt) . . . . for annual rate r and a term of t years
Using the given values, we can solve for r.
10280 = 8000(1 +6r)
1.285 = 1 +6r . . . . . . . . divide by 8000
0.285 = 6r . . . . . . . . . . subtract 1
0.285/6 = r = 0.0475 = 4.75% . . . . . . divide by 6; express as %
Theo paid interest at the rate of 4.75%.
-will give Brainlest-
Express as a logarithm the solution to
4(10)^t/5=25
A)
t = 10
B) t = 2/5
C) t=5 log 25/4
D) t= 1/5 log 25/4
Answers
(t = 5 log 25/4)
Convert the following equation into
standard form.
y = -5x + 2
5x + [?]y = [ ]
Answers
Answer:
standard form is Ax + by + c = 0
Step-by-step explanation:
add 5x to each side to get 5x + y - 2 = 0
Solve for the value of f: ½(6 + 4) + 5f = 10
Answers
Answer:
Start by combing any like variable and distributing the values.5+5f=10 5f=5f=117 divided by 1/3 pls help me
Answers
Answer:
51
Step-by-step explanation:
just the denominator with the numerator
Help me out here pleaseeeeeeee
Answers
Answer:
if gray is what's left then it is C if white is what's left it is A
Step-by-step explanation:
Step-by-step explanation:
A because it shows the 2/3 of the pie colored meaning eaten
Combine like terms 10p + 9 + 17e - 5e + 1
Answers
Answer:
10p + 12e + 10
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
10p + 9 + 17e - 5e + 1
Step 2: Simplify
Combine like terms (e): 10p + 9 + 12e + 1Combine like terms (Z): 10p + 12e + 10Answer:
10p + 10 + 12e would be your answer
how do find M and N
Answers
Answer:
option D
Step-by-step explanation:
In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°
Hypotenuse = m ; Perpendicular = n ; Base = 4
Side opposite to 60° = Base
Side adjacent to 60° = Perpendicular
Side opposite to 30° = Perpendicular
Side adjacent to 30° = Base
So,
[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]
[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]
[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]
Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]
Also,
[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]
[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]
[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]
Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]
What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?
A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Answers
Answer:
[tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
The problem says Two-thirds divided by StartFraction 4 Over 5 EndFraction.
Two thirds means = 2/3
It means,
[tex]x=\dfrac{2}{3}\ \text{divided by}\ \dfrac{4}{5}[/tex]
or
[tex]x=\dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3}\times \dfrac{5}{4}\\\\=\dfrac{5}{6}[/tex]
Hence, the required answer is [tex]\dfrac{5}{6}[/tex].
Please help me this is due in 10 minutes.
Answers
Answer:
1.07
Step-by-step explanation:
3.21/3=1.07
5.35/5=1.07
8.56/8=1.07
I need to understand question 14 and 15 and the last one cut off for tens in one
Answers
Question # 14
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am less than 20.
So the number 'x' must be less than 20 i.e. x < 20I am more than 13.
So the number 'x' must be greater than 13 i.e. x > 13I am less than 17.
So the number 'x' must be less than 17 i.e. x < 17Finally:
I am 4 more than 12
i.e. 12+4 = 16
Thus, the number is x = 16
Question # 15
Part a)
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am more than 10.
x > 10I am less than 20.
x < 20I am more than 12.
x > 12I am less than 15.
x < 15As the numbers left after all the conditions are fulfilled are 13 and 14.
But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.So, from the remaining number 13 and 14;
14 > 13
Thus, the number x = 14
Part b)
Drawing the number 14 in the place value:
Chart
Tens Ones
1 4
Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They decide to (I leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute.
$19.00
$28.50
$1.90
$2.85
Answers
Answer:
$2.85 per person
Step-by-step explanation:
$191.10 * 0.15 = $28.665 tip
total tip divide by 10 people
$28.665/10 = $2.85
Each person has to contribute $2.85 amount for the tip.
Given,
Total no. of person go out for dinner = carrie + her nine friends
= 1+9 = 10
Amount of the bill is = $191.10
Amount of tip is = 15% of the bill
= [tex]\frac{15 }{100}[/tex] × $ 191.10
= 28.665
Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]
=$ 2.85
Each person contribute $2.85 amount for the tip.
For more information about ratio and proportion click the link given below.
https://brainly.com/question/25561616?referrer=searchResults
Suppose Carson worked as a babysitter for85 hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?
Answers
Answer:
Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!
Step-by-step explanation:
What I don’t get this someone help
Answers
Answer:
1 3/4 gallon or 1.75
Step-by-step explanation:
1 (1/4) = 5/7
5/4 = 5/7
5/4 = 1.25
1.25/x = 5/7
7(1.25) = 5x
5x = 8.75
x = 1 3/4
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -2.674°C.
P ( Z > −2.674) = ???
Answers
Answer:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
Step-by-step explanation:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
I need a story problem to match the equation 36÷5=7 Remainder 1
Answers
Answer: sarah has 36 cookies but she has 5 friends. she doesnt know how much cookies go to her friends. Write a equation to solve the problem
Step-by-step explanation:
What is a equivalent expression for 10(y² + 2.45)
Answers
Answer:
10y²+24.5
Step-by-step explanation:
distribute.
10y²+24.5
Hope this helps plz hit the crown :D
The equivalent expression for the given expression is 10y²+24.5.
The given expression is 10(y² + 2.45).
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The equivalent expression is
10(y² + 2.45)
=10y²+24.5
Therefore, the equivalent expression for the given expression is 10y²+24.5.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ2
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Answers
Answer:
Rita had a 28-mile head start.
Step-by-step explanation:
Answer:
the answer is A my lil' dudes
Step-by-step explanation:
List the first 5 multiples of 15. *
0, 1, 3, 5, 15
5, 10, 15, 20, 25
10, 15, 30, 45, 60
15, 30, 45, 60, 75
Answers
Answer:
15, 30, 45, 60, and 75
Step-by-step explanation:
15x1
15x2
15x3
15x4
15x5
I hope this helps you
Thanks in advance.............
Answers
22 POINTS ( LOTS OF POINTS) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?
Answers
I think 88 problems were on the test.
divide 81 by 9 and you get 9 points for every 10%
since we need to find the last 10%, add 9 to 81 and you get that 90 problems were on the test :) hope this helps
2x + y + z = 9
-x-y +z = 1
3x - y +z=9
Answers
Answer:
603 hope this helps
Answer:
x = 2
y = 1
z = 4
Step-by-step explanation:
Step 1:
2x + y + z = 9
3x - y = z = 9
5x + 2z = 18 <-- add x and y
Step 2:
-x -y + z = 1
2x + y + z = 9
x + 2z = 10
Step 3:
-(x + 2z = 10) = -x - 2z = -10
5x + 2z = 18
-x - 2z = -10
4x = 8
x = 2
Step 4: solve for z
-x - 2z = -10 <-- Plug x
-(2) - 2z = -10
-2z = -8
z = 4
Step 5: solve for y
2x + y + z = 9
2(2) + y + 4 = 9
8 + y = 9
y = 1
What is the value of the expression?
-16+ 12
-28
O _4
4
28
Answers
Answer:
-4
Step-by-step explanation:
if you switch it you get 12-16 and you have to get a negative so 16-12 is 4 so switch it to a nrgative to get -4
