The equation sin(25o) =9/c can be used to find the length of AB .
What is the length of AB? Round to the nearest tenth.
Answers
c = 9/sin(25)
c = 9/0.4226
c = 21.2958
9/sin(25)
9/0.422618261741
21.29
Related Questions
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Given the equation 2x^2 - 5x + 7 = 0.
Find the discriminant.
Describe the roots and explain your reasoning.
Answers
.. ax^2 +bx +c = 0
the discriminant is
.. d = b^2 -4ac
You have
.. a = 2
.. b = -5
.. c = 7
so the value of the discriminant for your equation is
.. (-5)^2 -4(2)(7)
.. = 25 -56
.. = -31
Because the discriminant is negative, the roots of the quadratic are complex.
Reasoning: this is the usual interpretation of the sign of the discriminant. It derives from the fact that the square root of the discriminant is part of the roots of the quadratic. That part will be imaginary when the discriminant is negative.
_____
The graph shows there are no real roots.
Which graph represents the function?
Answers
A store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, which could be possible retail prices?
hurry
Answers
the retail price could be anything above $45
Answer:49 65
Step-by-step explanation:
What number does x stand for in this equation?
-7x + 6=27
Answers
-7× + 6 = 27
-6 -6
↓
-7× = 21
÷-7 ÷-7
↓
× = -3
If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!
I hope this helped, if there’s anything let me know! ☻
Two numbers have a sum of 22 and a difference of 6. find the two numbers.
Answers
Two numbers have a sum of 22
x+y = 22
y= 22 -x -------------------- (1)
The difference is 6
x - y = 6 ---------------------(2)
Sub (1) into (2):
x - (22 - x) = 6
x - 22 + 2 = 6
2x - 22 = 6
2x = 6 + 22
2x = 28
x = 14 -------- Sub into (1)
y= 22 -x
y = 22 -14
y = 8
One of the number is 14 and the other is 8
These data show the ring size for a sample of 8 men 12 10 11.5,11.5, 12, 9, 9 , 11 what is the best approximation of the standard deviation of the ring size data
Answers
mean is (12+10+11.5+11.5+12+9+9+11)/8
thus, mean = 10.75
Sample standard, s= √(∑(x-m)²)/(n-1)
= 1.172
I therefore, believe that the best approximation of standard deviation is 1.17
Answer:
Standard deviation of ring size is 1.253
Step-by-step explanation:
We are given the following data-set:
12, 10, 11.5, 11.5, 12, 9, 9, 11
n = 8
Formula:
[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{86}{8} = 10.75[/tex]
Sum of squares of differences = 1.5625 + 0.5625 + 0.5625 + 0.5625 + 1.5625 + 3.0625 + 3.0625 + 0.0625 = 11
[tex]S.D = \sqrt{\displaystyle\frac{11}{7}} = 1.253[/tex]
Help find the segment indicated please !
Answers
Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".
SSS
SAS
SSA
not possible
Answers
Answer:
The correct option is 2.
Step-by-step explanation:
Given information: DC║AB, DC=AB.
If a transversal line intersect two parallel lines, then the alternative interior angles are equal.
In triangle ABC and CDA,
[tex]AB=DC[/tex] (Given)
[tex]\angle 2=\angle 3[/tex] (Alternative interior angles)
[tex]CA=CA[/tex] (Common side)
Two corresponding sides and their including angle are equal.
By SAS postulate of congruent triangles,
[tex]\triangle ABC\cong \triangle CDA[/tex]
Since both triangles are congruent by SAS postulate, therefore the correct option is 2.
If 543 planes leave from JFK airport and each plane has 228 passengers, how many people have flown out of JFK? people;
Answers
123,804 people have flown out of JF-K airport based on the assumption of full plane occupancy. Real-world variations and logistical complexities may impact the actual number.
To find the total number of people who have flown out of JF-K, you can multiply the number of planes by the number of passengers per plane.
543 planes * 228 passengers/plane = 123,804 people
Therefore, 123,804 people have flown out of JF-K airport.
It's important to note that this calculation assumes each plane is fully occupied and that there are no variations in passenger counts.
In reality, the number of passengers on each plane may vary, and factors such as seat availability, ticket sales, and other considerations can affect the actual number of people who have flown out of JF-K. Additionally, this calculation does not account for return flights, layovers, or other complexities in air travel logistics.
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Why do we need to construct a confidence interval?
Answers
Please help with this question. 15 points.
Answers
.. A = (1/2)*(5√3 in)*(60 in) = 150√3 in^2
The graph of a translated exponential function is shown below. Its parent function is y = 4x.
If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
Answers
.. y = -3 +4^(x -2)
The equation of the graph is [tex]y = -3 +4^{x -2[/tex]
How to determine the equation of the function?The parent function is given as:
[tex]y = 4^x[/tex]
From the graph, we can see that the function is translated 3 units down and 2 units right.
This means that the transformation rule
(x, y) -> (x - 2, y - 3)
So, we have:
[tex]y = -3 +4^{x -2[/tex]
Hence, the equation of the graph is [tex]y = -3 +4^{x -2[/tex]
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A constant is a value in a formula that doesn't change. _______________
Answers
For example, in the formula:
PV = nRT
The constant is R.
It means that regardless of the value of the other variables, R will always remain the same.
R: universal constant of gases.
Answer:
A constant is a value in a formula that does not change its value.
the formula, P=v^2/R, gives the relationship between resistance (R), voltage (V) and power P). solve the formula for resistance.
Answers
PR = v^2
R = v^2/P
Answer: [tex]R=\frac{V^2}{P}[/tex]
Step-by-step explanation:
Given formula : [tex]P=\frac{V^2}{R}[/tex], gives the relationship between resistance (R), voltage (V) and power P).
When we multiply R to the both sides of the above equation, we get
[tex]PR=v^2[/tex]
Now, divide P on the sides, we get
[tex]R=\frac{V^2}{P}[/tex]
Hence, the formula for resistance will be
[tex]R=\frac{V^2}{P}[/tex], gives the relationship between resistance (R), voltage (V) and power (P).
In a paddock there are emus and wombats. If there are 52 heads and 148 feet, how many emus are in the paddock?
Answers
and 2x + 4y= 148..........................(2)
multiplying equation (1) by 2
we get
2x +2y = 104............................(3)
subtracting equation(3) from equation (2)
2y=44
y=22
that is x=52-22=30
there are 30 emus and 22 wombats
wombat has 4 feet and 1 head
E = emu
W = Wombat
E +W = 52
2E +4W = 148
E = 52-W
2(52-W) + 4W = 148
104-2W +4W = 148
104 + 2W = 148
2W = 44
W = 44/2 = 22
E = 52-22 = 30
there are 30 Emus
It takes mario 5 minutes to type 225 words.how many many minutes does it take him to type 360 words?enter your answer in the box.
Answers
225x = 1,800
225x/225 = 1,800/225 = 8
It would take him 8 minutes
Answer:
the answer is 8
Step-by-step explanation:
because if you multiply 8 times 45 it equals 360
There is your answer
A scientist wants to measure out 0.62 liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal 0.62 liters?
Answers
0.62 liters=620ml
To convert 0.62 liters to milliliters, you multiply 0.62 by 1,000, which equals 620 milliliters. Therefore, the scientist should measure out 620 milliliters of the liquid.
Explanation:When a scientist wants to measure out 0.62 liters of a liquid, but only has a beaker that measures volume in milliliters, she needs to first understand the conversion between liters and milliliters. 1 liter is equal to 1,000 milliliters. So, she would need to convert 0.62 liters to milliliters. She can do this by multiplying 0.62 liters by 1,000. This gives her 620 milliliters. Therefore, if a scientist wants to measure out 0.62 liters of a liquid, but the beaker only measures volume in milliliters, then she should measure out 620 milliliters.
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Write a decimal that represents the value of $1 bill and 5 quarters
Answers
are the graphs of the lines in the pair parallel? Explain. y = 5x + 6 –18x + 3y = –54
Answers
The answer is: they are not parallel because they do not share the same slope.
Facts:
1. Two parallel lines share the same slope.
2. To determine a slope, express the equations in this form:
3. m = slope
The slope of is zero, because it represents a horizontal line in the cartesian plane.
We know that a slope = rise/run... in this case there is no rise and the run goes to infinity (+ and - directions). When zero is divided by any number, the result is zero... thus the slope is zero.
Quick help: Explain how to solve the following system of equations. What is the solution to the system?
2x+2y+z=-5
3x+4y+2z=0
x+3y+2z=1
Answers
x + 3y + 2z = 1
-2x - y = 1
-4x - 4y - 2z = 10
3x + 4y +2z= 0
-x = 10. x = -10
-2(-10) - y = 1
20 - y = 1
-y = -19
y = 19
-10 + 3(19) + 2z = 1
-10 + 57 + 2z = 1
47 + 2z = 1
2z = -46
z= -23
check: 2(-10)+2(19)-23=-5
-20+38-23=-5
-43+38=-5
-5=-5
2x+2y+z = -5 -----------(1)
3x+4y+2z = 0 ----------(2)
x+3y+2z = 1 ---------(3)
Subtract equation (3) from equation (2) to eliminate z
3x+4y+2z =0
-x-3y-2z=-1
__________
2x+y=-1 -------------------(4)
Multiply equation (1) by 2 and subtract it from equation (3) to eliminate z
x+3y+2z=1
-4x-4y-2z=10 ____________
-3x-y=11 --------(5)
Add equation (4) and (5) to eliminate y
2x+y=-1
-3x-y=11 _______
-x=10
X=-10
Substitute the value of x in equation (4) to find y
2(-10)+y=-1
-20+y=-1
y=-1+20
y=19
Substitute the values of x and y in any one of the 3 equations, to find z.
Let’s substitute in equation (1)
2(-10)+2(19)+z=-5
-20+38+z=-5
18+z=-5
z=-5-18
z=-23
Therefore the solution is: x=-10, y=19, z=-23
Solve. −4.2y+2.1>−2.52 Drag and drop a number or symbol into each box to show the solution. <>0.11.14.62−4.62 y
Answers
First, treat the > like an =
−4.2y + 2.1-2.1 > −2.52-2.1
-4.2y > -4.62
-4.2y/-4.2 > -4.62/-4.2
* whenever you divide by a (-), flip the symbol:
y < 1.1
Which of the following reasons will complete the proof?
SAS
ASA
SSS
Answers
The reason that will complete the proof is SSS (Side-Side-Side) which states that if three corresponding sides of two triangles are congruent, then the triangles are congruent.
Explanation:Out of the given options, the reason that will complete the proof is SSS which stands for Side-Side-Side. SSS is a congruence postulate that states that if three corresponding sides of two triangles are congruent, then the triangles are congruent.
In this case, since both 'o' and 'sx' are given, we can apply the SSS congruence postulate to show that the triangles are congruent. This is because two sides 'o' and 'sx' are congruent, and the third side of each triangle can be determined by adding up the length of the other sides.
The correct reason that completes the proof is "SAS" which stands for Side-Angle-Side.
SAS is a postulate in geometry that states: "If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent."
To prove two triangles congruent using the SAS postulate, you need to show that two sides of one triangle are congruent to two sides of another triangle, and the included angle (the angle formed by the two sides) of one triangle is congruent to the included angle of the other triangle.
For example, let's say we have two triangles, Triangle ABC and Triangle DEF. To prove them congruent using the SAS postulate, we need to show that AB is congruent to DE, BC is congruent to EF, and the angle at B is congruent to the angle at E.
Once we have established these congruencies, we can conclude that Triangle ABC is congruent to Triangle DEF.
Therefore, in the context of the given question, the reason that completes the proof is SAS.
Solve. x² + 20x + 100 = 50
A)x=−10±52√
B)x=50±252√
C) x=10±52√
D)x=50±52√
Answers
x = −10 ± 5√2
Solve. x²+ 20x + 100 = 50
Subtracting 50 from both sides
[tex] x^{2} +20x+100-50=50-50 [/tex]
[tex] x^{2} +20x+50=0 [/tex]
To solve the quadratic equation, let us use quadratic formula
For, [tex] ax^{2} +bx+c=0 [/tex] , [tex] x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a} [/tex]
So, a=1, b=20, c=50
So, we get,
x=[tex] \frac{-20+-\sqrt{20^{2}-4*1*50}}{2*1} [/tex]
[tex] x=\frac{-20+-\sqrt{400-200}}{2} [/tex]
[tex] x=\frac{-20+-\sqrt{200}}{2} [/tex]
[tex] x=\frac{-20+-10\sqrt{2}}{2} [/tex]
[tex] x=\frac{-10+-5\sqrt{2}}{1} [/tex]
[tex] x=-10+-5\sqrt{2} [/tex]
Option(a) Answer
So, x=-10+5[tex] \sqrt{2} [/tex]
or, x=-10-5[tex] \sqrt{2} [/tex]
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 5 km/hour faster than the bicyclist heading south. At 10:45, they are 47.25 km apart. Find the two bicyclists’ rates.
Answers
A = r(1.75)
A = 1.75r
(47.25 - A) = (r + 5)(1.75)
47.25 - A = 1.75r + 8.75
47.25 - A - 8.75 = 1.75r
38.5 - A = 1.75r
38.5 - A = A
38.5 = 2A
19.25 = A
So A has traveled 19.25 km in 1.75 hours; this gives him a speed of 11 km/h. Bicyclist B has, therefore, traveled 47.25 km - 19.25 km = 28 km in 1.75 hours, giving him a rate of 16 km/h, which fits the provided information.
Joseph is going on a trip and he needs to rent a car. He looks online and finds two companies that offer different pricing options for car rentals. Company A charges $0.25 per mile plus a $50 rental fee. Company B charges $0.45 per mile plus a $20 rental fee.
Which statement is true about the pricing plans for Company A and Company B?
A) Company A is a better deal if Joseph drives 150 miles.
B) Company B is a better deal if Joseph drives 150 miles.
C) Company B is a better deal if Joseph drives more than 150 miles.
D) Company A is a better deal if Joseph drives less than 150 miles.
E) The price for traveling 150 miles is the same for both compan
Answers
(.45 × 150) + 20 = 87.5
Answer:
E.The price for travelling 150 miles is same for both company.
Step-by-step explanation:
We are given that Joseph is going on a trip and he needs to rent a car.
Company A
Charge $0.25 per mile plus $50 rental fee.
Company B charges 40.45 per mile plus $20 rental fee.
A.Total distance=150 miles
Company A
Charges for 150 miles=[tex]150\times 0.25=[/tex]$37.5
Total charges=37.5+50=$87.5
Company B
Charges for 150 miles=[tex]150\times 0.45[/tex]=$67.5
Total charge=20+67.5=$87.5
The price for travelling 150 miles is same for both company.
But if distance greater than 150 miles such 155 miles
Company A
Total charge=[tex]155\times 0.25+50=[/tex]$88.75
Company B
Total charges=[tex]155\times 0.45+20=[/tex]$89.75
Company A is better deal if Joseph more than 150 miles.
If distance 145 miles
Price form company A=[tex]145\times 0.25+50=[/tex]$86.25
Price form company B=[tex]145\times 0.45+20=[/tex]$85.25
Company B is better deal if Joseph travel less than 150 miles.
Hence, option E is true.
According to these three facts, which statements are true?
- Circle D has center (2, 3) and radius 7.
- Circle F is a translation of circle D, 2 units right.
- Circle F is a dilation of circle D with a scale factor of 2.
A) Circle F and circle D are similar.
B) The center of circle F is (0, 3).
C) The radius of circle F is 28.
D) Circle F and circle D are congruent.
(Again, you can choose more than one option.)
Answers
Using the stated facts, the statements from the listed options which are true are given by: Option A) Circle F and circle D are similar.
How to find if a pair of figure is not dilated version of each other?Dilation of a figure will leave its size get scaled (multiplied) by same number.
Thus, suppose if a circle is dilated with its center as center of dilation, with some scale factor, that will affect its radius.
So, if the current circle is having the radius 'r' units, and the circle is dilated from its center with scale factor of S, then, we get:
New circle's radius = [tex]S \times r \: \rm units[/tex]
For the given case, the three facts to be considered are:
Circle D has center (2, 3) and radius 7.Circle F is a translation of circle D, 2 units right.Circle F is a dilation of circle D with a scale factor of 2.Since circle F is translation of circle D, 2 units right, so its all points will be shifted 2 units right, which makes coordinate (x,y) - > (x + 2, y) (since height is same, only the x coordinates shifted to right side).
Thus, center of F would be (2 + 2, 3) = (4,3).
Since there is scaling of the circle D scale factor 2, thus, radius of circle F will be twice the radius of the circle D, which will be 2 times 7 = 14 units.
Since dilated figures are similar, thus, Circle F and Circle D are similar.
(similar figures are those who look alike, although may be smaller or larger versions, but congruent figures are exact same dimension holding figures, their all properties match, but positions can be different).
Thus, the correct statement is only option A: Circle F and circle D are similar.
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Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan?
Answers
Answer:
The answer is B, he can only draw one unique triangle with these side lengths.
Step-by-step explanation:
I did the quiz
Before a renovation, a movie theater had 134 seats. After the renovation, the theater has 196 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
Answers
Answer:46.3%
Step-by-step explanation:
Final answer:
46.3%
Explanation:
To find the approximate percentage increase in the number of seats at the theater, subtract the initial number of seats from the final number, then calculate the percentage increase using this difference.
Percentage Increase:
To calculate the approximate percentage increase in the number of seats at the theater:
Find the difference in the number of seats after and before the renovation: 196 - 134 = 62 seats.Calculate the percentage increase: (62 / 134) * 100% ≈ 46.3%1/4 of 96= ? without using a fraction
Answers
1. find the sum of the measures of exterior angles, one at each vertex, of an octagon.
a. 180*
b. 360*
c. 1080*
d. 1440*
2. If the sum of the interior angles of a polygon is 900* ( * = degrees) , then how many sides does the polygon have?
a. 6
b. 7
c. 8
d. 9
10. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.
11. The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, rectangle, or a square? Explain.
Answers
Answer: First question: b. 360°
Second question : b. 7
Third question: Yes, it is a parallelogram.
Fourth question: It is a rhombus.
Step-by-step explanation:
1. Since, The sum of exterior angles in a polygon is always equal to 360 degrees.
And, an octagon is also a polygon.
Therefore the sum of the all exterior angle of an octagon = 360°
2. Since, the sum of the interior angles of a polygon of n sides is (n-2)×180°
But here (n-2)×180°=900
⇒ n-2 = 5 ( After dividing both sides by 180° )
⇒ n = 5 + 2 = 7
Thus, If the sum of the interior angles of a polygon is 900° then the polygon has 7 sides.
10. Since, In triangles XNY and WNZ,
XN≅NZ (Given)
NY≅NW ( Given)
∠XNY≅∠WNZ ( vertically opposite angles)
Thus, By SAS postulate of congruence,
ΔXNY≅ΔWNZ,
By CPCTC, XY≅WZ
Similarly, Δ XNW≅ Δ YNZ,
By CPCTC, XW≅YZ
Therefore, In quadrilateral XYZW, Opposite sides are equal.
⇒ XYZW is a parallelogram.
11. Let ABCD is a parallelogram,
In which AC is a diagonal.
Also, AB = CD and AD= BC ( By the property of parallelogram)
And, It is given that ∠DAC=∠DCA = 72°
Therefore ADC is an isosceles triangle ( By the property of isosceles triangle)
Thus, AD=DC
Similarly, ABC is an isosceles triangle.
Thus, AB= BC
Thus, AB=BC=CD=DA.
Also, ∠ADC=∠ABC ( By the property of parallelogram)
Therefore, In ABCD all sides are equal and Opposite angles are equal.
⇒ ABCD is a rhombus. ( The diagram is shown below)