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4 years ago

Help me with this problem plss

Mathematics

2 answers:

Ahat [919]4 years ago

6 0

Answer:

Step-by-step explanation:

you do 8*13= 104 then you do divide by 2 because its a triangle and it equals to 52

Solnce55 [7]4 years ago

4 0

Answer:

x = 10 (10.2 or 10.25)

Step-by-step explanation:

To find the length of the missing side, use the pythagorean theorem. Substitute x and 8 for a and b and 13 for c.

a^2 + b^2 = c^2

(x)^2 + (8)^2 = (13)^2

Evaluate the exponents.

x^2 + 64 = 169

Subtract 64 from both sides.

x^2 = 105

Square root both sides.

x = 10.2469

Round this to the nearest whole number (I'm assuming).

x = 10 (10.2 if rounded to nearest tenth; 10.25 if rounded to the nearest hundredth)

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Car is moving on a circle on a plane. At time t (seconds), its x-coordinate is given by x(t) = 10 sin(200t + 3) + 30 while its y

Aleks [24]

Answer:

we have centre of circle as (30,40) and radius = 1

Step-by-step explanation:

Given that a car is moving on a circle on a plane.

At time t (seconds),

$x(t) = 10 sin(200t + 3) + 30$

and

$y(t) = 10 cos(200t + 3) + 40$

$x-30 = 10 sin(200t + 3) \\y-40 = 10 cos(200t + 3) + 40$

when we square and add both the equations we get

$(x-30)^2 + (y-40)^2 = 1$

(since sin square + cos square = 1 always)

i.e. we have centre of circle as (30,40) and radius = 1

3 0

3 years ago

The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000

Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means $x+y\leq 20000$

For concert to be held $x+y\geq 5000$

$lawn seats\leq reserved$ means $y\leq x$

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) = $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

8 0

4 years ago

Please help! Will give brainliest to correct answer

Lana71 [14]

Answer:

A = (5,3)

B = Begin at origin, move 3 units in a positive direction along the x-axis, move 4 units in a positive direction parallel to the y-axis

C = (4.5, 6)

D = Begin at origin, Move 0 units along the x-axis, Move 4.5 units in positive direction parallel to the y-axis

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

Answer-

The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .

Solution-

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

4 years ago

Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?

vladimir1956 [14]

Answer:

29.7 is the standard deviation :)

4 0

3 years ago