Helppppppp please ASAP

Answer:

-1/2

Step-by-step explanation:

lim x-> π/2 cos x /(2x-π) =

lim (x-π/2)->0 sin (π/2 - x) /2(x-π/2) =

lim (x-π/2)->0 - sin (x - π/2)/2(x-π/2) = -1/2

Answer:

y = 5/2x + 8

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-2) / -2 - (-4)

5 / 2

= 5/2

y = 5/2x + b

3 = 5/2(-2) + b

3 = -5 + b

8 = b

Answer: The formula for sector area is simple, multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2. So you want to do that for every problem like this

Step-by-step explanation:s

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

Explanation:

Let's ignore the area of the shaded slice for now. Instead, we'll find the area of the full circle

We plug in the radius r = 1 to find that

A = pi*r^2

A = pi*1^2

A = pi

The exact area of that full circle is pi square meters. You can think of an actual pie (the baked pastry, not the constant) with this area as a way to help conceptualize things.

If we wanted the whole circle, then we'd say pi is the answer. However, we only want a slice of that circle. The fractional amount 66/360 represents the slice we want. This fraction reduces to 11/60 after you divide both parts by 6. If you were to cut the pizza up into 60 slices, then you would shade 11 of them in to represent the green area.

Multiply 11/60 with the area pi to get the final answer 11pi/60

This answer is exact in terms of pi

To get an approximate value, you could replace pi with 3.14 to get 11pi/60 = 11*3.14/60 = 0.57567 meaning the green shaded area is roughly 0.57567 square meters. Use more decimal digits of pi to get a more accurate shaded area.

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hrs. of labor

Step-by-step explanation:

200-50= 150

150/25= 6

Answer:

v = 189 ft³

Step-by-step explanation:

v = lwh

v = 3 * 7 * 9

v = 189 ft³

Answer:

60 units²

Step-by-step explanation:

Find the other side length:

8² + x² = 17²

64 + x² = 289

x² = 225

x = 15

Find the Area:

1/2(8 x 15) = Area

1/2(120) = Area

Area = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

(85+92+95+x)/4

=90

(272+x)/4

=90

90×4=360

272+x=360

x=360-272=88

so it's the lowest score

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

Answer:

never

Step-by-step explanation:

Intersecting planes are planes that intersect along a given line.

To explain this better, consider the following definitions:

i. A point: This is denoted by a dot and it is a location marked on a space or a plane.

ii. A line: This is the distance between two points. It is one-dimensional.

iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.

Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.

Answer:

38 units

Step-by-step explanation:

The sides of the polygon can be counted directly, as they are all straight

EF = 2

FG = 10

GH = 9

HJ = 8

JK = 7

KE = 2

perimeter is the sum of all sides

= 2 + 10 + 9 + 8 + 7 + 2

= 38 units

Answer:

81 grams

Step-by-step explanation:

if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7

then  solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81

Answer:

Step-by-step explanation:

mode is means the data which is repeated maximum number of times.

here 54 is repeated maximum number of times so the mode of the given data is 54.

to calculate median u must arrange the data from ascending to descending order.

37 , 42 , 48 , 51 , 52 , 53 , 54 , 54 , 55 ,

median = (N + 1) /2    (N means number of data)

=9 + 1/2

=10/2

=5 th term

=52

Answer: 1.  x = 2

2. x = -2

Step-by-step explanation:

Answer:

Maximum value.

it = -1.

Step-by-step explanation:

Maximum value as the coefficient of x^2  is negative.

To find this value we convert to vertex form:

y = -3x^2 + 6x - 4

y = -3(x^2 - 2x) - 4

y = -3[(x - 1)^2 - 1] - 4

y = -3(x - 1)^2 + 3 - 4

y = =3(x - 1)^2 - 1

Minimum value = -1.

Answer:

The lines meet at (-1, -3)

Step-by-step explanation:

Line A :

[tex](x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)[/tex]

                             [tex]2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3[/tex]

Line B :

[tex](x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))[/tex]

                             [tex]3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10[/tex]

Solve for x and y from the linear equation to find where line A and line B meets :

2y = 3x - 3 => 3x - 2y = 3 ------- (1)

3y = -x - 10 => -x = 3y + 10

                => x = - 3y - 10 --------(2)

Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3

                                   -9y - 30 -2y = 3

                                       -11y = 3 + 30

                                         -11y = 33

                                            y = -3

Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

Answer:

Step-by-step explanation:

Sunny has collected 3 times the stamps that Rashika has collected but in total they have both collected 304 stamps.

Assume that Rashika has x stamps. This would mean that Sunny has (3 * x) or 3x stamps.

In an equation this would be:

x + 3x = 304

4x = 304

x = 304/4

x = 76 stamps

Rashika has 76 stamps.

Sunny has 3 times that number:

= 76 * 3

= 228 stamps

Answer:

60 apples and oranges

Step-by-step explanation:

18/3/7 = 42

18/42 = 3/7

18+42 = 60

Answer:

10 student failed in both subjects.

Step-by-step explanation:

Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:

(100 - 20) - (60 - 20) - (50 - 20) = X

80 - 40 - 30 = X

40 - 30 = X

10 = X

Therefore, 10 student failed in both subjects.

Answer:

He has enough to bake the cookies with 1 cup of flour left over.

Step-by-step explanation:

5.25 cups to start - 3.5 for the bread = 1.75 remaining

1.75 cups + 2 cups from neighbors = 3.75 cups

3.75 - 2.75 for cookies = 1 cup left over.

Answer: There are 20 sides of a given regular polygon.

Step-by-step explanation:

To calculate the sides of a regular polygon, we use the equation:

[tex]\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}[/tex]

We are given:

Smallest angle of rotation = [tex]18^o[/tex]

Putting values in above equation, we get:

[tex]\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20[/tex]

Hence, there are 20 sides of a given regular polygon.

Answer:

20

Step-by-step explanation:

edg did the test

Answer:

8.66

Step-by-step explanation:

b = a sqrt(3)

Refer to the attachment for complete calculation.

3²× 11^-9

Answer:

4 = ln x

Step-by-step explanation:

e^4=x

Take the natural log of each side

ln(e^4)=ln(x)

We know ln a^b = b ln a

4 ln e = ln x

ln (e) =1

4 = ln x

Answer:

2. There are 5 students 14 years old 7 grade

Answer:

9.99 *10 ^ 6 km

Step-by-step explanation:

Given that the surface area of Canada is 9,984,671 square kilometers.

The standard form of scientific notation is expressed as;

A * 10^n

A is any values between 1 to 9

n is an integer

Given

9,984,671 square kilometers.

9,984,671  = 9.99 *10 ^ 6

Hence the required scientific notation is 9.99 *10 ^ 6

Answer:

The number of chains in each fileiras = 28.

Step-by-step explanation:

Total number of chains = 224

Number of fileiras = 8

Number of chains in each fileiras is given by the divison of total number of chains to the number filerias.

[tex]\frac{224}{8}\\\\=28[/tex]