Measurement of angle 1

Measurement Of Angle 1

Answers

Answer 1

Answer:

55

Step-by-step explanation:

Given that a circle and inside two chords with same arc length.

We are to find the angle between the two chords.

Given that two arcs subtend angle 125 degrees at the centre.

Let us join the two ends of chords to make the figure as a triangle inside a circle.

The triangle is isosceles as two arcs and hence chords are equal.

By central angle theorem we have the two equal angles as 1/2 (125) = 62.5

Hence we have a triangle with two equal angles 62.5 and another angle 1.

By triangle sum of angles theorem

angle 1+62.5+62.5 = 180

Hence angle A = 180-62.5-62.5 = 55 degrees.


Related Questions

If sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the angle that is complementary to x? A) 15°; 0.2588 B) 15°; 0.9659 C) 75°; 0.2588 D) 75°; 0.9659

Answers

Answer:

A

Step-by-step explanation:

given sin x ≈ 0.2588, then

x = [tex]sin^{-1}[/tex](0.2588) ≈ 15°

using the cofunction identity

cos x = sin(90 - x)

the complement of 15° is 90° - 15° = 75°, hence

cos 75° = sin(90 - 75)° = sin15° ≈ 0.2588


Which of the following equations is equivalent to 2/3x - 1/2y = 6?
2x - y = 6
2x - y = 36
4x - 3y = 36

Answers

Answer:

4x - 3y = 36

Step-by-step explanation:

2/3x - 1/2y = 6

Multiply each side by 6 to get rid of the fractions

6*  (2/3x - 1/2y) = 6*6

Distribute the 6

12/3 x - 6/2y = 36

4x -3y = 36


AB is dilated by a scale factor of 3 to form AB . Point O is the center of dilation, and point O lies on AB . If the slope of AB is 3, what can be said about line A'B' ?

A. The slope of is 6, but does not pass through O.

B. The slope of is 9, and passes through O.

C. The slope of is 9, but does not pass through O.

D. The slope of is 3, and passes through O.

E. The slope of is 3, but does not pass through O.

Answers

Answer:

Option: D is the correct answer.

  D.    The slope of is 3, and passes through O.

Step-by-step explanation:

It is given that:

AB is dilated by a scale factor of 3 to form AB .

Also, the line AB pass through the origin.

So, if AB pass through (0,0) and some point (x,y) then the slope of line AB is:

[tex]Slope=\dfrac{y-0}{x-0}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3[/tex]

( Since, it is given the slope of AB is 3 )

Now , if AB is dilated to A'B' by a scale factor of 3 then

(0,0) → (0,0)

and

(x,y) → (3x,3y)

i.e. (0,0) and (3x,3y) will lie on A'B'.

Hence, the slope of line A'B' is given by:

[tex]Slope=\dfrac{3y-0}{3x-0}\\\\i.e.\\\\Slope=\dfrac{3y}{3x}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3[/tex]

Hence, both have the same slope.

                The answer is :  Option: D

Answer:

Step-by-step explanation:

the first five terms of a sequence are 7,10, 13 , 16 and 19. which of the following functions define this sequence for all integers n>or equal to 1?
A. f[n]= 3n=7
B.f[n]= 4+3n
C. f[n]= 4[3]^n-1
D.f[n]=7[3]^n-1

Answers

Answer:

Option B is correct

For [tex]n\geq 1[/tex] , the function for the given sequence is defined as; [tex]f[n] = 4 +3n[/tex]

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

[tex]a_n = a+(n-1)d[/tex] where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3  ....

The function which defined this sequence is;

[tex]f[n]=a_n = 7 +(n-1)(3)[/tex]

using distributive property:

[tex]f[n] = 7 + 3n -3[/tex]

[tex]f[n] = 4 +3n[/tex]

therefore, the function for the given sequence for all integers [tex]n\geq 1[/tex] is;  [tex]f[n] = 4 +3n[/tex]


The correct option is D) f(n) = 4 + 3n.

Step-by-step explanation:

Given :

Arithmetic Sequence -- 7,10,13,16,19

Solution :

The explicit formula of arithmetic sequence is given by,

[tex]T_n = a+(n-1)d[/tex] ------- (1)

where, common difference (d) = 10 - 7 = 3

first term (a) = 7

So from equation (1),

[tex]T_n = 7+(n-1)3 = 7+3n-3[/tex]

[tex]T_n = 4 + 3n[/tex]

Therefore, the correct option is D) f(n) = 4 + 3n.

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During a recent shopping trip, Erin bought six shirts that cost $15.95 each. How much change did Erin receive if she paid with a $100 bill?

Answers

Answer:

4 Dollars and 30 cents

Step-by-step explanation:

15.95 x 6 = 95.7

100-95.7= 4.30

Final answer:

Erin bought six shirts at $15.95 each, totaling $95.70. After paying with a $100 bill, she would receive $4.30 in change.

Explanation:

The question asks us to calculate the total cost of six shirts and then determine the change from a $100 bill. Erin bought six shirts that cost $15.95 each. To find the total cost, we multiply the price of one shirt by the number of shirts:

$15.95 × 6 = $95.70.

Next, we calculate the change Erin would receive if she paid with a $100 bill:

$100 - $95.70 = $4.30.

Therefore, Erin would receive $4.30 in change.

What is the decimal equivalent of four over nine ?

Answers

Answer: 0.44444444444....

Step-by-step explanation: 4/9 is the same as 4 ÷ 9. 9 does not divide into 4, so we add a 0 and bring down a 0 to get 9 divided by 40. 9 can be multiplied by 4 to get 36, 40 - 36 = 4, bring down another 0, 9 can be multiplied by 4 to get 36, 40 - 36 = 4.... this is a never ending decimal.

Please Help!

Write an inequality and solve each problem.

Two less than a number is less than 9.

Answers

Answer:


Step-by-step explanation:

Unknown number be 'x'

X-2<9

An explanation of solving an inequality where the number is two less than a number less than 9.

An inequality can be written as: x - 2 < 9, where x is the number.

To solve the inequality:

Add 2 to both sides: x < 11

So, the solution to the inequality is: x < 11

James cut three squares lasagnas so that each piece was 1/5 of a lasagna. How many pieces did James cut the lasagna into?

Answers

He cut the lasagna into 15 pieces. If he cut 3 pizzas and he cut each one 5 times, then he would come out with 15 total slices (3x5)

Final answer:

James cuts each of the three lasagnas into five equal parts, resulting in a total of 15 pieces of lasagna.

Explanation:

When James cuts each square lasagna into pieces that are each 1/5 of the lasagna, he's effectively dividing each whole lasagna into five equal parts. Since he has three whole lasagnas, each cut into 1/5-sized pieces, the total number of pieces he would end up with can be found by multiplying the number of pieces per lasagna by the number of lasagnas.

To calculate this, you multiply 5 (the number of pieces from one lasagna) by 3 (the number of lasagnas):

Multiply the number of pieces per lasagna (5) by the number of lasagnas (3).

5 pieces/lasagna × 3 lasagnas = 15 pieces

Thus, James cuts the lasagna into 15 pieces in total.

Factor -.36 out of -1.8w+3.96

Answers

[tex]-1.8w+3.96=(-0.36)(5w)+(-0.36)(11)\\\\=\boxed{-0.36(5w+11)}[/tex]

what is the answer to 4r + 9r - 11r + 7r

Answers

Answer:

9r

Step-by-step explanation:

Simplify:

4r + 9r - 11r + 7r

13r - 11r + 7r

2r + 7r

9r

The answer to the given expression i.e. 4r + 9r - 11r + 7r is 9r.

Given that,

The given expression is 4r + 9r - 11r + 7r.We need to solve the above expression.

Based on the above information, the calculation is as follows:

= 4r + 9r - 11r + 7r

= 20r - 11r

= 9r

Therefore we can conclude that the answer to the given expression i.e. 4r + 9r - 11r + 7r is 9r.

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Mrs.Barkley has 75 feet ribbon. If each of the 18 students in her class gets an equal length of ribbon, how many inches of ribbon will each student get?

Answers

Answer:

Each student would get 4 inches of ribbon


Step-by-step explanation:

Mrs. Barkley has 75 inches of ribbon and is splitting it between 18 students so you would divide 75 by 18. When you divide you get 4.166666... etc. So the answer would be 4

Each of the 18 students in Mrs. Barkley's class will receive 50 inches of ribbon when 75 feet of ribbon are divided equally among them.

The student has asked how many inches of ribbon each student will get if Mrs. Barkley has 75 feet of ribbon and splits it equally among 18 students. To solve this problem, we first need to convert feet to inches because there are 12 inches in a foot. Then we divide the total inches of ribbon by the number of students.

Total length of ribbon for each student= 75/18

The total length of ribbon for each student≈4.1667

So, each student will receive approximately 4.1667 feet of ribbon.

To find out how many inches this is, we'll convert this value to inches. Since 1 foot is equal to 12 inches, we can multiply the total length of the ribbon for each student by 12:

The total length of ribbon for each student (in inches)=4.1667×12

The total length of ribbon for each student (in inches)≈49.9999

Therefore, each student will receive approximately 50 inches of ribbon.

Use what you know about the sum of the angles of a triangle to find m

Answers

Answer:

Angle ABC is 22 degrees

Angle BAC is 68 degrees

======================================

Work Shown:

Because there are just 3 points, we can refer to "angle BAC" as "angle A" and "angle ABC" as "angle B". Focus on the middle letter of each three-letter sequence.

The three angles A, B, C add up to 180 degrees. This is true for any triangle.

A+B+C = 180

(6x+8) + (2x+2) + 90 = 180 ... substitution

6x+8 + 2x+2 + 90 = 180

8x+100 = 180

8x+100-100 = 180-100 ... subtract 100 from both sides

8x = 80

8x/8 = 80/8 ... divide both sides by 8

x = 10

If x = 10, then angle BAC is

angle BAC = 6x+8

angle BAC = 6*10+8

angle BAC = 60+8

angle BAC = 68

Use x = 10 to find angle ABC as well

angle ABC = 2x+2

angle ABC = 2*10+2

angle ABC = 20+2

angle ABC = 22

The three angles of this triangle are A = 68, B = 22, C = 90

As a check, the three angles must add to 180

A+B+C = 180

68+22+90 = 180

180 = 180

Answers are confirmed

Another thing to notice is that A+B = 90 meaning that A and B are complementary angles. A+B = 68+22 = 90.


Ms. Valenzuela had her students design a snake house for the zoo. In the de3sign shown, the anaconda has 538 more square feet than the python. The python has twice as many square feet as the rattlesnake. How much area does each snake have?

Answers

Answer:

If the python has the area x sq. ft, they all have the area [tex]\dfrac{5x}{2}+538\ sq. ft.[/tex]

Step-by-step explanation:

Let x sq. ft be the area the python has.

1. If the anaconda has 538 more square feet than the python, then the anaconda has (x+538) sq. ft.

2. If the python has twice as many square feet as the rattlesnake, then the rattlesnake has the area  [tex]\dfrac{x}{2}\ sq. ft.[/tex]

In total they have the area  

[tex]x+(x+538)+\dfrac{x}{2}=\dfrac{5x}{2}+538\ sq. ft.[/tex]

A box contains10 pens, 5 of the pens are red, 4 are balck and 1 are bluem What is the probability of pulling out a black pen first, putting it back into the box, and then pulling a red pen ?

Answers

Pulling out a black pen first will grant you a 40% chance of that occurring, then when you put it back the probability of you pulling out a red pen would be 50% so in decimal form these two values would be .40 and .50 multiply these two together you should get .20 or a 20% chance. Also a written fraction would be 1/5, all of which are valid answers.

Final answer:

The probability of drawing a black pen first and then a red pen with replacement from a box of 10 pens is 20%.

Explanation:

To calculate the probability of drawing a black pen and then a red pen with replacement in a box that contains 10 pens, we should calculate the probability of each event separately and then multiply them since the events are independent.

There are 5 red pens, 4 black pens, and 1 blue pen, making a total of 10 pens. The probability of drawing a black pen is the number of black pens divided by the total number of pens: P(black) = 4/10 or 0.4.

Since the pen is replaced, the total stays the same. Therefore, the probability of then drawing a red pen is the number of red pens divided by the total number of pens: P(red) = 5/10 or 0.5.

To find the combined probability of both events happening in sequence (drawing a black pen and then a red pen), we multiply the two probabilities together: P(black and red) = P(black) × P(red) = 0.4 × 0.5 = 0.2 or 20%.

Which of the following is an irrational number?

Answers

Answer:

7.25252525

Step-by-step explanation:

Irrational numbers are numbers that never end, therefore 7.25 is an irrational number. also, none of the other ones are never ending

Find three ratios equivalent to 5/7

Answers

Answer:

10/14, 15/21

Step-by-step explanation:

WE are given a ratio 5/7

To find equivalent ratios it is sufficient to multiply both numerator and denominator by the same number

Let us take 2,3 for example.

When we multiply both numerator and denominator by 2, value does not change.

Hence we get equivalent fraction.

So 10/14 is one such fraction.

Next is multiply by 3

15/21 is another fraction.

Carlos has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?

Answers

Answer:

25

Step-by-step explanation:


Norah has 2/3 ton of stone to spread equally in 4 square yards. How many tons of stone will be spread in each square yard?

Answers

Answer:

The answer is 1/6.



In each square yard, Norah would spread 1 / 6 ton of stone.

Given that,
Norah has 2/3 tons of stone to spread equally in 4 square yards, how many tons of stone will be spread in each square yard is ot be determined.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Quantity if Stone = 2/3 ton
Area = 4 square yards
Quantity per yard = [2/3] / 4= 1 / 6

Thus, in each square yard, Norah would spread 1 / 6 ton of stone.

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Write the slope-intercept form of the equation of each line given the slope and y-intercept

1. slope = --1/2 y-intercrept = -2

2. slope = - 4/3, Y intercept = 1

3. Slope = 1/3, Y intercept = -1


4 slope = -1/2, Y intercept 4


If you can, please explain. Thanks!

Answers

Final answer:

To write the slope-intercept form of a linear equation, we use the formula y = mx + b, where m represents the slope and b represents the y-intercept.

Explanation:

To write the slope-intercept form of a linear equation, we use the formula y = mx + b, where m represents the slope and b represents the y-intercept.

For the first equation, the slope is -1/2 and the y-intercept is -2. So the equation is y = -1/2x - 2.For the second equation, the slope is -4/3 and the y-intercept is 1. Therefore, the equation is y = -4/3x + 1.For the third equation, the slope is 1/3 and the y-intercept is -1. The equation is y = 1/3x - 1.For the fourth equation, the slope is -1/2 and the y-intercept is 4. The equation is y = -1/2x + 4.

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Which algebraic rule describes the transformation?

A) (x, y) → (x + 1, y − 3)

B) (x, y) → (x + 3, y − 1)

C) (x, y) → (x − 1, y + 3)

D) (x, y) → (x − 3, y + 1)

Answers

Answer:

B

Step-by-step explanation:

To get to to triangle Y'X'Z', you need to move triangle YXZ 3 units to the right (+3), and 1 unit down (-1). So (x+3,y-1)

Answer:

b

Step-by-step explanation:

simplify:
[tex] \sqrt[5]{3} + \sqrt{12} + \sqrt{32} [/tex]

Answers

[tex]\sqrt[5]3+\sqrt{12}+\sqrt{32}=\sqrt[5]3+\sqrt{4\cdot3}+\sqrt{16\cdot2}=\sqrt[5]3+\sqrt4\cdot\sqrt3+\sqrt{16}\cdot\sqrt2\\\\=\boxed{\sqrt[5]3+2\sqrt3+4\sqrt2}[/tex]

Jason spends 3 1/12 hours biking and 2 1/3 hours at the mall. How much less time does Jason spend at the mall compared to biking?

Answers

We must find the difference between 3 1/12 and 2 1/3. So we can first subtract 3 from 2 and we earn 1 whole number. Next we must subtract  1/12 and 1/3. This is the same as 3/36-12/36, which is -9/36 or -1/4. Since we can't have -1/4 we must subtract 1/4 from 1 and earn 3/4 as our answer.

Hope this helps! <3

Sally and her husband Jim left their house at the same time traveling in the same direction. Sally drove at 55mph and Jim drove at 65mph. How many hours was it before Jim was 100 miles ahead of Sally?

Answers

Answer:

It will take 10 hours.

Step-by-step explanation:

We know distance = rate * time

Sally's rate = 55

Jim's rate = 65

We want Jim to be 100 miles ahead of Sally

The time will always be the same.

d =Sally's distance


Sally

d = 55t


Jim

d+100 = 65 t


We know have 2 equations with 2 unknowns.  Substitute d= 55t into Jim's equations

55t + 100 = 65t

Subtract 55t from both sides.

55t-55t + 100 = 65t-55t

100 = 10t

divide each side by 10

100/10 = 10t/10

10 = t


Answer:

It will take exactly 10 hours

Step-by-step explanation:

The selling price of a chair is Rs 980 with a loss of 20%. What is the cost price of the chair?

Answers

Answer:

1225

Step-by-step explanation:

a loss of 20% represents 80% ( 100 - 20) of the cost price

100% represents the cost price

To find the cost price divide the selling price by 80 to find 1% and multiply by 100 to find cost price

cost price = [tex]\frac{980}{80}[/tex] × 100 = 1225


What is 90/70
Simplified

Answers

As an improper fraction, the simplified answer would be 9/7 after you divide both top and bottom by 10

------------------------

If you need a mixed number, then 9/7 converts to 1 & 2/7 because

9/7 = 1 remainder 2

If you had 9 cookies and 7 friends, then each friend gets 1 whole cookie, and there will be 2 left over.

Answer:

The answer would be 9/7 as improper, but if you want the mixed number it would be 2 2/7. Glad I could help let me know if I can do anything else

Step-by-step explanation:


For f(x)=-2x-13, find f(x) when x=5
Can someone please help me?

Answers

Answer:

f(x) = -38

Step-by-step explanation:

well f(x) is the same thing as y so just write it as y so its easier to understand.

y = -2x -13

take the x value they give you which in this case is 5 and plug it in to the x in your equation.

y = -2(5) -13

now just use a calculator or something and find that

y = -25 - 13

and finally

y = -38

now just change y back to f(x) if needed

hope this helps :)

What helps with a problem like this is replacing f(x) with y. The equation becomes y=-2x-13. Now you just need to plug on for x. y=-2 (5)-13. that becomes y = -10 - 13. y= -23. you have to change y back to f(x) so, f(x) = - 23.

What does t equal ?

Answers

Answer:

t = 56.67

Step-by-step explanation:

Remark

If you are given a rhombus, what you are being told is that all 4 sides are equal. So WX = XY

Equation

6t - 82 = 3t + 88                             Add 82 to both sides

Solution

6t - 82 + 82 = 3t + 88 + 82             Combine6t = 3t + 170                                     Subtract 3t from both sides6t - 3t = 3t - 3t + 170                        Combine3t= 170                                              Divide by 3t = 170/3t = 56.67

Which transformation changes triangle ABC to triangle A’B’C’?

Answers

Answer: rotation 180 degrees counterclockwise about the origin


Step-by-step explanation: the formula for rotating 180 degrees is (x , y) = (-x , -y). thus, an example of point A is (2 , -4), and it results in being (-2, 4), and so forth for the following points.


Answer:

Reflection about the y axis, and then about the x- axis

Step-by-step explanation:

When reflecting an object about the y- axis, the x-coordinates are multiplied with -1.

When reflecting an object about the x-axis, the y-coordinates are multiplied with -.

When reflecting about both axes, both coordinates are multiplied by -1.

Now looking at the coordinates of the two triangles:

A(2, -4) → A'(-2, 4)

B(5, -5) → B'(-5, 1)

C(4, -5) → C'(-4, 5)

All of the coordinates are multiplied by -1.

what is the factored for of the polynomial x2 - 16x + 48

Answers

What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)

Answer:

[tex](x-12)(x-4)[/tex]

Step-by-step explanation:

[tex]x^2 - 16x + 48[/tex]

In the given expression , the product is 48 and sum is -16

-4 times -12 gives us 48

-4 plus -12 gives us -16. So two factors are -4 and -12

Beak the middle term using factors

[tex]x^2 -4x-12x+48[/tex]

Group first two terms and last two terms

[tex](x^2 -4x)+(-12x+48)[/tex]

FActor out GCF from each group

[tex]x(x -4)-12(x-4)[/tex]

FActor out x-4 that is in common

[tex](x-12)(x-4)[/tex]

the equation of a circle is given below x^2 + (y+4)^2 = 64. What is its center? what is its radius?

Answers

Center (0,-4) radius 8
Final answer:

The center of the circle described by the equation x^2 + (y+4)^2 = 64 is at the point (0,-4), and the radius is 8.

Explanation:

In the context of a circle, the general equation form is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the center of the circle and r is its radius. Looking at your given equation x^2 + (y+4)^2 = 64, it is in this general format.

Here, the value of a is 0 (as there is no number being subtracted from x) and b is -4 (the y coordinate has been shifted 4 units down). Therefore, the center of the circle is at point (0,-4).

For the radius, since r^2 = 64, the radius r will be the square root of 64 which is 8.

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