there are 23 tables in the library. each table has 4 chairs. 3rd graders sit in all the chairs at 3 tables. fourth graders sit in all the chairs at 6 tables the rest are empty

Answer:

Finding x FIRST:

2x-9 = x+5

1x-9 = 5

1x = 14

x = 14

Perimeter = Add all sides

Perimeter of KLM = 15+(2x-9)+8

                             = 15+(2(14)-9)+8

                             = 15+(28-9)+8

                             = 15+19+8

                             = 42 units

Answer:

I think it is five meters

Answer:

B

Step-by-step explanation: Please mark Brainiest if I'm right.

Answer:C

Step-by-step explanation:

Answer:

its odd because the last digit is odd.

Step-by-step explanation:

Answer:

[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

[tex]Sin\ C = \frac{h}{a}[/tex]

Make h the subject:

[tex]h = aSin\ C[/tex]

Also, in BOC (Using Pythagoras)

[tex]a^2 = h^2 + x^2[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2 = a^2 - h^2[/tex]

Substitute [tex]aSin\ C[/tex] for h

[tex]x^2 = a^2 - h^2[/tex] becomes

[tex]x^2 = a^2 - (aSin\ C)^2[/tex]

[tex]x^2 = a^2 - a^2Sin^2\ C[/tex]

Factorize

[tex]x^2 = a^2 (1 - Sin^2\ C)[/tex]

In trigonometry:

[tex]Cos^2C = 1-Sin^2C[/tex]

So, we have that:

[tex]x^2 = a^2 Cos^2\ C[/tex]

Take square roots of both sides

[tex]x= aCos\ C[/tex]

In triangle BOA, applying Pythagoras theorem, we have that:

[tex]AB^2 = h^2 + (b-x)^2[/tex]

Open bracket

[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]

Substitute [tex]x= aCos\ C[/tex] and [tex]h = aSin\ C[/tex] in [tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]

[tex]AB^2 = h^2 + b^2-2bx+x^2[/tex]

[tex]AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2[/tex]

Open Bracket

[tex]AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C[/tex]

Reorder

[tex]AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C[/tex]

Factorize:

[tex]AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C[/tex]

In trigonometry:

[tex]Sin^2C + Cos^2 = 1[/tex]

So, we have that:

[tex]AB^2 = a^2 * 1 + b^2-2abCos\ C[/tex]

[tex]AB^2 = a^2 + b^2-2abCos\ C[/tex]

Take square roots of both sides

[tex]AB = \sqrt{a^2 + b^2-2abCos\ C}[/tex]

Answer:

511121.09784 <33

Step-by-step explanation:

Calculator :)

556775.55444 - 45654.4566 = 511121.09784

Answer:

She should have divided the cost of the carton by the number of eggs to find the price per egg.

Step-by-step explanation:

Answer:

2826/25

Step-by-step explanation:

28.26×4=========2826/25

Answer:

$612 was the total amount of the order before sales tax.

Step-by-step explanation:

30 × 24

720

$720 is the full order without the discount being applied

24 is more than 10 bats so the discount will be applied

Convert the percentage into a decimal (move the decimal place two places to the left)

(30 × 24) × (.15)

720 × .15

108

$108 is the discount off the full order of 24 bats

720 - 108

612

$612 is the full order, including the discount

Answer:

9u² + 4u + 9

Respond w/ any questions...

Answer:

9u^2 + 4u + 9

Step-by-step explanation:

eliminate parentheses - 4u + 9 + 9u^2

rearrange terms - 9u^2 + 4u + 9

Answer: No he's wrong

Step-by-step explanation:

Answer:

x = 61°

Step-by-step explanation:

Property of a triangle,

Sum of interior angles of a triangle = 180°

By applying this property in ΔABC,

m∠A + m∠B + m∠C = 180°

x° + 67° + 52° = 180°

x + 119° = 180°

x = 180 - 119

x = 61°

Therefore, measure of angle A = x = 61°  

Answer:

1 mile of gas will go 38 miles.

Step-by-step explanation:

If 6 gallons goes 228 miles, how many does 1 gallon go? You would have to divide 228 by 6 in order to find how many miles are in one gallon.

OR, if you prefer algebra:

228 miles/ 6 gallon = (x) miles/ 1 gallon

Which would be 228/6 = x/1

Answer: 45.5 miles

Step-by-step explanation: divide182 by 4

Answer:

182/4=45.5

the bus travels 45.5 miles in 1 hour

I hope this helps!!

Step-by-step explanation:

Answer:

[tex] \sin A= \frac {1} {\sqrt {82}}[/tex]

Step-by-step explanation:

[tex]\sin A= \frac {BC} {BA} \\\\

\sin A= \frac {1} {\sqrt {82}} \\\\[/tex]

The exact value of sin A in simplest radical form is  1 /√82.

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.

Now from the given triangle we have,

Hypotenuse, AB = √82

Perpendicular, BC = 1

Base, AC = 9

Since, sine function is the  ratio of the length of the opposite side to that of the hypotenuse.

Thus, Sin A = Perpendicular / Hypotenuse

⇒ Sin A = 1 /√82

which is the required the exact value of sin A in simplest radical form.

Thus, the exact value of sin A in simplest radical form is  1 /√82

To learn more about sine function :

https://brainly.com/question/1685727

#SPJ2

Answer:

i think its 1.5 im not sure tho 1.5 sounds the best

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

This means that AB⊥BC

The dilation doesn't affect the shape of the triangle, therefore:

Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is  - 1.

Let the slope of B'C' is x, then:

Correct option is C

Answer: shift it to the right, 8 units

Step-by-step explanation:

Just did the question aswell

To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right.

We define a horizontal shift of N units for a function f(x) as:

g(x) = f(x + N)

In this case we have the functions:

g(x) = (x - 8)^2

f(x) = x^2

Comparing these, we can see that:

g(x) = f(x -8)

Meaning that g(x) is a shift of 8 units to the right of y = x^2

Then the complete statement would be:

"To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right."

If you want to learn more about translations, you can read:

https://brainly.com/question/17485121

Answer:

it's easy u stupido perra

Step-by-step explanation:

Answer:

Your first point should be at (0,-2), because of the y intercept. Then, since the slope is 3, you want to rise 3 and run 1. Go up 3, then to the right 1. That should be  your next point. Then do it again, and again, how many ever times you need to.

Answer:

A

Step-by-step explanation:

Hope This Helps

Answer:

5/8

.625

62.5%

Step-by-step explanation:

Answer:

There are 42 animals at the shelter

Answer:

B.4

Step-by-step explanation:

hope this helps:)

Answer:

Actually its option C. 5

Step-by-step explanation:

Trust me

n=120

n=5

Answer:

18

Step-by-step explanation:

Answer:

1 out of 17

Step-by-step explanation:

Answer:

a) 0≠ -10

b) x= -3

c)y= 0

Step-by-step explanation:

a) 3-4x=-7-4x

[tex]3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10[/tex]

So, this equation has no solution as both sides are not equal.

b) [tex]15-2x=-7x[/tex]

Solving:

[tex]15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3[/tex]

So, this equation has one solution

c) 7(y-3)=6y-21

Solving:

[tex]7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0[/tex]

So, this equation has one solution.

1. Write equation with no solution. 3-4x=-7-4x (check solution of a)

2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)

3. Write equation with infinite solution. 2x + 3 = x + x + 3

solving:

2x+3=2x+3

2x-2x+3=3

3=3

When both sides are equal, the equation has infinite solutions.

Answer:

i wish i could help you

Step-by-step explanation:

Answer:

it could be all of them

Step-by-step explanation:

Because all of them have 3 measures of length

Answer:

80

Step-by-step explanation:

40% of 200=80

Answer:

80

Step-by-step explanation:

40% of 200

40/100×200

80

Answer is 80

Answer: A

Step-by-step explanation: Pic is attached. Hope this helps.