98. Find the values of A and B which satisfy
the equations cos (2A + B) = 0.3 and
cos (2A - B) = 0.6 if 0° < 2A + B < 90° and
0° < 2A-B < 90°.​

Given:

Apartment buildings are required to have a fire extinguisher every 600 feet.

Height of building = 13,500 feet

To find:

The number of fire extinguishers are needed.

Solution:

Building needs a fire extinguisher every 600 feet.

Height of building = 13,500 feet

So, required number of fire extinguishers is

[tex]n=\dfrac{\text{Total height of building}}{600}[/tex]

[tex]n=\dfrac{13500}{600}[/tex]

[tex]n=\dfrac{135}{6}[/tex]

[tex]n=22.5[/tex]

Number of fire extinguishers cannot be negative.

[tex]n\approx 23[/tex]

Therefore, 23 number of fire extinguishers are needed.

Answer:

180 - y

Step-by-step explanation:

The exterior angle is equal to 180 minus the interior angle.

Answer:

The total angle a triangle have is 180

so now subtract it by 50

180-50 = 130

and the other angle we get is by subtracting 180-92 which is 88

y=88 degree

now x=180-(88+50)

=42

so x=42

9514 1404 393

Answer:

  (c)  16πx^6y^10

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

Putting the expression for r in the formula, you have ...

  A = πr^2

  A = π(4x^3y^5)^2 . . . . . substitute for r

  A = π(4^2)(x^(3·2))(y^(5·2)) = 16πx^6y^10

Answer:

Yes they are. “X” is basically 1x becuase if you multiply 1 by x its still x. So they are like terms, if you combine them you’ll get 6x becuase 5x+x=6x

Answer:

-1 is the answer

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

10 + (-11) + 5 + (-5)

=10 - 11 + 5 - 5

=10 - 11

= -1

hope this help, if this don't forget to click the " thanks" button! :)

Answer:

2×4=8 + 4 = 12 y stands firm you do the y part 2 times

Answer:

No solution exists

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Brainly plss?

Answer:

x=-1

use math papa calculator it helps :)

Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

Answer:

2

Step-by-step explanation:

In this question, we will have to solve the expression with our given variable.

Plug in 4 to x and solve:

-0.4(3(4) - 2) + 2 + 4

-0.4(12 - 2) + 2 + 4

-0.4(10) + 2 + 4

Evaluate -0.4(10):

-4 + 2 + 4

-2 + 4

2

Your final answer would be 2.

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

Answer:

(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1

(-1 - 2/3) / (-1 -1) (answer both sides of the division side)

-5/3 / -2  (divide)

slope = 5/6  (the slope)

plug in values you know into point-slope form (y -y1) = m(x-x1)

y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )

y +1 = 5/6 (x +1)  (use the distributive property)

y +1 = 5/6x+5/6  (subtract 1 from both sides)

y = 5/6x - 1/6  or B (this is the equation)

Step-by-step explanation:

I hope this helped :))

Answer:

its b because

Step-by-step explanation:

24÷12 is 2 and if u do 12 × 2 and keep going u will get the next answer

Answer:

The longest length of the similar triangle is 7 inches

Step-by-step explanation:

If two triangles are similar, the ratio of their sides are equal

We shall be working the shortest and longest side of both

What we have here will be that;

The shortest length/ the longest length ratio in both triangles will be the same

Let the longest side of the similar triangle be x

8/14 = 4/x

8x = 4 * 14

x = (4 * 14)/8

x = 7 inches

Answer:

Linear

Step-by-step explanation:

Linear is a straight graph

Answer:

Linear

Step-by-step explanation:

The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

Answer:

11. 24

12. 253

hope it's helpful ❤❤❤❤

THANK YOU

Step-by-step explanation:

omg it actually got seven lol

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

A= HxB÷2

7x18÷2=63

Answer: 1/6

Step-by-step explanation:

5/6 - 4/6 = 1/6

Answer:

1

-

6

Step-by-step explanation:

Answer: D: Quadratic Equation.

Step-by-step explanation:

y = a*x^2 + b*x + c is a polynomial of degree = 2, this is also called a quadratic equation (because the largest exponent is 2)

Then the correct option is D: Quadratic Equation​

The other options are used for:

A: Subtraction:

This is for the difference between two numbers, a subtraction is X - Y.

B: Quotient:

This is for a division between two numbers, the quotient between X and Y is:

X/Y.

C: Scientific Notation:

This is used to simplify the notation of numbers with a lot of digits. Instead of write numbers like:

13,000,000

We can just write this as:

1.3*10^7

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) from first principles is

f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero

f'(x) = 9x²

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm