ac a, c, with, \overleftrightarrow, on top is tangent to circle ooo at point ccc. what is the measure of \angle oac∠oacangle, o, a, c?

Answers

Answer 1

The correct option is (C) 45°

The measure of angle ∠OCA = 45°.

What is the tangent?

A circle is a depiction with no sides or vertices.

It includes a radius as well as a center. The center is the point from which all other points just on circle are equidistant, and the distance between them equals the radius.

Let AC equal the tangent to the circle with center O.

OA ⊥ AC   ....(The tangent has always been perpendicular to the radius.)

As, it is given that ∠OAC = 90° and ΔOAC is isosceles triangle.

Thus, ∠O = ∠C = x (say)

Now, using the triangle's angle sum property. We have it,

90° + x + x= 180°

On simplification;

x = 45°

Thus, the value of angle ∠OCA is 45°.

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The correct question is-

'O' is a centre of a circle, AC is a tangent to a circle at point A. If ΔOAC is an isosceles triangle, then find the measure of  ∠OCA

(A) 75°

(B) 50°

(C) 45°

(D) 40°

Ac A, C, With, \overleftrightarrow, On Top Is Tangent To Circle Ooo At Point Ccc. What Is The Measure

Related Questions

help please!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/8

Step-by-step explanation:

5/4   divided by   10/1   is the same as  

    5/4   times  1/10

       5/4 *  1/10 =  5/40    = 1/8

Answer: 1/8

Step-by-step explanation:

[tex]\displaystyle\\\frac{\frac{5}{4} }{10} =\\\\\frac{5}{4}:10=\\\\\frac{5}{4} *\frac{1}{10}=\\\\ \frac{5*1}{4*10}=\\\\\frac{5}{4*5*2} =\\\\\frac{1}{4*2}=\\\\\frac{1}{8}[/tex]

David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes.

Answers

The  unit rate in minutes per meter is 28.8 minutes per meter when  David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes

The given Depth of the aquarium  = 3/8 meters

Time taken to fill the aquarium  = 3 3/5 minutes

To find the  the unit rate in minutes per meter, we need to divide the time taken to fill the aquarium by the depth of the aquarium

So, Unit rate in minutes per meter = 3 3/5minutes ÷ 3/8 meters

                                                            = 18/5 ÷ 3/8

                                                              = 18/5 ×8/3

                                                             = 144/15

                                                             = 28.8 minutes per meter

Hence, the unit rate in minutes per meter is 28.8 minutes per meter when  David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes

The correct question is David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes. What is the unit rate in minutes per meter?

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Really need help on this problem

Answers

Solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].

How to Solve an Equation?

Given the equation, s = zr - 6zc^4, to solve the equation for z, follow the steps below:

We have to isolate the variable "z" to one side of the equation if we are to solve the equation for z.

s = zr - 6zc^4

Factor out variable z

s = z(r - 6c^4)

Divide both sides of the equation by (r - 6c^4)

s/(r - 6c^4) = z(r - 6c^4) / (r - 6c^4)

s/(r - 6c^4) = z

[tex]z = \frac{s}{r - 6c^4}[/tex]

Therefore, solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].

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Write a subtraction sentence where the difference is positive use a positive and a negative interference

Answers

The subtraction sentence where the difference is positive which uses a positive and negative integer are written as  5 - (-3) =8.

Integers are all real , rational numbers except the decimals and fractions. There are 3 types of integers : positive negative and zero integers.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

There are two cases;

Case 1;

when modulus of positive integer modulus of negative integer;

Example; 5 - (-3) = 5 + 3 = 8  (Here, |5| > |-3|)

Case 2;

when modulus of positive integer ≤ modulus of negative integer;

Example; 5 - (-10) = 5 + 10 = 15  (Here, |5| < |-10|)

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suppose that there are seven committees with each pair of committees having a common member and each person being on two committees. how many people are there?

Answers

Minimum number of meeting required is 5 meetings required

As mentioned, if there is an edge between two committees, both the committee has atleast one member in common.

So if we consider two committees with atleast one member in common, i.e. we select two different vertices with an edge in between, the common member(s) in the committee can discuss and exchange ideas between the committees and thus they don't require a meeting to be scheduled.

So looking at the graph we can say that we only need to schedule meetings between committee with no edge connecting them.

6C2 - |E| or 15 - 10

= 5 meetings

What is the role of the committees?

Committees keep an eye on ongoing government activities, spot problems that warrant legislative scrutiny, collect and assess data, and suggest courses of action to the Senate.

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washer and a dryer cost $618 combined. the washer costs $82 less than the dryer. what is the cost of the dryer?

Answers

Answer:

$227 = washing machine cost

$391 = dryer cost

Step-by-step explanation:

$618 divided by 2 = 309

309 - 82 = 227 = cost of washing machine

618 - 227 = 391 = cost of dryer

You can double-check by,

391 + 227

= 618

$227 = washing machine cost

$391 = dryer cost

Cheyenne is going to the store with $20.she wants buy as many bags of takis as she can. if takis are $1.50 per bag, what is the maximum number she can buy?

Answers

13 bags

$20/$1.50 = 13.3333
You can’t have 0.3 of a bag, so you round down to 13.

Cheyenne can buy a maximum of 13 bags of Takis.

We have,

To find the maximum number of bags of Takis Cheyenne can buy with $20, we need to divide the total amount of money she has by the cost per bag of Takis.

Cost per bag of Takis = $1.50

Total money Cheyenne has = $20

Maximum number of bags of Takis = Total money / Cost per bag

Maximum number of bags of Takis = $20 / $1.50

Maximum number of bags of Takis = 13.33

Since Cheyenne cannot buy a fraction of a bag, the maximum number of bags of Takis she can buy is 13.

Thus,

Cheyenne can buy a maximum of 13 bags of Takis.

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30 pointys!!!!!
Please tell me the answer, 30 points avaliable,

Answers

Answer:

10.97 mm

Step-by-step explanation:

Hello!

First, let's construct an altitude, as shown in the picture below. An altitude is a height from one point to another side, forming a 90° angle at that intersection.

The length of the altitude is the same as the missing length, they are both parallel.

The length from the altitude to the slant line would be 6, as found by subtracting 8 from 14.

If you look closely, we can see a right triangle, and 12.5 mm is the hypotenuse. We know the measure for another side, and we can solve for the altitude using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], a and b are legs, and c is the hypotenuse.

In this case, 6 and the altitude are legs.

Solve for the Altitude[tex]a^2 + b^2 = c^2[/tex][tex]A^2 + 6^2 = 12.5^2[/tex][tex]A^2 + 36 = 156.25[/tex][tex]A^2 = 120.25[/tex][tex]A = \sqrt{120.25}[/tex][tex]A \approx 10.97[/tex]

The altitude is around 10.97, so the missing length will also be 10.97 mm.

a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.

Answers

The height of the box is 12cm, having volume = 1200cm ³ .

What is the volume of triangular prism?

A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.

The formula yields the volume of a triangular prism.

Volume of triangular prism  = 1/2lwh

Where,

w = width

h = height

l = length.

We may determine the height by filling in the specified measurements.

1200cm ³ = 1/2 × (20 cm) × (10 cm) × h

h = (1200 cm³) / (100 cm²))

h = 12 cm

The box has a 12 centimeter height.

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Complete the sentence.
4ft= ____ in.

Answers

4ft = 48in or 4 feet is equivalent to 48 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of length: feet and inches.

From there, we can say that we are asked how many inches are there in 4 feet

Converting feet to inches, we must use the conversion

1 foot = 12 inches

4ft = 4 (12 inches)

4ft = 48in

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PLS HELP
4.8kg=_______mg
3.2kg=_______dg
mg=milligarm
dg=decigram

Answers

Answer: 4,800,000 mg

32,000 dg

Step-by-step explanation:

1 kg=1000 g

1 g=1000 mg

1 kg * 1000 g/1 kg * 1000 mg/1 g=

1*1000*1000=1,000,000 mg

1 kg=1,000,000 mg

4.8 kg=

4.8*1000000=4,800,000 mg

1 g=10 dg

3.2 kg =

3.2 kg * 1000 g/1 kg * 10 dg/1 g=

3.2*1000*10=

3.2*10,000=32,000 dg

If 9 (x-9) = -11, then x =?
O-92/9
O-20/9
O-11/9
O-2/9
O70/9

Answers

Answer:

◉ 70/9

Step-by-step explanation:

9(x - 9) = -11

9x - 81 = -11

9x = 70

x = 70/9

The number of people in a movie theater. Identify the set of numbers that best describes the situation. Explain your choice.

Answers

the movie theater that everyone else was in there and i is that we had to get a little bit to do that we had the one time that you were talking to me i is the

There are green grapes and black grapes in the ratio 3:4 if there are 24 green grapes how many black grapes are there?

Answers

24/3 = 8

8 x 4 = 32 black grapes

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

Answers

In the given statement is :

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.

Survivorship Curve:

The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.

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Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent. round to the leading digit to determine approximately how many countries edna has visited.

Answers

Edna has visited 44 countries.

For given question,

Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent.

Here each continent  has 11 countries.

She visited 4 different continents.

So, the total number of countries she has visited would be given by an expression,

11 × 4

We solve above expression to  determine how many countries Edna has visited.

11 × 4 = 44

Therefore, approximately 44 countries Edna has visited.

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calculate the value of the expressions а) 12^9\2^15•3^7 б) ((5^8/7) ^7/4-(2^-2) ^-3/32) •(46) ^-1​

Answers

Answer:

Step-by-step explanation:

0

Please help math 100 points! Decimal Rounding

Answers

Answer:

a: 0.5 + 0.3 = 0.8

b: 2.7 + 28.2 = 30.9

c: 3.1 + 2.4 + 9.9 = 15.4

d: 15.2 + 1.4 + 0.8 = 17.4

e: 39.2 + 2.5 + 0.8 = 42.5

Step-by-step explanation:

I did the assignment and I got it right



as estimate √200 to the nearest who le numbers

Answers

Answer:

10√2

or in decimal form:

14.1

Hope this helps! <3

14

(Blank space filler)


Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.
a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.

Answers

If the American Heart Association suggests a target heart rate of T=0.75(220-a),  Proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

Target heart rate

a. Given:

T=0.75(220-a)

where

T =a person's target heart rate

a= his or her age

Prove:

Hence:

T=0.75(220-a)

T/0.75=220-a

T/0.75-220=a

-T/0.75+220=a

a=-T/0.75+220

a=220-T/0.75

b. How old is she:

a=220-T/0.75

where:

T=153

Substitution

a=220-153/0.75

a=220-204

a=16 years

Therefore proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

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The complete question is:

Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.

a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.

b. If Mai-Lin’s target heart rate is 153, then how old is she? What property justifies your calculation?

What is the value of 5x2 + x if x = 4?

404
84
44
24

Answers

Answer:

44

Step-by-step explanation:

(5)(4)(2) + 4 Calculate the product

40 + 4 Add

= 44

Answer: its 44 :D

have a great day young boy

In the diagram, PQRS is a square. (a) Show that triangles PQU, QRV, RSW and SPT are congruent. (b) Show that TUVW is a square.​

Answers

Answer:

(a)=∆PQU,∆QRV,∆RSW and ∆SPT are congruent.

Step-by-step explanation:

PQRS is square (given)

PQ=QR=RS=PS

C. C. A different class is made up of 40â% women and has 20 women in it. What is the total number of students in theâ class?

Answers

Total number of students in a class is 50.

A class has 40% of women.

Total Number of women in a class = 20                              equation 1

Let total number of students in a class = x

According to the question a class has 40% of women. Mathematically we can write it as,

Total Number of women in a class = 40 % of x

Total Number of women in a class = ( (40x) / 100 )               equation 2

On equating equation 1 and equation 2, we get

20 = ( (40x) / 100 )

⇒ 40x = 2000

⇒ x = 50

Total number of students in a class is 50.

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Easy math question n

Answers

Answer: [tex]|x| \leq 5[/tex] (the last option)

Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.

THIS IS EASY?? OH HELL NO-

in an election for class president,jason received 170 of the 250 votes . what percent of the vote did he receive

Answers

Answer: 68%

Step-by-step explanation:

170/250=

17/25=

0.68=

0.68 * 1=

0.68 * 100%=68%

When some software companies develop software, they do it with "planned obsolescence"
in mind. This means that they plan on the sale of the software to rise, hit a point of
maximum sales, then drop and eventually stop when they release a newer version of the
software. Suppose a graph of the curve showing the number of sales over time can be
modeled with a parabola and that the company plans on the "life span" of its product to be
6 months, with maximum sales reaching 1.5 million units. Write an equation that models
this situation.

Answers

The equation of the parabola that models the given situation is y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.

Define parabola and its types.

A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.

To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by  y = [tex]a(x-h)^{2}[/tex]+ k or x = [tex]a(y-k)^2[/tex] +h, where (h,k) denotes the vertex. A regular parabola's standard equation is [tex]y^2[/tex] = 4ax.

Now, the equation of parabola for the given situation is calculated as:

y = [tex]a(x-3)^2[/tex]+ 1.5

Now, put the value of x = 0 and y = 0.

0 = [tex]a(0-3)^2[/tex]+ 1.5

0 = 9a + 1.5

-9a = 1.5

a = - 1.5/9

a = -1/6

Now, put the value of a in equation y = [tex]a(x-3)^2[/tex]+ 1.5 to obtain:

y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.

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find the distance of a speed of 15m/s for 5 minutes

Answers

15m/s * 1km/1000m*60s/1 min*60 min/1hr=

You do the calculation.

Here are the conversions used in the conversion.

1km = 1000 m, 60 seconds = 1 minute, 60 minutes = 1 hour.

When you set up the problem the 15 meters is in the numerator and 1 second is in the denominator. To convert the 15 meters to km the next conversion factor needs to have 1km in the numerator and 1000 meters in the denominator. Now the 15 m will be divided by 1000 m which cancels the meters and leaves km.

The seconds in 15 m/s is in the denominator so to convert seconds to hours multiply by 60 seconds placing it in the numerator over 1 minutes. Use the same idea to set up the conversion from minutes to hours.

Practice this conversion. It is a fundamental conversion that any middle school student should know how to do.

logp(5) = x, logp(7) =y
Write logp([5p^2]/49) in terms of x and y

Answers

The expression is x+2-2y

It is given to us that logp5=x and logp7=y

Now we are required to find logp(5p^2)/49 in terms of x and y

we know that in logarithmic formulas

loga^b=b loga

logab = log a+log b

log a/b= log a- log b

Now using these formulas to find the solution,

logp 5p^2/49

= logp5+ logp p^2 -log 49

=logp5+2 logpp-2log7

we know that logpp=1,hence

= logp5+2 -2 logp7

=x+2-2y

Hence the expression is x+2-2y

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If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.

Answers

The value of angle m< EBF  is determined as 56⁰.

What is the sum of angles in a straight line?

The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.

m< EBC  + m< ABE = 180

3y + 10 + 2y - 20 = 180

5y - 10 = 180

5y = 180 + 10

5y = 190

y = 190/5

y = 38

The value of m< EBF is calculated as follows;

Assuming equal division, m< EBF = m< ABE

m< EBF = 2y - 20

m< EBF = 2(38) - 20

m< EBF = 56⁰

Thus, the value of angle m< EBF  is determined as 56⁰.

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Which description matches the graph of the inequality y > x + 4?

Answers

The graph of the inequality y > x + 4 matches the description in Option(c)

a shaded region above a dashed boundary line.

How to graph Linear Inequalities?A linear inequality is similar to a linear equation, but instead of a =, it will have an inequality sign like >,<, or ≤,≥.Place "y" on the left and the remaining variables on the right in the equation.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>).Shade above the line in the graph for a "greater than" (y> or y≥)or below the line in the graph for a "less than" (y< or y≤).

Given function: y > x + 4

Let's plot the graph of the given function and then match it with the options to see which is the solution.

So we will Plot y = x + 4 (as a dashed line because y > )

the coordinates will be,

x = 0 , y = 4

x = -1 , y = 3

x = -2 , y = 2

x =  1 , y = 5

x = 2 , y = 6

The purple shaded region satisfies the inequality y > x + 4.

Hence the graph description is a shaded region above a dashed boundary line.

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The complete question is: "Which description matches the graph of the inequality y > x + 4?

a) a shaded region above a solid boundary line

b) a shaded region below a solid boundary line

c) a shaded region above a dashed boundary line

d) a shaded region below a dashed boundary line."

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