The diagram shows Maha's garden.
AB = 15.3 m.
BC= 13.6m.
AD = 24.0m.
Find the perimeter of the garden.
Answers
Answer:
perimeter = 71.4 m
Step-by-step explanation:
using the Pythagorean theorem:
CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25
CD = √342.25 = 18.5
perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m
Related Questions
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answers
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
Please help me with this question.
Answers
Answer:
A
Step-by-step explanation:
F(-2)= 4(-2)-1= -9
G(-2)= (-2)^2-3= 1
f(-2)-(g-2)= -9-1= -10
Johnson Electronics makes calculators. Consumer satisfaction is one of the top
priorities of the company’s management. The company guarantees the refund of
money or a replacement for any calculator that malfunctions within two years from
the date of purchase. It is known from past data that despite all efforts, 12% of the
calculators manufactured by this company malfunction within a 2-year period. The
company recently mailed 550 such calculators to its customers.
a. Find the probability that exactly 32 of the 550 calculators will be returned for
refund or replacement within a 2-year period.
b. What is the probability that 30 or more of the 550 calculators will be returned for
refund or replacement within a 2-year period?
a. What is the probability that 15 to 35 of the 550 calculators will be returned for
refund or replacement within a 2-year period?
Answers
Answer:
later ill answer this .. read and understand
At the candy store, Sophie filled a bag with 2 2/3 kilograms of candy. 1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?
Answers
Answer:
The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.
Step-by-step explanation:
Sophie filled a bag with 2 2/3 kilograms of candy.
This means that the total weight is of:
[tex]2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}[/tex]
The total weight is of 8/3 kilograms.
1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?
1/4 of 8/3. So
[tex]\frac{1}{4} \times \frac{8}{3} = \frac{1*8}{4*3} = \frac{2}{3} = 0.6667[/tex]
The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.
Which expression is equivalent to 4/9 × 7
key:
1. 9÷4×7
2. 4×7÷9
3. 4÷7×9
4. 7×9÷4
Thank you :)
Answers
A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200
Answers
Answer:B
Step-by-step explanation:
$825
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
please I really need help with this.
Answers
Answer:
New coordinates of the point Z are (-6, 9)
Step-by-step explanation:
If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,
(x, y) → (-x, -y)
Coordinates of the vertex Z → (6, -9)
Following the same rule,
Z(6, -9) → Z'(-6, 9)
Therefore, coordinates of the new (image) point will be (-6, 9).
Will give brainliest
Answers
Answer: Because the question uses the word “distinct” meaning obvious, and clear, I would select AB, AC, CB. (If it’s asking for all the possible line segments, I would select AB, AC, CB, BA, CA, BC).
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answers
Answer:
48/20=2.4
12/2.4=5
Step-by-step explanation:
Kai can buy 5 bunches of grapes if she has $12.
Answer:
It's 29.
Step-by-step explanation:
48/20=2.4
12x2.4=28.8
Round up to 29.
Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft
Answers
Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
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Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? *
Answers
Answer: V=120
have an amazing day <3
Answer:what is the answer i dont understand
plz help
Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = -4x – 7
g(x) = x² + 7x – 2
Answers
Answer:
-14
Step-by-step explanation:
[tex]f(x) = -4x – 7 \\ plug \: x = - 1 \\ f( - 1) = - 4( - 1) - 7 = 4 - 7 = - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) = {( - 3)}^{2} + 7( - 3) - 2 \\ = 9 - 21 - 2 \\= - 14[/tex]
he first date went well. You are still dating the same person and still looking for a great person to spend your life with. You are cautiously moving forward with the relationship and know that if they are a great match, their likelihood of being kind to animals is 0.9 whereas their likelihood of being kind to animals if they are not a great match is 0.7. You see that your prospective spouse is kind to animals. What is the probability that they are a great match now?
Answers
Answer:
0.125 = 12.5% probability that they are a great match now.
Step-by-step explanation:
To solve this question, we need the probability of a person being a great match, which i will use 0.1.
This question is solved using conditional probability.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Is kind to animals.
Event B: Is a great match.
Probability of being kind to animals:
0.9 of 0.1(Is a great match).
0.7 of 1 - 0.1 = 0.9(is not a great match). So
[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]
Probability of being kind to animals and a great match:
0.9 of 0.1. So
[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]
What is the probability that they are a great match now?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
0.125 = 12.5% probability that they are a great match now.
20 POINTS HELP!!
What value of x and y make the polygon below a parallelogram
Answers
Answer:
Step-by-step explanation:
3x = 12
x=4
x+y =5y
4+y = 5y
4 = 4y
1=y
Answer:
x-5 = y
72 -5 = 67
y=67
x = 72
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72
x = 12 In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72
x = 12 and the diagonals measure
144 and 134
i hope this helps!! ^_^
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the nozzle to pass through(Use Pi = 3.14
Answers
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
[tex]r = 3[/tex] -- radius
[tex]h = 7[/tex] --- height
[tex]Rate = 14in^3/min[/tex]
Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
This gives:
[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]
[tex]V = \frac{1}{3} * 197.82[/tex]
[tex]V = 65.94in^3[/tex]
To calculate the time, we make use of the following rate formula.
[tex]Rate = \frac{Volume}{Time}[/tex]
Make Time the subject
[tex]Time= \frac{Volume}{Rate }[/tex]
This gives:
[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]
[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]
Cancel out the units
[tex]Time= \frac{65.94}{14} min[/tex]
[tex]Time= 4.71 min\\[/tex]
Answer:
The time it will take for all the liquid to pass through is 4.71 minutes.
-Don't worry it's been already verified by myself .
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.
Answers
Answer:
12-c
Step-by-step explanation:
This is quite simple
We know grandma has made 96 cookies and IF all children 8 receive equal cookies
They would have 12 cookies each
Cindy got c less cookies
so we can say
12-c is what Cindy got
I guess grandma got hungry
Answer:
Step-by-step explanation:
98 = 8 = 12
cindy cookies = 12-c
Estimate 719 – 274. Round each number first.
Answers
719 rounded up equals 720
274 rounded down equals 270
720-270= 450
Need help on this subject ????
Answers
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
The product of the lengths to the near and far circle intercepts is the same for both secants.
3×(3+5) = 4×(4+x)
24 = 16 +4x . . . simplify
6 = 4 +x . . . . . . divide by 4
2 = x . . . . . . . . .subtract 4
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answers
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
BC is included between?
Answers
Answer:C
Step-by-step explanation: goobaldy gock
Answer:
the answer is B not C you're welcome
) Solve
the problem please
Answers
Answer:
0.03703703703
Step-by-step explanation:
Look it up
In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answers
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In triangle ABC,
m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.As, the sum of all the angles of triangle is equal to the 180 degree. Thus,
[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]
Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
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A number cube has faces 1 through 6. How many of the number on the cube are composite?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
B) 2 numbers
Step-by-step explanation:
composite #'s: 4, 6
prime #'s: 2, 3, 5
neither composite nor prime: 1
Solve: 18^(x^(2)+4x+4)=18^(9x+18)
x = -2
x = 7
x = –2 and x = 7
no solution
Answers
Is this the problem?
[tex]18x^{2+4+4} = 18^{9x+18}[/tex]
Answer
The Answer is C
x=-2 and x=7
Which equation best represents the relationship
between x and y in the graph?
FOR BRAINLSIT!!
Answers
Answer:
I've never had to deal with this before but I would say C
Answer:
The best option is C ( y=(1/4) x +3)
Find the 5th term of the arithmetic sequence -5x – 5, -12x – 8,
- 19x – 11, ...
Answers
Answer:
5th term of AP = -33x - 17
Step-by-step explanation:
Given:
Arithmetic sequences;
[-5x - 5], [-12x - 8], [ - 19x - 11] , ...
Find:
5th term of AP
Computation:
First term a = [-5x - 5]
Common difference d = a2 - a1
Common difference d = [-12x - 8] - [-5x - 5]
Common difference d = -12x - 8 + 5x + 5
Common difference d = -7x -3
5th term of AP = a + [n-1]d
5th term of AP = [-5x - 5] + [5-1][-7x -3]
5th term of AP = [-5x - 5] + [4][-7x -3]
5th term of AP = [-5x - 5] -28x -12
5th term of AP = -5x - 5 -28x -12
5th term of AP = -33x - 17
Find (g times f) (3)
f(x)=3x-2
g(x)=x^2
Answers
A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.
Answers
Answer:
the volume of the rectangular swimming pool is 660 meters cubic
Step-by-step explanation:
you multiply 15x11x4
In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answers
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
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In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if: (a) The books can be arranged in any order? Your answer is: 3628800 (b) The mathematics books must be together and the novels must be together? Your answer is : 6 (c) The mathematics books must be together but the other books can be arranged in any order? Your answer is: 5040
Answers
Answer:
(a) 3628800 ways
(b) 17280 ways
(c) 120960 ways
Step-by-step explanation:
Given
[tex]Novels = 5[/tex]
[tex]Maths = 4[/tex]
[tex]Biology = 1[/tex]
[tex]Total = 10[/tex]
Solving (a): Arrangement with no restriction.
We simply count each book with no restriction. i.e. 10 books
So, the number of arrangement is:
[tex]Arrangement =10![/tex]
[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]
[tex]Arrangement =3628800[/tex]
Solving (b): Maths book together and Novels together
First, arrange the 4 maths books as:
[tex]Maths = 4![/tex]
Next, arrange the 5 novels as:
[tex]Novels = 5![/tex]
Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.
So, we have: 3 books
Arrange 3 books, we have:
[tex]Books = 3![/tex]
Total arrangement is:
[tex]Total = 4! * 5! * 3![/tex]
[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]
[tex]Total = 17280[/tex]
Solving (c): Maths book together
First, arrange the 4 maths books as:
[tex]Maths = 4![/tex]
Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)
So, we have: 7 books
Arrange 7 books, we have:
[tex]Books = 7![/tex]
Total arrangement is:
[tex]Total = 4! * 7![/tex]
[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]
[tex]Total = 120960[/tex]
