In a school, the ratio of students of class 9 to that of class 10 is 3:2. 30% of the students of class 9 and 10%of the students of class 10 were elected to the school student committee. What fraction of the total number of students of the two classes was selected to the school student committee?

Answer:

B

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

SR = PQ , that is

8a - 4 = 6a + 10 ( subtract 6a from both sides )

2a - 4 = 10 ( add 4 to both sides )

2a = 14 ( divide both sides by 2 )

a = 7

In a parallelogram consecutive angles are supplementary, thus

∠ P + ∠ Q = 180, that is

18b - 11 + 9b + 2 = 180, that is

27b - 9 = 180 ( add 9 to both sides )

27b = 189 ( divide both sides by 27 )

b = 7

Thus c = a + b = 7 + 7 = 14 → B

Answer:

m<x = 60

Step-by-step explanation:

This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.

Answer:

Half ans is in pic...

now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".

we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.

after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller.  On that time, they covered however, the same amount of ground, since they're on the same bike.

The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.

The amount covered by the large one in 500 cycles, is 500(2πr + 9).

And we know that ground covered, is the same for both, therefore, we also know that   1400(2πr)  =  500(2πr + 9).

Refer to the pic for rest...

Hope it helped

Mark BRAINLIEST!

Answer:

X+X

Step-by-step explanation:

did it on edg

Answer:

x° + x°

Step-by-step explanation:

Edge 2020

Answer:

-1+2-4+8-10+12-14+16-18+20

=

-47+68

= +21

hope youlike this

stay at home stay safe

keep rocking

Answer:

26 ≤ x ≤ 39 where x is # of hours

Step-by-step explanation:

If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:

245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)

Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.

Answer:

the other side lengths are 6m and 8m

Step-by-step explanation:

i did the quiz and got it right

The correct answer is C. Four pies

Explanation:

Marginal cost refers to an increase in the cost of production as additional units are made. In the case of apple pies, the graph shows the cost for one is $1.00. Moreover, this decreases when two or three pies are produced because the cost is between $0.60 and $0.30. However, if the producer makes four or more units, the cost increases. For example, at four units the cost per unit is $0.60, while at six units the cost is $1.50. Thus, the marginal cost begins to increase at four pies.

Answer: four pies

Step-by-step explanation:

The graph is a marginal cost curve that compares expenses therefore it would equal four pies because the marginal cost rises on the graph starting at 4.

Answer:

D. 19

Step-by-step explanation:

because they are parallel bases you can compare

63/57 = 21/x

x = 19

Answer: D. 19

Let x by the length of CG. Since the two bases are parallel, we can create the following equation using proportions:

[tex]\dfrac{63}{21}=\dfrac{57}{x}[/tex]

Simplify left side of equation

[tex]3=\dfrac{57}{x}[/tex]

Multiply both sides by x

[tex]3x=57[/tex]

Divide both sides by 3

[tex]x=19[/tex]

Let me know if you need any clarifications, thanks!

Answer:

15.7 yd

Step-by-step explanation:

Arc length is given as 2πr(θ/360).

Where,

Radius (r) = 10 yd,

Measure of arc (θ) = 90°

π = 3.142

Arc length = 2*3.142*10(90/360)

Arc length = 62.84(¼)

Arc length = 62.84/4

Arc length = 15.71 yd

The act length is approximately 15.7 (to the nearest tenth)

Answer:

35 degrees.

Step-by-step explanation:

m < TSK = 180 - 22 - 123

= 180 - 145

= 35.

Answer:

7^11 / 4^11

Step-by-step explanation:

( 7/4) ^ 11

We know that ( a/b) ^c = a^c / b^c

7^11 / 4^11

Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

Step-by-step explanation:

There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]

So we can apply this rule to this problem.

[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]

Answer: d. 0.0047

Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.

To find p-value, first find the z-score:

z = [tex]\frac{x-\mu}{SE}[/tex]

x is sample mean

μ is population mean

SE is standard error calculated by [tex]\frac{s}{\sqrt{n} }[/tex]

SE = [tex]\frac{10}{\sqrt{50} }[/tex]

SE = 1.414

z = [tex]\frac{24-28}{1.414}[/tex]

z = - 2.83

The hypotheses ([tex]H_{0}, H_{a}[/tex]) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:

p-value = 0.00233*2

p-value = 0.0047

The p-value for this test is 0.0047

Answer:

The expression of the ellipse is: [tex]\frac{x^2}{4} + y^2 = 1[/tex]

Step-by-step explanation:

The equation of a ellipse can be written by the following expression:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:

[tex]2b = 2\\b = 1[/tex]

The length of the major axis is the distance between the two vertices.

[tex]2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2[/tex]

Therefore the expression of the ellipse is:

[tex]\frac{x^2}{2^2} + \frac{y^2}{1^2} = 1\\\\\frac{x^2}{4} + y^2 = 1[/tex]

Answer:

469.4ft²

Step-by-step explanation:

We have ∆ WXY in the above question,

From which we have obtained the following values

Angle W = 27°

Angle X = ?

Angle Y = 40°

Side w =?

Side x = ?

Side y = 38ft

Area of the triangle= ?

Step 1

We find Angle X

We know that the Sum of angles in a triangle = 180°

In the question above, we are given 2 angles

Hence,

Angle X = 180 - ( Angle W + Angle Y)

= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Step 2

Find the sides w and x

We find these sides using the Rule of sines

Rule of Sines =

a/ sin A = b/ Sin B = c/Sin C

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

We have the following values

Angle W = 27°

Angle X = 113°

Angle Y = 40°

We are given side y = 38ft

Determining side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Determining side x

w/ sin W = x/ sin X

26.84/ sin 27 = x/sin 113

Cross Multiply

sin 113 × 26.84 = x × sin 27

x = sin 113 × 26.84/sin 27

x = 54.42041ft

x = 54.42ft

To find the area of triangle WXY

We apply the use of heron formula

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √ 220343.61423

Area of the triangle = 469.40772706541ft²

Hence, Approximately to the nearest tenth =469.4yd²

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair.  This means they are supplementary, or their measures sum to 180°.  To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°.  We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

[tex]A = 1500(1.00167)^{12t}[/tex]

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

Explanation:

You could use the formula

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.

Answer: C

I just took the test

v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth

Answer:

208 cm²

Step-by-step explanation:

First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².

Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²

Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

have a good day

Answer:

[tex]1\frac{3}{20}[/tex]

Step-by-step explanation:

'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with  '[tex]\frac{3}{20}[/tex]'  as the remainder, so  '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.  

Put them together, and you get: [tex]1\frac{3}{20}[/tex]

The fraction is already in it's simplest form.

Brainilest Appreciated.

The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

We have to given that,

A number is,

⇒ 23 / 20

We can divide it for the mixed fraction as,

⇒ 23 / 20

20 ) 23 ( 1

    - 20

  --------------

          3

Therefore, It can be written as,

⇒ 23 / 20 = 1 3/20

Thus, The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

Answer:

B on EDG

Step-by-step explanation:

Answer:

           [tex]\bold{P(A) =\dfrac{11}{20}}[/tex]

Step-by-step explanation:

A - an occurrence that Steve encounters the green light

number of all counted ligths:    |Ω| = 20

number of counted green ligths:  |A| = 11

Probability that Steve encounters a green light on any given day:

[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]

Answer:

Distributive Property

Step-by-step explanation:

If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.

In this case: [tex]5(x-7)=55[/tex]

We can multiply [tex]x-7[/tex] by 5 to simplify this equation - this is the distributive property.

[tex]5x - 35 = 55[/tex]

So the property used to write the equation in Step 2 was the distributive property.

Hope this helped!

Answer:

the answer is didrtbutive

Step-by-step explanation:

hope it helps.

have a good day:)

Answer:

C, or 9,40,41

Step-by-step explanation:

Answer:

[tex]d = \sqrt{85}[/tex] or d ≈ 9.22

Step-by-step explanation:

Distance formula:

[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]

Answer:

Explained below.

Step-by-step explanation:

Consider the diagram of a regular octagon is inscribed inside a circle.

Suppose the perimeter if the octagon is 8a.

(a)

Compute the measure of a side of the octagon as follows:

[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]

Thus, the side of the octagon is a units.

(b)

The sum of all angles of around a point is 360°.

Consider the point P on the octagon.

The sum of all the angle surrounding P will be 360°.

There are a total of 8 angle surrounding the point P.

Then the measure of central angle is:

[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]

Thus, the measure of central angle is 45°.

(c)

The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.

Consider the diagram.

In the diagram the line segment PC is an apothem, that is perpendicular to the AB.

The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).

Compute he measure of PC as follows:

[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]

      [tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]

Thus, the measure of the apothem of the octagon  is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].

(d)

The area of an octagon is:

[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

which in our case gives:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]