Answer:
C) 8w = 80;30
This is because it is a rectangle and 30ft +30ft =60ft length.
The question asks to make the fence as large as possible fencing overall is same ratio as D but more for length.
The new equation could be for total width both sides;
9^2 -1w = 5
81-1w = 5
w = 80/5
w = 16ft
Final answer:
To calculate the largest possible length for Lance's chicken fence, set up the perimeter equation with length as three times the width. The equation simplifies to 8w=80, and solving for w gives a width of 10 feet, making the largest possible length 30 feet. The correct answer is option C.
Explanation:
Lance is building a rectangular fence for his chickens, and he wants the longer side, the length, to be three times the shorter side, the width. The total amount of fencing he has is 80 feet. To find the largest possible length, we need to set up an equation.
Let the width be w. Then, the length will be 3w. The perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, and l and w are the length and width, respectively. Since he has 80 feet of fencing, the equation is:
2(3w) + 2w = 80
Simplify the equation:
6w + 2w = 80
8w = 80
To find the value of w, divide both sides of the equation by 8:
w = 80 / 8
w = 10
Now that we have the width, let's find the largest possible length:
Length = 3w = 3(10) = 30
Therefore, the largest possible length is 30 feet. The correct choice is C) 8w=80; 30.
The measurement of one angle of a right triangle is 43° what is the measurement of the third angle
In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
(1)8
(2)2√7
(3)2√10
(4)4
The length of side c would be 8.
Step-by-step explanation:
Given that,
a = 4
b = 6
cosC = -1/4
If we are given two sides and angle, the law of Cosines can be used to find the third side:
[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]
By inserting the values in the formula, we get
[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]
[tex]c^{2} = 16 + 36 + 12[/tex]
[tex]c^{2} = 64[/tex]
[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]
c = 8.
Therefore, the length of side c would be 8.
The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.
To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:
[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]
Substitute the given values:
[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]
[tex]\[ c^2 = 16 + 36 + 12 \][/tex]
[tex]\[ c^2 = 64 \][/tex]
Now, take the square root of both sides to find [tex]\( c \):[/tex]
[tex]\[ c = \sqrt{64} \][/tex]
[tex]\[ c = 8 \][/tex]
Therefore, the length of side [tex]\( c \)[/tex] is 8.
15x + 35 = 65 * what does X=
A. x = 2
B. x = -2
C. x = 5
D. x = 50
Answer:
A
Step-by-step explanation:
15x+35=65
15x=30
x=2
Answer: X= 2
Step-by-step explanation:
We know that 15 + 35 = 50.
But we still need to figure out the X, out of the options multiply it by 2 will get you 30. If we have 30 then we can complete our equation.
15x2 = 30 + 35 = 65
Hope this helps :D
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
The answer is C
Insert y=X-2 into the equation y=-X+2
You will get the point (2,0)
Insert y=2X-1 into the same equation
you will get the point (1,1).
Without solving for the last point
you will realize that your answer is C
Note: This approach is appropriate for solving objective questions
Which is the best estimate of the sum of the fractions 5/12+5/9
Answer:
0.926
Step-by-step explanation:
5/12 as a decimal is 0.416 and
5/9 as a decimal is 0.5 repeating
You just have to turn the fraction into a decimal and
add those together.
So your final equation would be 0.416+0.5
Answer:
35/36
Step-by-step explanation:
The least common denominator for both 12 and 9 is 36.
5 3 = 15
— X —
12 3 = 36
5 4 = 20
– X
9 4 = 36
15+20 = 35
so, 35/36
Hope this help, have a great day, and Stay Safe.
:)
There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.
To solve this, we can set up two equations based on the number of coins and their total value.
Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:
d + q = 15
The second equation is based on the total value of the coins:
0.10d + 0.25q = 2.85
To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:
d + 2.5q = 28.5
Subtracting the first equation from this results in:
1.5q = 13.5
Dividing by 1.5 gives us the number of quarters:
q = 9
Substituting q = 9 into the first equation gives us the number of dimes:
d + 9 = 15
d = 6
Therefore, there are 6 dimes and 9 quarters in the cup.
What is the slope of the graph? (Example: 2/3,-4,-2/9)
Answer:
7/9
Step-by-step explanation:
Answer:
The slope is -1
Step-by-step explanation:
Slope is rise/run
In the picture the graph 'raises' by -1 (Because its going down) and runs by 1
so the slope is -1/1 or -1
EE
Solve the system of equations.
y= 2x + 4
y = x2 + x - 2
A. (-2, 0) and (3, 10)
B. (2,0) and (-3,-10)
C. (-3,-10) and (-2,0)
D. (-3, 10) and (2,0)
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x + 4 → (1)
y = x² + x - 2 → (2)
Substitute y = x² + x - 2 into (1)
x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )
x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )
A patient takes a medication with a half life. Initially, there are 11 milligrams of the medication in the patient's system. After 70 minutes there are 7 milligrams. After how many minutes will there be only 3 milligrams remaining in the patient’s system? here be after 10 hours? Round your answer to the nearest whole number, do not include units.
Answer:
201
Step-by-step explanation:
The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.
Solve the equation if 0 degrees<=x<=360 degrees.
sinx= -sqrt 2/2
Answer:
Step-by-step explanation:
hello :
sinx = - -√2/2 0°≤x≤360°
x = 225°
x= 315°
The value of x in this equation is 315°
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here:
Sinx= -√2/2
x =sin⁻¹( -√2/2)
x = -45°
Therefore positive angle of x is given by 360-45=315°
Hence, The value of x in this equation is 315°
Learn more about trigonometric functions here:
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Which equation is equivalent to 2x + 10 = 6
A)
2x = 4
x + 5 = 3
(
x + 10 = 3
2x + 6 = 10
Which 2d shape can be rotated about the y axis to create a cone
Answer:
a triangle
Step-by-step explanation:
Answer:
a right triangle
4c = 3 C =
please help me I am late for hw and ned this question done asap
Answer:
4c=4 c=3/4
Step-by-step explanation:
Please answer this question! I will try to give brainlist if possible. I beg you, I have asked this question three times!
Answer:
2/7
Step-by-step explanation:
Even numbers: 6, 8, 10, 20
P(E1) = 4/7
P(E2) = 3/6
4/7 × 3/6
2/7
what is 527.79 rounded to the nearest thousandth?
I looked it up and it said it was just 527.79, but when i put my answer in it said it was wrong so im really confused.
527.79
there is no because just round and try this I think it might work i dont know
Does the function model exponential growth or decay? h(t)=0.25\cdot 1.5^th(t)=0.25⋅1.5 t
Answer
Answer:
growth
Step-by-step explanation:
srry im late
do y’all know what these symbols are called ??
Answer:
They are called tie's
Step-by-step explanation:
They basically mean to carry the note out longer so instead of it being 4 beats its now 8
Hope that helped!
Solve for j . −1/3=/j4−10/3
Answer:
j = 12
Step-by-step explanation:
Solve for j by simplifying both sides of the equation, then isolating the variable.
Help??????????????????(
Step-by-step explanation:
Tn = n² - 3
Now
the first three terms
t1 = 1² - 3 = 1 - 3= -2
t2 = 2² - 3= 4 - 3 = 1
t3 = 3² - 3 = 9 - 3 = 6
----------------
The first three terms are -2 , 1 , 6
and
tenth term
t10= 10² - 3= 100-3 = 97
Hope it will help you :))
Answer:
-2, 1, 6 and the 10th is 97
Step-by-step explanation:
to find the terms, in a row, replace n with 1
nth = 1^2 -3 -2 is the answer (1^2) is 1 -3 = -2
then replace the n with 2, 3, 4 etc till you have your sequence
nth = 2^2 -3 1 is the answer (2^2) is 4 -3 = 1
nth = 3^2 -3 6 is the answer (3^2) is 9-3 = 6
nth = 4^2 -3 13 is the answer (4^2) is 16-3 = 13
nth = 5^2 -3 22 is the answer (5^2) is 25-3 = 22
etc to 10
nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97
sequence is -2, 1, 6, 13, 22, . . . . 97
in a wildlife park there were 18 gray wolves after three years there were 27 gray wolves what is the precent increase
From 18 wolves to 27 wolves, what was the increase? 27 - 18 is 9, so the increase was 9.
How much of 18 is 9? 9 / 18 is equal to 1 / 2, which is 0.5. To make 0.5 a percent we multiply by 100.
0.5 times 100 is 50%.
On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?
Answer:
Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $
Step-by-step explanation:
Given:
Initial price=$5.36
Rate=4.15 %
To Find:
Function which represents the growth price for stock market?
Solution:
As the function is growing one and with same rate and depends upon the time period ,
So the exponential function as
[tex]P=A(1+R)^t[/tex] will the required function ,
So P will be price of stock at t time period with R as rate for function.
A be the previous year price
From 2009 to 2013 rate is 4.15 %
we have to find price after 2 years
So t=2 , A at 2009 =5.36$
So P at 2011 will be given by,
[tex]P=A(1+R)^t[/tex]
[tex]P=5.36(1+0.0415)^2[/tex]
[tex]P=5.36(1.0415)^2[/tex]
[tex]P=5.8141 $[/tex]
During a solo competition for playing the flute, Sandra was given the following scores by four of the five judges:
6, 8, 9, and 8. What score would the fifth judge need to give her so that her average score from the five judges
was 8.0?
Answer: she needs a 9 from the fifth judge
Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.
Select the equivalent expression
A paving company was hired to make a 4 mile section of the highway. They need 700 tons of concrete to complete the job. How many pounds of concrete will they need to repave the highway?
Answer:
they will need 1,400,000
Step-by-step explanation:
1 ton is 2,000 pounds. so 700x 2,000=1,400,000
M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
BM=[? ]
Answer:
The length of the BM is 6 unit.
Step-by-step explanation:
Given : M is the centroid of the triangle. CM=7, PM=10, & BQ=18
To find : The value of BM ?
Solution :
Refer the attached figure below.
The centroid of a triangle is the point of intersection of its medians.
M is the centroid and the centroid divide the line in 1:2 ratio.
So, M divide BQ in 1:2 ratio and the total length of BQ is 18.
BM is one third of 18.
i.e. [tex]BM=\frac{18}{3}[/tex]
[tex]BM=6[/tex]
Therefore, the length of the BM is 6 unit.
Answer: BM=6
Step-by-step explanation:
find the simple interest on $5,000 at 6% interest for 3.5 years.
Look at the attached picture ⤴
Hope it will help u..
Three students take equivalent stress tests. Which is the highest relative score (meaning which
has the largest z score value)?
a. A score of 144 on a test with a mean of 128 and a standard deviation of 34
b. A score of 90 on a test with a mean of 86 and a standard deviation of 18
c. A score of 18 on a test with a mean of 15 and a standard deviation of 5
B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.
The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5
What is z-score?Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.
Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,
Z-score = X-μ / σ,
X = observed value, μ = mean and σ = standard deviation
a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-
Z-score = X-μ / σ
Z-score = 144-128 / 34 = 0.47
b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-
Z-score = X-μ / σ
Z-score = 90-86 / 18 = 0.22
c) A score of 18 on a test with a mean of 15 and a standard deviation of 5 :-
Z-score = X-μ / σ
Z-score = 18-15 / 5 = 0.6
Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5
Learn more about z-score, click;
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The two lines $y = 2x - 13$ and $3x+y = 92$ intersect. What is the value of $x$ at the point of intersection?
Answer:
21
Step-by-step explanation:
At the intersection of two lines, the x's are equal and the y's are equal. We may set 2x - 13 = 92 - 3x to find an x, where the y's are equal.
2x - 13 &= 92 - 3x
5x = 105
x =21
Each letter of the word PROBABILITY is written on an individual card, each of which
is the same size, and all are put in a bag. A card is drawn without looking. A card is
drawn without looking. Find P(Letter A or Vowel)
Mutually Exclusive Event
O Inclusive Event
Independent Event
Dependent Event
Answer:
Independent event
Step-by-step explanation:
A large box contains buttons with pictures of animals.
There are four different animals. A button is drawn and replaced. In 100 trials, 35 buttons with cats were drawn.
What is the probability that the next button will be a different animal?
A.
The experimental probability is 35%.
B.
The experimental probability is 65%.
C.
The theoretical probability is 35%.
D.
The theoretical probability is 65%.
Answer: its B
Step-by-step explanation:
You have to subtract 100 and 35. You get 65. Its also a experimental probability.