A rhombus and a triangle are equal in areas. if the base and height of the triangle are 24.8 cm and 5.5 cm respectively and the length of one diagonal of the rhombus is 22 cm, find the length of other diagonal of the rhombus.
As we know that
Area of triangle = ½ × Base × Height
Area = ½ × 24.8 × 5.5Area = 1 × 12.4 × 5.5Area = 12.4 × 5.5Area = 68.2 cm²Now,Area of rhombus = ½ × D1 × D2
68.2 = ½ × 22 × D268.2 × 2 = 22 × D2136.4 = 22 × D2136.4/22 = D26.2 = D2D2=6.2Hence :-Other Diagonal is 6.2 cm.[tex]\begin{gathered} \\ \end{gathered}[/tex]
5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest
If a family has 8 children , in how many ways could the parents have 5 boys and 3 girls
That depends on what you mean by a "way" of having children. Some of the more obvious answers: One. Four boys and four girls, there's no other way of getting that many boys or that many girls. 40320. Usually each child has its own distinct DNA. The information in DNA can be converted into a number, and there are 8-factorial = 8! = 40320 orderings for eight numbers. 70. If each boy is considered to be the same until it is born and then named, so that the first four boys will always be named the same way and the same for the girls, then you can find the number of ways using binomial coefficients. The number of ways of arranging four equal boys and four equal girls into an order, is the same as the number of ways of choosing four numbers from 1 to 8 representing the position of the boys in that order. The number of ways of choosing a set of 4 numbers from 8 is called "8 choose 4" sometimes written 8C4 and is calculated as (8*7*6*5)/(4*3*2*1) (The numererator product in nCr stops when you have r numbers) (8*7*6*5)/(4*3*2*1) = 70
Answer:
As parents have 5b and 3 g
so if we add them it becomes 8
hence family has 8 children
Ron sells bananas for $0.60 each. How many bananas did Ron sell if he made $150.00, after taking off $39.00 for his banana stand rental?
The number of bananas that Ron sold is 315.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Cost for a banana = $0.60
Also given, he made $150.00, after taking off $39.00 for his banana stand rental.
Total amount of money that Ron made by selling the bananas = $150 + $39 = $189
Number of bananas sold = 189 / 0.6
= 315
Hence Ron sold 315 bananas.
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15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlistThere are red and green apples in a crate.
There are 60 green apples in the crate.
The ratio of the number of red apples to green apples is 1:5
Georgia puts in some more red apples into the crate.
The ratio of the number of red apples to green apples is now 2:3
How many red apples does Georgia put into the crate?
Answer:
28
Step-by-step explanation:
60 apples by 5 is 12. When Georgia put some more apples in we now have to divide 60 by 3 which is 20 and then multiply that by 2 which is 40. So, if the ratio was 1:3 it would be 20:60 but it is 2:3 so the answer is 40:60. Do 40 minus 12 to find how much Georgia added. 40 minus 12 is 28.
An amount of $42,000 is borrowed for 6 years at 9% interest, compounded annually. If the loan is paid in full at the the end of hat period how much must be paid back?
Answer:
70,438.20
Step-by-step explanation:
To calculate the future value you use the following formula
FV=PV(1+i)^n
Plug in our numbers and get
FV=42000(1+.09)^6
42000*1.09^6=70,438.20
Use the given information to solve for x and y
Answer:
x = 10 and y = 7
Step-by-step explanation:
Equalateral triangle means all sides are equal.
x = 10, easy
make y + 3 = 10
y = 7
Easy, no real math needed. lol
Translate and solve: −5 times b is no less than −35.
William is thinking of a number, n and he wants his sister to guess the number. His first clue is that five less than two times his number is at least negative three and at most fifteen. Write and solve a compound inequality that shows the range of numbers that William might be thinking of.
Answer:
-3[tex]\leq \\[/tex]2n-5[tex]\leq[/tex]15
Step-by-step explanation:
2n-5 at least -3, at most 15What is the difference between 100 and 33?
Answer:
67
Step-by-step explanation:
100 - 33 = 67
The difference between 100 and 33 is 67.
The answer is 67 if you go to your calculator app and do 67+33 it equals 100
The price of parking for 2 hours or less at the airport is increasing
from $2.50 to $5.00. What is the percent of price increase?
Answer:
it increased 50%
Step-by-step explanation:
5 / 2.5 = 2
100 / 2 = 50%
Answer:
50% increase
Step-by-step explanation:
half of 5.00 is 2.50
please solve and receive brain list
Answer:
1 and 1
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
This is a system of equations. To solve it, you need to get one of your variables by itself first. (that means getting the x, or y by itself, just like how you solve equations when you only need to solve for one variable). I decided to solve the first equation, which is -x - 2y = -3 I'll solve it for the x, since there is no number being multiplied to it.
Martha has 2 red beads for every 5 yellow beads on her necklace. If Martha has
18 fewer red beads than yellow beads, then how many yellow beads does she
have?
Answer:
30 yellow beads
Step-by-step explanation:
there is a difference of three beads if there are 5 yellow beads per 2 red beads. You're looking for a combination of numbers with a difference of 18. divide 18 by three, and you get 6. multiply 6 by each of the 2 numbers 2 and 5, to get 12 and 30. They have a difference of 18, and follow the ratio of red to yellow beads. Now just take the 30 yellow beads and give an answer
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answer:
30 kilometers
Step-by-step explanation:
if cos theta = 3/5, then tan theta =
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33
Plz help me solve this!!-
Amy drove her hoverboard 3 miles in 40 minutes. Jim hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer
Answer:
Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.
Step-by-step explanation:
Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:
(3/40) x 60 = Amy's speed
0.075 x 60 = Amy's speed
4.5 = Amy's speed
So Amy traveled 4.5 miles per hour.
(2/20) x 60 = Jim's speed
0.1 x 60 = Jim's velocity
6 = Jim's speed
Instead, Jim traveled 6 miles per hour.
Therefore, Jim was the one who traveled at a greater average speed.
I need help with math the question is What area of a square whose sides measure 3 feet?
A.12 square feet
B. 6 square feet
C. 9 square feet
D. 18 square feet
Answer:
c
Step-by-step explanation:
Since area is lw 3*3=9
8x+5y=24
y=−4x
show work please
Answer:
(-2, 8)
Step-by-step explanation:
8x + 5y = 24
8x + 5(-4x) = 24
8x + -20x = 24
-12x = 24
-12x/-12 = 24/-12
x = -2
----------------------------
y = -4(-2)
y = 8
--------------------------
8(-2) + 5(8) = 24
-16 + 40 = 24
24 = 24
1 - 2x + 5 = 4x - 3
solve
Answer:
3/2
Step-by-step explanation:
1-2x+5=4x-3
1-2x-4x+5=-3
1-6x+5=-3
-6x+6=-3
-6x=-3-6
-6x=-9
6x=9
x=9/6
simplify
x=3/2
Answer:
x=1.5
Step-by-step explanation:
combining everything: -2x+6=4x-3
adding 2x to both sides, you get
6=6x-3
add 3 to both sides, you get 9=6x
divide, and then you get 1.5
uwu
a wheel makes 20 revolutions per min. how many revolutions does it make per second? type and integer or simplified fraction.
Answer:
1200 revolutions per second
Step-by-step explanation:
60 seconds per minute so multiply 60 x 20 to get 1,200
Will mark brainlist please help geometry
9514 1404 393
Answer:
ΔPRQ ≅ ΔVWX
Step-by-step explanation:
ASA means the corresponding side lies between the two corresponding angles. That is true for triangles PRQ and VWX.
We chose to name the triangles starting with the angle marked with the single arc, then the angle marked with the double arc. They can be named using any permutation of the letters, provided that the same correspondence is achieved between the two names.
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).
does anyone know this? please help
Answer:
3rd answer
Step-by-step explanation:
it would be the third answer
help me plz someone ...
Answer:
f
Step-by-step explanation:
It snowed 20 inches in 10 days in Canada. At what unit rate did the snow fall?
Answer:
2 inches per day
Explanation:
Divide 20 by 10
The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the sampling frame should list every individual in the population, but in practice this is often difficult. A sampling frame that leaves out part of the population is a common source of undercoverage. In the following questions select all choices that apply; to receive credit for the question you must select all the correct choices and only the correct choices.
Question 1. A pollster wants to select a random sample of households in a particular community. The pollster randomly selects a sample of households in the community from the community telephone directory available in the public library. What households are omitted from this sampling frame?
1. Households that connect to the internet with their phone line.
2. Households that possess only cellphones Households with a second line for the fax machine.
3. Households that have moved into the community since the most recent community telephone directory was printed.
4. Households with unlisted numbers. Households with more than one line. Poor households (cannot afford a phone)
5. Households without telephones.
Question 2. What types of people do you think are most likely to live in the omitted households selected in question 1?
1. These people will probably be underrepresented in the sample. lower income people (cannot afford a phone)
2. people who choose not to list their numbers people who choose not to have phones
3. people who graduated from UNC-Chapel Hill
4. jobless people who have moved into the community to look for employment since the most recent community telephone directory was printed
5. people who drive hybrid automobiles high income people
Question 3. It is usual in telephone surveys to use random dialing equipment that selects the last four digits of a telephone number at random after being given the land-line exchange (the first three digits; note that cell phone exchanges differ from land-line exchanges). Which of the households you selected in Question 1 above will be included in this sampling frame by random digit dialing?
1. Households that possess only cellphones Poor households (cannot afford a phone)
2. Households with unlisted numbers
3. Households without telephones
4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.
Answer:
Question 1:
2. Households that possess only cellphones. 5. Households without telephones.As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.
Question 2:
1. Lower income people (cannot afford a phone).2. people who choose not to list their numbers people who choose not to have phones.Question 3:
2. Households with unlisted numbers 4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.
2. It costs Shermano's pizza $2 to make a pizza, if the markup is 550%.
what is the selling price for a pizza? *
simplify the expression 3(6/5x+4y+6)-2(9/5x+8y+3)
Answer:
-20(y-3)/3
Step-by-step explanation:
The expression can be written simplified as 6x - 4y + 12.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given as:
3(6/5x+4y+6)-2(9/5x+8y+3)
To simplify the expression, we need to use the rules of algebra to combine like terms and perform the necessary operations in the correct order.
First, we can distribute the 3 and the -2 to the terms inside the parentheses:
3(6/5x+4y+6) - 2(9/5x+8y+3)
= 18/5x + 12y + 18 - 18/5x - 16y - 6
Next, we can combine like terms:
= 18/5x - 18/5x + 12y - 16y + 18 - 6
= 6/5x - 4y + 12
Finally, we can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:
= (6/1) / (5/1)x - 4y + 12
= 6x - 4y + 12
Therefore, the simplified expression is 6x - 4y + 12.
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Write an expression that is equivalent to 27e+24
Answer:
3(9e+8)
Step-by-step explanation:
I hope this helps
X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a score from X and having it be greater than or equal to 126
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
[tex]Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...[/tex]
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!