D
.0
A
58d
B
A, B, C and D are points on a circle, centre O.
Angle ABC = 58°
Calculate the size of angle ADC.
(1 mark)
Diagram NOT
accurately drawn

D.0A58dBA, B, C And D Are Points On A Circle, Centre O.Angle ABC = 58Calculate The Size Of Angle ADC.(1

Answers

Answer 1

Answer:

∠ ADC = 122°

Step-by-step explanation:

ABCD is a cyclic quadrilateral.

opposite angles in a cyclic quadrilateral sum to 180° , that is

∠ ADC + ∠ ABC = 180∠

∠ ADC + 58° = 180° ( subtract 58° from both sides )

∠ ADC = 122°


Related Questions

Please help ASAP
1. Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bucket of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.

Answers

The graph that shows the given situation is attached, and the required solution is the inequality 4x + 2y ≥ 45.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We have been given that the price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.

The total amount of spend is $45

As per the given condition, the required inequality would be as

4x + 2y ≥ 45

The situation's representation is in the attached graph with labels for the intercepts.

Here y-axis represents the number of drinks, and the x-axis represents the number of buckets of popcorn.

Thus, the graph that shows the given situation is attached, and the required solution is the inequality 4x + 2y ≥ 45.

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Please help ASAP1. Kevin took $45 with him to spend on snack for himself and his friends at the movie

Evaluate the powers of 3 to find each value.?

Evaluate the powers of 3 to find each value.?

Answers

Answer:

The value of 3^-2 is 1/9

Step-by-step explanation:

This is because negative exponent such as \(2^{-1}\) transfer to 1/2. Therefore, you might notice a pattern of negative exponent -> fraction. 3^-2 -> 1/(3^2)-> 1/9

PLEASE MARK BRAINIEST IF THIS HELPED!!!

Answer:

1 /91327

Step-by-step explanation:

Concept:

Here, we need to know the idea of exponents.

The exponent of a number says how many times to use the number in a multiplication.

When the exponent is positive, just multiply the base number by the number of times the exponent states.For example: 5² = 5 × 5 = 25When the exponent is negative, turn to the reciprocal of the base number, then multiply the base number by the number of times the exponent states as the denominator.For example: 6⁻² = 1 / 6² = 1 / (6 × 6) = 1/36

Any number to the 0th power, it is equal to 1.

Solve:

Question 1. What is the value of 3⁻²?

The exponent ⁻² on 3² is negative3⁻² = 1 / 3² = 1 / (3 × 3) = 1/9

Question 2. What is the value of 3⁰?

The exponent of 3⁰ is 03⁰ = 1

Question 3. What is the value of 3¹?

The exponent of 3¹ is positive3¹ = 3

Question 4. What is the value of 3³?

The exponent of 3³ is positive3³ = 3 × 3 × 3 = 27

Hope this helps!! :)

Please let me know if you have any questions

-3+(-8)

how do you answer the question?

Answers

Answer:

-11

Step-by-step explanation:

Three negatives and eight negatives are eleven negatives all together.

Answer:

-11

Step-by-step explanation:

-3+(-8)= -11

Is the inequality true or false?

−7 ≤−6

true


false

Answers

Answer:

The answer is true.

Step-by-step explanation:

Because we are working on negative integers and if a negative number is leaning more to the right on a number line it is bigger.

Evaluate (p√−3)+q when p = 25 and q = 21

Answers

Answer:

21 + 25i√3

Step-by-step explanation:

⇒ equation: (p√−3)+q

⇒ p = 25

⇒ q = 21

Plug in:

((25)√−3) + 21

√−3 = i√3

25i√3 + 21

The perimeter of a rectangular swimming pool is 70 yards. Its length is 24 yards. Which of the following can be used to find the width?

Answers

Perimeter is the total distance around the edge of a two-dimensional shape. It is calculated by adding up the lengths of all sides of the shape.

Calculations:

Let the width of the swimming pool be represented by 'w'.

The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

In this case, we are given the perimeter and the length, so we can substitute those values into the formula and solve for the width:

70 = 2(24 + w)

Dividing both sides by 2, we get:

35 = 24 + w

Subtracting 24 from both sides, we get:

w = 11

Therefore, the width of the swimming pool is 11 yards.

So the equation that can be used to find the width is:

w = (Perimeter - 2×length)/2

or

w = (70 - 2×24)/2 = 11.

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Can someone help me out please please

Answers

To answer this question we will use the following property of logarithms:

\(\ln a^b=b\ln a.\)

Dividing the given equation by 4 we get:

\(\frac{4*8^x}{4}=\frac{11.48}{4}.\)

Simplifying the above result we get:

\(8^x=2.87.\)

Applying the natural logarithm we get:

\(\ln8^x=\ln2.87.\)

Applying the property of logarithms we get:

\(x\ln8=\ln2.87.\)

Therefore:

\(x=\frac{\ln2.87}{\ln8}\approx0.51.\)

Answer: Option D.

a certain rectangle's length is 2 ft longer than its width. if the area of the rectangle is 63 square feet, find its dimensions.

Answers

The dimensions of the rectangle are 7 feet by 9 feet.

Let's use algebra to solve this problem.

Let x be the width of the rectangle in feet. Then, according to the problem, the length of the rectangle is 2 feet longer than the width, or x + 2 feet.

The area of a rectangle is given by the formula\(A = length x width.\) So, we can write:

A = (x + 2) x x

Simplifying this expression, we get:

A = x^2 + 2x

We know from the problem that the area of the rectangle is 63 square feet. So, we can substitute this value for A and solve for x:

63 = x^2 + 2x

Rewriting this equation in standard form:

x^2 + 2x - 63 = 0

Now, we can use the quadratic formula to solve for x:

x = (-2 ± sqrt(2^2 - 4(1)(-63))) / (2(1))

x = (-2 ± sqrt(4 + 252)) / 2

x = (-2 ± sqrt(256)) / 2

x = (-2 ± 16) / 2

x = -9 or x = 7

Since the width of the rectangle cannot be negative, we reject the solution x = -9. Therefore, the width of the rectangle is 7 feet.

The length of the rectangle is 2 feet longer than the width, or x + 2 = 7 + 2 = 9 feet.

So, the dimensions of the rectangle are 7 feet by 9 feet.

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HELP ASAP PLEASE ------ for the function f(x)=x^2 what effect will multiplying f(x) b y 1/4 have on the graph

Answers

Answer:

Vertical Shrink of a factor of 1/4

Step-by-step explanation:

Since we are manipulating a in f(x) = a(bx - h)² + k, we are dealing with vertical stretch (x > 1) and vertical shrink (x < 1). Since 1/4 < 1, we have a vertical shrink of 1/4.

Answer:  if you multiply the f(x) by 1/4 the graph seems to narrow, which is interpreted as a positive vertical shift .  The y value (output)  is 4 times greater

If you multiply the x² by 1/4, the graph seems to widen, which is interpreted as a negative vertical shift.  The y value is less by a factor of 1/4

Step-by-step explanation:  I am reading the question literally: multiplying f(x) by 1/4.  (This may be dangerous as mathematicians have their own lingo, and some words have specialized meanings that English majors haven't learned!)

I understand that f(x) or any other function is the y-output. So in order to graph a function, it is legitimate to substitute "y" for f(x).

I am attaching a graph with the f(x)=x² in red       f(x) = (1/4)x²  in green  and  (1/4)f(x) = x²  in blue.

As you can see, very different results:  Substituting 2 for x  

in red original  4 = 2²  

in green f(x) = (1/4)(2²) .  1 = (1/4)(4)

in blue (1/4)f(x) = x²   (1/4) 16 = (2²) =.  This is probably not the intended result, but it is literally what happens if you multiply the left side!  16  is the output on the graph.

So, despite my efforts to make sense of this, I realize that this answer is mistaken, and I hope someone can clear up my confusion, please!

HELP ASAP PLEASE ------ for the function f(x)=x^2 what effect will multiplying f(x) b y 1/4 have on the
HELP ASAP PLEASE ------ for the function f(x)=x^2 what effect will multiplying f(x) b y 1/4 have on the

Can yu guys help me out

Can yu guys help me out

Answers

Answer:

they are already answered

Step-by-step explanation:

Right?

In Texas, the coldest temperature ever recorded is

23°F. That's a lot chillier than in Florida, where the coldest recorded temperature is

2°F.

Answers

Answer:

21

Step-by-step explanation:

21+-23= -2

so the answer is "21"

Answer:21 points

Step-by-step explanation:

A recipe uses 300300300 grams of flour for every 200200200 grams of sugar. 1. Write an equation that represents how many grams of flour we need (fff) for some number of grams of sugar (sss).

Answers

Ratio is always written as x/y where y can never be zero.

Grams of flour needed for every 200200200 and grams of sugar = 300300300 grams

The equation that represents how many grams of flour we need for some grams of sugar is fff = 222/333

Let’s assume fff as grams of flour and sss as grams of sugar.

So, the ratio for grams of flour:grams of sugar will be,

= fff:sss = 200200200:300300300

Hence, fff = 222/333 × sss

Ratio is a comparison between two things where it tells how much one thing contains the other thing.

Hence the answer is, Ratio is always written as x/y where y can never be zero.

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Answer:

your equation is f = 3/2s   so you're going to have to need 750 grams of flour for 500 grams of flour

Violet light (410 nm) and red light (685 nm) pass through a diffraction grating with a d=3.33x10-6 m. what is the angular separation between them for m=2?

Answers

The angular separation between violet light (410 nm) and red light (685 nm) passing through a diffraction grating with a spacing of d = 3.33x10^(-6) m can be calculated using the formula for angular separation in diffraction, given by θ = λ / d, where θ is the angular separation, λ is the wavelength, and d is the grating spacing.

For violet light with a wavelength of 410 nm (4.10x10^(-7) m), the angular separation for m = 2 is θ_violet = λ_violet / d = (4.10x10^(-7) m) / (3.33x10^(-6) m) = 0.123 radians.

For red light with a wavelength of 685 nm (6.85x10^(-7) m), the angular separation for m = 2 is θ_red = λ_red / d = (6.85x10^(-7) m) / (3.33x10^(-6) m) = 0.206 radians.

Therefore, the angular separation between violet and red light for m = 2 is 0.206 radians - 0.123 radians = 0.083 radians.

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The number of boys and girls in a school are 480 and 384 respectively. Express the ratio of the number of boys to that of girls.

Answers

Answer:

Step-by-step explanation:

The simplest form of

480:384 is 5:4 the greatest common factor is 96 so divide the 2 numbers and you will get 4:5

.

Have a great day

Mark brainliest !!!

How many minutes should I spend on each question with a 75 question test and a 3 and a half hour time limit?

Answers

you should try to keep it under 5 minutes.

since there will be easier ones and harder ones, its ok to take up to 10 minutes on a test as long a you try to get the easy ones done first. if you can skip questions then go back to them later, do the hardest ones first thengo back and do the easier ones afterwards.

Try to take your time when you need to. if you get stuck, think about what it says. Try to think of it another way. You also want to get as much done as you can, this is because if you miss 5-10 questions, the grade could be seriously decreased, as you might have gotten a few other questions wrong.

Make sure to do a "QC" as I call it; or a "Quick Check." If it looks good and it's reasonable then you are fine to move on. it it doesnt look right, retrace your steps. Then rewrite it if you got something else on your next try for the QC.

I hope you do good!

May luck be with you!

You start the day with $27 in cash. You spend $14 at the movie theater and $9 on lunch. You end the day by cashing a $30 check. What is the change in the amount of cash you carry throughout the day?

Answers

Answer:at the end of the day u have 34 dollars

the amount that u carry around is 4 dollars.

Step-by-step explanation: $27-14=13

13-9=4.

4+30=34.

Hope this helped.

An investment portfolio is shown below.
Investment
Money Market Account $3,200
Government Bond
$1,750
Preferred Stock
$1,235
Common Stock
$2,300
O 0.5%
O 1.1%
Amount Invested ROR
02.3%
O 3.5%
2.1%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to
the nearest tenth of a percent.
4.4%
-7.8%
10.5%

An investment portfolio is shown below.InvestmentMoney Market Account $3,200Government Bond$1,750Preferred

Answers

Using a calculator, the difference between the arithmetic average ROR and the weighted average ROR is Option B) 0.1%

How did we arrive at this conclusion?

arithmetic average ROR is given as

(2.1% + 4.4% - 7.8% + 10.5%) / 4 =  0.02300


The Weighted Average ROR

[(0.021 x 3200 ) + (0.044 x  1750) + (-0.078 x 1235) + (0.105 x   2300)] / (3200 + 1750 + 1235 + 2300) =  0.0341037124337065

Thus:

The Weighted Average ROR - arithmetic average ROR

= 0.0341037124337065 - 0.02300

= 0.01110371243 x 100

= 1.11037124337%

≈ 1.1%

So we are correct to state that Option B is the right answer.

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Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²

Which number should be added toboth sides of this quadratic equationto complete the square?(-3/2) + 1

Answers

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Picture

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

2.2
Determine the length of the rectangle if the area is 800 cm² and the breadth is 20 cm

Answers

Answer:

40 cm

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is the length and b the breadth )

Here b = 20 and A = 800 , then

l × 20 = 800 ( divide both sides by 20 )

l = 40 cm

What is the value of sin B?

- 3/4

- 4/5

- 3/5

- 5/3

What is the value of sin B?- 3/4- 4/5- 3/5- 5/3

Answers

Answer: \(\frac{3}{5}\)

Step-by-step explanation:

To find sin B, you should use the rules of SOH CAH TOA.

SOH - which is for Sin = Opposite/HypotenuseCAH - which is for Cos = Adjacent/HypotenuseTOA - which is for Tan = Opposite/Adjacent

so the opposite side of B would be 3 and the hypotenuse of the triangle is 5 which gives the answer \(\frac{3}{5}\)

:) :) :) :) :) ;0 ;0 ;0 ;0 ;0

Answers

thank you for the pointsss!

Answer:

What is the question?????????\

Step-by-step explanation:

please help me with this,

please help me with this,

Answers

Answer:

circumference of circle =२pie R

2*22/7*18

=113.14feet

Step-by-step explanation:

plz make me brainliest

Increase £490 by 11% give your answer rounded to 2 DP

Answers

Step-by-step explanation:

Given \:number (m) = £ 490Givennumber(m)=£490

Increase (g) = 11\%Increase(g)=11%

\begin{gathered} \red{ Required \:number } \\= m\Big( \frac{(100+g)}{100} \Big)\\= 490\Big(\frac{100+11}{100}\Big)\\= 490 \times \frac{111}{100} \\= 490 \times 1.11 \\= £ 543.9 \end{gathered}

Requirednumber

=m(

100

(100+g)

)

=490(

100

100+11

)

=490×

100

111

=490×1.11

=£543.9

Therefore.,

\red{ Required \:number }\green { = £ 543.9}Requirednumber=£543.9

•••♪

Answer:

£543.90

Step-by-step explanation:

You have to add 2 and nothing

On April 3, there were 18 flowers budding in a rose garden. On April 6,

there were 30. On April 9, there were 50 flowers. How many flowers will

there be on April 15?

Provide a whole number for an answer.

Answers

On April 15, there will be 50 + 28 + 36 = 114 flowers in the rose garden. So, the answer is 114 flowers as a whole number.

We are given the number of flowers budding in a rose garden on three different dates- April 3, April 6, and April 9. We can observe that there is a difference of 12 flowers between April 3 and April 6, and a difference of 20 flowers between April 6 and April 9. Thus, we can conclude that the number of flowers is increasing at a faster rate in the second three-day period. To find the number of flowers on April 15, we need to continue this pattern of increase. From April 9 to April 12, we can predict that there will be an increase of 30 flowers (as the rate of increase has been consistently higher in each three-day period). Therefore, on April 12, there will be a total of 80 flowers in the rose garden.

Continuing with the same pattern, we can predict that there will be an increase of 40 flowers from April 12 to April 15. Therefore, on April 15, there will be a total of 120 flowers in the rose garden.We can predict that there will be 120 flowers in the rose garden on April 15. From April 3 to April 6 (three days), the number of flowers increased from 18 to 30, which is an increase of 12 flowers. From April 6 to April 9 (another three days), the number increased from 30 to 50, an increase of 20 flowers.

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if a = 7 and b = 2 find the value of (a - 3) squared​

Answers

Step-by-step explanation:

a = 7

(a - 3)² = (7 - 3)² = (4)² = 16

Nicole had the exact amount of money to buy 9 pens.
Instead she bought only 5 pens.
She used the rest of the money to buy 7 notebooks at $1.20 each.
How much money did Nicole have at first?​

Answers

Answer:

18.90$

Step-by-step explanation:

Pen = p

Notes = n

n = 1.20

5p + 7n = 9p

-9p + 5p + 7n = 0

-4p + 7n = 0

-4p + (7*1.2) = 0

-4p + 8.4 = 0

8.4/4 = p

2.1 = p

9p = 9*2.1

9p = 18.90$

easy 10 points and brainliest!

easy 10 points and brainliest!

Answers

Answer:

x must be 0

Step-by-step explanation:

because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0

Answer:

x = 0

Step-by-step explanation:

If the point (x,y) is on the y-axis, that means the x coordinate is 0.  The point can travel vertically anywhere on the axis, but not left or right of the axis.

Cheers.

The denominator of Bayes' Theorem uses the x (3 words, hint: see equation 2-11) Total Probability Rule (Two Events) For any events A and B, P(B) = P(BnA) + P (BnA) = P(B|A)P (A) + P(BA')P (A')

Answers

The denominator of Bayes' Theorem uses the Total Probability Rule.

Therefore the answer is total probability rule.

The Total Probability Rule states that for any events A and B, P(B) = P(B|A)P(A) + P(B|A')P(A'). In other words, the probability of event B happening is equal to the probability of event B happening given that event A has occurred, multiplied by the probability of event A occurring, plus the probability of event B happening given that event A has not occurred, multiplied by the probability of event A not occurring.

The denominator of Bayes' Theorem uses the Total Probability Rule to ensure that the probabilities of all the possible events sum up to 1, which is a requirement of any valid probability distribution. The denominator in Bayes' Theorem represents the normalizing constant that makes the probabilities of the different hypotheses sum to 1. The Total Probability Rule is used to calculate this normalizing constant by summing the probabilities of the hypotheses given the data over all possible values of the data.

--The question is not readable, the question is --

"The denominator of Bayes' Theorem uses the ___ ___ ___.

Hint : Total Probability Rule (Two Events)

For any events A and B,

P(B) = P(B∩A) + P (B∩A') = P(B|A)P(A) + P(B|A')P(A')  "

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In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of the cocktail is apple juice?
Give your answer as a fraction in its simplest form

Answers

Answer:

Step-by-step explanation:

Get the LCM of the three numbers to get the ml of the total juice.

You take the LCM and divide it by the 25ml of the apple juice.

PLEASE HELP

G(Ax)) may not be equal to HG(x)).
O A. True
O B. False

Answers

Answer:

A. True

・ᗜ・ ¯\_(ツ)_/¯

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