Answer:
225,623 miles (363,104 kilometers).
Step-by-step explanation:
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
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Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A
Write and evaluate an expression to show Veronica’s age.
Enter the correct answers in the boxes.
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years
HELP FAST FAST FAST PLS ILL LOVE YOU FOREVER <3
Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7
Answer:
5
Step-by-step explanation:
2x5x7=70
SOMEONE HELP I NEED TO PASS
Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
Together, Rahman and Elissa have 120 DVDs. Rahman's collection has 5 times as many DVDs as Elissa's collection. Which
equation can be used to determine the number of DVDs in Elissa's collection?
Answer:
B
Step-by-step explanation:
rahman's collection represents the 5x and Elissa's represents the singluar x. Rahman has five times as many as Elissa, 5x is five timas as big as x. this means x=20. Rahman has 5x20=100 DVDs and Elissa has just 20.
John sells appliances for a living. He sold a
dishwasher for $475. If he makes 20%
commission, how much money will he make?
Answer:
95$!
Step-by-step explanation:
475 x 20% = 95
Find the degree of the monomial.
8b^7c^2
The degree of the monomial is?
Answer:
49c2
Step-by-step explanation:
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
PLEASE HELP IM DYING RN.
WHAT IS X? 6(x+2)=2(x-3)
Answer:
-9/2
Step-by-step explanation:
6(x+2)=2(x-3)
6x+12=2x-6
6x-2x+12=-6
4x+12=-6
4x=-6-12
4x=-18
x=-18/4
simplify
x=-9/2
Solve this equation 1/4 x 10?
Answer: 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Have a great day :)
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
105
Step-by-step explanation:
A straight line is 180 degrees so 180-75=105
Answer:
x= 105 degrees
Step-by-step explanation:
We know that the sum of x and 75 degrees is equal to 180 degrees.
So that means that x= 180-75 or x=105 degrees
0.7c-1.5c c=13 d=3 ...............................
Answer:
4.6
Step-by-step explanation:
If you make x dollars per hour and you work 8 hours, how much money will you make?
answer, show work, due today
Answer:
60%
Step-by-step explanation:
13.5/22.5
What is the value of
3x² + 2y3
when x = -4 and y = -2
Answer:
80
Step-by-step explanation:
[tex]3x^2 + 2y^3[/tex] = [tex](3 * (-4))^2 + (2 * (-2))^3[/tex] = [tex](-12)^2 + (-4)^3[/tex] = [tex]144 + (-64) = 80[/tex]
7. Use the Unit Circle to find the exact value of the trig function,
sin(180°)
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answer:
get them googel
Step-by-step explanation:
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
What kind of growth model (pattern) is shown in the table?
X
1
2
3
4.
5
у
5
25
125
625
3,125
square root
linear
expggential
quadratic
Answer:
Step-by-step explanation:
exponential
PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS
Answer:
D
Step-by-step explanation:
A, B, and C are not linear functions
D would be y=x/2
If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)
It's more obvious if you notice that y is half of x.
anyone?............
[tex] \frac{132 }{2?} = 66[/tex]
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50
Please answer ASAP!!!!!!!
Answer:
B is the correct answer
Step-by-step explanation:
just did this problem
A jumping spider hunts for its
food. When it gets close to its
prey, it jumps into the air and
pounces on it.
A jumping spider can jump
40 times its body length. One
jumping spider is 2 centimeters
long. How far can it jump?
Solve for X
2x - 8 = 30
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years
Answer:
212272.71
Step-by-step explanation:
we have the following equation (for interesting that compound yearly)
PV(1+i)^n
200000(1+.015)^4
212272.71
The total amount of interest Katy will get at the end of 4 years is £12,272.71
Compound interestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interestCompound interest refers to the phenomenon whereby the interest associated with a bank account, loan, or investment increases exponentially—rather than linearly—over time.Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periodsHow to solve this problem?The steps are as follow:
Given:p = £200 000
r = 1.5%
n = 4 years
Formula to find Amount (A) after 4 years will as follow:A = p(1+r/100)ⁿ
A = 200000(1+1.5/100)⁴
A = 212,272.71 £
The compound interest is given by:C.I. = A - p
C.I. = 212,272.71 - 200,000
C.I. = £12,272.71
So the total amount of interest Katy will get at the end of 4 years is £12,272.71
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A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.
1.
a.
- 12.5-(-12)
Noah said the value of this expression is -0.5. Is he correct? Explain or show your reasoning to prove
your answer.
Answer:
Yes he is correct!!!!!!