Answers
Answer:
x = 57.22754579
Step-by-step explanation:
We know cos 63 = adjacent/ hypotenuse
cos 63 = 15 sqrt(3)/x
Multiply each side by x
x cos 63 =15 sqrt( 3 )
Divide each side by cos 63
x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)
x = 15 sqrt(3)/ cos 63
x = 57.22754579
Related Questions
PLEASE SHOW WORK
Solve using substitution
y=x+1
3x-y=9
Answers
y = x + 1 (*)
3x - y = 9 (**)
Substitute (*) to (**):
3x - (x + 1) = 9
3x - x - 1 = 9 add 1 to both sides
2x = 10 divide both sides by 2i
x = 5Put the value of x to (*):
y = 5 + 1
y = 6Answer: x = 5 and y= 6 → (5, 6).HELP 10PTS!! what is the value of x?
Answers
Answer:
68
Step-by-step explanation:
Since this is an isosceles triangle the bottom 2 angles are equal. So both bottom angles are 56 degrees. The three angles of a triangle add to 180 degrees.
56+ 56+ x = 180
Combine like terms
112 +x =180
Subtract 112 from each side
112-112+x = 180-112
x =68
add like terms: 180 = 112 + x. subtract 112 from both sides: 68 = x. and that's your answer.
Lina bought 22 boxes of crayons for $28.16 how much did she pay for each box of crayons
Answers
Cost per box = $1.28
The cost of each box of crayons can be calculated by dividing the total cost by the number of boxes purchased.
Total cost: $28.16
Number of boxes: 22
Cost per box = Total cost / Number of boxes
Cost per box = $28.16 / 22
=$1.28
Help with #27. Answer choices are
A. 2
B.5
C.3
D.4
Answers
Answer:
C
Step-by-step explanation:
Since GK bisects ∠FGH then ∠FGK = ∠KGH, hence
6v - 2 = 4v + 4 ( subtract 4v from both sides )
2v - 2 = 4 ( add 2 to both sides )
2v = 6 ( divide both sides by 2 )
v = 3 → C
Which of the following equations represents a degenerate ellipse?
Answers
Answer: [tex]\frac{x^2}{10} = -\frac{y^2}{18}[/tex]
Step-by-step explanation:
Since, The degenerate form of an ellipse is always a point.
Thus, the equation that shows only a point will be our answer.
Since [tex]9x^2 + 4y^2 = 1[/tex] is the equation of an ellipse,
Thus, It can not be a point.
[tex]\frac{x^2}{14} + \frac{y^2}{19} =2[/tex] is not a point ( because it is an equation of ellipse)
But, when we plot [tex]\frac{x^2}{10} = -\frac{y^2}{18}[/tex]
We get only a point (0,0).
Thus, equation, [tex]\frac{x^2}{10} = -\frac{y^2}{18}[/tex] shows only one point.
Therefore, it is a generated form of ellipse.
The equation representing a degenerate ellipse would have the sum of the distances from the foci to any point on the curve as a constant.
Explanation:An ellipse is a closed curve such that the sum of the distances from a point on the curve to the two foci is constant. So, the equation representing a degenerate ellipse would have the sum of the distances from the foci to any point on the curve as a constant. The correct equation is (b).
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ANSWER THIS PLEEEEEEEEEEEEEEEEEEAAAAAAAAAASSSSSSSSSSSSEEEEEEEEEEE. I BEEEEEEEEEEEEEEEEEEEEGGGGGGGGGG OF YOOOOOOOOOOOOOOUUUUUUUUUWhat is the slope-intercept form of the function that contains the points (6, 2) and (4, 8)?
Answers
Answer:
y = -3x+20
Step-by-step explanation:
First we will write the equation in point-slope form,
[tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point on the line.
We must find the slope. The formula for slope is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using our two points, we have
m = (8-2)/(4-6) = 6/-2 = -3
We will use the first point and this slope:
y-2 = -3(x-6)
Using the distributive property, we have
y-2 = -3(x)-3(-6)
y - 2 = -3x--18
y - 2 = -3x+18
Add 2 to each side:
y-2+2 = -3x+18+2
y = -3x+20
Answer the following questions showing all your work. You are trying to save up money by working in the summer. You have been able to secure two part time jobs. a. Your first job is to babysit a couple of times a week. You charge a flat fee of $10 for transportation back and forth to the house plus $5.50 per hour. Let t be the time in hours that you babysit. Write an algebraic expression to define the amount of money you will make for t hours of work. b. You also work at a local coffee shop in the mornings. You are paid $10 per hour. Write an algebraic expression to define the amount of money you will make for t hours of work. c. Write an algebraic expression for how much money will you will make for both jobs together.
Answers
First off, p= 5.5t + 10 for the babysitting job. Technically, that is all the work you can possibly have.
Secondly, p= 10h for the coffee shop job, with h being a separate amount of time than the variable t due to the fact that the are attributed to different jobs.
Lastly, p= 5.5t + 10h + 10 for both jobs during the entire day, with the hours worked being applied separately from each job.
Your welcome
What is the area of a parallelogram ABCD
Answers
Answer:
Area of a parallelogram would be 13.46
Step-by-step explanation:
Since area of a parallelogram is represented by the formula
Area = [tex]\frac{1}{2}[/tex] ([tex](D_{1}*D_{2})[/tex]
Where [tex]D_{1}[/tex] and [tex]D_{2}[/tex] are two diagonals of the given parallelograms.
In the given figure [tex]D_{1}=AC[/tex] and [tex]D_{2}[/tex] = BD
We will find the length of [tex]D_{1}[/tex] and [tex]D_{2}[/tex] first
Since points A and C are (3,6) and (5,1)
So distance AC = [tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]
= [tex]\sqrt{5^{2}+(-2)^{2}}[/tex]
= [tex]\sqrt{25+4}=\sqrt{29}[/tex]
Since B and D are the points (6, 5) and (2, 2)
So length of BD = [tex]\sqrt{(6-2)^{2}+(5-2)^{2}}[/tex]
BD = [tex]\sqrt{4^{2}+3^{2}}=\sqrt{25}=5[/tex]
Now we will put these values in the formula
Area of parallelogram = [tex]\frac{1}{2}(\sqrt{29})(5)[/tex]
= [tex]\frac{5}{2}[/tex] × [tex]\sqrt{29}[/tex]
= (2.5) (5.385)
= 13.46
Total blood cholesterol level was measured for each of
8 adults. Here are the 8
measurements (in mg/dL):
264, 191, 160, 148, 262, 212, 268, 246
Answers
Step-by-step explanation:
Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:
264, 191, 160, 148, 262, 212, 268, 246
In order to find the mean, we need to add all those 8 numbers and divide by 8.
Therefore, mean = [tex]\frac{264+191+160+148+262+212+268+246}{8} =\frac{1751}{8} =218.9.[/tex]
Mean = 218.9.In order to find the median, we need to arrange them in ascending order:
148, 160, 191, 212, 246, 262, 264, 268.
The middle most two values are 212 and 246.
Therefore, median = [tex]\frac{212+246}{2} =\frac{458}{2} = 229.[/tex]
Median = 229.[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]
[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]
[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]
[tex]\begin{pmatrix}148&160&191&212&246&262&264&268\\ 1&1&1&1&1&1&1&1\end{pmatrix}[/tex]
[tex]\mathrm{The\:most\:common\:element\:is\:not\:unique,\:so\:there\:is\:no\:mode}[/tex]
Therefore, Mode = Zero mode.using the order of operations. select true or false for 81 ÷ 9 + 2 = 11
Answers
Answer: true
Step-by-step explanation: Using the order of operations, 81 / 9 would be first, which is equal to 9. Then, add 2. 2+9 = 11, so the answer is true.
Since division goes before addition we first divide 81:9 and get 9 and to that we add 2 addition goes after division. 9+2 is equal to 11 so the answer is True.
A good way to remember it is:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Hope this helps! <3
One grain of sand approximately weighs 7 * 10^{-5} g. How many grains of sand are there in 6300 kg of sand? Give your answer in standard form.
Answers
Answer:
Proportion states that the two ratio or fractions are equal.
Given the statement: One grain of sand approximately weighs 7 * 10^{-5} g.
To find how many grains of sand are there in 6300 kg of sand.
Let x be the number of grains of sand in 6300 kg of sand.
Using conversion :
1 kg = 1000 g
6300 kg = 6300000 g
Then, by using proportion method, we have;
[tex]\frac{1}{7\times 10^{-5}}= \frac{x}{6300000}[/tex]
[tex]\frac{10^5}{7} = \frac{x}{6300000}[/tex]
By cross multiply we get;
[tex]6300000 \times 10^5 = 7x[/tex]
or
[tex]63 \times 10^5 \times 10^5 = 7x[/tex]
[tex]63 \times 10^{5+5} = 7x[/tex] [using [tex]x^a \cdot x^b = x^{a+b}[/tex]]
[tex]63 \times 10^{10} = 7x[/tex]
Divide both sides by 7 we get;
[tex]x = \frac{63 \times 10^{10}}{7} = 9 \times 10^{10}[/tex]
Standard form is a way of of writing down very large or very small numbers easily.
Therefore, [tex]9 \times 10^{10}[/tex] grains of sand are there in 6300 kg of sand.
which equation in slope-intercept from represents the line that passes through (-1, 5) and (5, 8)
y= 1/2 x -11
y=-1/2 x +11/2
y= 1/2 x +11/2
y= -1/2 x -11/2
Answers
Answer:
y= 1/2 x +11/2
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1)
= (8-5)/(5--1)
= 3/(5+1)
= 3/6
= 1/2
Using point slope form of a line
y-y1 = m(x-x1)
y-5 = 1/2(x--1)
y-5 = 1/2(x+1)
Distribute
y-5 = 1/2x +1/2
Add 5 to each side
y = 1/2x + 1/2 + 5
Change 5 to 10/2
y = 1/2x + 1/2 + 10/2
y = 1/2x + 11/2
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
To find the slope, you can use the slope formula and plug in the two points:
(-1,5) = (x₁ , y₁)
(5,8) = (x₂ , y₂)
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{8-5}{5-(-1)}[/tex]
[tex]m=\frac{8-5}{5+1} =\frac{3}{6} =\frac{1}{2}[/tex]
y = 1/2x + b
To find "b", plug in either of the points into the equation:
(5,8)
y = 1/2x + b
8 = 1/2(5) + b
8 = 5/2 + b Subtract 5/2 on both sides
8 - 5/2 = b Make the denominators the same in order to subtract them
16/2 - 5/2 = b
11/2 = b
[tex]y = \frac{1}{2}x+\frac{11}{2}[/tex]
The 3rd option is your answer
Jim drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?
Answers
Answer: 715 Miles
Step-by-step explanation:
Divide 605 miles by 11 hours, which would give you how far he travels in 1 hour. (605/11=55) Since they give you 13 hours, multiply 13 hours by 55 miles which gets you 715 miles :)
For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2
Answers
Answer:
x = 2
Step-by-step explanation:
check by substituting each given value of x into the function
x = 0 ⇒ y = [tex]\frac{3}{4}[/tex] × 0² = 0
hence (0, 0) is correct
x = 2 ⇒ y = [tex]\frac{3}{4}[/tex] × 4 = 3
hence (2, 4 ) is incorrect
x = 3 ⇒ y = [tex]\frac{3}{4}[/tex] × 9 = 6 [tex]\frac{3}{4}[/tex]
hence (3, 6 [tex]\frac{3}{4}[/tex]) is correct
x = 5 ⇒ y = [tex]\frac{3}{4}[/tex] × 25 = 18 [tex]\frac{3}{4}[/tex]
hence (5, 18 [tex]\frac{3}{4}[/tex]) is correct
how do you solve this?
Answers
Answer: To solve these types of questions what I always do is get a protractor if you have one and put it up against to where the dot is in the middle of the empty hole and then get a ruler or a pencil and make the line keep going to see what angle. In this case your answer is 65% I think.
100 POINTS!!!!!!!!!!!
The bottom one is < 1 and < 3
Answers
Answer:
B. <1 and <5
Step-by-step explanation:
they look exactly the same
Answer:
Correct answer is B. <1 and <5
Step-by-step explanation:
Complete the table to show how many yellow pencils there are if there are 5,7,9,11, or 13 blue pencils. How many of each type of pencil does shawna have if she has 55 pencils?
Answers
If there are 4 yellow pencils for each blue one, then this is the answer. If not then comment and tell me.
Blue Yellow
5 20
7 28
9 36
11 44
13 52
The required number of yellow and blue pencils are 44 and 11 respectively.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
As Shawan has 4 yellow pencils for every blue pencil,
Let the number of blue pencils be b,
Now,
Yellow pencil (y) = 4 × b
Now,
put b = 5,7,9,11, or 13
So y = 20, 28, 36, 44, or 52
Now,
b + y = 55
when b = 11 and y = 44 sums of the pencil would be 55.
Thus, the required number of yellow and blue pencils are 44 and 11 respectively.
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Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Answers
Answer:How much soy sauce does Bonnie mix with every 1 millimeter of vinegar is 1.5
How much vinegar does bonnie mix with 1 millimeter of soy sauce is .666
Step-by-step explanation: The first is 150 divided by 100 is 1.5
Quadrilateral ABCD is a parallelogram if its diagonals bisect each other. Prove that Quadrilateral ABCD is a parallelogram by finding the value of x.
A) x = 2
B) x = 3
C) x =- 9|2
D) x = -3|4
Information that goes with the picture:
AO = 5x + 2
BO = x − 1
CO = 3x − 7
DO = 3x + 8
Answers
Because this is a parallelogram, we know that the diagonals bisect. This means that AO = DO, and CO = BO
It doesn't matter which two segments we use, but I'm going to use CO = BO for this one.
3x - 7 = x - 1
2x = 6
x = 3
Option B. is the answer.
Answer: d
Step-by-step explanation:
solve the system of equations. use any method you'd like:
5x+6y=-14
x-2y=10
Answers
x -2y= 10
5x+6y=-14
(x-2y=10)3
5x+6y=-14
3x-6y= 30
8x. = 16
8. 8
x= 2
then you substitute that x value for the x in either equation.
2-2y=10
-2. -2
-2y=8
-2. -2
y=-4
(2,-4)
To solve the system of equations, isolate x in the second equation and substitute it into the first equation. Simplify the resulting equation and solve for y. Substitute this value of y back into the second equation to find the value of x.
Explanation:To solve the system of equations:
From the second equation, isolate x by adding 2y to both sides: x = 10 + 2y.Substitute this value of x into the first equation: 5(10 + 2y) + 6y = -14.Simplify the equation and solve for y:50 + 10y + 6y = -14
16y = -64
y = -4
Substitute this value of y back into the second equation to find x:
x - 2(-4) = 10
x + 8 = 10
x = 2
Therefore, the solution to the system of equations is x = 2 and y = -4.
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is -13/1 rational or irrational number
Answers
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be written as a fraction, (or is any real number, positive or negative) Irrational numbers, for example, are numbers that are decimals, but dont terminate or repeat. Such as [tex]\pi[/tex] and [tex] the square root of 2, 3 and 5. may i have brainliest?
Drag each expression to show whether it is equivalent to 36 + 9, 9(4 – 1), or (4 • 9) + (4 • 2).
Answers
Answer:
None of these are equivalent
Step-by-step explanation:
36 + 9 = 45
9(4 – 1) = 9* 3 = 27
(4 • 9) + (4 • 2) = 36+ 8 = 44
What is the value of y ?
Answers
Answer:the value of y is 44
Step-by-step explanation:
Can some please help and how to do it with the work shown.
Answers
(3x+7x-20) ÷ (x+4) can someone solve this?
Answers
Answer:
Alright well solve by dividing using polynomial division
10 - 60/x + 4 Hope this helps have a nice day :)
Step-by-step explanation:
The measures of the angles of triangle ABC are given by the expressions in the table
What are the measures of angles A and C
m/A = ? Degrees
m/C = ? Degrees
Answers
Answer:
[tex]m<A=125\°[/tex]
[tex]m<B=35\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
[tex]m<A+m<B+m<C=180\°[/tex]
substitute the values and solve for x
[tex](6x-1)\°+20\°+(x+14)\°=180\°[/tex]
[tex]7x=180\°-33\°[/tex]
[tex]7x=147\°[/tex]
[tex]x=147\°/7=21\°[/tex]
step 2
Find the measure of angle A
[tex]m<A=(6x-1)\°=6(21)-1=125\°[/tex]
step 3
Find the measure of angle C
[tex]m<C=(x+14)\°=21+14=35\°[/tex]
Will award brainiest to whoever answers and helps, I really need this ;;
Mathematics of personal finance:
Assume that the probability of a driver getting into an accident is 7.1%, the average cost of an accident is $14,886.05, and the overhead cost for an insurance company per insured driver is $110. What should the driver's insurance premium be?
A)$1156.43
B)$1242.93
C)$1276.27
D)$1165.49
Answers
Multiply the probability by the cost of the accident:
14,886.05 x 0.071 = 1056.91
Now add the overhead cost:
1056.91 + 110 = 1166.91
The closest answer to this is number D.
Answer:
D. $1165.49
Step-by-step explanation:
We have that the probability of a driver getting into an accident = 7.1% i.e. 0.071.
Now, the average cost of an accident = $14,886.05
Then, the expected cost of an accident = $14,886.05 × 0.071 = $1056.91
As, the overhead cost for insurance = $110
Therefore, the driver's insurance premium = $1056.91 + $110 = $1166.91
Since, the closest option to $1166.91 is option D.
Hence, the driver's insurance premium will be $1165.49.
Help with trig homework
A 6 m ladder is leaning against a wall. The base of the ladder is 1.5 m from the wall. Calculate how high up the wall the ladder reaches.
Answers
Answer:
height = 5.809
Step-by-step explanation:
l=6m
b=1.5m
l^2=b^2+h^2
36=2.25 +h^2
h^2 = 36 - 2.25
h=[tex]\sqrt{33.75}[/tex]
h = 5.809
write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Answers
Answer:
y = [tex]\frac{1}{2}x + \frac{29}{4}[/tex]
Step-by-step explanation:
First, we need to rearrange the equation to make it y = mx + c
4x - y = 3
y + 3 = 4x
y = 4x -3
So the slope of the line is 4.
The slope of a line perpendicular to an equation is:
[tex]\frac{-1}{gradient}[/tex]
So the slope of the perpendicular line is:
[tex]\frac{-1}{4}[/tex] = -0.25
Now to find the equation of a line you can use the following equation:
y - y₁ = m(x - x₁)
Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:
y₁ = 6
x₁ = -5
m = [tex]\frac{-1}{4}[/tex]
y - 6 = [tex]\frac{-1}{4}[/tex](x - - 5)
To get rid of the fraction we need to multiply the whole equation by 4:
4y - 24 = -1(x - - 5)
The two negatives cancel out:
4y - 24 = -1(x + 5)
Multiply the brackets out:
4y - 24 = -x + 5
Now, to rearrange the formula back into y = mx + c
Move the -24 over to the other side making it a +24:
4y = 2x + 5 + 24
4y = 2x + 29
Divide everything by 4:
y = [tex]\frac{2}{4}x + \frac{29}{4}[/tex]
y = [tex]\frac{1}{2}x + \frac{29}{4}[/tex]
Hope this helps!
Name the axis or quadrant in which the point (−3, 2) lies.
A. Quadrant III
B. Quadrant II
C. x-axis
D. Quadrant I