year 9 students from a school were asked to choose one language to study the table shows information about their choices LANGUAGE French students=17 German students=35 Italian students=38 Students in math class 9s1 were told to draw a pie chart to illustrate the language work out all of the angles of each sector of the pie chart

The focal length of the lens is 40cm.

The distance between the center of a lens or curved mirror and its focus.

A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm.

The focal length of the lens is given by the following formula;

[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\Where; \ r_1 =\infty , \ r_2=20, \ and \ n = 1.5[/tex]

Substitute all the values in the formula;

[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\\rm \dfrac{1}{f}=(1.5-1) \left ( \dfrac{1}{\infty}-\dfrac{1}{20} \right)\\\\ \rm \dfrac{1}{f}=(0.5) \left ( 0-\dfrac{1}{20} \right)\\\\ \dfrac{1}{f} = \dfrac{-0.5}{20}\\\\\dfrac{1}{f}=-0.025\\\\f = \dfrac{-1}{0.025}\\\\f=-40[/tex]

Hence, the focal length of the lens is 40cm.

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Answer:

Step-by-step explanation:

A1=BH

=15mm×7mm

=300mm2

A2=BH

=15mm×5mm

=75mm2

A3=BH

=8mm×5mm

=40mm2

A1+A2+A3=Atotal

300mm2+75mm2+40mm2=Atotal

415mm2=Atotal

Answer:

its in percentage but it would be 0.6

Step-by-step explanation:

Answer:

3 over 5

[tex]\frac{4}{5} * \frac{3}{4}\\\\4*3=\underline{12}\\5*4=20[/tex]

Simplify 12 over 20

[tex]12/4= \underline{3}\\20/4 = 5[/tex]

Answer:

Mean = 29300

median = 23500

Modal = 23000

Step-by-step explanation:

Mean = Add them all and divide by 10

= 29300

median = average of (rank of 5th and 6th)

= (23000 + 24000) /2

= 23500

Modal = appear the most

= 23000

Answer:

20.75

Step-by-step explanation:

5.2 lower bound = 5.15

6.3 lower bound = 6.25

9.4 lower bound = 9.35

5.15 + 6.25 + 9.35 = 20.75

Work Shown:

[tex]A = (x_1,y_1) = (-3,2) \text{ and } B = (x_2, y_2) = (-6,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-6))^2 + (2-(-2))^2}\\\\d = \sqrt{(-3+6)^2 + (2+2)^2}\\\\d = \sqrt{(3)^2 + (4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]

I used the distance formula. Alternatively, you can plot the two points and form a right triangle. Then use the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

Answer:

C). 38

Step-by-step explanation:

The range is the measurement of the difference between values in a data set. To find the range, subtract the lowest value from the greatest value.

2, 5, 19, 7, -5, 33, 26, 15, 12

-5, 2, 5, 7, 12, 15, 19, 26, 33

Lowest value,

⇒ -5

Greatest value,

⇒ 33

33 - (-5)

⇒ 38

Hence, the range/answer is 38. ⇒ option c.

Answer: 34

Step-by-step explanation:

Answer: its not A its b c or d sorry i could not help more

Answer:

The answer is C. 29.4 m/sec.

Step-by-step explanation:

I got it right ^w^

Answer:

x = 16

Step-by-step explanation:

2(x - 1) - 6 = 24 ( add 6 to both sides )

2(x - 1) = 30 ( divide both sides by 2 )

x - 1 = 15 ( add 1 to both sides )

x = 16

Answer:

-5 is less than 1

[tex] \frac{12}{4} [/tex] is equal to 3

[tex] {2}^{2} [/tex] is equal to 4

2.83 is less than 3 and 4 but is more than -5

So, your answer would be [tex] {2}^{2} [/tex]

-thunderbolt07

Answer:

we know that sum of two complementary angles always equals to 90°

now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90

∠ABC = 35° given

so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°

therefore hence proved ∠CBD = 55°

Answer:

136°

Step-by-step explanation:

The whole of the cake angle = 360°

Half of it = 180°

Therefore; if 44° angle is eaten out of the half i.e 180°

Then what's left = 180° - 44° = 136°

Answer:

238

Step-by-step explanation:

First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter.  34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!

Answer:

y = 70

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

y = 1/2(92+48)

y = 1/2(140)

y = 70

Answer:

x = [tex]\frac{15}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] x - [tex]\frac{1}{3}[/tex] x = x - 1

multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions

9x - 5x = 15x - 15

4x = 15x - 15 ( subtract 15x from both sides )

- 11x = - 15 ( divide both sides by - 11 )

x = [tex]\frac{-15}{-11}[/tex] = [tex]\frac{15}{11}[/tex]

Answer:

The answer is -11(3x-1)

Step-by-step explanation:

Thats what the calculator said

Hope this helps!!!

The increase in square feet when the garden is enlarged is 400 square feet.

The first step is to determine the perimeter of the fence:

Perimeter = 2( length + width)

2 (60 + 20)

= 160 feet

When the shape of the garden is changed to a square, the perimeter of the square and the rectangle has to be the same.

Length of side of the square = 160 / 4 = 40 feet

Area of the square = 40 x 40 = 1600 square feet

Area of the garden = 60 x 20 - 1200 square feet

Difference = 1600 - 1200 = 400 square feet

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Answer: A

Step-by-step explanation:

Origin is at 0,0, and the arrow is pointing towards the center which is 0,0.

A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

[tex]m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}[/tex]

The equation of a line is  

[tex]( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0[/tex]

Hence, the equation is  11x +6y - 80 = 0

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Answer:

Look at the photo and Goodluck

X= 14.375 and y = 21.75

Calculating For x

[tex] = > \huge\frac{x}{57.5} = \frac{16}{64} [/tex]

[tex] = > \huge\ \: x = \frac{57.5 \times 64}{16} [/tex]

[tex]x = 14.375[/tex]

Calculating For y

[tex] = > \huge \frac{y}{87} = \frac{16}{64} [/tex]

[tex] = > \huge y = \frac{87 \times 64}{16} [/tex]

[tex]y = 21.75[/tex]

[tex]\sf\red{hope\:it\:helps\:you}[/tex]

Answer:

Step-by-step explanation:

Answer:

7 adults

Step-by-step explanation:

the equation is 152=4.8(13+x)=8(x) you get 7 for x :)

therefore, there are 7 adults in total ( and 20 children but thats not part of the question :p )

10 is the mean of the number that is missing.

A property of an assortment of data that represents an average is called the mean. Depending on the nature of the information as well as the kind of average you require, one can compute the mean theoretically employing any of the several ways. Scheming the data distribution constantly allows one to visually determine the mean as well.

Let the missing number be x.

The sum of all the numbers will be

= 11 + 20 + 3 + 1 + x

= 35 + x

The total number is 5.

The mean is given to be 9.

The mean will be

9 = (35 + x) / 5

9 * 5 = 35 + x

45 = 35 + x

10 = x

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Answer:

A, B, D

Step-by-step explanation:

A 6x3 =18

B 9x2=18

D 9x2=18

Answer:

Step-by-step explanation:

Now to find the sum of first 20 terms, substitute n=20,a=−1 and d=4 in S n = 2n [2a+ (n−1)d] as follows: S 20 = 220 [(2×−1)+(20−1)4]=10[−2+(19×4)]=10(−2+76)=10×74=740 Hence, the sum of first 20 terms is 740.

the sum of the first 20 terms of the series below is C.

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