Answers
Answer:
Perimeter: 53cm Area: 90cm²
Step-by-step explanation:
For the perimeter, we just add all of the sides of triangle ABC. We have two of them, but we need the length of BC. Using Pythagorean Therom on triangle BCD, we get this length to be 13. So, 13+25+15= 53 cm.
For the area, we can take the area of the big triangle ADB and subtract the area of triagle BCD so that we are left with the area for triangle ABC. Using Area= .5 x base x height, we get that the area of the large triangle is 120cm² and the area of the small triangle is 30 cm², leaving the area of ABC to be 90 cm².
(Note: the formula for area of the triangle only works on triangles with a right angle or triangles were the height and base are perpendicula, so simply doing .5 x 15 x 12 will not work. However, .5 x 15 x 12 does work because it is perpendicular.)
Related Questions
A city planner is considering adding a pedestrian crossing signal to a particular intersection. They know that on average 11.5 cars go through the intersection each minute. It takes an average person 10 seconds to walk across the intersection. Name the distribution appropriate to model the time to the next car crossing this intersection (in minutes). Use the proper notation, and include the value of the distribution parameter (s).
Answers
Answer:
The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5
and the PMF of X is;
P (X = x) = e^-λ ( λˣ / x! ); where x = 0, 1, 2, 3, , , , , ,
Step-by-step explanation:
Given that;
on average eleven and a half cars go through the intersection each minute and It takes an average person ten seconds to walk across the intersection.
Therefore
The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5
and the PMF of X is;
P ( X = x ) = e^-λ ( λˣ / x! ) ;
where x = 0, 1, 2, 3, , , , , ,
Identify the following number as rational or irrational 3.2573820193748...
Rational
Irrational
Answers
Answer: Irrational
Step-by-step explanation:
Type the correct answer in each box
Answers
Answer:
(-1,0) these two points have the same x-value
(x,y)
Step-by-step explanation:
What is 35% of 200?
i will gove you brainless
Answers
Answer:
the answer is 70
Step-by-step explanation:
Please help me I mark u brainiest like it and rate it five stars please help
Answers
Answer:
The 30, goes all the way down, in the empty spot by the 2, put in a 5, then below it a 10
Step-by-step explanation:
Answer:
30/ [5x2]
30/ 10=3
Step-by-step explanation:
Considering the 5th slab of tax structure of Pakistan for 2020-2021, Where the taxable salary income exceeds Rs. 2,500,000 but does not exceed Rs. 3,500,000 the rate of income tax is Rs. 195,000 + 17.5% of the amount exceeding Rs. 2,500,000. If we create a mathematical Model of the tax structure, the function for this particular slab will be:
0.175x-195000
0.175x+195000
0.175x-445000
0.175x-242500
Answers
Answer:
it is the answer A
Step-by-step explanation:
A 10 pound bag of grapes costs $14.00. How many pounds of grapes can you get for $7.00?
Answers
PLZ Help!!! Best answer gets Brainliest!!!
Answers
Answer:
Yes
Step-by-step explanation:
There is a steady increase (non-changing) between both the x and y columns, so I know this is a proportional relationship.I hope this helps!
Fun fact
I need help :(
Answers
Answer:
9
5
Step-by-step explanation:
Wyatt's class:
Each group of 3 students eats 1 1/2 pizzas.
There are 18 students.
18/3 = 6
There are 6 groups of 3 students.
Since each group of 3 students eats 1 1/2 pizzas, 6 groups eat
6 * 1 1/2 = 6 * 3/2 = 18/2 = 9
Answer: 9 pizzas
Jennifer's class:
There are 15 students. Each student eats 1/3 of a pizza.
15 * 1/3 = 15/3 = 5
Answer: 5 pizzas
Answer:
9
5
A Hulu subscription cost $55 a month. If 5 people wanted to split this cost each month how much would eat person pay ?
Answers
Answer:
each person would pay $11
Step-by-step explanation:
u have to do 55 divided by 5 and that would give you the $11
Answer: 11
Step-by-step explanation: 55/5=11
x²-x-6
What is hcf of the polynomial
Answers
Answer:
the highest common factor of the polynomial is (x + 2) (x - 3)
Step-by-step explanation:
The computation of the highest common factor of the polynomial is as follows:
According to the question, the following equation is given
'[tex]x^2 - x - 6[/tex]
Now do the factorization
[tex]x^2 -3x + 2x - 6[/tex]
x(x - 3) +2 (x - 3)
(x + 2) (x - 3)
hence, the highest common factor of the polynomial is (x + 2) (x - 3)
The same is to be considered
a line passeses through the ponts (2, a) and (4a,5) and has a slope of 1/2 find the value of a
Answers
Answer:
a=2
Step-by-step explanation:
Slope is found by (y2-y1)/(x2-x1)
Using the points, that is (5-a)/(4a-2) = 1/2
multiply both sides by the denominator 4a-2
5-a = (1/2)(4a-2)
5-a=2a-1
put like terms on opposite sides by adding a to both sides so a terms on the right, adding 1 on both sides so numbers are on the left
6=3a
divide both sides by 3
a=2
please give thanks :)
What is the value of x in the equation of y=6x+2.3
Answers
Answer:
The answer is x=y/6 - 0.383 (3 being repeated) , hope this helps you.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
I think it is x=y/6 - 0.383 (3 being repeated)
Step-by-step explanation:
Hope this helped have an amazing day!
Helppppppppp please?
Answers
Answer:
c. 2640
Step-by-step explanation:
20 x 12 x 11 = 2640
Answer: C. 2,640
Step-by-step explanation:
You employ 21 people making an average of $49,000 per year. You want to give every employee a 5% increase for next year. What will be the total increase in your company's annual payroll?
a) $48.000
b) $50,085
c) $51,450
d) $54,250
Answers
Answer:
c) $51,450
Step-by-step explanation:
Current payroll:
21 * 49000 = $1,029,000
Payroll after 5% increase:
1029000 * 1.05 = $1,080,450
Difference between after increase and current payroll:
1080450 - 1029000 = $51,450
Please help do right don't do just for points please
Answers
Answer:
-100
75
Step-by-step explanation:
Select the correct statement about the function represented by the table.
Answers
Answer:
the answer is d because it
2b+ f + d + 3b + 2f + 2d + 8
Answers
Answer:
Did you want me to simplify the expression???
Step-by-step explanation:
3f+5b+3d+8
Using two normal number cubes, what is the probability of rolling numbers
that add up to 4?
A. 1/18
B. 1/36
C. 1/12
D. 1/9
Answers
Answer:
1/12
Step-by-step explanation:
When we roll 2 dice, there are 36 possible rolls
How can we get 4
1and 3, 3 and 1, 2 and2 = 3 different rolls
P( 4) = number of rolls with sum of 4/ total rolls
= 3/36 = 1/12
The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages of Jack and his father. Question 5 options: 10, 42 9, 43 9, 61 9, 45
Answers
Answer:
43 9
Step-by-step explanation:
sum of their ages is 52
let Jack's age be x = 5×x= 5x
his father's age is 2<5x
Answer this question please thanks
Answers
Answer:
The amount of intrest gained was B. $7.50
Step-by-step explanation:
Mark invested $125.
He gaines 3% per year and he did it for 2 years.
.03 x 2 =.06
125 x .06 = 7.50
B. $7.50
Hope this helps!
:)
Use the linear equations to answer the questi
y= -3
y= x+2
Which statement about the lines is true?
Answers
Answer: Though no choices of statements are shown, you can predict that x+2=-3, since both numbers are equal to y. (This isn't really an answer but I hope it'll at least help you in some way!)
-By subtracting 2 on both sides, you end up with x=-5. So in both equations, y is -3 and x is -5.
-The point where they intersect is (5,-3)
(1 point) A recent report for a regional airline reported that the mean number of hours of flying time for its pilots is 56 hours per month. This mean was based on actual flying times for a sample of 51 pilots and the sample standard deviation was 9.5 hours.2. Calculate a 90% confidence interval estimate of the population mean flying time for the pilots. Round your result to 4 decimal places.( , )3.Using the information given, what is the smallest sample size necessary to estimate the mean flying time with a margin of error of 1.25 hour and 90% confidence
Answers
Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Simplify:
9x/2 - 4x - 3 = ?
Answers
Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].
Step-by-step explanation:
You earn 3% each year on your initial investment amount of $2000. How much interest do you earn after 2 years?
Answers
Answer: You earn 6% interest on that the next year.
Evaluate the expression 2x + xy if x = 2 and y = 14?
Answers
4 + 28=
32
Helppppppppppppppppppppppppp please :)
Answers
Answer:
use your scientific calculator and click shift + mode or just mode , after that select the table option and enter the equation that u see and then set the step to 1 (start = -2 , end = 3) and step =1
A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The base of the lot is 72.2 feet and the width is 50 feet. Complete the following statements about the park they can build on the lot.What size will the park be?
If the neighborhood wants to know the amount of fencing needed to go around the park, it will need to find the _______.
What is the exact amount of fencing they will need?
(will mark brainliest to best answer).
Answers
area
i took the test and got a 100
Answer:
area, 244.4
Step-by-step explanation:
sorry it late
sana is senior to Mona by 18 years after 6 years.Sana will be twice as old as Mona. find Mona,s percentage
Answers
Present age of Sana = s
Present age of Mona = m
Sana is senior to Mona by 18 years
s=m+18............(1)
After 6 years
Sana will be = s+6
Mona will be = m+6
Then
Sana will be twice as old as Mona
(s+6)=2(m+6)
s+6=2m+12
s=2m+12-6
s=2m+6.............(2)
Put the value of s from (2) to (1)
2m+6=m+18
2m-m=18-6
m=12
Put the value of m in (1)
s=m+18
s=12+18
s=30
Present age of Sana = s = 30 years old
Present age of Mona = m = 12 years old
If the trapezoid is reflected over JH, a hexagon will be
created
Answers
Answer: 8 units
Step-by-step explanation: