The diagram shows a circle with centre
O.
A, B, and C lie on the circumference of
the circle.
X, A and Y lie on a tangent to the circle.
Work out:
(i) (ii) ABC
С
x
ö
163°
В
B
A69°
The diagram is not drawn accurately.
r
o
O
ACB =
=
.
0
LABCE
0

Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

\(\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)\)

\(\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\\)

8x + 9y = 60 -------------------------(ii)

Multiply  equation (i) by (-2)

(i)*(-2)              -8x -6y = -48

(ii)                     8x +9y = 60   {Now add. x will be cancelled}

                                3y = 12    {Divide both sides by 3}

                                  y = 12/3

y = 4

Substitute y = 4 in equation (i)

4x + 3*4 = 24

4x + 12   = 24

         4x = 24 - 12

         4x = 12

           x = 12/4

x = 3

\(\boxed{x = 3 \ ; \ y = 4}\)

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

QUESTION. What is the Scale factor of 35 to 42

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

\(\boxed {\tt 25/35}\)

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

The Scale Factor of 35/42 is the relative difference of one fraction or number (a) to another fraction or number prime (a′). In other words, 35/42 is what you multiply (number a) by to get (number a prime).

In a multiplication problem, we have a multiplier, multiplicand, and a product. You could say that (a) is the multiplier, the Scale Factor of 35/42 is the multiplicand, and (a′) is the product:

multiplier × multiplicand = product

multiplier × scale factor = product

a × 35/42 = a′

In the calculator below, you can enter the multiplier (a) as a fraction. We will then multiply it by the Scale Factor of 35/42 and give you the product (a′) in its simplest form possible.

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

1.

Speed = distance ÷ time

distance = speed × time

given,

distance = 75 × 1/3

distance = 25km

2.

Time= distance ÷ speed

given,

speed = 75km/h

distance = 250km

time = 250 ÷75

time = 1/3 h

Answer:

a. The present value of these receivables is $42,123.64

b. The total value at the end of 10 years is $69,257.02

c. The present value of these payments is $10,059.37

Step-by-step explanation:

The given function is:

Notice that the function is a Square Root function.

The parent function of the square root function is:

Hence, the graph that matches this function is the graph shown below:

the answer is 63

Step-by-step explanation

18 x 3.5=63

Answer: 63 pages

Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.

Answer:

48.

Step-by-step explanation:

8 < 16 < 48

48 > 16 > 8

Answer:

Step-by-step explanation:

Select largest number from 16,48,8

Answer:NOTEBOOK= 4

THUMB DRIVE=20

Step-by-step explanation:

The cost of thumbdrive and notebook purchased are $20 and $4 respectively

Let :

Cost of Notebooks = n

Cost of Thumb drive = t

Troy :

Lisa :

Solving by elimination :

Multiply (1) by 2 and (2) by 4

Subtract (3) and (4)

From (1)

Hence, cost of notebook is $4 and cost of thumbdrive is $20

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Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Since we know that \(b=\frac{1}{4}\), we can simply substitute \(\frac{1}{4}\) for \(b\) in the equation:

\(\frac{1}{3}b+\frac{7}{12}\\\frac{1}{3}(\frac{1}{4})+\frac{7}{12}\\\)

To multiply fractions, simply multiply the numerators of the multipliers to find the numerator of the resultant, and multiply the denominators of the multipliers to find the denominator of the resultant. Therefore, we multiply 1 x 1, which is 1, and 3 x 4, which is 12. The resultant fraction for the operation of \(\frac{1}{3}(\frac{1}{4})\) is \(\frac{1}{12}\).

Now, we just need to add the remaining fractions:

\(\frac{1}{12}+\frac{7}{12}\)

When adding fractions with the sane denominator, we simply add the numerators. The addition of the numerators in this case is 8, so:

\(\frac{1}{12}+\frac{7}{12}=\frac{8}{12}\)

We can still simplify the fraction of \(\frac{8}{12}\). Both the numerator and the denominator are divisible by four, so divide them both by four to get the final, simplified fraction:

\(\frac{8}{12}=\frac{2}{3}\)

Answer:

\(\frac{23}{12}\)

Alternative forms:

\(1.916, 1\frac{11}{12}\)

Step-by-step explanation:

Substitute b = 1/4 into 1/3b + 7/12 :

\(\begin{matrix}\underline{1}\\\underline{3}\\4\\\end{matrix}+\frac{7}{12}\)

Calculate

\(\begin{matrix}\underline{1}\\\underline{3}\\4\\\end{matrix}+\frac{7}{12}\)

Divide a fraction by multiplying its reciprocal

\(\frac{4}{3}+\frac{7}{12}\)

Find common denominator and write the numerators above common denominator

\(\frac{4\times4}{3\times4}+\frac{7}{12}\)

Calculate the product or quotient

\(\frac{16}{3\times4}+\frac{7}{12}\)

\(\frac{16+7}{12}\)

Calculate the sum or difference

\(\frac{23}{12}\)

I hope this helps you

:)

The span of the two vectors is the set of all linear combinations of the two vectors. This means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.

1. Start by taking two non-zero vectors u and v.

2. The span of the two vectors is the set of all linear combinations of the two vectors, which means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.

3. Therefore, span{u, v} contains the line through u and the origin, as well as the line through v and the origin.

The span of two non-zero vectors u and v contains the line through u and the origin, as well as the line through v and the origin. Any point on these two lines can be written as a linear combination of u and v.

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Answer:

Step-by-step explanation:

Square root of 2

Answer:

B

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

If y = 2, we can substitute y in the expression for 2

8y - 2 = (8 * 2) - 2

8*2 = 16

16-2 = 14

Explanation:

Replace y with 2. Then use the order of operations PEMDAS to simplify until getting a single number.

8y-2

8*2-2

16 - 2

14

Therefore, 8y-2 = 14 when y = 2

Phrased another way: The solution to 8y-2 = 14 is y = 2

Answer:

C

Step-by-step explanation:

Hope it helps

Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Answer:

1) In fig. (1) there are 2 shapes:

So,

Area of Rectangle = l × b

where,

➮ 12 × 14

➮ 168

Hence, the area of rectangle is 168cm².

Now,

Area of Triangle = ½bh

where,

➮ ½ × 8 × 12

➮ ½ × 96

➮ 48

Hence, the area of triangle is 48cm².

Thus, Area of the whole fig. :

Area of Rectangle + Area of Triangle

➮ 168 + 48

➮ 216cm² (Ans)

2) In fig. (2) there are also 2 shapes :

So,

Area of Semicircle = ½ (πr²)

where,

➮ ½ × 3.14 × (5)²

➮ ½ × 3.14 × 25

➮ ½ × 78.5

➮ 39.25

Hence, the area of semicircle is 39.25 in².

Now,

Area of Rectangle = l × b

where,

➮ 10 × 15

➮ 150

Hence, the area of rectangle is 150 in².

Thus, Area of whole fig. :

Area of Semicircle + Area of Rectangle

➮ 39.25 + 150

➮ 189.25 in² (Ans)

\(\bold{\huge{\underline{ Solutions }}}\)

Given :-

We have,

We know that,

Area of rectangle

\(\bold{ = Length {\times} Breath}\)

Subsitute the required values,

\(\sf{ = 12 {\times} 14}\)

\(\sf{ = 168 \: cm^{2}}\)

For triangle

Area of triangle

\(\bold{=}{\bold{\dfrac{ 1}{2}}}{\bold{ {\times} b{\times}h}}\)

Subsitute the required values,

\(\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times}8{\times}12}}\)

\(\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times} 96}}\)

\(\sf{ = 48 \:cm^{2}}\)

Thus, Area of triangle is 48 cm² .

The total area of the composite figure

= Area of rectangle + Area of triangle

\(\sf{ = 168 + 48}\)

\(\bold{ = 216\: cm^{2}}\)

Hence, The area of given composite figure is 216 cm²

Given :-

Here, we have

We know that,

Area of rectangle

\(\bold{ = Length {\times} Breath}\)

Subsitute the required values,

\(\sf{ = 10 {\times} 15}\)

\(\sf{ = 150 \: cm^{2}}\)

For hemisphere

Area of semicircle

\(\bold{ = 1/2{\pi}r^{2}}\)

Subsitute the required values,

\(\sf{ =}{\sf{\dfrac{ 1}{2 }}}{\sf{ {\times} 3.14 {\times} (5)^{2}}}\)

\(\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{ {\times}3.14 {\times} 25}}\)

\(\sf{ = 1.57 {\times} 25}\)

\(\sf{ = 39.25\: in^{2}}\)

Thus, The area of semicircle is 39.25 in².

Total area of the given composite figure

= Area of hemisphere + Area of rectangle

= \(\sf{ = 150 + 39.25}\)

\(\bold{ = 189.25\: in^{2}}\)

Hence, The total area of the given composite figure is 189.25 in² .

Answer:

Step-by-step explanation:

4 x 10^2 = 4 x 100 = 400

Answer:

The best prediction for the number of times a 4 will be drawn from the pile is:

                       125

Step-by-step explanation:

It is given that:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)  

=(1/8)×1000

=125

It will take them 28 minutes to fill the tank.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

The first pipe alone can fill the tank in 84 minutes.

So, the rate at which the first pipe fills the tank = 1/84

and, The second pipe can fill the tank in 42 minutes by itself.

So, the rate at which the second pipe fills the tank =1/42

If they work together, they would work simultaneously and their individual rates are additive.

= 1/84 + 1/42

let it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,

1/84 + 1/42 = 1/t

3/84 = 1/t

t = 84/3

t = 28 minutes

Hence, 28 minutes will take to fill.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

\(\displaystyle y = -3x + 9\)

Step-by-step explanation:

First, find the rate of change of the line:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}\)

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

\(\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}\)

I am joyous to assist you at any time.

Answer:

to much math

Step-by-step explanation:

Answer:

1575 is the answer

Step-by-step explanation:

In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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