Answers
Given:
The figure of a quadrilateral ABCD.
To find:
The perimeter of the quadrilateral ABCD.
Solution:
In an isosceles triangle, the two sides and base angles are congruent.
In triangle ABD,
[tex]\angle DAB\cong \angle ABD[/tex] [Given]
[tex]\Delta ABD[/tex] is an isosceles triangle [Base angle property]
[tex]AD=BD[/tex] [By definition of isosceles triangles]
[tex]8=BD[/tex] ...(i)
In triangle BCD,
[tex]\angle BCD\cong \angle CDB\cong \angle CBD[/tex] [Given]
All interior angles of the triangle BCD are congruent, so the triangle BCD is an equilateral triangle and all sides of the triangle area equal.
[tex]BC=CD=BD[/tex]
[tex]BC=CD=8[/tex] [Using (i)] ...(ii)
Now, the perimeter of quadrilateral ABCD is:
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=11+8+8+8[/tex]
[tex]Perimeter=35[/tex]
Therefore, the perimeter of the quadrilateral ABCD is 35 units.
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ɴᴏɴsᴇɴsᴇ = ʀᴇᴘᴏʀᴛ
Answers
216 in²
Step-by-step explanation:
The above diagram is a rectangular prism, a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that every two opposite side faces are identical.
Hence we can calculate the surface area of the diagram by multiplying the surface areas of the three faces by 2, and adding them together.
= 2(5 x 4.5) + 2(5 x 9) + 2(4.5 x 9)
= 45 + 90 + 81
= 216 in²
What is the approximate surface area of the figure?
A. 101.3 in²
B. 108 in²
C. 202.5 in²
D. 216 in²
Solution:-Since the base of the prism is a rectangle, the perimeter P of the base is 2(9+4.5) or 27 inches. The area of the base is 9•4.5 or 40.5 square inches. The height is 5 cinches.
[tex]\sf{S=Ph+2B}[/tex]
[tex]\sf{ \: \: \: \: =(27•5)+2(4.5)}[/tex]
[tex]\sf{ \: \: \: \: =135+81}[/tex]
[tex]\sf{ \: \: \: \: =\:}{\color{magenta}{216}}[/tex]
Answers:-The surface area of the figure is 216 square inches. So, the correct option is D.
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use the diagram below to find all the missing angles
Answers
Answer: M<1=135 M<2=45 M<3=135 M<4=45
Step-by-step explanation:
Find the particular solution of the differential equation passing through the given point.
(1+x2)dy=(x+1)ydx,(2,2)
Answers
Try this option, the answer is marked with red colour.
PLZ HELP ASAP!!!!!!!!!!!!!!
Answers
Answer:
AB = 5√55
Step-by-step explanation:
Part 1 = AD = 25
Hypotenuse = AC = 55
Leg 1 = AB = x
To find AB, apply the leg rule which is:
Hypotenuse/leg 1 = leg 1/part 1
Plug in the values
55/x = x/25
Cross multiply
x*x = 55*25
x² = 1,375
x = √1,375
x = 5√55
AB = 5√55
Give an example of a composite number written as a product of primes.
Choose the correct answer below.
A. 60 = 2 x 2 x 15 or 60 = 22 x 15
B. 41 = 1x41
C. 28 = 2x2x7 or 28 = 22x7
Answers
explanation: 28 is composite while 2 and 7 are prime numbers
4. A store had 86 DVDs and 52 CDs. When the equal number of DVDs and CDs were sold,
the number of DVDs left was 3 times that of the remaining CDs. How many DVDs were
left in the store?
Answers
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
Initial
Number of DVDs= 86
Number of CDs= 52
After selling
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
Expand:
86 -x= 156 -3x
Bring x terms to 1 side, constant to the other:
3x -x= 156 -86
Simplify:
2x= 70
Divide both sides by 2:
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
A poll is given, showing 60% are in favor of a new building project.
If 7 people are chosen at random, what is the probability that exactly 5 of them favor the new building project?
Answers
Round this value however you need to.
==================================================
Explanation:
n = 7 = sample sizep = 0.60 = probability of someone being in favork = 5 = number of people in favorWe use the binomial distribution here. The formula for that is
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
where the n C k refers to the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
simply replace r with k.
------------------------------
So,
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
P(5) = (7 C 5)*(0.6)^5*(1-0.6)^(7-5)
P(5) = 21*(0.6)^5*(0.4)^(2)
P(5) = 21*0.07776*0.16
P(5) = 0.2612736
This decimal value is exact (meaning there aren't any other digits after that last '6'). Round this value however you need to.
There's roughly a 26.1% chance of getting exactly 5 people to be in favor of the project.
What transformation(s) were made to the original f(x) = x3 graph?
The function was shifted to the right 3 units.
The function was shifted to the left 2 units.
The function was stretched by a factor of 2.
The function was shifted to the right 2 units.
The function was shifted upward 2 units.
The function was stretched by a factor of 0.5.
Answers
Answer: it is c which is the function was stretched by all the factor of 2
hope this help
Katy runs a day care center . So far this year , the enrollment has consisted of 2 toddlers and 8 children of other ages . Considering this data, how many of the next 20 children to enroll should you expect to be toddlers?
Answers
Answer:
You should expect 4 of the next 20 children to enroll to be toddlers.
Step-by-step explanation:
This question is solved by proportions.
So far:
We have that of 2 + 8 = 10 children, 2 are toddlers, so the proportion of toddlers is 2/10 = 0.2.
How many of the next 20 children to enroll should you expect to be toddlers?
0.2 out of 20, so: 0.2*20 = 4
You should expect 4 of the next 20 children to enroll to be toddlers.
Sherrie travels 120 miles in 3 hours. Find the unit rate of speed missing number.
Answers
Answer:
The unit rate of speed is 40 miles per hour.
Step-by-step explanation:
Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:
3 = 120
1 = X
(1 x 120) / 3 = X
120/3 = X
40 = X
Therefore, the unit rate of speed is 40 miles per hour.
Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)
Answers
Answer:
its B homie
Step-by-step explanation:
U stuped
please help with the steps
Answers
9514 1404 393
Answer:
346.1 monthly payments; 28.8 years18.5 years; infinite yearsStep-by-step explanation:
Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.
FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years
A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.
__
Problem 1
You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...
log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months
log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1
The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.
__
Problem 2
Again, solving for t, we get ...
log(1 -Pr/(An))/(-n·log(1 +r/n)) = t
The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...
log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years
Changing the withdrawal to $3000 per month makes the account last forever. It earns $3150 in interest each month, so the account balance continues to increase.
The account will support withdrawals of $5000 per month for 18.5 years.
The account will support withdrawals of $3000 per month forever.
Can y’all help me?! :)
Answers
Option C.88ft².
Answer:
Solution given:
side 1=19ft
side 2=25ft
height=4ft
now
area =½height (side 1+side 2)
=½*4*(19+25)=88ft²
Answer:
The area of trapezoid is 88 ft ² .
Step-by-step explanation:
The, area of trapezoid is given by
= 1 / 2 ( Base ¹ + Base ² ) × Height
Where,
Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.
1 / 2 ( Base ¹ + Base ² ) × Height
Where, given that
Base ¹ = 19 ftBase ² = 25 ft Height = 4 ftSubstitute the values
Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft
add the both parallel sides of trapezoid
Area = 1 / 2 × 44 ft × 4 ft
multiply the values , we get
Area = 176 ft ²/ 2
Divide and we get
Area of trapezoid = 88 ft ²
Therefore, the area of trapezoid is 88 ft ².
Which statement is true?
Answers
Answer:
second 1
Step-by-step explanation:
i literally just had that question
PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points
Answers
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answers
Answer:
6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...The area of a given rectangle is 216 square inches.
Given that, the perimeter of the rectangle is 84 inches.
We need to find the area of a rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of a rectangle be x.
Given, that the length of a rectangle is six times its width. So, length=6x.
Now, 84=2(6x+x)
⇒14x=84
⇒x=6 inches
Then, length=6x=36 inches.
Area of a rectangle= Length×width=36×6=216 square inches
Therefore, the area of a given rectangle is 216 square inches.
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What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?
Answers
Pythagorean theorem is used to find the length of a missing angle such as the hypotenuse or the sides a and b.
Steps to solve:
1. 12 in is the length or the base of the right triangle, and 6 in is the wide or the side a.
2. Now use the formula: a^2+b^2=c^2, and plug in the numbers!
3. 6^2+12^2=c^2, now just solve the squared numbers.
4. 36+144=c^2
5. 180=c^2
6. Find the square root of 180.
And that is you answer!
If helped mark me the brainiest!!
Question
The angles in
triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times
as large as the smallest angle. Find the measures of all three angles.
Answers
9514 1404 393
Answer:
20°, 120°, 40°
Step-by-step explanation:
Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...
s + (100+s) +(2s) = 180
4s = 80 . . . . . . . . . . subtract 100
s = 20 . . . the smallest angle
100+s = 120 . . . the largest angle
2s = 40 . . . the third angle
The angle measures are 20°, 120°, and 40°.
Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25
Answers
Answer:
Step-by-step explanation:
Volume = 4πr^3/3
S/V ratio = 4πr^2 / (4πr^3/3)
= 3/r
answer 1.67 C
what happens when you divide by 0? i did this problem in my calculator and it broke.
69 + 420 divided by 0
Answers
Answer:
ans is 0
Step-by-step explanation:
69 + 420 ÷ 0
489 ÷ 0
0
Answer:
Undefined
Step-by-step explanation:
When you try to divide by 0, your calculator will yield an error because any number (including zero) divided by zero is undefined.
You can think of it like this: if you divide any number by zero, how many times does zero go into that number? An undefined amount of times. If you had zero divided by zero, you'd still run into the issue that any number works:[tex]k\cdot 0=0, k\in \mathbb{R}[/tex]. Because [tex]k[/tex] can be any real number, it is still undefined.
There is an argument for infinity because for function [tex]f(x)=\frac{k}{x}, k\in \mathbb{R}[/tex], as [tex]x[/tex] approaches 0, [tex]f(x)[/tex] approaches infinity:
[tex]\lim_{x\rightarrow 0}f(x)=\infty[/tex]
However, infinity is not a number and should not be treated as such. Undefined is a more precise answer.
witch value of x makes this eqation true -12x-2(x+9)=5(x+4)
Answers
Answer:
x = -2
Step-by-step explanation:
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed?
Answers
How would I figure this out?
Answers
Answer:
y = 23
x ≈ 13
Step-by-step explanation:
3y + (y+88) = 180
Solve for y
y =23
6x + 35 = y + 88
substitute y = 23
6x + 35 = 23 + 88
Solve for x
x ≈ 13
Ok in this type of problem the angles that are adjacent are equal to 180 also known as supplementary so...
6x+35+8x-23=180
14x+12=180
14x=168
x=12
3y+y+88=180
4y+88=180
4y=92
y=23
And what I think is wrong with the figure is that the vertical angles are not congruent
*double check all this info
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).
Answers
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9Combine like terms: (f + g)(x) = 5x + 3aman şego şego...... ....
Answers
sego........ ... sego segó
A bakery celebrated its 25th anniversary
last Friday. On that day, every 12th
customer received a free loaf of bread
and every 9th customer received a free
cupcake.
Lauren was the first customer to receive
a free loaf of bread and a free cupcake. What was Lauren's number?
Answers
Answer:
8
Step-by-step explanation:
9: 9, 18, 27, 36, 45, 54, 63, 72
12: 12, 24, 36, 48, 60, 72
72 is the first number that can be divided (evenly) by both 9 and 12
Answer:
8
Step-by-step explanation:
9: 9, 18, 27, 36, 45, 54, 63, 72
12: 12, 24, 36, 48, 60, 72
72 is the first number that can be divided (evenly) by both 9 and 12
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.
Which equation can be used to determine the number of miles, m, to the airport?
Answers
Answer:
13.50=1.50+.6x
Step-by-step explanation:
13.50=1.50+ .6x
12=.6x
20=x
The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total cost of the taxi be represented as y
Let the number of miles traveled be represented as m
Now , the total cost = $ 13.50
The number of miles = m miles
The initial cost of taxi = $ 1.50
The cost per mile = $ 0.60
So , the equation is 13.50 = 1.50 + 0.6m
Subtracting 1.50 , we get
12 = 0.6m
Divide by 0.6 , we get
m = 20 miles
Hence , the number of miles is 20 miles
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61 1/20 as a decimal
Answers
Answer:
61.05
Step-by-step explanation:
1/20 = 5/100 = 0.05
61+0.05 = 61.05
Please help, show work! Limits and functions! 85 points!
Answers
Answer:
Ok I might misunderstand this but this is what I got ( in order )
Write 5/14 with denominator 28
Answers
Answer:
10
Step-by-step explanation:
if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10
Answer:
10/28
Step-by-step explanation:
5/14 = x/28
See that 28 is 14*2
So multiply 14*2 to get 28, and 5 * 2 to get 10
5 / 14 * 2/2 = 10 / 28
If my answer is incorrect, pls correct me!
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