Evaluate 12.3p + 11.5r when p = 6 and r = 7.

Answer:

area = 57√3 cm²

Step-by-step explanation:

lower polygon:

14-8 = 6, 6/2 = 3

3 is the base of the lower left triangle

cos 60° = 3/hypotenuse

hypotenuse = 6

height of triangle² = 6² - 3² = 45

height of triangle² = 36 - 9 = 27

height of triangle = √27 = √(9 x 3) = 3√3

area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²

upper parallelogram:

area = 8(3√3) = 24√3 cm²

total area = 24√3 + 33√3 = 57√3 cm²

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

Answer:

d

Step-by-step explanation:

it says it in the question lol

Answer:

The answe is D on edge

Step-by-step explanation:

Here's link to the answer:

tinyurl.com/wpazsebu

5 because of slope equation

Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

b is your correct answer hope help you

Answer:

8 girlies

Step-by-step explanation:

12/3=4

4x2=8

Answer:

8

Step-by-step explanation:

since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so

x/12=2/3

multiply both sides by 12

(x/12)12=(2/3)12

x=8

Hope that helps :)

Answer:

120

Step-by-step explanation:

One hour is 90 minutes 90/15=6 then you take 20X6=120miles

Answer:

It will travel 120 miles

Step-by-step explanation:

First, convert the hour and half to minutes: 90 minutes.

Then divide 90 with 15: 6

Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.

Answer:

168 jugadores.

Step-by-step explanation:

De la pregunta anterior:

Tenemos 14 equipos

1 equipo = 12 jugadores

14 equipos = x jugadores

Multiplicar cruzada

1 equipo × x jugadores = 14 equipos × 12 jugadores

x jugadores = 14 equipos × 12 jugadores / 1 equipo

x jugadores = 168 jugadores

Por tanto, se unirán 168 jugadores.

Step-by-step explanation:

since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.

have a good day :)

Answer:

y=-1/3x-6

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1

so, to find the slope of the new line:

3m=-1

divide by 3

m=-1/3

the slope of the new line is -1/3

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.

Here's our equation so far:

y=-1/3x+b

since the line passes through the point (9,-9), we can use it to solve for b

substitute into the equation:

-9=-1/3(9)+b

-9=-3+b

-6=b

b is -6

here's our equation

y=-1/3x-6

hope this helps! :D

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

Answer:

I have made it in above picture

Answer:

Janelle is applying to work a full-time job next summer. So far, her only paid work experience has involved with babysitting. She's worried that she lacks the skills

£120.02

£130.98

£1,376

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

12b² - 27 = 0 / : 3

4b² - 9 = 0

4b² = 9 / : 4

b² = 2,25

b = 1,5 and b = -1,5

Answer:

graph them and then see if they intersect(but if you notice that the coordss of the second line are all smaller than the coords of the first line, meaning that they wont be touching at all)

Step-by-step explanation:

Answer: 13 miles

Step-by-step explanation:

30 min plue 30 min is 1 hour

if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13

Answer:

18.75

Step-by-step explanation:

25% of 75 =

0.25 x 75 =

18.75

Hope that helps!

Answer:

18.75

Step-by-step explanation: I don't really know what work to show it was all mental

Answer:

the second option im pretty sure

Answer:

4/48. I don't know for sure, but I think B is the correct answer

Answer:

37+12 =49_218+54=4554472287/41

Answer:

y = -3x + 10

Step-by-step explanation:

10-1/0-3 = -3

y = -3x + b

1 = -3(3) + b

1 = -9 + b

10 = b

check your answer:

10 = -3(0) + 10

10 = 10

b should be 10

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

Step-by-step explanation:

a÷b=960÷89=10.78651685=10.79 or 17.8

Answer:

x=  1 /3 y+ −5 /3

y=3x+5

Step-by-step explanation:

brainliest?

Answer:

Give my man brainliest

Step-by-step explanation:

Don't report this

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

Answer:

x = -3

Step-by-step explanation:

24-9= 15

15/-5=-3

Answer:

-3.

Step-by-step explanation:

-5 x -3 = 15

15 + 9 = 24

Hope I helped, Have a good day!