1. Calculate the area of a major segment whose chord subtends angle of 85 at the centre of a circle of radius 3cm. 2. A solid cone has a base radius of 3cm and a vertical height of 21cm. Calculate its volume.

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

Answer:

aₙ=  n²-6

Step-by-step explanation:

The sequence:

- 5, -2, 3, 10, 19, ...

The difference between terms:

3, 5, 7, 9

The next term would be: 19+11= 30

Let's work out the formula:

aₙ= a₁+n²-1= -5+ n²-1= n²-6

Let's test this formula for 5th and 6th terms:

So the nth term is:

Answer:

16ft

Step-by-step explanation:

Each side is 2 units long, 2^4 or 2x2x2x2 is 16.

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

Right triangle as it has 90° angle

Sides are a, b and 19 cm

When we have a number that appears

right before a variable, it means multiplication.

So 4n means the same thing as 4 times a number.

Remember, n is a variable which is just a

letter that represents any number.

Since we are adding 3 to 4n, we can say

4 times a number increased by 3.

So 4n + 3 can be written as 4 times a number increased by 3.

The product is 4n, then the added +3.

4n + 3

4 × n + 3

So the verbal expression can be said as:

''The product of four times a number 'n' added with 3.''

Answer:

C. Multiply the bottom equation by 2

Step-by-step explanation:

-2x+ 4y= 10

3x- 2y =-7

We want to multiply the second equation by 2

-2x+ 4y= 10

6x- 4y =-14

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

4x +0y = -4

Answer:

C. Multiply the bottom equation by 2

x = - 1

y = 2

Step-by-step explanation:

Multiplying 3x - 2y = - 7 by 2, we get:  

- 2x + 4y = 10

6x - 4y = - 14

____________

4x = - 4

x = - 1

Putting x = - 1 in 3x - 2y = - 7, we get:

3 * (- 1) - 2y = - 7

= - 3 - 2y = - 7

= - 2y = - 7 + 3

= - 2y = - 4

= y = 2

Hope this helps!

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

Adult 36

Children 9

senior 27

Step-by-step explanation:

We have 3 types of tickets as seen from the question;

Adult, children and seniors tickets.

Now, looking at the question critically,

Since the ratio of adults to children and senior citizens stands at 4: a specific value, we can then conclude that the ratio of tickets sold is 4:1:3

where 1 and 3 represents the ratio for the children and seniors respectively

So let’s calculate the individual ratio now.

For the total, we have 4 + 1 + 3 = 8

Thus, for the adults, we have 4/8 * 72 = 36

For the children, we have 1/8 * 72 = 9

For the seniors, we have 3/8 * 72 = 27

Answer:

  O True

Step-by-step explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

  0 < 2·0 +4   ⇒   0 < 4 . . . true

  0 > -2·0 -2   ⇒   0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.

Answer:

They have 23 dimes

Step-by-step explanation:

Let x be the number of dimes

1 dime = 0.1 dollar

x dimes = 0.1x dollars

They found there were 14 more quarters than dimes.

No. of quarters = x+14

1 quarter = 0.25 dollar

(x+14) quarter =0.25 (x+14)

The number of nickels was 8 less than 4 times the number of dimes.

So, No. of nickels= 4x-8

1 nickel = 0.05 dollar

(4x-8) nickel = 0.05(4x-8) dollar

The total value of the nickels, dimes, and quarters was $15.75.

So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75

x=23

Hence they have 23 dimes

Answer:

x=-3+7y

Step-by-step explanation:

add 7y to both sides then divide by 6 to get x by itself,you end up with x=-3+7y

Answer:

x=7y/6-1/3

Step-by-step explanation:

You have 6x -7y = -2 add 7y on both sides

6x = 7y -2 divide by 6

x=7y/6-1/3

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

Answer: -2, 0 and 0, 2 and 2, 4

Step-by-step explanation:

The complete table of values for y = 2x² + x are (4, -2), (0, 0) and (2, 10)

Given:

y = 2x² + x

substitute the value of x to get the corresponding value of y

when x = -2

y = 2x² + x

= 2(-2)² + (-2)

= 2(4) - 2

= 6 - 2

= 4

(x, y) = (4, -2)

when x = 0

y = 2x² + x

= 2(0)² + 0

= 2(0) + 0

= 0 + 0

= 0

(x, y) = (0, 0)

when x = 2

y = 2x² + x

= 2(2)² + 2

= 2(4) + 2

= 8 + 2

= 10

(x, y) = (2, 10)

Therefore, the corresponding values of x and y is (4, -2), (0, 0) and (2, 10)

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Answer:

[tex] - x {}^{2} - 10 = 34[/tex]

Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

you can't factorize it in rational numbers

Answer: A—f(x)=1/(x-3)(x+3)

Step-by-step explanation:

The given graph is of the function :    

[tex]F(x) = \dfrac{1}{(x-3)(x+3)}[/tex]  
Hence, option (A) is correct.

Let’s draw the graphs for all the given options:

For option(A):

[tex]F(x) =\dfrac{ 1}{(x-3)(x+3)}[/tex]

For option (B):

[tex]F(X) = \dfrac{(x+3)}{(x-3)}[/tex]

For option(C):

[tex]F(x) = \dfrac{1}{x(x-3)}[/tex]

For option (D):

[tex]F(x) = \dfrac{1}{x(x-3)(x+3)}[/tex]

From all the attached graphs, we can infer that  the given graph is of the function   [tex]F(x) = \dfrac{1}{(x-3)(x+3)}[/tex]. This function is defined for all real numbers except x = 3 and x = -3. With having two vertical asymptotes at x = 3 and x = -3 because denominator is zero for these values. Here the degree of the numerator is 1 which is less than the degree of the denominator which is 2, there is a horizontal asymptote at y = 0 (the x-axis). As x approaches positive or negative infinity, the function approaches zero.

Hence, option (A) is correct.

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Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

Answer:

D.

Step-by-step explanation:

So angle 2 = 180 - angle 1

Angle 1 = angle 3 + angle 4.

Angle 2 = 180 - angle 3 - angle 4

So, you can come to the conclusion that (angle 1 + angle 2) = 180°

and (angle 3 + angle 4 + angle 2) = 180°

Answer:

Step-by-step explanation:

Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.

The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...

  gardener's drawing = (1/4)actual size

  actual size = 4(gardener's drawing)

__

The partner's drawing is 1/20 of actual size, so is ...

  partner's drawing = actual size/20 = (4(gardener's drawing))/20

  partner's drawing = (4/20)(gardener's drawing)

  partner's drawing = (gardener's drawing)/5

__

Then the {length, width} of the partner's drawing are ...

  partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}

The partner's drawing has a length of 3 inches and a width of 2 inches.

The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

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Answer:

Option D

Step-by-step explanation:

All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.

Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

Answer:

10

Step-by-step explanation:

i have no flipping i think im wrong

Answer:

m<M = 113 deg

m<N = 61 deg

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

m<M + m<K = 180

m<N + m<L = 180

m<M + 67 = 180

m<M = 113

m<N + 119 = 180

m<N = 61

Answer:

The constant of proportionality (k) is 24

Step-by-step explanation:

if y varies inversely as x

y = k × 1/x

and y = k/x

if y = 4 and x = 6

That means 4 = k/6

and k = 4 × 6

k = 24

Answer:

The first choice.

Step-by-step explanation:

Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.

Here k = 3..

Answer: [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

When any number has a negative exponent, all the negative exponent is doing is flipping the sides.

When we plug -3 in for x we get [tex]-3^{-2}[/tex].

Now just imagine the -3 in fraction form as [tex]\frac{-3}{1}[/tex]. And all you do now is just flip the sides to get [tex](\frac{1}{-3} )^{2}[/tex]

And now apply the exponent 2 to the 1 and negative 3.

1 to the power of 2 is just 1

-3 to the power of 2 is 9.

So your answer is [tex]\frac{1}{9}[/tex]