Answers
Answer:
Side of the rhombus is 12 cm. Let d1 = 2x cm , so d2 = 2x+6 cm
Now, 12^2 = x^2 + (x+3)^2 = 2x^2 + 6x+9 = 144, or
2x^2 + 6x-135=0, or
x^2+3x-67.5 = 0
x1 = [-3 +(9+270)^0.5]/2
= [-3+279^0.5]/2
= [-3+16.70329309]/2 = 6.851646544 cm [x2 will be negative and so inadmissible]
So d1 = 2x6.851646544 = 13.70329309 cm and d2 = 19.70329309 cm.
So the area of the rhombus is 13.70329309x19.70329309/2 = 135 sq cm.
Related Questions
A mechanic estimates that a tire still has
Can someone please help me I need this for a test thank you so much whoever answers this.
8,000 miles of useful tread life. This is 20% of
the original useful tread life of the tire. What
was the tire's original useful tread life?
A) 50,000
B) 40,000
C) 1,600
D) 30,000
Answers
Answer:
B
Step-by-step explanation:
100% is unknown 100:20 is 5
8,000*5=40,00
Please help me answer this question..how do I read the graph?
Answers
Solve 5x÷6=20.
The solution is x=
Answers
First we will multiply both sides by 6 to cancel out the 6 on the left
5x = 120
We then divide by 5 on both sides to get x by itself
x = 24
5x=120
x=120/5
x=24
Answer is 24
jessica wondered if elementary school students tend to write more when they are given
Answers
full question plsAnswer:
Step-by-step explanation:
what’s the remainder he’ll please
Answers
Answer: 13
Step-by-step explanation: Add 10+1+1+1=13
Answer:
The remainder is 12 because what is left is 12
(12 cannot be divided by 24)
Hope this helped!
if you answer all the questions I will give you 80 points and brainliest
Answers
Answer:
1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216
2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188
3) SA = 2(6*12 + 14*12 + 6*14) = 648
4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270
5) 2(16*9 + 4*9 + 16*4) = 488
6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8
7) SA = 2(7*7 + 14*7 + 7*14) = 490
8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28
9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564
Answer:Answer:
1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216
2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188
3) SA = 2(6*12 + 14*12 + 6*14) = 648
4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270
5) 2(16*9 + 4*9 + 16*4) = 488
6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8
7) SA = 2(7*7 + 14*7 + 7*14) = 490
8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28
9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564
Step-by-step explanation:
4) Find a solution to the following system of equations by graphing
X-y = 11
X-y = 5
!SHOW WORK PLEASE!
Answers
Answer:
No solution
Step-by-step explanation:
Given
[tex]x - y = 11[/tex]
[tex]x - y = 5[/tex]
Required
Solve by graph
See attachment for graph.
From the attachment, lines [tex]x - y = 11[/tex] and [tex]x - y = 5[/tex] do not intersect. This implies that, no solution exist
Can someone PLEASE help me and will mark brainliest!!!
Answers
Answer:
True
Step-by-step explanation:
(2x)(4x) = 8x^2
A figure with 6 edges.
How many edges does this figure have?
It has
edges.
Answers
Hexagon has six edges. The figure you're trying to figure out is hexagon I guess.
help please. pleasee i will mark brain please
Answers
Answer:
A=3
B=3
C=2.5
D=5
E=1
F=2
G=4
Here you go! Happy to help!
Step-by-step explanation:
If diana spends 25 minutes running at the gym how many minutes does she spend lifting weight
Answers
Answer:
0
Step-by-step explanation:
The question doesn’t say that she lifted weights
If Diana spends 25 minutes running at the gym, then she spend lifting weight for 13 minutes.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
At the gym, Diana always spends more minutes running than lifting weights.
If r represents the number of minutes Diana runs and w represents the number of minutes Diana lifts weights, then, r must be greater than w.
Possible equations are,
12 + w = r
r - 12 = w
In both cases, r is greater than w.
If Diana spends 25 minutes running at the gym, r = 25.
w = r - 12 = 25 - 12 = 13
Hence the number of minutes that Diana spends lifting weights is 13 minutes.
Learn more about Equations here :
https://brainly.com/question/29657983
#SPJ3
Your question is incomplete. The complete question is as given below.
WILL GIVE BRAINLIEST
(x-2)(y-3)=0
with diagram plz
Answers
Answer:
x=2,y=3
Step-by-step explanation:
x-2=0
x=2
y-3=0
y=3
The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
A.) What was the initial mass (in mg) of the sample?
B.) What is the mass (in mg) 4 weeks after the start?
You may enter the exact value or round to 4 decimal places.
Answers
9514 1404 393
Answer:
A) 448 mg
B) 3.5 mg
Step-by-step explanation:
24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.
A) The initial mass is 2^6×(7 mg) = 448 mg
__
B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.
(7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks
The probability of an event under the uniform distribution - random permutations. A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Celia and Felicity. Give an expression for each of the probabilities below as a function of n. Simplify your final expression as much as possible so that your answer does not include any expressions of the form (ab)(ab).
(a) What is the probability that Celia is first in line?
(b) What is the probability that Celia is first in line and Felicity is last in line?
(c) What is the probability that Celia and Felicity are next to each other in the line?
Answers
Answer:
a)
the probability that Celia is first in line is 1/n.
b)
the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)
c)
the probability that Celia and Felicity are next to each other in the line is 2/n
Step-by-step explanation:
Given the data in question;
a) Celia is first in line?
the total ways are; n! to place n kids in n places in orderly fashion.
now, if Celia is the first kid, we have to order remaining n-1 kids
(n-1)! / n! = 1/n
therefore, the required probability is 1/n.
b) Celia is first in line and Felicity is last in line?
the total ways are; n! to place n kids in n places in orderly fashion,
now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!
(n-2)! / n! = 1 / n(n-1)
therefore, the required probability is 1 / n(n-1)
c) Celia and Felicity are next to each other in the line
the total ways are; n! to place n kids in n places in orderly fashion,
now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.
But also these 2 can change the place so in total there are 2(n-1)! ways.
2(n-1)! / n! = 2/n
Therefore, the required probability is 2/n
HELP PLSSSS I BEGG PLSSSSSSSSSSSSSS
Answers
Step-by-step explanation:
every Saturday Michelle takes her dog to the park.
Stevie is laid-back guy and he usually handles tough situations in a very negative way.
Allied liberated another town and also helped hundreds of enemy soldiers.
Segment
A
B
‾
AB
has endpoints at
A
(
−
4
,
5
)
A(−4,5) and
B
(
12
,
13
)
.
B(12,13).
Determine the coordinates of point
C
C that lies on
A
B
‾
AB
such that
A
C
:
C
B
=
3
:
1
AC:CB=3:1
Answers
Answer:
12.5
Step-by-step explanation:
Write a denominator for 3/8 and 2/12
Answers
Answer:
24
Step-by-step explanation:
8 * 3 = 24
12 * 2 = 24
(the star is the multiplication sign)
Hope this helps :)
During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 65 homes, NBC 87 homes, and independents 53 homes. Test with = .05 to determine whether the viewing audience proportions changed.
Required:
Compute the value of the 2 test statistic (to 2 decimals). The p value is Has a significant change occurred in viewing audience proportions?
Answers
Answer:
- The value of the 2 test statistic is 6.98
- There is no sufficient evidence to reject the claim of the specific distribution
Step-by-step explanation:
Given
Proportion (p)
[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]
Samples
[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]
First, we formulate a table for chi square totals:
[tex]x^2 = \frac{(O - E)^2}{E}[/tex]
Where
O = Observed Frequency and E = Expected Frequency
So, we have:
[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]
For ABC
[tex]E = np = 300 * 0.29= 87[/tex]
[tex]O-E =95 - 87 = 8[/tex]
[tex](O-E)^2 = 8^2 = 64[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]
For CBS
[tex]E =np = 300 * 0.28 = 84[/tex]
[tex]O -E = 65 - 84 = -19[/tex]
[tex](O -E)^2 = (-19)^2 = 361[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]
For NBC
[tex]E =np = 300 * 0.25 = 75[/tex]
[tex]O -E = 87 - 75 = 12[/tex]
[tex](O -E)^2 = (12)^2 = 144[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]
For others:
[tex]E = np = 300 * 0.18 =54[/tex]
[tex]O - E = 53 - 54 = -1[/tex]
[tex](O - E)^2 = (-1)^2= 1[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]
[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]
[tex]\sum x^2 = 6.975[/tex]
[tex]\sum x^2 = 6.98[/tex] --- approximated
The value of the 2 test statistic is 6.98
Next, is to determine the p value:
Calculate the degree of freedom
[tex]df = n - 1[/tex]
[tex]df = 4 - 1[/tex]
[tex]df = 3[/tex]
Using the [tex]x^2[/tex] table in the 3rd row,
[tex]\sum x^2 = 6.98[/tex] corresponds to:
[tex]p = 0.072699[/tex]
The value of p is:
[tex]0.05 < P < 0.10[/tex]
This implies that, we fail to reject H o
8/12+1/4
ayuda por favor es para hoy
Answers
If something is $1.75 with 34% markup what is the sale price?
Answers
Answer:
$2.65
Step-by-step explanation:
Find the distance between the points on the graph.
Answers
Answer:
6 cubics are from distance away :))) hope this helps
Step-by-step explanation:
CAN SOMBODY HELP ME IF YOU DO IT WRONG I WILL REPORT YOU BUT IF IT IS RIGHT I WILL GIVE YOU ALL MY POINTS AND BRINLY AND 5 STARS AND A THANKS BUT ALL I ASK IS THAT WHEN YOU ANSWER IT PLZZZZZZZZZ TELL ME HOW YOU DID IT I NEED TO NOW BECAUSE I NEED YOUR HELP
Answers
Answer:
D: 2:3
Step-by-step explanation:
She saw 2/5 mockingbirds
The remainder of birds she could see is 3
This means she saw 3 blue jays
The ratio is mockingbirds to blue jays, which is 2:3
Drag and drop the phases of the moon in the correct order as they occur after the new moon.
waning gibbous
first quarter
waxing gibbous
waning crescent
full moon
Answers
Answer:
This is your answer ☺️☺️☺️
geometry I need help find the value of theta and round your answer to the nearest tenth.
Answers
Answer:
54deg
Step-by-step explanation:
We need to compute the inverse cosine of 10/17. I can't do it by hand, so I used a calculator and it arrived at ~53.97deg which is 54deg rounded to the nearest tenth.
Renting a pony for a birthday party costs $200, plus $40 per hour. Write an equation to represent the total cost, c, of renting a pony for hours.
Answers
Answer:
200+ 40h= c
Step-by-step explanation:
A road crew much repave a road that is 4/5 miles long. They can repave 1/20 miles each hour. How long will it take the crew to repave the road? Write your answer in simplest form.
Answers
Answer:
16 hours
Step-by-step explanation:
Multiply the 4/5 by 4 to get the denominator as 20. So you do 4 x 4 which equals 16 and 5 x 4 which equals 20 so you get 16/20 miles or 16 hours.
In a classroom, 1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students in the class. How many students are wearing a shirt other than blue or white?
Answers
Answer:
2/6 or 1/3
Step-by-step explanation:
cant really explain but I did this
how much interest does $1,000 earn at an interest rate of 6% compounded semi annually? what is the balance after 2 years
Answers
Answer:
Interest = A - P = 1015 - 1000 = $15
Step-by-step explanation:
Will give Brainliest and 100 points! Prove the divisibility of the following numbers: 5^5-5^4+5^3 by 7
Answers
Answer:
See Below.
Step-by-step explanation:
We have the expression:
[tex]5^5-5^4+5^3[/tex]
And we want to prove that it is divisible by 7.
To do so, we can factor out a 5³ from the expression. This yields:
[tex]=5^3(5^2-5^1+1)[/tex]
Simplify the parentheses:
[tex]=5^3(25-5+1)=5^3(21)[/tex]
We can see that the resulting expression is a value being multiplied by 21.
Since 21 is divisible by 7, our original expression must also be divisible by 7.
Hence proven.
Answer:
SEE BELOWStep-by-step explanation:
to understand thisyou need to know about:PEMDASgiven:[tex] \displaystyle \sf\frac{ {5}^{5} - {5}^{4} + {5}^{3} }{7} [/tex]let's solve:[tex] \sf \: factor \: out \: {5}^{3} : \\ \displaystyle \sf\frac{ {5}^{3}( {5}^{2} - {5}^{} + 1) }{7} [/tex][tex] \sf simlify \: parentheses \{squre \} : \\ \sf \frac{ {5}^{3} (25 - 5 + 1)}{7} [/tex][tex]\sf simlify \: parentheses \{addition \} : \\ \sf \frac{ {5}^{3} (25 - 4)}{7} [/tex][tex]\sf simlify \: parentheses \{substraction \} : \\ \sf \frac{ {5}^{3} (21)}{7} [/tex][tex] \sf \: cancel \: 7 \: and \: 21 : \\ \frac{ {5}^{3} \cancel{(21) } \ ^{3} }{ \cancel{ \: 7 \: }} [/tex]we can see 21 is divided by 7 therefore our original expression must also be divisible by 77. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)
Answers
9514 1404 393
Answer:
7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)
8. a=0; see attached for a graph
Step-by-step explanation:
7. The function is a polynomial, so its domain is all real numbers.
The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.
__
8. Putting the given point coordinates in the equation, we can solve for a.
f(7) = 6
6 = a(7 -5)² +6
0 = a(2²)
0 = a
The value of a is zero.
(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.
