Answer:
36, 29 and 13
Step-by-step explanation:
Let 'a' be the longest side.
Let 'b' be the middle side.
Let 'c' be the smallest side.
From the question given above,
The perimeter of a triangular garden is 78 feet. This can be written as:
Perimeter = a + b + c
78 = a + b + c ...... (1)
The middle length side is 3 feet greater than twice the length of the smallest side. This can be written as follow:
b = 2c + 3 ...... (2)
The longest side is 3 feet less than 3 times the length of the smallest side. This can be written as follow:
a = 3c – 3 ..... (3)
Summary:
78 = a + b + c ...... (1)
b = 2c + 3 ...... (2)
a = 3c – 3 ..... (3)
Substitute the value of a in equation
3 and the value of b in equation 2 into equation 1
78 = a + b + c
b = 2c + 3
a = 3c – 3
78 = (3c – 3) + (2c + 3) + c
78 = 3c – 3 + 2c + 3 + c
78 = 3c + 2c + c – 3 + 3
78 = 6c
Divide both side by 6
c = 78/6
c = 13
Substitute the value of c into equation 2 and 3 to obtain the value of b and a respectively
b = 2c + 3
c = 13
b = 2(13) + 3
b = 26 + 3
b = 29
a = 3c – 3
c = 13
a = 3(13) – 3
a = 39 – 3
a = 36
Therefore, the length of the three sides are: 36, 29 and 13
Which statement best describes the formation of metamorphic rocks?
A. Magma cools and crystallizes slowly beneath Earth’s surface.
B. Liquid lava erupts from a volcano and cools quickly at Earth’s surface.
C. Sand and gravel are deposited at the mouth of a river and, over time, form layers that solidify into rock.
D. Ancient sandstone beaches become buried deep beneath Earth’s surface, where they are exposed to extreme heat and pressure.
Answer:
D
Step-by-step explanation:
Metamorphic rock is formed when rocks or minerals are subjected to high heat and high pressure, or a combination of these two factors. Answer D is the only answer that explicitly describes a rock or mineral being subject to these two things, so therefore D is the best answer.
Which graph shows an odd function?
Answer: The correct answer is c
Step-by-step explanation:
Graph C depicts an odd function.
We have the four graphs as shown in the figure.
We have to determine which graph depicts an odd function.
What is an Odd function?Assume a function f(x), if : [tex]f(-x) = -f(x)[/tex] i.e., absolute value remains the same if the sign of the independent variable is reversed.
Remember - A function is called even if its graph is symmetrical about the y - axis, odd if its graph is symmetrical about the origin.
It can be seen that - Graph A, Graph B, Graph D are not symmetrical about the origin. Only Graph C - Sine wave is symmetrical about Origin.
Hence, Option C is the graph that depicts the odd function.
To solve more questions on even and odd graphs, visit the link below -
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Please quickly answer this for me
Answer:
1 unlikely 2 unlikely 3 likely 4 impossible
Step-by-step explanation:
i am probably wrong
Mr. Haynes orders carry out from Outback. The cost of his order is $82.37. If Mr.
Haynes would like to add a 10% tip, what will be the total cost of the carry out
order?
Answer:
I'm pretty sure its $90.61?
Step-by-step explanation:
10% of 82.37 is 8.237, and you add that to 82.37 and you'd get about 90.61.
Find all points of intersection between the graphs of the functions f(x) = (x + 5)(2-4) and
g(x) = x +5.
Thunder is the sound caused by lightning. You hear thunder 5 seconds after a lightning strike. The speed of sound is about 1225 kilometers per hour. About how many miles away was the lightning?
Answer:
it is 1.05
Step-by-step explanation:
The lightning was 1.7 kilometer away.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 1225 kilometers per hour
The speed of sound = 340.277 meter/second
Also, the time after thunder heard = 5 seconds
To find distance, use formula distance = speed × time,
Distance = 340.277 × 5
= 1701.3 meter
= 1.7 kilometer
The lightning was 1.7 kilometer away.
To know more on Speed on
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Please help 6x - 3y < 9
Answer:
y>2 x - 3
Step-by-step explanation:
Can someone please help me with this question so i can i get my grades up: (2/9v)−(−1/3v+5/9)
Answer:
5v/9−5/9
Step-by-step explanation:
If its right can i plz have brainliest :)
helpppppppppppp please
Answer:
1/27
Step-by-step explanation:
3 to the power of negative 3 is = to 1/3³ which is = to 1/27
solve for x explain pls
8+2x+18=x+19
Answer:
x=-7
Step-by-step explanation:
8+2x+18=x+19
26+2x=x+19
2x-x=19-26
x=-7
What is the fraction in decimal form
8/50
Answer:
it would be 16 because 50 * 2 = 100 and 8 * 2 = 16
Step-by-step explanation:
have a good day hope i helped u today let me know if u need anything for help:)
Answer:
Step-by-step explanation:
Divide the numerator by the denominator. So 8/50=0.16
A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies
A large pizza at Mama Jane's costs $10 plus $1.25 per topping added. A large pizza at Planes costs $12.50 plus $0.75 per topping. How many toppings need to be added for pizzas from Mama Jane's and Planes to cost the same amount?
a. 2
b. 3
c. 4
d. 5
Answer:
it will be a
Step-by-step explanation:
cuz if you add 1.25 to 10$ it would Be 11.25 then you add 1.25 to 11.25 it would Be 12.5
√2y-5+4=8 solve for y. What is the root, if there is no root, choose none.
8 1/2
10 1/2
5 1/2
none
I kitten is gaining 0.6 pounds per week. The kitten is currently 7 pounds after how many weeks will the kids be at least 10 pounds? Write an inequality to represent each situation. Do not solve the inequality. Defined the variable.
Answer:
about 6 weeks
Step-by-step explanation:
Someone help pls
by which rule are these triangles congruent?
Please help will put brainliest
Answer:
9[tex]x^{2}y^{6}[/tex]
Step-by-step explanation:
There are three terms that need to be squared in this: -3, x, and y^3.
So, let's square all of them!
(-3) ^2=9
x^2=x^2
(y^3)^2=y^6
The answer would be 9[tex]x^{2}y^{6}[/tex]
Answer:
9x^2y^6
Step-by-step explanation:
Tammy has 5 pennies. Xavier has 1 nickel. Who has more money? How much more 5 cents? 5 pennies. Show how you know
Answer:
Tammy, because she has 5 and Xavier has one.
Sorry if this is the wrong answer......
Answer:
Tammy and Xavier has the same amount.
Step-by-step explanation:
Given:
Tammy = 5 pennies (5 ¢)
Xavier = 1 nickel (5 ¢)
Based on the given, they have the same amount of money.
A carpenter is building a rectangular room with a fixed perimeter of 180 ft. What are the dimensions of the largest room that can be built? What is its area?
Answer:
Answer: 45ft x 45ft
Step-by-step explanation:
we know that
Perimeter = 2(Length) + 2(Width)
180 = 2L + 2W
90 = L + W
90 - L = W
Area = Length *Width
= L(90 - L) → = 180L - L²
There are 2 different methods for solving (depending on which math course you are taking).
Calculus: find the derivative, set it equal to zero, and solve for L.
= 90L - L² → 0 = 90 - 2L → 2L = 90 → L = 45
Algebra: find the vertex.
= - L² + 90L → L = -b/2a → L = -90/2(-1) → L = 45
insert L it into the Perimeter equation to solve for W:
90 - L = W → 90 - 45 = W → W = 45
Answer: 45ft x 45ft
1. If, based on a sample size of 850, a political candidate finds that 458 people would vote for him in a two-person race, what is the 95% confidence interval for his expected proportion of the vote
Answer:
The 95% confidence interval is
[tex]0.5055< p <0.5725[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 850
The number of can of people that will vote in a two people race is k = 458
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{458}{850}[/tex]
=> [tex]\^ p = 0.539[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p(1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.539(1- 0.539)}{850} } [/tex]
=> [tex] E = 0.0335[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex] 0.539 - 0.0335< p < 0.539 + 0.0335[/tex]
=> [tex]0.5055< p <0.5725[/tex]
g Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probability that the sample proportion of baseball players will be greater than 43%
Answer: 0.1271
Step-by-step explanation:
Let p= probability of the students in a university are baseball players.
Given: p= 0.40 , sample size : n= 781
The probability that the sample proportion of baseball players will be greater than 43% will be:
[tex]P(p>0.43)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.43-0.41}{\sqrt{\dfrac{0.41(1-0.41)}{781}}}\\\\=P(Z>1.14)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(Z<1.14)\\\\=1- 0.8729=0.1271[/tex]
Hence, the probability that the sample proportion of baseball players will be greater than 43% = 0.1271
Solve for W.
A = 5W
Please help
Answer:
1/5a
Step-by-step explanation:
I hope this helps ...
an angle which measures less than right angle is called ...... angle
Answer:
An angle which measures less than right angle is called Acute angle.
Answer:
Acute angle
Step-by-step explanation: Acute angles: measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
find two possible factors for the estimate product
Answer:
This is a rather simple question. Two possible factors for a product can be any 2 real numbers. This includes: 7,2 9,3 -9,1.
Step-by-step explanation:
can someone help please.
Answer:
g(-4)=1
g(0)=-1
g(8)=1
g(-5)=2
ILL GOVE BRAINLIST!!
A mysterious compound is made up of two elements: X and Y. If the mass
of X is 10 g, and the mass of Y is 2 g, find the mass ratio of X to Y. Type your
work/thought process into the answer field below, and give your final
answer in the next question. *
Answer:gove? Does that mean love
How do you write 1/10 as of 0.5 as a multiplication equation?
Answer:
1/10+_=.05
Step-by-step explanation:
i think this is correct
Will, an art student, randomly sampled oil paintings in a museum. He wanted to find out how many oil paintings in the museum contained the color ultramarine blue. The proportion of paintings that were created using the color ultramarine blue was 0.17, with a margin of error of 0.02. Construct a confidence interval for the proportion of oil paintings that contained ultramarine blue.
Answer:
The confidence interval is [tex]0.15 < p < 0.19[/tex]
Step-by-step explanation:
From the question we are told that
The sample proportion is [tex]\^ p = 0.17[/tex]
The margin of error is [tex]E = 0.02[/tex]
Generally the confidence interval for the proportion of oil paintings that contained ultramarine blue is mathematically represented as
[tex]\^ p - E < p < \^ p + E[/tex]
=> [tex]0.17 - 0.02 < p < 0.17 + 0.02[/tex]
=> [tex]0.15 < p < 0.19[/tex]
Solve the following system of equations algebraically:
y=
y=
\,\,x^2+6x+7
x
2
+6x+7
y=
y=
\,\,-2x+7
−2x+7
Answer:
Step-by-step explanation:
Walk through examples of solving systems of equations with elimination. ... 2) Use elimination to solve the following system of equations. − 7 y − 4 x = 1 quad -7y-4x = 1 ... Systems of equations with elimination: 2x-y=14 & -6x+3y=-42 · Systems of ... (2 of 2) · Systems of equations number of solutions: y=3x+1 & 2y+4=6x.
8
According to the Red Cross, about 42% of Americans have Type A blood. Suppose 80
people show up at a typical blood drive.
What's the expected proportion of people who are Type A (p-hat)?
Answer:
33
hope this helped :)
