PLEASE HELP!!!!! I really really really really really need help with this math problem can someome help me please its has to be done in 20 mins!!!!!!!! PLEASE HELP!!!
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A) To do that we will draw a line inside the triangle that is perpendicular to the base as I have don above.
B) We will also do the same for B
Related Questions
what is the degree of the polynomial5z^3-2z^4-9z^2+z
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The degree of a polynomial is the highest power in the inividual terms
Hence the degree of this polynomial is 4
y-(-4)= x-(-5)what is y
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Find a.Round to the nearest tenth:2 cmс1501050a=a = [ ? ]cmLaw of Sines: sin A=sin Bb=sin Cсa
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In the given triangle ABC ,
Sum of the angles of of a triangle is 180 degrees.
Therefore,
[tex]\begin{gathered} \angle A\text{ + }\angle B\text{ + }\angle C\text{ = 180} \\ \angle A\text{ + 105 + 15 = 180} \\ \angle A=\text{ 180 - 120} \\ \angle A\text{ = 60} \end{gathered}[/tex]By using sine rule,
[tex]\frac{a}{\sin A}\text{ = }\frac{b}{\sin B}[/tex]Substituting the given values in the given equation,
[tex]\begin{gathered} \frac{a}{\sin60}\text{ = }\frac{2}{\sin 105} \\ a\text{ = }\frac{2\sin 60}{\sin 105} \\ a\text{ = 1.7931 } \\ a\text{ }\approx\text{ 1.8 }cm \end{gathered}[/tex]Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x))f(x) = 2x2 + 16g(x) = /5x^3
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Given the functions
[tex]\begin{gathered} f(x)=2x^2+16 \\ g(x)=\sqrt[]{5x^3} \end{gathered}[/tex]First, we get the composite function
[tex]f(g(x))=f(\sqrt[]{5x^3})[/tex]To get f(√5x³), we will substitute x in f(x) with √5x³ as shown:
[tex]f(g(x))=2(\sqrt[]{5x^3})^2+16[/tex]The square root and power 2 cancel each other
[tex]\begin{gathered} f(g(x))=2(5x^3)+16 \\ \text{Simplify} \\ f(g(x))=10x^3+16 \end{gathered}[/tex]Answer:
[tex]f(g(x))=10x^3+16[/tex]9) At Go and Shop, apples cost $3 each and oranges cost $2.50 each. Maggie bought three times as manyapples as she did oranges. If her total was $46, how many of each fruit did she buy?
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We have:
Let x = number of apples
Let y = number of oranges
Maggie bought three times as many apples as she did oranges, this is:
x = 3y
$3 each apple
$2.50 each orange
Total cost $46
Then, we have the expression:
[tex]3x+2.50y=46[/tex]Next, solve the system of equations:
we replace x = 3y in the second equation
[tex]3(3y)+2.50y=46[/tex]And solve for y
[tex]\begin{gathered} 9y+2.50y=46 \\ 11.5y=46 \\ \frac{11.5y}{11.5}=\frac{46}{11.5} \\ y=4 \end{gathered}[/tex]Therefore, x is:
[tex]undefined[/tex]TS and TV are tangent to circle P. What is the value of x?
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tangent = tangent
x^2-1 = 24
Add 1 to each side
x^2 -1 +1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
x cannot be negative, because distances cannot be negative
Find the measures of angles `CFE` and `DEF.` Explain or show your answer.
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We can put a circle on quadrangle only if :
So,
Can you help me understand how to do this please?
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The given equation is
- 26 = 2(u - 7) - 8u
The first step is to expand the parentheses on the right side of the equation by multiplying the terms inside by the term outside. We have
- 26 = 2u - 14 - 8u
The next step is to collect like terms. The terms containing u will be on one side of the equation while the constant terms would be on the other side.
By adding 14 to both sides of the equation, we have
- 26 + 14 = 2u - 14 + 14 - 8u
- 12 = 2u - 8u
- 12 = - 6u
- 6u = - 12
Dividing both sides of the equation by - 6, we have
- 6u/- 6 = - 12/- 6
u = 2
3) Select all ratios that are equivalent to 4:5 A. 2: 2.5 B. 2:3 C. 3: 3.75 D. 7:8 E. 8:10 F. 14: 27.5
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For two ratios to be equivalent, its means and extremes if multiplied must be equal to each other.
[tex]\begin{gathered} \frac{a}{b}=\frac{c}{d} \\ ad=bc \end{gathered}[/tex]Let's start with Option A.
[tex]\begin{gathered} \frac{4}{5}=\frac{2}{2.5} \\ 4\times2.5=2\times5 \\ 10=10 \end{gathered}[/tex]Since they are equal, then Option A is equivalent to 4/5.
Let's check Option B.
[tex]\begin{gathered} \frac{4}{5}=\frac{2}{3} \\ 4\times3=2\times5 \\ 12\ne10 \end{gathered}[/tex]Let's check Option C.
[tex]\begin{gathered} \frac{4}{5}=\frac{3}{3.75} \\ 4\times3.75=5\times3 \\ 15=15 \end{gathered}[/tex]Let's check Option D.
[tex]\begin{gathered} \frac{4}{5}=\frac{7}{8} \\ 4\times8=5\times7 \\ 32\ne35 \end{gathered}[/tex]Let's check Option E.
[tex]\begin{gathered} \frac{4}{5}=\frac{8}{10} \\ 4\times10=5\times8 \\ 40=40 \end{gathered}[/tex]FInally, let's check Option F.
[tex]\begin{gathered} \frac{4}{5}=\frac{14}{27.5} \\ 4\times27.5=5\times14 \\ 110\ne70 \end{gathered}[/tex]Hence, only Option A, Option C, and Option E are equivalent to ratio 4/5.
PLEASE HELP ME
Describe the transformation that was performed on parallelogram EFGH to create parallelogram E’F’G’H’. Show or explain how you got your answer.
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The transformation of (x,y) from EFGH to E'F'G'H' is (x + 4, y - 2).
We can see that the coordinates of E are (3,6) and the coordinates of E' are (7,4)
Hence, we can see that,
x coordinate is increased by 3 and y-coordinate is decreased by 2.
Also, the coordinates of F are (5,6) and the coordinates of F' are (9,4).
Here also, x coordinate is increased by 3 and y-coordinate is decreased by 2.
This is happening in all vertices of the parallelogram.
Hence,
The transformation of (x,y) from EFGH to E'F'G'H' is (x + 4, y - 2).
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Francis went on a business trip to Minneapolis, Minnesota, and stayed at a hotel for one night at a rate of $150, plus tax. The state of Minnesota has a general sales tax rate of 6.875%, and the city of Minneapolis has a general sales tax rate of 0.5%. In addition, Hennepin County, where Minneapolis is located, has a 0.25% sales tax for transit improvement and a 0.15% sales tax to finance a baseball stadium. Not only that, but there is an additional lodging tax in Minneapolis of 3%. Help Francis determine his total bill at the hotel. Round all your answers to the nearest cent. How much money was Francis charged by the state of Minnesota at its general sales tax rate?How much money was Francis charged by the city of Minneapolis at its general sales tax rate? How much money was Francis charged by Hennepin County for transit improvement? How much money was Francis charged by Hennepin County to help finance a baseball stadium?
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Francis went on a business trip to Minneapolis, Minnesota, and stayed at a hotel for one night at a rate of $150, plus tax. The state of Minnesota has a general sales tax rate of 6.875%, and the city of Minneapolis has a general sales tax rate of 0.5%. In addition, Hennepin County, where Minneapolis is located, has a 0.25% sales tax for transit improvement and a 0.15% sales tax to finance a baseball stadium. Not only that, but there is an additional lodging tax in Minneapolis of 3%. Help Francis determine his total bill at the hotel. Round all your answers to the nearest cent.
How much money was Francis charged by the state of Minnesota at its general sales tax rate?
How much money was Francis charged by the city of Minneapolis at its general sales tax rate?
How much money was Francis charged by Hennepin County for transit improvement?
How much money was Francis charged by Hennepin County to help finance a baseball stadium?
part 1How much money was Francis charged by the state of Minnesota at its general sales tax rate?
we have that
the sales tax rate is 6.875%
6.875%=6.875/100=0.06875
Multiply by $150
150(0.06875)=$10.31
part 2How much money was Francis charged by the city of Minneapolis at its general sales tax rate?
the sales tax rate is 0.5%
0.5=0.5/100=0.005
Multiply by $150
150(0.005)=$0.75
part 3How much money was Francis charged by Hennepin County for transit improvement?
sales tax is 0.25%
0.25/100=0.0025
150(0.0025)=$0.38
part 4How much money was Francis charged by Hennepin County to help finance a baseball stadium?
the sales tax is 0.15%
0.15/100=0.0015
150(0.0015)=$0.23
part 5additional lodging tax in Minneapolis of 3%
3/100=0.03
150(0.03)=$4.5
part 6
the total bill is equal to
150+10.31+0.75+0.38+0.23+4.5=$166.17
the total bill is $166.17In a game, a spinner with 8 equally sized sections numbered 1 to 8 is spun and a die is tossed. What is the probability of landing on an odd number on the spinner and rolling aneven number on the die?
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ANSWER
1/4
EXPLANATION
The spinner has 8 equally sized sections numbered 1 to 8.
The die has 6 faces.
On the spinner there are 4 sections with odd numbers and 4 sections with even numbers.
On a die, there are 3 faces with even numbers and 3 faces with odd numbers.
To find the probability of both events occuring, we need to find their individual probabilities and then multiply them together.
The probability of landing on an odd number on the spinner is:
4/8 i.e. 1/2
The probability of rolling an even number on the die is:
3/6 i.e. 1/2
Therefore, the probability of landing on an odd number on the spinner and rolling an even number on the die is:
[tex]\begin{gathered} \frac{1}{2}\cdot\text{ }\frac{1}{2} \\ \text{= }\frac{1}{4} \end{gathered}[/tex]which of the following values are solutions to the inequality -6<-7-4x?1. 12. -83. 5or none
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The Solution:
Given:
Required:
Find f(2):
[tex]\begin{gathered} f(2)=\sqrt{[(-5\times2)+14]}=\sqrt{-10+14}=\sqrt{4}=2 \\ \\ f(2)=2 \end{gathered}[/tex]Find g(-5):
[tex]\begin{gathered} g(-5)=\frac{-5}{(-5)^2-7}=\frac{-5}{25-7}=-\frac{5}{18} \\ \\ g(-5)=-\frac{5}{18} \end{gathered}[/tex]Find h(-1/2):
[tex]\begin{gathered} h(-\frac{1}{2})=|6(-\frac{1}{2})|-9=|-3|-9=3-9=-6 \\ \\ h(-\frac{1}{2})=-6 \end{gathered}[/tex]Answer:
f(2) =
[tex]-6<-7-4x[/tex]now we can solve the inequalty for x by passing the -7 to the other side:
[tex]\begin{gathered} 7-6<-4x \\ 1<-4x \end{gathered}[/tex]Now to change the sign of the -4x we have to invert the inequality:
[tex]\begin{gathered} -1>4x \\ \frac{-1}{4}>x \end{gathered}[/tex]so the only solution is -8 and we can prove it:
[tex]-6<-7-4(-8)[/tex]Describe the net of a rectangular prism with a length of 12 centimeters a width of 9 centimeters and height of 5.
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There would be a line of 4 rectangles, and 2 rectangles on the top and bottom of the second one. The first and third rectangles would have a width of 12, and the first and fourth would have a width of 9.
The rectangles on the top and bottom would also have a width of 9. The 4 rectangles would have a height of 5, and the 2 rectangles on the top and bottom would have a height of 12.
In this figure, the curve y= 3x+2-2x^2 cuts the x-axis at two points A and B, and the y-axis at the point C. Find the coordinates of A, B and C
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To find the x-coordinates of A and B, find the zeroes of the equation (set y=0 and solve for x).
[tex]y=3x+2-2x^2[/tex]If y=0 then:
[tex]0=3x+2-2x^2[/tex]Writing this quadratic equation in standard form, we get:
[tex]2x^2-3x-2=0[/tex]Use the quadratic formula to find the solutions for x:
[tex]\begin{gathered} \Rightarrow x=\frac{-(-3)\pm\sqrt[]{(-3)^2-4(2)(-2)}}{2(2)} \\ =\frac{3\pm\sqrt[]{9+16}}{4} \\ =\frac{3\pm\sqrt[]{25}}{4} \\ =\frac{3\pm5}{4} \\ \Rightarrow x_1=\frac{3+5}{4}=\frac{8}{4}=2 \\ \Rightarrow x_2=\frac{3-5}{4}=\frac{-2}{4}=-\frac{1}{2} \end{gathered}[/tex]Then, the x-coordinate of A is -1/2, and the x-coordinate of B is 2. Both the y-coordinate of A and B are 0.
On the other hand, to find the y-coordinate of C, which is the point where the graph crosses the Y-axis, replace x=0:
[tex]\begin{gathered} y=3(0)+2-2(0)^2 \\ =2 \end{gathered}[/tex]Therefore, the coordinates of A, B and C are:
[tex]\begin{gathered} A(-\frac{1}{2},0) \\ B(2,0) \\ C(0,2) \end{gathered}[/tex]
i need to solve c pls help were working on on srthemic sequence formula sn=n/2(u1+un)
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Answer: 78,800
The formula is given as
Sn = n/2(u1 + Un)
Let n = 16
u1 = first term
Un = Last term
According to the table given
U1 = 6800
U16 = 3050
S16 = 16/2( u1 + u16)
S16 = 16/2(6800 + 3050)
Firstly, solve the expression inside the parenthesis
S16 = 16/2 (9850)
S16 = 8 x 9850
S16 = 78,800
The answer is 78,800
Football game admission is $2.00 for general admission and $6.50 for reserved seats . The receipts were $3953.00 for 1297 paid admissions .How many of each ticket were sold? (round to the nearest intergar if necessary .) ___ general admission tickets sold .____reserved seating tickets sold.
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Let x represent the number of general admission tickets sold.
Let y represent the number of reserved seating tickets sold.
We were told that general admission ticket costs $2 each and reserved seating ticket costs $6.50 each. This means that the cost of x general admission tickets and y reserved seating tickets would be
2x + 6.5y
The total amount received was $3953. It means that
2x + 6.5y = 3953
Also, the total number of tickets sold was 1297. It means that
x + y = 1297
x = 1297 - y
Substituting x = 1297 - y into 2x + 6.5y = 3953, it becomes
2(1297 - y) + 6.5y = 3953
2594 - 2y + 6.5y = 3953
- 2y + 6.5y = 3953 - 2594
4.5y = 1360
y = 1360/4.5
y = 302.22
Rounding to the nearest integer,
y = 302
x = 1297 - y = 1297 - 302
x = 995
995 general admission tickets were sold .
302 reserved seating tickets were sold
On the coordinate plane, rectangle WXYZ has vertices W(–
3,–
7), X(3,2), Y(6,0), and Z(0,–
9).
What is the area of rectangle WXYZ? If necessary, round your answer to the nearest tenth.
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The area of rectangle WXYZ is 39 units sq.
What is the distance between two points?Distance between two points is the length of the line segment that connects the two given points and is find by formula
√ (x2 -x1)² + (y2-y1)²
Given that, On the coordinate plane, rectangle WXYZ has vertices W(-3,-7), X(3,2), Y(6,0), and Z(0,-9).
In the given rectangle, WX = YZ
Area of rectangle = length*width
Here, length = XY and width = WX
XY = √(6-3)²+(0-2)² = √13 units
WX = √(3+3)²+(2+7)² = √117 units
Area = XY*WX = √13*√117 = 39 units sq.
Hence, the area of rectangle WXYZ is 39 units sq.
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write the function value in term of the cofunction of a complementary angle .
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Answer:
Explanations:
Note that the secant and cosecant functions are cofunctions and are also complements.
Therefore, they are related mathematically as:
csc x = sec ( 90° - x)
x = 64°
csc 64° = sec (90° - 64°)
csc 64° = sec 26
2 step equations solve each equation. Show yourselves steps -18=6a-6x/-3 + 11 =233+2v=1116=k/3 - 11 -6g -12 = -602a+5-5a+1 combine like terms m-4+3m-2 combine like terms
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In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
-18=6a-6
a = ?
Step 02:
-18 = 6a - 6
-18 + 6 = 6a
- 12 = 6a
-12 / 6 = a
- 2 = a
The answer is:
a = - 2
Which of the following illustratesthe associative property ofmultiplication?Enter a, b, c, d, or e.(a + b)(cd) =a. acd + bcdb. (b + a)(cd)c. (ac + bc)d d. [(a + b)c]de. (cd)(a + b)
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The associative property of multiplication states that
[tex](a\cdot b)\cdot c=a\cdot(b\cdot c)[/tex]Given that (a+b)(cd), then its associative counterpart is
[tex](a+b)\mleft(cd\mright)=\lbrack(a+b)c\rbrack d[/tex]Consider the following data:x-2-1 0 1P(X=x) 0.10.10.20.2Step 4 of 5: Find the value of P(X < 2). Round your answer to one decimal place.20.4
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STEP - BY - STEP EXPLANATION
What to find?
P(X < 2)
Given:
[tex]P(X<2)=P(X=-2)+P(X=-1)+P(X=0)+P(X=1)[/tex]From the given table;
P(X=-2) = 0.1
P(X=-1)=0.1
P(X=0)=0.2
P(X=1)=0.2
Substitute the values into the formula above and simplify.
[tex]P(X<2)=0.1+0.1+0.2+0.2[/tex][tex]=0.6[/tex]Hence, P(X < 2)=0.6
ANSWER
0.6
Write a quadratic equation in factored form if it has x-intercepts 2 and -1 and y-intercept 6.
Answers
We have to write a quadratic equation, in factored form, that has an x-intercept at x=2 and x=-1, and a y-intercept 6.
As the x-intercepts are the roots of the function, we can write the equation as:
[tex]y=a(x-2)(x+1)[/tex]The parameter a will be defined in order to have a y-intercept at y=6. That means that, when x is 0, the value of the function is y=6.
Then, we can replace x with 0 and y with 6 and find the value of a:
[tex]\begin{gathered} y=a(x-2)(x+1) \\ 6=a(0-2)(0+1) \\ 6=a(-2)(1) \\ 6=-2a \\ a=\frac{6}{-2} \\ a=-3 \end{gathered}[/tex]With the value of a=-3, we can write the factorized form of the equation as:
[tex]y=-3(x-2)(x+1)[/tex]Graph:
Answer: y=-3(x-2)(x+1)
In Mr. Senter's classroom, 2/3 of the students play sudoku. Of the students who play sudoku, 3/8 also play chess. If there are 24 students in his class, how many play sudoku and chess?how did she get 9
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The number of students given are 24.
The students who play sudoku is,
[tex]\frac{2}{3}\times24=16.[/tex]Out of the students who play sudoku , the students who play chess are
[tex]16\times\frac{3}{8}=6.[/tex]Therefore the students who play sudoku are 16 and play chess are 6.
The number of students who play both chess and sudoku is,
[tex]\text{ n}(C\cup S)=n(C)+n(S)-n(C\cap S)[/tex]Substitute the values,
[tex]24=16+6-n(C\cap S)[/tex][tex]n(C\cap S)=24-22[/tex][tex]n(C\cap S)=2.[/tex]Thus , the number of students who play both chess and sudoku is, 2.
The landscaper recommended a mix of 3 pounds of rye grass seed with 44 pound of blue grass.seed. If the lawn needs 544 pounds of rye grass seed; how many pounds of blue grass seed would that be?
Answers
Let's use a rule of three:
Therefore,
[tex]\begin{gathered} x=\frac{544\cdot44}{3} \\ \Rightarrow x=7978.67 \end{gathered}[/tex]We would neeed 7978.67 lb of blue grass seed.
7. Consider the line below.A. Find two points on this line with whole number coordinates.B. Find an equation for this line in point slope form.C. Find the equation for this line in slope intercept form. Be sure to show your work-550-5
Answers
Let take the x-intercept and the y-intercept.
• From the graph, the x-intercept (x-axis cutting point) is >>>
[tex](x_1,y_1)=(1,0)[/tex]• The y-intercept (y-axis cutting point) is >>>
[tex](x_2,y_2)=(0,-1)[/tex]Now, let's find the point slope and slope intercept form of the line.
B.Point Slope Form
[tex]y-y_1=m(x-x_1)[/tex]Where m is given by the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]So, let's substitute the the points and find the point slope form:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-0=\frac{-1-0}{0-1}(x-1) \\ y-0=\frac{-1}{-1}(x-1) \\ y-0=1(x-1) \end{gathered}[/tex]Thus, the point-slope form is
[tex]y-0=1(x-1)[/tex]C.The slope intercept form is given by
[tex]y=mx+b[/tex]Where
m is the slope and b is the y-intercept
Just re-arranging the point slope form will give us the slope intercept form. Shown below:
[tex]\begin{gathered} y-0=1(x-1) \\ y=1(x-1) \\ y=x-1 \end{gathered}[/tex]The slope intercept form is
[tex]y=x-1[/tex]the equation 0 -b=-b is an example of which property
Answers
Recall that the identity property of addition states that:
[tex]0+x=x+0=x\text{.}[/tex]Answer: Third option.
What is the y-intercept of function f? f(x)={-3x-2, -infinity
Answers
======================================================
Explanation:
The y intercept always occurs when x = 0.
Visually this is where the function curve crosses or touches the vertical y axis.
The input x = 0 fits into the interval [tex]-2 \le \text{x} < 3[/tex] since [tex]-2 \le 0 < 3[/tex] is a true statement. This means we'll go for the second piece of the piecewise function.
Plug x = 0 into this middle piece to get...
f(x) = -x+1
f(0) = -0+1
f(0) = 1
I need help with this problem pleaseAfter number it says number of visits
Answers
The inequality: 2.5v + 20 ≥ 40
v ≥ 8
Explanation:Rewards for signing up = 20
let the number of visits = v
rate = 2.5 points per visit
Amount needed for a free movie ticket is atleast 40 points
Atleast 40 is reperesented as ≥ 40
Rewards for signing up + rate (number of visits) ≥ 40
20 + 2.5(v) ≥ 40
The inequality:
2.5v + 20 ≥ 40
Solving the inequality:
2.5v + 20 - 20 ≥ 40 - 20
2.5v ≥ 20
v ≥ 20/2.5
v ≥ 8
Use the following statement to answer parts a) and b). Two hundred raffle tickets are sold for $3 each. One prize of $1000 is to be awarded. Winners do not have their ticket costs of $3 refunded to them. Raul purchases one ticket.a) Determine his expected value.b) Determine the fair price of a ticket.
Answers
Fom the question, the following can be derived:
Ticket price = $3
Winning price = $1000
Probability of winning (Pwin) = (1/200)
Probability of not winning (Ploss) = [1 - (1/200)] = 199/200
The net income if Raul wins (Nwin) = $1000 - $3 = $997 (when there is no refund)
The net loss if Raul does not win (Nloss) = -$3
(a) We are to determine his expected value:
To determine his expected value, we using this:
(Pwin * Nwin) + (Ploss * Nloss)
((1/200) * 997) + ((199/200) * -3)
4.985 - 2.985 = 2
The expected value is 2.
(b) We are also to determine the fair price of a ticket
To get the fair price of a ticket, we will add the cost of ticket and the expected value:
Cost of ticket + Expected value
3 + 2 = 5
Therefore, the fair price of a ticket is 5.