Answers
this is an ange formed by two intersecting chords
then the missing angle is given by
[tex]\theta=\frac{1}{2}(arcCB+arcSD)[/tex][tex]\theta=\frac{1}{2}(191+55)[/tex][tex]\theta=\frac{1}{2}(246)[/tex][tex]\theta=123\degree[/tex]the missing angle is 123°
Related Questions
I need help with statistical problem I have got the answer of 0.3354 because I subtracted 0.9991 - 0.146 I wanted to know if that was correct I kept getting the answer wrong
Answers
Data:
• Cumulative probability of -2.18 ,: 0.0146
• Cumulative probability of 3.74 ,:, ,0.9999
Procedure:
0. Using the following formula we can get our probability.
[tex]P(-2.182. Replacing the values previously got from a Standard Normal Table.[tex]P(-2.18Answer: 0.9853
If $16,000 is invested at 8% for 12 years, find the future value if the interest is compounded
semiannually.
Please round the answer to the nearest cent.
The future value is $
Answers
t - the number of years the money is invested for
P = $16,000
m =2
t = 12 yr
r = 8% or .08
FV = 16,000* ( 1+ .08/2) 2*12 = 16000 (1.04) 24 = 16000* (2.5633041) = $41012.8656
FV - the future value of the investment = $41012.87 is answer
Find the slope of a line parallel to the line whose equation is x-y = 4
Answers
Answer: Slope of 1.
Step-by-step explanation:
First, we will put the equation into slope-intercept form.
x - y = 4
x = y + 4
y = x - 4
Our slope, when the line is written as y = mx + b, is the m value. Our m value here is one, so the slope of a line parallel to the line whose equation is x - y = 4 is 1.
Alejo had 115.25 in his bank account. He made three equivalent
transactions. His new balance is $-77.73. How much was each transaction?
Answers
Answer:
So,
let the amount of each transaction be x.
3x= 115.25+77.73
x= 192.98÷
x= 64.327
each transaction was of 64.327
Step-by-step explanation:
since the amount left is -77.73 then three equal transaction will also include 115.25+77.73= 1 92.98
192.98 was the total amount used
Find the perimeter of the figure given to the right. Use the approximation 3.14
Answers
To answer this question we will use the following diagram as a reference:
Notice that the perimeter of the given figure is the sum of 2 times the perimeter of the semicircles and 48m, the perimeter of each semicircle is:
[tex]\begin{gathered} P_S=\pi\times radius=6\pi m \\ \approx18.84m. \end{gathered}[/tex]Therefore the perimeter of the given figure is:
[tex]P=2*18.84m+48m=85.68m.[/tex]Answer: 85.68m.
Solve each triangle. Round answers to the nearest tenth, if necessary.
Answers
Given the triangle DEF.
Angle E = 71.2˚
e = 29.5 cm
f = 30.3 cm
We are to solve for each triangle.
Using laws of sine:
a = b = c
sinA SinB SinC
In this case we will have:
e = f
SinE SinF
29.5 = 30.3
sin 71.2˚ sinF
cross multiply
sinF(29.5) = sin 71.2˚(30.3)
sinF = sin 71.2˚(30.3)
sin 29.5
sinF = 0.9466 * 30.3
0.4924
sinF = 58.2524
2 × 4/3, but the answer as a fraction
Answers
The given expression is : 2 × 4/3
[tex]\begin{gathered} 2\times\frac{4}{3}=\frac{2\times4}{3} \\ 2\times\frac{4}{3}=\frac{8}{3} \end{gathered}[/tex]Answer :
[tex]2\times\frac{4}{3}=\frac{8}{3}[/tex]
Given the scatter plot on the graph below. What is the slope of the line of fit
Answers
Hello there. To solve this question, we'll have to remember some properties about scatter plots and slope of a line.
Given the scatter plot of the data information, we have to determine the slope of the line.
For this, we could determine it numerically using the least squares method, if we knew the data (the coordinates of the points we're plotting the best fit).
In this case, we simply need to find, by inspection, two points contained in the line and use the slope formula.
Given two points (x0, y0) and (x1, y1) that a line L passes through, then the slope m of this line is given by:
[tex]m=\frac{y_1-y_0}{x_1-x_0}[/tex]By inspection, we can easily spot the points (16, 12) and (28, 20).
Plugging these coordinates in the formula, we get:
[tex]m=\frac{20-12}{28-16}[/tex]Add the numbers and simplify the fraction
[tex]m=\frac{8}{12}\overset{:4}{=}\frac{2}{3}[/tex]This is the slope of this line.
I need help with finding the area and the perimeter for a trapezoid thank you
Answers
From the figure given in the question, we are asked to find the area and perimeter.
(a) Area:
Since the figure is a trapezoid, the formula for the area of a trapezoid is:
Area = (a + b)h
2
Where:
a = 2
b = 5
h = 4
Area = (2 + 5)4
2
Area = 7/2 * 4
Area = 3.5 * 4
Area = 14 cm²
(b) Perimeter:
To get the perimeter, we will have to add all the side length.
But we will have to find the missin side length first.
Using pythagoras:
a² + b² = c²
Where:
a = 4
b = 3
c² = 4² + 3²
c² = 16 + 9
c² = 25
Taking square of both sides:
c = √25
c = 5
Since we have gotten the missing side length as 5cm, we can now add all the given side length to get the perimeter.
Perimeter = 4 + 2 + 5 + 5
Perimeter = 16 cm
What is y=-2/9x+3 written in standard form using integers?A. 2/9x+y=3 B. y + 2/9x – 3 = 0 C. 2x + 9y = 3D. 2x + 9y = 27
Answers
Given:
[tex]y=-\frac{2}{9}x+3[/tex]The equation above is written in slope intercept form:
y = mx + b
To rewrite in standard form, use the standard form of linear equations below:
Ax + By = C
Thus, we have:
[tex]y=-\frac{2}{9}x+3[/tex]Multiply through by 9 to eliminate the fraction:
[tex]\begin{gathered} 9y=(-\frac{2}{9}x\ast9)+(3\ast9) \\ \\ 9y=-2x+27 \end{gathered}[/tex]Add 2x to both sides:
[tex]\begin{gathered} 2x\text{ + 9y = -2x + 2x + 27} \\ \\ 2x\text{ + 9y = 27} \end{gathered}[/tex]Therefore, the equation in standard form is:
2x + 9y = 27
ANSWER:
D. 2x + 9y = 27
Point (-3,2) Line x + y = 3 (Question parts in the photo, sorry)
Answers
a)
The slope intercept equation of a line is expressed as
y = mx + c
where
m is the slope
c is the y intercept
The given equation is
x + y = 3
y = - x + 3
By comparing both equations,
m = - 1
If two equations are parallel, it means that they have the same slope. Thus, the slope of the parallel line passing through the point (- 3, 2) is - 1
We would find the y intercept by substituting x = - 3, y = 2 and m = - 1 into the slope intercept equation. It becomes
2 = - 1 * - 3 + c
2 = 3 + c
c = 2 - 3
c = - 1
By substituting m = - 1 and c = - 1 into the slope intercept equation, the equation of the line is
y = - x - 1
b) If two equations are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line Thus, the slope of the perpendicular line passing through the point (- 3, 2) is - - 1/1 = 1
We would find the y intercept by substituting x = - 3, y = 2 and m = 1 into the slope intercept equation. It becomes
2 = 1 * - 3 + c
2 = - 3 + c
c = 2 + 5
c = 5
By substituting m = 1 and c = 5 into the slope intercept equation, the equation of the line is
y = x + 5
a) y = - x - 1
b) y = x + 5
Can you please help me out with a question
Answers
Note:
For similar shapes, the ratio of their areas is equal to the square of the ratio of sides.
That is:
[tex]\text{ ratio of areas of similar shapes = (ratio of sides )}^2[/tex][tex]\begin{gathered} \frac{846}{376}\text{ = (}\frac{X}{24})^2 \\ \frac{846}{376}\text{ = }\frac{x^2}{576} \\ \text{cross multiply} \\ 376X^2=\text{ 576 x 846} \\ 376X^2=487296 \\ X^2=\frac{487296}{376} \\ X^2=1296 \\ X=\sqrt[]{1296}\text{ = 36} \end{gathered}[/tex]The value of X is 36
Mia makes a cold drink she calls iced punch. She uses vanilla ice-cream, grape juice and
ginger ale in the ratio 1:4:5. Mia has plenty of vanilla ice-cream, but only 2250ml of grape
juice and 2750ml of ginger ale. She makes as much iced punch as she can with these
ingredients. How much of each ingredient does she use?
Answers
Now she has 2250ml juice and 2750ml ale
Given that juice and ale are needed in the ratio 4 to 5
So here we find according to the bigger value.
5x=2750 => x= 550ml
=> 4x= 2200ml
So she uses 550ml ice cream , 2200ml juice and 2750ml ale
Open Ended Question is an incorrect hypothesis valuable? Why or why not?
Answers
A hypothesis can be seen as an assumption about something, If the hypothesis is wrong, you have information about that something, and you can be sure that the behavior you assumed is never going to happen. In conclusion, you also learn from the mistakes made
The outside temperature decreases 7*f in 3 1/2 hours.
How would you represent the temperature as unit
Answers
A temperature drop of 7 degrees Fahrenheit in 3.5 hours is represented by 2 f/hour.
What is the definition of Fahrenheit?Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the interval between the two divided into 180 equal parts.
Given: The outside temperature drops by 7 degrees Fahrenheit in 3 1/2 hours.
We need to represent the temperature as a unit.
To do so, we must represent the temperature change per hour.
7f/3.5 hours = 2 f/hour
Therefore, the temperature that decreases by 7 degrees Fahrenheit in 3.5 hours can be represented as 2 f/hour.
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Fill in the blanks so the left side is a perfect square trinomial. That is, complete the square.x² - 6x +__ = (x -__)^2
Answers
Given:
[tex]x^2-6x+__{-----}=(x\text{ -}\_\_\_\_\rparen^2[/tex]Find: fill in the blanks.
Explanation:
[tex]x^2-6x+9=(x-3)^2[/tex]1 cm plus what equals 100cm
Answers
Answer:99cm.l
Step-by-step explanation:100-1
100-1=99
So then the answer is 99, because 99+1 is also equal to 100.
And if you subtract 1 from 100, you get 99.
Answer: 99cm
Step-by-step explanation:
1cm + x = 100cm
100cm - 1cm = x
Which means,
99cm is the correct answer.
solve the equations and verify the answer
Answers
The value of m is -6/5.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
2m -3 = 3/10 (5m - 12)
Now, cross multiplying
10( 2m -3)= 3( 5m -12)
20m -30 = 15m - 36
20m- 15m= -36 + 30
5m = -6
Divide both side by 5
m= -6/5
Verification:
LHS = 2m-3
=2(-6/5)-3
=-12/5-3
=-27/5
and, RHS
= 3/10( 5m -12)
=3/10(5 x (-6/5) -12)
=3/10 (-6 - 12)
=3/10 x -18
= -54/10
= -27/5
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I need help solving for x and y
Answers
[tex]\cos \theta=\frac{x}{16} \implies x=16 \cos \theta \\ \\ \sin \theta=\frac{y}{16} \implies y=16 \sin \theta[/tex]
A road crew must repave a road that is 3/4 miles long. They can repave 1/48 miles each hour. How long will it take the crew to repave the road?Write your answer in simplest form.
Answers
Let's use a rule of three to solve this:
This way,
[tex]x=\frac{\frac{3}{4}}{\frac{1}{48}}\rightarrow x=36[/tex]The crew will take 36 hours to repave the road
Joe is taking an amortized loan for 85,000 to open a small business, and it's deciding between the offers if two lenders. He wants to know which one would be the better deal over the life of the small business loan, and by how much. a) His credit union had offered him a 9- year small business loan at an annual interest rate of 14.4% find the monthly payment $_b) a bank has offered him a 10-year small business loan at an annual interest rate of 12.8% find the monthly payment c) suppose Joe pays the monthly payment each month for the full term. which lender small business loan would have the lowest total amount to pay off, and how much? Credit UnionThe total amount paid would be $ less than the bank. BankThe total amount paid would be $ less than the credit union.
Answers
The value of y varies directly with x. When y = 21, x = 3. What is the value of y when x is 14
Answers
Answer:
43
Step-by-step explanation:
The value of y varies directly with x. When y = 21, x = 3. What is the value of y when x is 14.
when y = 21 and x = 3 the ratio of y to x is 21 to 3 or (reduced) 3 y to 1 x
This means y is three times the size of x.
When x = 14 then y = 14 × 3 = 42
E is located at ( − 6 , − 3 ) (−6,−3) on the coordinate plane. Point E E is reflected over the x x-axis to create point E ′ E ′ . What ordered pair describes the location of E ′ ? E ′ ?
Answers
Answer:
(-1,-6) --> (1,-6) --> (1,6)
(1,6) is E''
How many liters each of a 20 % acid solution and a 30 % acid solution must be used to produce 90 liters of a 25 % acid solution? (Roundto two decimal places if necessary.)
Answers
Let x = volume of 20% solution=0.2
Let y = volume of 30% solution=0.3
Equation of total volume:
x + y = 90
Equation of amount of acid:
[tex]\begin{gathered} 0.2x+0.3y=0.25(90) \\ 0.2x+0.3y=22.5 \\ Solve\text{ x+y = 90 , for x} \\ x=90-y \end{gathered}[/tex]Substitute into the second equation
[tex]\begin{gathered} 0.2(90-y)+0.3y=22.5 \\ 18-0.2y+0.3y=22.5 \\ 0.1y=22.5-18 \\ 0.1y=4.5 \\ \text{divide both side by 0.1} \\ \frac{0.1y}{0.1}=\frac{4.5}{0.1} \\ y=45 \\ \sin ce\text{ x=90-y} \\ x=90-45 \\ x=45 \end{gathered}[/tex]Therefore 45 liters of 20% solution and 45 liters of 30% solution
Hence the volume of 20% acid = 45 litres
the volume of 30% acid = 45 litres
The decimal equivalent Of 5/8 is a terminating decimal true or false
Answers
Answer:
This statement is True.
Step-by-step explanation:
5/8 is equal to 0.625 in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal. It is, a so called, 'terminating' decimal. To convert this fraction to a decimal, just divide the numerator (5) by the denominator (8).
A building floor plan is shaped like a trapezoid, with two right angle corners. If the third corner is a 40° angle, what is the measure of the fourth angle?
Answers
Recall that the interior angles of a regular quadrilateral add up to 360 degrees, and a right angle has a measure of 90 degrees.
Let x° be the measure of the fourth angle, then we can set the following equation:
[tex]40^{\circ}+90^{\circ}+90^{\circ}+x^{\circ}=360^{\circ}.[/tex]Adding like terms we get:
[tex]220^{\circ}+x^{\circ}=360^{\circ}.[/tex]Subtracting 220 degrees from the above result we get:
[tex]\begin{gathered} 220^{\circ}+x^{\circ}-220^{\circ}=360^{\circ}-220^{\circ}, \\ x^\circ=140^\circ. \end{gathered}[/tex]Answer:
[tex]140^{\circ}.[/tex]√ 3 ⋅ √ 5 ⋅ √ 13 simplified answer
Answers
Answer: √195 or 13.96424004
Step-by-step explanation:
Answer:
[tex]\sqrt{195}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{3} \cdot \sqrt{5} \cdot \sqrt{13}[/tex]
[tex]\textsf{Apply the radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:[/tex]
[tex]\implies \sqrt{3 \cdot 5 \cdot 13}[/tex]
[tex]\implies \sqrt{15 \cdot 13}[/tex]
[tex]\implies \sqrt{195}[/tex]
This cannot be simplified any further.
Write the coordinates of the vertex after a dilation with a scale factor of 5, centered at the origin.T(-1, 5)T' (___,___)Write your answer as a pair of numbers separated by a comma and space, like this: 4, -9
Answers
Multiply the coordinates by the scale factor (5)
T'= (-1 x 5 , 5x5) = (-5,25)
T' = (-5,25)
The pentagons ABCDE and PQRST are similar.
Find the length x of TP.
Answers
Yo bro, I'm just doing this for the rewards for my homework. please don't read this or take it serious
Question 4 of 10
Solve 2x + 6 8 or 2x + 8 > 12.
A. x2 or x > 6
B. x
1 or x > 6
C.
2 and x > 2
1 ora > 2
OD. x
SU
Answers
The value is x≤1 or x>2
What is inequalities?Equations don't always need to have a "equal to" symbol on both sides to be balanced. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.
2x +6≤8 or 2x + 8 > 12
2x +6≤8
2x ≤2
x≤1
2x +8>12
2x>4
x>2
The value is x≤1 or x>2
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