Answer:
1976 cm 2Step-by-step explanation:
Let the length of the rectangle be=l
So, breadth is b=l−14
Perimetre= 2(l+b)=2(l+l−14)=180 cm
⟹4l−28=180cm
⟹l=52cm
And, b=52−14=38cm
Hence, Area=l×b=52×38=1976cm
2
all perfect numbers from 20 to 30
Answer:
There is only one perfect number between 20 to 30 which is 28.
Explanation:The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm.
help plz plz .......
Given:
An umbrella is made by stitching 10 triangular pieces of cloth.
Each pieces measuring 48cm,48cm, and 30cm.
To find:
The cost of required to make umbrella at rate of 5 paisa per square cm.
Solution:
Area of a triangle is:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where,
[tex]s=\dfrac{a+b+c}{2}[/tex]
Each pieces measuring 48cm,48cm, and 30cm. So,
[tex]s=\dfrac{48+48+30}{2}[/tex]
[tex]s=\dfrac{126}{2}[/tex]
[tex]s=63[/tex]
Area of one triangular piece is:
[tex]A=\sqrt{63(63-48)(63-48)(63-30)}[/tex]
[tex]A=\sqrt{63(15)(15)(33)}[/tex]
[tex]A=\sqrt{467775}\text{ cm}^2[/tex]
[tex]A\approx 683.9408\text{ cm}^2[/tex]
Area of 10 triangular pieces is:
[tex]10\times 683.9408=6839.408\text{ cm}^2[/tex]
The rate is 5 paisa per square cm. So, the total cost is:
[tex]6839.408\times 5=34197.04[/tex]
Therefore, the total cost is 34197.04 paisa.
what is 8^100 / 8^50 is 8^50?
Answer:
8^50
Step-by-step explanation:
8^100 / 8^50
We know that a^b / a^c = a^(b-c)
8^(100-50)
8^50
A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.
Step-by-step explanation:
The are of rectangle is 1300.5cm2
In how many ways can alice give 12 apples to 3 children if each child must get at least 1 apple
There are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple using a combination formula.
The question can be solved using a method called "stars and bars".
Now, we need to find the number of ways to arrange 12 stars and 3 bars. The number of ways to arrange 12 stars and 3 bars in the given formula:
Number of ways = (n + k - 1) choose (k - 1)
Where n is the total number of objects = 12
k is the number of groups = 3
Number of ways = (12 + 3 - 1) choose (3 - 1)
Number of ways = 14 choose 2
The combination formula can be used as:
Number of ways = {14!}{(2! [tex]\times[/tex] (14 - 2)!)}
Number of ways = 14! / (2! * 12!)
Number of ways = (14 * 13) / 2
Number of ways = 91
So, there are 91 ways in which Alice can give 12 apples to 3 children, with each child receiving at least 1 apple.
Learn more about combinations here:
https://brainly.com/question/20211959
#SPJ4
-8 is a term? im wondering o homework
Answer:
Maybe
Step-by-step explanation:
If there is a number in a equation, and you can add/subtract with your number, -8, then yes, otherwise, no.
Please help me I honestly have zero clue how to answer this question
Step-by-step explanation:
[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]
Square both sides of the equation.
[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]
[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).
Answer:
Ax + By = C is standard form.
y + 1 = (2/3)(x - 8)
distribute the (2/3)
y + 1 = (2/3)x - (16/3)
Multiply each term by 3 to clear the fractions.
3y + 3 = 2x - 16
Subtract 2x from both sides.
-2x + 3y + 3 = - 16
Subtract 3 from both sides.
-2x + 3y = - 19
Correct form typically has the leading coefficient as a positive number so multiply each term by - 1.
2x - 3y = 19
Step-by-step explanation:
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
got it right on edge
What number is 22 ten-thousandths more than 1 1/2?
Answer:
1.50000
.00022
1.50022
Step-by-step explanation:
The number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.
Given that, 22 ten-thousandths and [tex]1\frac{1}{2} =\frac{3}{2}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let x be the unknown number.
Now, x-22/10000 = 3/2
⇒ x-0.0022=1.5
⇒ x=1.5+0.0022
⇒ x=1.5022
Therefore, the number 22 ten thousandths more than [tex]1\frac{1}{2}[/tex] is 1.5022.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Three events A, B and C are defined over a sample space, S. Events A and B are independent. Events A and C are mutually exclusive. Given that P(A)= 0.04, P(B)=0.25, P(C)=0.20 and P(B/C)=0.15. Find for P(C/B)
Answer:
[(b/c)=0.15)]
Step-by-step explanation:
===================================================
Work Shown:
P(B/C) = P(B and C)/P(C) ... conditional probability formula
P(B and C) = P(C)*P(B/C)
P(B and C) = 0.20*0.15
P(B and C) = 0.03
------------
P(C/B) = P(C and B)/P(B) .... note the swap of B and C
P(C/B) = P(B and C)/P(B)
P(C/B) = (0.03)/(0.25)
P(C/B) = 0.12
------------
Extra notes:
The fact that events A and B are independent is not relevant.The fact A and C are mutually exclusive isn't used here either.This problem can be solved through Bayes' Theorem.Another alternative you can do is to set up a 3 by 3 contingency table to help solve this problem.Solve the proportion.
14
y +9
-
10
15
y = [?]
Answer:
y=12
Step-by-step explanation:
14 10
----- = --------
y+9 15
Using cross products
14*15 = 10 (y+9)
210 = 10(y+9)
Divide by 10
210/10 = 10(y+9)/10
21 = y+9
Subtract 9
21-9 = y
12 =y
How do you fix a uneven face in a month?
Tips
Answer:
I know this may not help but
Step-by-step explanation:
Fillers. Inserting a “soft filler” into your face by way of an injection may correct the appearance of facial asymmetry. ...
Facial implants
Rhinoplasty
these are the top ideas I have searcehd online although it may not look good in a month if your going with Rhinoplasty
Identify the range of the function shown in the graph.
Answer: The answer is all real numbers
Step-by-step explanation:
This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y [tex]\geq \\[/tex] 0 because it passes through 0 when the line goes through x (side to side) axis.
The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 120 residents whose mean number of pounds of trash generated per person per week was 31.5 pounds and the standard deviation was 7.8 pounds.
Round your answers to two decimal places.
A. The sampling distribution follows a ______ distribution.
B. With 95% confidence the population mean number of pounds per person per week is between_____ and_____ pounds.
C. If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about________ percent will not contain the true population mean number of pounds of trash generated per person per week.
Answer:
A. Normal
B. 30.1, 32.9
C. 95, 5
Step-by-step explanation:
A. The sampling distribution follows a normal distribution
Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem
B. The 95% confidence interval is given as follows;
[tex]CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}[/tex]
The number of residents in the study, n = 120 residents
The sample mean, [tex]\overline x[/tex] = 31.5 pounds
The standard deviation, s = 7.8 pounds
The z-value for 95% confidence level, z = 1.96
Therefore, we get;
C.I. = 31.5 ± 1.96 × 7.8/√(120)
The 95% C.I. ≈ 30.1 ≤ [tex]\overline x[/tex] ≤ 32.9
Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between 30.1 and 32.9
C. Therefore, according to the central limit theorem, about 95 percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about 5 percent will not contain the true population mean number of pounds of trash generated per person per week.
In the diagram below, DE is parallel to XY. What is the value of y
122
O A. 78
B. 112
O C. 122
D. 58
The correct is 122
The required in the diagram of parallel lines is the value of y is 122°.
What are parallel lines?Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.
Here
Given that DE is parallel to XY, we can conclude that corresponding angles are equal and vertically opposite angles are also equal. Therefore, x is equal to 122° (because vertically opposite angles are equal). Moreover, x and y are equal to 122° (because corresponding angles are equal). Hence, the value of y is also 122°.
Thus, the required in the diagram of parallel lines is the value of y is 122°.
To learn more about parallel line check out the line below:
https://brainly.com/question/16701300
#SPJ7
please help i will give brainliest (check both images)
Answer:
Amanda's box holds more popcorn.
Amanda's box holds 70 m³ more than Mary's.
Step-by-step explanation:
Find the volume of both boxes.
13.5 x 10 x 10 = 1350.
20 x 8 x 8 = 1280.
As clearly shown, Amanda's box holds more popcorn.
To find how much more, subtract 1,280 from 1,350 to get 70 m³.
Hope this helps!
If there is something wrong, please let me know.
Question 18 A block has a volume of 12 cm3 and a density of 25 g/cm. Calculate the mass.
Answer:
300 gStep-by-step explanation:
Mass = volume * density
Mass = 12*25 = 300 g
Answer:
300 g
Step-by-step explanation:
density = mass / volume
25g/cm^3 = mass / 12 cm^3
25 * 12 = mass
300 = mass
A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascends 112.2 feet. What is her current depth?
Negative 549.3 feet
Negative 59.3 feet
59.3 feet
549.3 feet
Answer:
Step-by-step explanation:
starting point: 140 feet below sea level.=-140
she then decends= 7(4.5)=31.5
-140-31.5=-171.5
finally she ascends 112.2 feet
-171.5+112.2=-59.3 feet or 59.3 feet below sea level
Answer:
It's B
Step-by-step explanation:
Help me ASAP please!!!
Answer:
85 inches²
Step-by-step explanation:
Each triangle equals 15 inches
15(4)=60
Square= 5×5=25
60+25=85 inches²
WILL AWARD BRANLIEST !!!Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2.
The lengths of the sides of triangle JKL are given.
Enter the lengths of the sides of triangle J'K'L' below.
(Decimal values may be used.)
JK=6 units
J'K'= _units
KL=10.5 units
K'L'= _units
LJ=12 units
L'J'= _ units
The lengths of the new triangle after dilation are; J'K' = 3; K'L' = 5.25 and L'J' = 6
How to carry out dilation of triangles?When it comes to dilation in transformations, it could mean enlarging or reducing the triangle by a scale factor.
Now, we are given the lengths of the original triangle as;
JK = 6 units
KL = 10.5 units
LJ = 12 units
Thus, the dilation by a scale factor of 1/2 indicates a reduction. Thus, the new lengths after dilation are;
J'K' = (1/2) * 6 = 3
K'L' = (1/2) * 10.5 = 5.25
L'J' = (1/2) * 12 = 6
Read more about Triangle Dilation at; https://brainly.com/question/3457976
#SPJ1
The total cost of a vacation package is $1,242 for the Smith family. If there are 6 family members, what is the cost for each family member? *
Answer:
$207
Step-by-step explanation:
We do 1242 / 6 = 207
It costs $207 for each family member.
Answer:
207 each
Step-by-step explanation:
Take the total cost and divide by the number of family members
1242 / 6
207 each
Make a documentary on the “Journey of Coronavirus” OR Conservation of Plants and Animals. Give an appropriate name for your documentary.
PLSS REPLY FAST
Answer:
Explanation is as follows;
Step-by-step explanation:
Fundamentals to Plant and Animal Preservation
Plants and animals are the foundation of life on Earth; it is critical to protect them from extinction by maintaining a healthy population that contributes to global biodiversity, or the variety of flora and wildlife.
Everyone in the area must actively participate in planting additional trees and preventing countless trees from being chopped down. Deforestation is the practise of chopping down trees and making a forestland barren and unsuitable for animals and birds to live in.
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?
a.distance = speed + 90
b.distance = speed × 90
c.distance − speed = 90
d.distance × 90 = speed
Answer:
b
Step-by-step explanation:
d = r * t
None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.
The 90 minutes should be changed to hours. No speedometer on a car is rated in feet per second.
find the missing length indicated.
Answer:
The answer is 192 bestie btw im a freshmen
Step-by-step explanation:
write an equation of the circle with center (-2,-9) and radius 10
Answer:
[tex](x+2)^{2}[/tex] + [tex](y+9)^{2}[/tex] = 100
Step-by-step explanation:
Standard Equation of a Circle
[tex](x-h)^{2}[/tex] + [tex](y-k)^{2}[/tex] = [tex]r^{2}[/tex]
(h,k) = center of circle
r = radius of circle
Substitute in given. Watch the negatives.
PLEASEEEE HELP, how do i draw this ?
Answer:
/ - - - - - - - - -- - - -
/ \
/ \
/ \ _________
/
_/
If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 grams? Round to the nearest tenth of a day.
Answer: [tex]26.4\ \text{days}[/tex]
Step-by-step explanation:
Given
Half life of radioactive substance is [tex]T_{\frac{1}{2}}=20\ \text{days}[/tex]
Initial amount [tex]A_o=2\ \text{days}[/tex]
Amount left at any time is given by
[tex]\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}[/tex]
It takes 26.4 days to reach 2 gm.
In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?
two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people
Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.
The number of possible groups is 330.
What is combination?Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
It is given as:
[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]
We have,
The total number of people:
5 Democrats and 6 Republicans = 5 + 6 = 11.
The number of persons in a group = 4.
The number of groups possible are:
= [tex]^{11}C_4[/tex]
= 11! / 4! ( 11-4)!
= 11! / 4! 7!
= 11 x 10 x 9 x 8 / 4 x 3 x 2
= 330
Thus,
The number of possible groups is 330.
Learn more about combination here:
brainly.com/question/2970011
#SPJ2
Grade improvement and study motivation
Answer:
yes you are write because when our results come with good marks and grade the we are motivate .
Step-by-step explanation:
thanks mark me brainlist
A lottery has a grand prize of 25and 1/2 million dollars. There are 5 people who have winning tickets and they share this prize equally. How many millions of dollars does each person get? Express the answer as a mixed number.
Answer:
5 1/10 million dollars
Step-by-step explanation:
25and 1/2 million dollars = 25 1/2 million dollars
= (25*2) + 1 / 2
= 50+1/2
= 51/2
Total prize = 51/2 million dollars
Number of people with winning ticket = 5
How many millions of dollars does each person get?
Amount of prize each person get = Total prize / Number of people with winning ticket
= 51 / 2 ÷ 5
= 51/2 × 1/5
= (51 * 1) / (2 * 5)
= 51/10
= 5 1/10 million dollars
Amount of prize each person get = 5 1/10 million dollars
