the Anderson are going on a long sailing trip during the summer however one of the sails on their sailboat ripped and they have to replace it the sail is pictured below if the sailboat sails are sale for 2$ per square foot how much will the new sail cost?
Answers
Firs we need to calculate the area of a triangle
[tex]A=\frac{b\cdot h}{2}[/tex]b= base
h=heigth
in our case
b=8ft
h=12ft
[tex]A=\frac{8\cdot12}{2}=\frac{96}{2}=48ft^2[/tex]then we will calculate the total cost
1 square foot ----- $2
48 square feet ----- x
the total cost is 48*2=96
total cost is $96
Related Questions
Find the restricted values of x for the following rational expression. If there are no restricted values of x, Indicate "No Restrictions".
−5r – 8/x² + 4
Answers
The restricted values of x for the following rational expression.
x = 0
x = -3/4
What are restriction value?Restricted values are those values in a rational expression that bring the denominator to zero. When referring to "Market Value," the term "restricted value" denotes the property's value under the assumption that it is subject to a temporary governmental or private limit on rentals and tenant income levels. The denominator's real numbers that have a value of 0 are not included in the domain. The word "restrictions" refers to these values. Similar to how fractions are simplified, rational expressions can be too. Cancel the common factors after factoring the numerator and denominator. Place a zero as the denominator. Put the equation to rest. The restricted values are the answer or answers.
Rational expressions should first be multiplied, and then the numerator and denominator should be factored. Next, common factors should be cancelled. Notify yourself of the domain's limitations.
−5x– 8/x² + 4 = 0
- 5x - 8/[tex]x^{2}[/tex] = -4
x = 0
x = -3/4
To know more about restriction value ,visit:
brainly.com/question/28122593
#SPJ13
What is the vertex of the parabola with thefunction rule f(x) = 5(x − 4)² + 9?
Answers
The equation f(x) = a(x - h)^2 + k gives the vertex of the parabola--it is (h, k).
In this question, h = 4 and k = 9. So the vertex is at (4, 9).
Which of the following expressions is equivalent to 2^4x − 5? the quantity 8 to the power of x end quantity over 10 the quantity 4 to the power of x end quantity over 5 the quantity 16 to the power of x end quantity over 32 the quantity 1 to the power of x end quantity over 32
Answers
The equivalent expression for the given exponent equation is 16^x/32
Given,
The exponent equation; 2^4x - 5
We have to find the expressions which is equivalent to 2^4x - 5
Exponential equations are inverse of logarithmic equations.
This can also be expressed as;
2^(4x-5) = 2^4x/2^5
2^4x-5 =16^x/2^5
2^4x-4 = 16^x/32
Hence the equivalent expression is 16^x/32
Learn more about equivalent expressions here;
https://brainly.com/question/28292075
#SPJ1
Answer:it's not 4^x/5
Step-by-step explanation:
5+3x=5x-19 I need help solving Multi Step Equations with Variables on both sides.
Answers
The equation we have is:
[tex]5+3x=5x-19[/tex]when we have the variable on both sides of the equation, what we need to do is move all of the variables to one side of the equation.
For example, in this case, to have all of the variables on the same side, we substract 5x to both sides:
[tex]5+3x-5x=5x-19-5x[/tex]On the right side 5x and -5x cancel each other, and we are left with:
[tex]5+3x-5x=-19[/tex]Next, we add the like terms on the left side, 3x-5x is equal to -2x:
[tex]5-2x=-19[/tex]Since we need to solve for x, we substract 5 to both sides, to leave the variable term alone:
[tex]-2x=-19-5[/tex][tex]-2x=-24[/tex]And finally, we divide both sides by -2:
[tex]\begin{gathered} -\frac{2x}{-2}=\frac{-24}{-2} \\ \\ x=12 \end{gathered}[/tex]Answer: x=12
Hello! I need help with this:Calculation of the confidence interval Statistics.The confidence interval should be calculated for the percentage of people who chose the answer spruce:Sample: 313Answers:Spruce - 272Pine - 41Confidence level - 0.9
Answers
We have to calculate a 90% confidence interval for the proportion that chose the answer "Spruce".
The sample proportion is p = 0.869:
[tex]p=\frac{X}{n}=\frac{272}{313}\approx0.869[/tex]The standard error of the proportion is:
[tex]\begin{gathered} \sigma_p=\sqrt{\frac{p(1-p)}{n}} \\ \\ \sigma_p=\sqrt{\frac{0.869\cdot0.131}{313}} \\ \\ \sigma_p\approx\sqrt{0.0003637} \\ \sigma_p\approx0.019 \end{gathered}[/tex]The critical z-value for a 90% confidence interval is z = 1.645.
The margin of error (MOE) can be calculated as:
[tex]MOE=z\cdot\sigma_p=1.645\cdot0.019\approx0.031[/tex]Then, the lower and upper bounds of the confidence interval are:
[tex]\begin{gathered} LL=p-z\sigma_p=0.869-0.031=0.838 \\ UL=p+z\sigma_p=0.869+0.031=0.900 \end{gathered}[/tex]Answer: The 90% confidence interval for the population proportion is (0.838, 0.900).
Rewrite the equation to easily determine the velocity of an object. solve the Equation for v
Answers
In order to solve for v in the given equation, follow these steps:
1. Divide both sides of the equation by "m"
[tex]\begin{gathered} E=\frac{1}{2}mv^2 \\ \frac{E}{m}=\frac{1}{2}\frac{mv^2}{m} \\ \frac{E}{m}=\frac{1}{2}\frac{m}{m}v^2 \\ \frac{E}{m}=\frac{1}{2}v^2 \end{gathered}[/tex]2. Multiply both sides by 2
[tex]\begin{gathered} \frac{E}{m}\times2=\frac{1}{2}v^2\times2 \\ 2\frac{E}{m}=\frac{2}{2}v^2 \\ 2\frac{E}{m}=v^2 \end{gathered}[/tex]3. in order to get rid of the exponent of v, take the square root on both sides
[tex]\begin{gathered} \sqrt{2\frac{E}{m}}=\sqrt{v^2} \\ \sqrt[]{2\frac{E}{m}}=v \\ v=\sqrt[]{2\frac{E}{m}} \end{gathered}[/tex]Then, v = √(2E/m)
Please provide a deep explanation with examples so I can understand and learn, thank you
Answers
Since the package of 500 sheets has dimensions of
[tex]216\times279\times45[/tex]Since 7000 sheets will need to be put in
[tex]\frac{7000}{500}=14[/tex]14 similar package
Since the dimensions of the case are
[tex]216\times279\times270[/tex]The length and the width of the package are the same as the length and the width of the case
Then we will use the heights of them to find how many package we can put in the case
[tex]\frac{270}{45}=6[/tex]That means we can fill the case with 6 packages
Since we have 14 packages, then we will need 6 + 6 + 2
3 cases 2 full and one has 2 packages only
the table shows the number of incorrect answers given by nine students on a standardized test which of the following measures would make the number of missed questions appear as a small as possible
Answers
Let's take them one after the other
To calculate the mean:
Mean = 4 +20+ 5 +10+ 21+ 18 +10+ 11+ 16 / 9
Mean= 115/9= 12.7
To calculate the median;
Median: position (n+1)/2=(9+1)/2=5
This implies it is the fiifth value after ordering them from least to gratest
4, 5, 10, 10, 11, 16, 18, 20, 21
The fifth observation is 11, that's the median
Calculate the range;
Range = highest - lowest = 21 - 4 = 17
Mode = bi modal = 10
The answer is the Mode which is 10
The correct option is the last option : Mode
please help need answer asap
Answers
Answer:
x = 34 degrees, y = 73
Step-by-step explanation:
Since the triangle is isosceles, the base angles are congruent (equal). First, find the supplement angle by doing 180-107, which gives you 73 for the base angles, which include y. Now there is a theorem that states the 2 remote interior angles are equivalent to the exterior angle, which means 107 = 73 + x. This gives us x = 34
I hope this helps!
Use the same process for the second one.
A translation 6 units right maps P onto P'. Complete the translation function.
Answers
If we have a point P=(x,y) and we apply a translation 6 units to the right we will get a point P' that is:
[tex](x,y)\longrightarrow(x+6,y)[/tex]We can test it by trying with P=(0,0).
Then P' would be (6,0), that is 6 units to the right from P.
Answer: (x,y) --> (x+6,y)
The circle has center O. Its radius is 4 cm, and the central angle a measures 30°. What is the area of the shaded region?Give the exact answer in terms of pi, and be sure to include the correct unit in your answer
Answers
Explanation
The area of a portion of a circle with radius 'r' and central angle 'a' in radians is:
[tex]A_{\text{portion}}=\frac{1}{2}\cdot r^2\cdot a[/tex]In this problem, the radius is r = 4cm, and the angle a = 30º.
First we have to express the angle in radians:
[tex]a=30º\cdot\frac{\pi}{180º}=\frac{1}{6}\pi[/tex]And now we can find the area of the shaded region:
[tex]\begin{gathered} A=\frac{1}{2}\cdot(4\operatorname{cm})^2\cdot\frac{1}{6}\pi \\ A=\frac{1}{2}\cdot16\operatorname{cm}^{2}\cdot\frac{1}{6}\pi=\frac{4}{3}\pi \end{gathered}[/tex]Answer
The area of the shaded region is:
[tex]A=\frac{4}{3}\pi cm^{2}[/tex]What is the solution to the following equation?x^2+3x−7=0
Answers
Answer:
Explanation:
Given the equation:
[tex]x^2+3x-7=0[/tex]On observation, the equation cannot be factorized, so we make use of the quadratic formula.
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Comparing with the form ax²+bx+c=0: a=1, b=3, c=-7
Substitute these values into the formula.
[tex]x=\dfrac{-3\pm\sqrt[]{3^2-4(1)(-7)}}{2\times1}[/tex]We then simplify and solve for x.
[tex]undefined[/tex]
the running trail in the local park is 3.826 miles long. If the park board were planning to extend the trail by 2.46 miles, what would the new length of the running trail be?
Answers
The running trail is 3.826 miles long. If we add 2.46 miles, the new length will be:
[tex]3.826miles+2.46\text{ miles}[/tex]which gives 6.286 miles. Then, the new lenght will be 6.286 miles long.
A string that is 10 1/2 feet long is cut into 3 equal pieces. How long is each piece?
Answers
Answer:
3½
Step-by-step explanation:
10½=21/2
since it is cut into 3 pieces we can as well said it is divided into 3
21/2 divide 3
21/2 / 3/1
21/2 ×1/3
=7/2
=3½
please rate as brainliest
Answer:
The answer is 3.5
Step-by-step explanation:
Why?
Because since we know we have to divide the measurement of the string with the amount of pieces which will be
= 10 1/2 divided by 3
How long is each piece= 3.5
So that means each piece is 3.5
Hope this answers your question!
Graph the line y = 5x – 1, then name the slope and y-intercept by looking at the graph.
Answers
Answer:
m = 5
y-intercept = (0, -1)
Step-by-step explanation:
y = mx + b
y = 5x - 1
m = 5
y-intercept = b = (0, -1)
Point 1: (0, -1)
Point 2: (1, 4)
Point 3: (-1, -6)
I hope this helps!
Suppose you are in a restaurant and the menu is as follows: 5 beverages, 11 appetizers, 9 main courses, and 3 desserts. Impose the condition that exactly one choice must be made from each category. How many
distinguishable meals can be created?
Answers
Answer:
1485
Step-by-step explanation:
The answer is found by multiplying how many of each of the categories there are;
5 × 11 × 9 × 3 = 1485
For each equation in the table, give the slope of the graph.
Answers
y=-6 is 0 or m = 0
y=-6x is -6 or m = -6
Answer:
1. undefined
2. 0
3. -6
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept.
Since the equation x = -6 is a vertical line, the slope is undefined.
Since y = -6 is a horizontal line, the slope is 0.
The slope of y = -6x is -6. This is because it is the coefficient of the variable x.
Find the distance between the two points.(-3,2)10,0)✓ [?]Enter the number thatgoes beneath theradical symbolEnter
Answers
The distance between two points on a coordinate grid can be calculated as follows;
[tex]\begin{gathered} d^2=(x_2-x_1)^2+(y_2-y_1)^2 \\ \text{The given points are} \\ (-3,2) \\ (0,0) \\ d^2=(0-\lbrack-3\rbrack)^2+(0-2)^2 \\ d^2=(0+3)^2+(-2)^2 \\ d^2=3^2+(-2)^2 \\ d^2=9+4 \\ d^2=13 \\ d=\sqrt[]{13} \end{gathered}[/tex]The number that goes beneath the radical symbol is 13, that means the answer is square root 13.
Solve the problems. Simon is organizing his 36 toy cars into equal-sized piles. Which list shows all of the possible numbers of cars that could be in each pile? A 2. 3,4,6 B 1, 2, 3, 4,6 C 2, 3, 4, 6, 9, 12, 18 D 1, 2, 3, 4, 6, 9, 12, 18, 36
Answers
Consider that the total available toy cars is 36.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
So Simon can make 1 pile of 36 toy cars, 2 piles of 18 cars each, 3 piles of 12 cars each, 4 piles of 9 cars each, 6 piles of 6 cars each, 9 piles of 4 cars each, 12 piles of 3 cars each, 18 piles of 2 cars each, and 36 piles of 1 car each.
Thus, the possible number of cars that could be in each pile are 1,2, 3, 4, 6, 9, 12, 18, 36.
Therefore, option D is the correct choice.
Solve 2x - 8 < 7...........................................................................
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
2x - 8 < 7
Step 02:
inequality:
2x - 8 < 7
2x - 8 + 8 < 7 + 8
2x / 2 < 15 / 2
x < 15 / 2
The answer is:
x < 15 / 2
(-oo , 15/2)
Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA. 3x2−5x+1=0 Enter the exact answers.
Answers
The given quadratic equation is,
[tex]3x^2-5x+1=0[/tex]let us use the formula,
[tex]\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]where,
[tex]\begin{gathered} a=3 \\ b=-5 \\ c=1 \end{gathered}[/tex]subistute the values in the formula,
[tex]\begin{gathered} =\frac{-(-5)\pm\sqrt[]{(-5)^2-4\times3\times1}}{2\times3} \\ =\frac{5\pm\sqrt[]{25-12}}{6} \\ =\frac{5\pm\sqrt[]{13}}{6} \\ x=\frac{5+\sqrt[]{13}}{6},x=\frac{5-\sqrt[]{13}}{6} \end{gathered}[/tex]The roots of the quadratic equation are ,
[tex]x=\frac{5+\sqrt[]{13}}{6},x=\frac{5-\sqrt[]{13}}{6}[/tex]What is the missing number 100 -11- missing number -12=9
Answers
Answer:
68
Step-by-step explanation:
100-68-12-11=9
12+11=23
100-23-9=68
QUESTION 241 POINTFor a rectangular solid with length 14 feet, height 17 feet, and width 6 feet, find the a. volume and b. surface area.Provide your answer below:volume =cubic feet, surface areasquare feetFEE
Answers
The volume and surface area of a rectangular prism are given by the formulas below
[tex]\begin{gathered} V=l*b*h \\ A=2(lb+bh+hl) \\ l\rightarrow\text{ length} \\ w\rightarrow width \\ h\rightarrow\text{ height} \end{gathered}[/tex]In our case,
[tex]\begin{gathered} l=14,w=6,h=17 \\ \Rightarrow V=14*6*17=1428 \\ and \\ A=2(14*6+6*17+17*14)=848 \end{gathered}[/tex]Thus, the answers are: Surface area=848ft^2, and Volume=1428ft^3
You are selling drinks at the carnival to raise money for your club. You sell lemonadefor $6 for 2 cups and orange drinks for $9 for 3 cups. Your sales totaled $240. Let xbe the number of cups of lemonade and y be the number of orange drinks. Write anyequation in standard form for the relationship above.
Answers
Let x be the number of cups of lemonade sold, and y the number of cups of orange drinks sold, then we can set the following equation:
[tex]6(\frac{x}{2})+9(\frac{y}{3})=240.[/tex]Now, recall that the standard form of a linear equation is:
[tex]Ax+By=C,[/tex]Where, A≥0, B and C are integers.
Simplifying the first equation, we get:
[tex]3x+3y=240.[/tex]Answer:
[tex]3x+3y=240.[/tex]Mark the drawing to show the given information and complete each congruence statement.∆acd=∆_____by______
Answers
the triangle is ACD is equal to the triangle CBE so let write all the information we have in the figure so:
And for oposit angles we know that then angle BCE = to the angle ACD, so we have two angles and ine side equal so the triangles are similar
by: ASA
Can you help me resolve this using the quadratic formula?
Answers
a) Time taken to hit the ground = 1.674 seconds
b) Height at 1 second = 12 m
Explanation:The equation representing the height of the water balloon after t seconds is:
[tex]h(t)=-16t^2+25t+3[/tex]a) At the ground, h(t) = 0
[tex]\begin{gathered} 0=-16t^2+25t+3 \\ \\ 16t^2-25t-3=0 \\ \\ Using\text{ the quadratic formula} \\ t=\frac{-(-25)\pm\sqrt{(-25)^2-4(16)(-3)}}{2(16)} \\ \\ t=\frac{25\pm\sqrt{817}}{32} \\ \\ t=-0.111975,\text{ 1.67448} \end{gathered}[/tex]Since time cannot be negative:
Time taken to hit the ground = 1.674 seconds
b) Height at t = 1 second
[tex]\begin{gathered} H(t)=-16t^2+25t+3 \\ \\ H(1)=-16(1^2)+25(1)+3 \\ \\ H(1)=-16+25+3 \\ \\ H(1)=12\text{ m} \end{gathered}[/tex]Height at 1 second = 12 m
-12 -24 4bI need help can someone help .
Answers
To eliminate the coefficient divide each side by 3
Now solve the two step equation
3g - 5 = 17
3g = 17 + 5 = 22
then g= 22/3
Now solve 9 = 4a + 13
9 -13 = 4a
-4 = 4a then -1= a
a= -1
determine values of the variables that will make the following equation true, if possible. if not, state “not possible”
Answers
Given:
[tex]4\begin{bmatrix}{-r} & & {} \\ {-s} & {} & {} \\ & {} & {}\end{bmatrix}-\begin{bmatrix}{-2r} & & \\ {-2s} & {} & \\ {-2t} & {} & {}\end{bmatrix}=\begin{bmatrix}{-3} & & \\ {-1} & {} & {} \\ {5} & & {}\end{bmatrix}[/tex]As the first matrix has 2 rows and 1 column. And the second matrix has 3 rows and 1 column.
The dimension of both the matrix is not the same.
For the subtraction of two matrices must have the same size.
So, we can not determine the values of variables.
Answer: not possible.
I need help on a problem
Answers
As shown in the figure:
AB || CD
AD || CB
We need to prove AB = CD
So, the proof will be as follows:
Statements Reasons
0. AB || CD Given
,1. m∠BAC = m∠DCA Alternate angles are congruent
,2. AD || CB Given
,3. m∠BCA = m∠DAC Alternate angles are congruent
,4. AC = CA Reflexive property
,5. ΔBAC ≅ ΔDCA By A.S.A [angle-side-angle] postulate
,6. AB ≅ CD CPCTC
Which set of equations can be solved using the matrix equation:this is an online homework assignment I need help on for pre calculus
Answers
The given matrix equation is:
[tex]\begin{pmatrix}4 & -1 \\ -2 & -1\end{pmatrix}\begin{pmatrix}x \\ y\end{pmatrix}=\begin{pmatrix}-5 \\ -3\end{pmatrix}[/tex]To get the required equations, we will have to carry out the matrix multiplication, thus we have:
[tex]\begin{gathered} (4\times x)+(-1\times y)=-5 \\ (-2\times x)+(-1\times y)=-3 \end{gathered}[/tex][tex]\begin{gathered} 4x-y=-5 \\ -2x-y=-3 \end{gathered}[/tex]Hence, the correct option is option D
