Classify the triangle by its angles and sides. Explain how you knew which classifications to use

9514 1404 393

Answer:

  £27

Step-by-step explanation:

If we assume that more than 10 bean bags will be purchased, their individual cost will be £45 - 10%×£45 = £40.50. Then the total cost of n beanbags and a coffee machine will satisfy the inequality ...

  £40.50n +£320 ≤ £1400

  40.50n ≤ 1080

  n ≤ 26 2/3 . . . . . . . 26 is more than 10, so the discount will be applied

Only an integer number of beanbags can be purchased, so the purchase of 26 beanbags and the coffee machine will leave a left-over amount of ...

  £1400 -(320 +26×40.50) = £1400 -1373 = £27

The employees will have £27 left over.

Answer:

The answer is £27.

Answer:

c

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

10 divided by 10

Answer: true

Step-by-step explanation:

First you substitute 15 into the problem and add 12 which equals 27 and 27 is bigger than 20 therefore your problem is true.

Answer:

2.(b) w= 3

3. x= -3 or x= 3

Step-by-step explanation:

2.(b) Method 1:

\( \frac{2w - 1}{5} + w + 2 = 2w \\ \frac{2w - 1}{5} = 2w - w - 2 \\ \)

Simplify:

\( \frac{2w - 1}{5} = w - 2\)

×5 on both sides:

\(2w - 1 = 5(w - 2)\)

Expand:

\(2w - 1 = 5w - 10\)

Bring constants to 1 side, w terms to the other:

\(5w - 2w = 10 - 1\)

Simplify:

\(3w = 9\)

Divide both sides by 3:

\(w = 9 \div 3 \\ w = 3\)

Method 2:

\( \frac{2w - 1}{5} + w + 2 = 2w\)

Multiply by 5 throughout:

\(2w - 1 + 5(w + 2) = 5(2w)\)

Expand:

\(2w - 1 + 5w + 10 = 4w\)

Simplify:

\(7w - 9 = 4w\)

+9 on both sides:

\(7w = 4w + 9\)

-4w on both sides:

\(7w - 4w = 9\)

Simplify:

\(3w = 9\)

Divide by 3 on both sides:

\(w = 3\)

3. \( \frac{6x - 12}{3} + 4 = \frac{18}{x} \)

Multiply by 3x on both sides:

\( \frac{3x(6x - 12)}{3} + 3x(4) = \frac{3x(18)}{x} \\ x(6x - 12) + 12x = 3(18)\)

Expand:

\(x(6x) - x(12) + 12x = 54 \\ 6x^{2} - 12x + 12x = 54 \\\)

Simplify:

\(6 {x}^{2} = 54\)

Divide by 6 on both sides:

\( {x}^{2} = 9\)

-9 on both sides:

\( {x}^{2} - 9 = 0\)

Factorise:

*Since a²-b²= (a +b)(a -b),

\( {x}^{2} - {3}^{2} = 0 \\ (x + 3)(x - 3) = 0\)

Thus,

x +3= 0 or x -3= 0

x= -3 or x= 3

Answer:

w = 3

Step-by-step explanation:

(6x-12)/3 + 4 = 18/x

Simplify fraction

2x -4 +4 = 18/x

Combine -4+4=0 Divide by 2 to reduce

x = 9/x

Multiply both sides by x

x² = 9

x = 3, -3

Answer:

B, 5/2

Step-by-step explanation:

Each whole number is equal to 2 halves, so if you multiply 2 by 2, and then add 1, you get 5 halves, or 5/2. Hope this helps!

Answer:

Look at image posted.

Step-by-step explanation:

The one I circle would be the answer because there should not be 2 points for every x-axis value. The 1st one has 2 points with x=0, the other 2 also have 2 points on the asme x axis value

Answer:

Step-by-step explanation:

I would ask my teacher for help if no, then it seems like you would mark a line in the numbers line or smth just giving you an idea sorry if this never helped :(

Answer:

Step-by-step explanation:

reason 1:

opening of brackets to solve the expression

reason 2:

in multiplication order is followed i.e. the number always lead the variable in the expression

reason 3:

for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable

reason 4:

the solved and simplified expression is delivered as a result

Answer:

Step-by-step explanation:

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

Answer:

The distributive law of multiplication states that when a number is multiplied with the sum is equal to the number multiplied by each addend with the number and then sum of the both products.

by example a*(b+c)=(a*b) + (a*c)

Here the expression A is (5/6)*250

the expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

expression B is ( 1/3 × 250 ) + ( 1/2 × 250 )

=250*(1/3+1/2) applying distributive law of the multiplication

=250*((2+3)/6)

=250*(5/6)

=(5/6)*250

Therefore the expression A is equal to the expression B.

Step-by-step explanation:

The answer is 21

Step-by-step explanation:

Answer:

h= - 5

Step-by-step explanation:

3(h+8)-1=8

3h+24-1=8

3h+23=8

3h=8-23

3h=-15

h=-15/3=-5

Answer:

h = -5

Step-by-step explanation:

Answer:

its simple greatest number less that 400 is 399

Answer:

388

Step-by-step explanation:

Definition from Wikipedia

In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as gcd(x,y) . For example, the GCD of 8 and 12 is 4, that is, gcd(8,4)=4  (https://en.wikipedia.org/wiki/Greatest_common_divisor)

Methodology to find greatest common denominator(factor) for 2 numbers

Note that even though I have listed all divisors of the higher number, you don't have to compute all divisors. You can stop figuring out the divisors once the larger number is divisible by the number that is higher than 4 but slosest to i. For example, in the case of 396, I would stop computing as soon as I found it is divisible by 6

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer:

I think it's 20%

Step-by-step explanation:

16 is 80% of 20.

Answer:

Step-by-step explanation:

8>x+10
Subtract 10 from both sides

Which will give you -2>x

Answer:

Step-by-step explanation:

6.40 im not sure but i think

\(\displaystyle\ \boldsymbol{(-27)\div(-9\div\frac{1}{9})=-27\div(-9\cdot9)=} \\\\\boldsymbol{-27\div-81=\boxed{\frac{1}{3}} }}\)

Answer: As the car moves from "BLUE" to "B"L"U"E", it slows down its acceleration, reaches its maximum velocity, and then decelerates. The change in the car's motion is due to the change in the slope of the graph from positive to zero to negative. At "BLUE", the car has the highest positive slope, which represents the maximum acceleration. As the car moves towards "B"L"U"E", the slope of the graph decreases and becomes zero at the highest point of the graph. At this point, the car has reached its maximum velocity, and it starts to decelerate towards "B"L"U"E". Finally, at "B"L"U"E", the slope of the graph is negative, indicating that the car is decelerating.

Step-by-step explanation:

Answer:

draw a line that makes a triangle and rectangle.

hypotenuse= 30

3k-4k-5k triangle

18-24-30

so the short part of triangle is 18 cm

10+10+18+24+30 equals 92

sorry for language I am not familiar with English

the perimeter of this shape is

24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm

THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!

The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.

The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.