Answers
Answer:
141
Step-by-step explanation:
CD = | 4-(-2)| = 6
DB = |3-(-7)| = 10
area of a right triangle
A = (leg 1 x leg2)/2 = (6 x 10)/2 = 30
EB = |3-(-3)| = 6
EF = |-8-(-2)| = 6
area of a square = side^2
A = 6^2 = 36
segment G(and a point with same x coordinate of H)
|8-3| = 5
segment H(and the same point)
|-10-(-8)| = 2
A = (5x2)/2 = 5
segment I(and the same point)
|-8-6| = 14
Area of a rectangle
A = base x width
A = (5 x 14) = 70
total area = 70 + 5 + 36 + 30 = 141
Related Questions
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried an 8.5 percent interest rate?
Answers
Answer:
the answer 57.8
85 x 8 x 8.5% = 57.8
Step-by-step explanation:
brainliest pls
HELP ASAP WILL GIVE MOST BRANILIST
Answers
1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer
Answers
Answer:
8x + 28
Step-by-step explanation:
The X and Y coordinates (in feet) for station Shore are 2058.97 and 6980.06, respectively, and those for station Rock are 1408.03 and 6980.06, respectively. What are the azimuth, bearing, and length of the line connecting station Shore to station Rock
Answers
Answer:
Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.
Given :
The shore station point [tex](X_1,Y_1)[/tex] in feet,
[tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]
The Rock station point [tex](X_2,Y_2)[/tex] in feet
[tex](X_2,Y_2)=(1408.03,6980.06)[/tex]
From the figure
[tex]x=2058.97-1408.03=650.94[/tex] feet
[tex]y=6980.06-6980.06=0\\[/tex] feet
Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]
[tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]
[tex]\Rightarrow L=650.94[/tex] feet
[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]
[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]
Azimuth of line[tex]=270^{\circ}+\theta[/tex]
[tex]=270^{\circ}+0[/tex]
[tex]=270^{\circ}[/tex]
[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]
[tex]=360^{\circ}-270^{\circ}[/tex]
[tex]=90^{\circ}[/tex]
The local weather forecast has been accurate for 24 of the past 30 days. Based on this fact what is the relative frequency probability that the forecast for tomorrow will be accurate
Answers
Step-by-step explanation:
the empirical probability is 24/30, or 4/5. this is also the desired probability.
Can anyone help me out
Answers
Answer:
14.49 people per square mile
Step-by-step explanation:
Divide to find the answer:
836,109/57,714 = 14.49
A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?
Answers
Answer:
The rabbit will run 264feet to get to the tortoise
Step-by-step explanation:
To solve this problem perfectly, we need to take note of the units and conversions involved.
The speed of the tortoise is 0.1 mi/hr
The speed of the hare is 5mi/hr
If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.
The tortoise runs 0.1 miles in 1 hour
The tortoise will run x miles in 0.5 hours.
x = 0.5 X 0.1 = 0.05 miles.
Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.
The hare will have to run for 0.05 miles before he can catch up to the tortoise.
It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.
The answer in feet is 264 feet.
Therefore, the rabbit will run 264feet to get to the tortoise
Sequences:
Determine the first five terms of the following sequences:
A. [tex]a_{n} = \frac{2n+3}{4}[/tex]
B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]
Answers
Answer:
A.
aₙ = (2n + 3)/4The first 5 terms:
a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4B.
aₙ = (n - 3)/(n - 2)The first 5 terms:
a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3A system has two identical components, and requires both the components for system success. If one component fails, the other cannot fail while the failed component is being repaired. The component failure rates and repair rates are 0.1 failures/year and 365 repairs/year respectively. If a similar component is carried as a spare with an average installation time of 1 hour, evaluate the probability of failure, frequency of failure and the average down time of the system.
Answers
Answer:
Step-by-step explanation:
We are given that:
The failure rate = 0.1 failure/year
i.e. = [tex]\dfrac{0.1}{365\times 24}= 0.00001 \ failure /hour[/tex]
The repair rate = 365 repair/year, if we convert this to repair/hour; we get:
[tex]= \dfrac{365}{365\times 24} \\ \\ = 0.04 \ repair/ hour[/tex]
Time (t) = 1 hour
P(failure) = 1 - R ; if (t=1)
where:
[tex]Reliability (R ) = e^{-\lambda t}(1+ \lambda t) \\ \\ = e^{-0.00001*1}(1+0.00001 *1) \\ \\ \simeq 0.9999[/tex]
P (failure) = 1 - R
= 1 - 0.9999
= 0.0001
≅ 0
The frequency meantime of failure = [tex]\dfrac{1}{\lambda}[/tex]
[tex]\dfrac{1}{0.00001}[/tex]
= 100000
The average downtime of repair for the system = [tex]\dfrac{1}{\mu}[/tex]
[tex]=\dfrac{1}{0.04}[/tex]
= 25
Find the missing side. Round to the nearest tenth
Answers
Answer:
We know Cot51 = x/17
=> 0.809784 × 17 = x
=> 13.753 = ×
.°. The value of x = 13.753 ~~ 14.000 (Ans)
(x-4)2 + 3x at the value x = 7
Answers
Answer:
30
Step-by-step explanation:
x = 7
( x - 4 )^2 + 3x
= ( 7 - 4 )^2 + 3 ( 7 )
= 3^2 + 21
= 9 + 21
= 30
Answer:
The answer is 27
Step-by-step explanation:
(X-4)2 + 3x
x is equal to 7
first substitute the values.
(7-4)2 + 3 x 7
solve-
(3)2 + 21
=27
write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7
x=
Answers
Answer:
hope this helps
Step-by-step explanation:
equation for a parabola is:
What is parabola?The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.
Given: focus= (3,-5), directrix at x =-7.
To find equation of parabola we will use distance formula,
√(x+7)²=√(x+3)² + (y+5)²
(x+7)²=(x+3)² + (y+5)²
x²+14x+49= x²+9+6x + (y+5)²
8x + 40 = (y+5)²
x= (y+5)²/8 -5
Hence, the equation of parabola is x= (y+5)²/8 -5
Learn more about equation of parabola here:
https://brainly.com/question/4025891
#SPJ2
What is the measure of angle L
Answers
Answer:
90-15 and you have your answer
Answer:
75
Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.
1) A farmer has sheep and cattle in the ratio 8:3.
a) How many sheep has the farmer if he has 180 cattle?
b) Find the ratio of the number of sheep to the total number of animals.
c) Find the ratio of the total number of animals to the number of cattle.
2)My fortune of $ 810 000 is to be divided in the ratio 4:3:2. How much does each person receive?
Good
Answers
Answer:
Q 1)
a) No of sheep = 480
b) 8 : 11
c) 11 : 3
Q 2)
Each person will receive: $360,000, $270,000 and $180,000
Step-by-step explanation:
Ratio of sheep to cattle = 8 : 3
Let the number of sheep be 8x
And number of cattle be 3x
a)
No of cattle = 180 (Given)
Therefore,
3x = 180
x = 180/3
x = 60
Therefore, 8x = 8*60 = 480
No of sheep = 480
b)
Total animals = 180 + 480 = 660
Ratio of sheep to the total number of animals
= 480 : 660
= 8 : 11
c)
Ratio of total animals to the number of cattle
= 660 : 180
= 11 : 3
Q 2) Let each person will receive 4x, 3x and 2x dollars.
Therefore,
4x + 3x + 2x = 810,000
9x = 810000
x = 810000/9
x = 90,000
Therefore,
4x = 4*90,000 = $360,000
3x = 3*90,000 = $270,000
2x = 2*90,000 = $180,000
So, each person will receive $360,000, $270,000 and $180,000.
PLEASE HELPP!!
An initial amount of money is placed in an account at an interest rate of 5% per year, compounded continuously. After five years, there is $3287.11 in the
account. Find the initial amount placed in the account. Round your answer to the nearest cent.
Answers
9514 1404 393
Answer:
$2560.00
Step-by-step explanation:
The account balance is given by the formula ...
A = Pe^(rt) . . . . principal P invested at rate r for t years
Filling in your numbers, we have ...
$3287.11 = Pe^(0.05·5)
P = $3287.11e^(-0.25) = $2560.00
The initial amount was $2560.00.
What do you think the answer is
Answers
A store wants to have an end of year sale so they discount all prices by 35%. If you buy an item that originally sells for $80.00, how much are you paying for it after the discount?
Answers
Answer:
$52.00
Step-by-step explanation:
35% of $80
(35÷100) ×80
0.35× 80
$28.00
$80 -$28
$52.00
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answers
After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service
department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage.
They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answers
Answer:
A, yes the conditions for inference are met
Step-by-step explanation:
I got the question right so it's right
Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answers
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the picture)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
plzzzzzzzz help for a brainly
Answers
Answer:
246
Step-by-step explanation:
Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.
M(–5, –6) is rotated 90° clockwise.
Step 1. Use the rule (x, y)g(y, –x).
Step 2. Switch x and y coordinates:
(–6, –5)
Step 3. Multiply the new x-coordinate by –1:
((–1)–6, –5)
Step 4. Simplify:
(6, –5)
Mira made an error in Step
Answers
Answer:
3
Step-by-step explanation:
Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.
It should give (-6, (-1)-5).
Step-by-step explanation:
PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.
Answers
Answer:
Graph A. not a function
Graph B. is a function
Mapping A. is a function
Mapping B. not a function
Table A. not a function
Table B. is a function
Answer:
a graph. not a function
b graph.function
a table. not a function
b table. function
maaping a. function
mapping b. not a function
Step-by-step explanatio n:
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the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Please help
Answers
Answer:
4/3
Step-by-step explanation:
Can someone please help me I will mark u brilliant for both
Answers
For the second question, x = 4
Answer:
1. 1/2
2. 4
Step-by-step explanation:
2. 14x = 56
56 / 14
x = 4
The bottom of a ladder is placed 4 feet from the side of a building. The top of the ladder must be 13 feet off the ground.
What is the shortest ladder that will do the job? SHOW your work.
10 foot ladder
12 foot ladder
14 foot ladder
Answers
Answer:14
Step-by-step explanation:
WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS
Answers
Answer:
D
Step-by-step explanation:
Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17
Please give brainliest thank you
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
The quotient when 17 less than p is divided by 8.
Well, let's first take 17 less than p. That'll be :-
[tex] \sf \: p - 17[/tex]
Note :- 'p' comes first as the question has the words - less than p.
Now, we have the remaining -> 'is divided by 8'.
The equation will become :-
[tex] \sf \:( p - 17) \div 8[/tex]
Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.
So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.
________
Hope it helps.
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Write in the equation for the slope intercept form and please no links or I will report you
Answers
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
Answers
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
mrk me brainliest plz
Answer:
2 .The slope of Function A is less than the slope of Function B
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
More detailed working
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Step-by-step explanation:
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a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths
Answers
Answer:
3/12
Step-by-step explanation:
1/4*3/3=3/12