please tell me the answers of. the question please ​

Step-by-step explanation:

the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.

so,

f'(x) = 2x + b

and then

2x + b = 0

we know, x = 20 for the minimum

2×20 + b = 0

40 + b = 0

b = -40

therefore, the actual function is

f(x) = x² - 40x + 164

the target format is

f(x) = (x - h)² + k = x² - 2hx + h² + k

so,

-40x = -2hx

-40 = -2h

h = 20

and

h² + k = 164

20² + k = 164

400 + k = 164

k = -236

The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are

sin A = 9 / 41

cos A = 40 / 41

Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.

Therefore,

sin A = opposite / hypotenuse

cos A = adjacent / hypotenuse

tan A = opposite / adjacent

Using Pythagoras theorem, let find the hypotenuse side

c² = 40² + 9²

c = √1681

c = 41

Therefore,

sin A = 9 / 41

cos A = 40 / 41

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Answer:

Given the equations, I plotted 2 lines.

Line 1               Line 2

 x  |  y                x  |  y  

 0  | 101             0  |  -5

  1  |  101             1  |  -6

Answer: 56

Step-by-step explanation:

you multitouch answers I think

Answer:

The correct answer is the second one.

Step-by-step explanation:

68/5 - 18/5 = 50/5

50/5 simplified is 10

Making the second equation true.

Hope this helps:) Goodluck!

Answer:

116 centimeter squared

Step-by-step explanation:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

Answer:

..........................

Answer:

270

Step-by-step explanation:

 x = k/y     This is an inverse relationship with k = constant of proportion (or variation)

-9 = k/(-30)

k = -9  *  -30 = 270

Answer:

Constant of variation  = 270.

Step-by-step explanation:

y = k/x

-30 = k / -9

k = -30 * -9

k = 270

Answer:

Step-by-step explanation:

b

Answer:

answer is (-2,1), (-1,4), (1,2)

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By using partial products to multiply, 52 × 6 is 312

From the question, we are to use partial products to multiply 52 × 6

The partial multiplication is shown below

5 2

× 6

300       6 × 5 tens (That is, 6 × 5 × 10 = 300)

+ 12       6 × 2 ones (That is, 6 × 2 × 1 = 12)

312  

Hence, by using partial products to multiply, 52 × 6 is 312

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Answer:

Step-by-step explanation:

A.) 16500 Seconds

B.) 12569 Seconds

C.) 38116 Seconds

D.) 20700  Seconds

E.) 7256

Answer:

hope this will help you

Step-by-step explanation:

69+420/3

first of all divide 420 by 3 which is 140

69+140

then add with 69

209

Answer:

The correct answer should be 209.

Step-by-step explanation:

Also here Is your art my good sir!

The values are

First plot two dots on 8

Then rest two on -8

Answer:

See below ~

Step-by-step explanation:

Solving :

Answer:

20

Step-by-step explanation:

2x+3x+4x = 180 degree

9x = 180

X = 20.

Answer:

0.8 miles

Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Airport to Arcadia is one leg of right triangle = x

Airport to Stafford is leg2 of right triangle  = 7.6

9.2 miles is hypotenuse of right triangle

Pythagorean theorem:

x^2 + 7.6^2 = 9.2^2

x = ~ 5.2 miles

Answer:

hope it help you

Step-by-step explanation:

[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]

Answer:

6x

Step-by-step explanation:

Take x as the common factor and calculate.

Answer:

(15squrt3)/2

Step-by-step explanation:

cos30=x/15

Answer: The mode of the data in the line plot is the data with the highest number of marks

The mode of the data is 8

How to determine the mode?

From the line plot, we have the following frequency table:

Number        Frequency

5                       2 marks6                       4 marks.

7                        3 marks

8                        6 marks

9                         2 marks

10                         4 marks

11                         2 marks

The number with the highest mark is 9

Hence, the mode of the data is 8

Step-by-step explanation:

B. Just saying, this is an estimate, yet it seems more logical.

Step-by-step explanation:

dk if this makes sense

A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. The ratio of the height of pyramid A to pyramid B is 0.064.

A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. A lateral face is formed by the base edge and top of each triangle.

The volume of a pyramid is given by the formula,

Volume of the pyramid = (Length×Width×Height)/3

                                       = (Area of base ×Height)/3

If the area of the base of the two pyramids is the same, then the ratio of the volume of the two pyramids will be,

[tex]\dfrac{\text{Volume of Pyramid A}}{\text{Volume of Pyramid B}} = \dfrac{60\rm\ mm^3}{937.5\rm\ mm^3}\\\\\\\dfrac{3 \times \text{(Area of base})_a \times h_a}{3 \times \text{(Area of base})_b \times h_b}= \dfrac{60}{937.5}\\\\\\\dfrac{h_a}{h_b} = 0.064[/tex]

Hence, the ratio of the height of pyramid A to pyramid B is 0.064.

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Answer:

964.

Step-by-step explanation:

The first digit after the decimal point is 6 so we round up the 3.

Step-by-step explanation:

The sum of angle at a point is 360° so...

310° + a = 360°

a = 360° - 310°

a = 50°

Now...

here b and 180° are supplementary angle so ....

b = 180° - 80°

b = 100°

Again...

The sum of all angle of triangle is 180° so...

100° + 50° + c = 180°

150° + c = 180°

c = 180° - 150°

c = 30°

Hence...the value of a is 50° , b is 100° and c is 30°...

Answer:

12% decrease

Step-by-step explanation:

given:

In 2017, a chocolate bar had a mass of 250g.

In 2018, the mass of the chocolate bar was reduced to 220g.

The difference in mass is 250 - 220 = 30g

30 / 250 = 0.12 which is how much out of the 250g

0.12 x 100 = 12

12% decrease in the mass of chocolate bars from 2017 to 2018.

A percentage is a number or ratio expressed as a fraction of 100.

According to the question, it is given that

The mass chocolate bar had a mass of 250g in 2017

The mass of the chocolate bar was reduced to 220g in 2018

We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=(250-220)/250×100

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=30/250×100

=0.12×100

=12%

Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.

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Answer:

20 hrs

Step-by-step explanation:

t = third worker

1 / ( 1/20 + 1/15 + 1/t)  = 6

1 = 6/20 + 6/15 + 6/t

3/10 = 6/t

t = 20 hrs