My cat, Huckleberry, sneaked out of the house and climbed onto my roof. My dad brought his extension ladder to help get Huckle down. Dad is standing 6 feet from the house, and the angle of elevation from him to Huckleberry is 75 degrees. To what length should the ladder be extended so that Dad can grab Huckle and bring him to safety? Round to the nearest tenth.

Answer:

12x² + 17x - 5

Step-by-step explanation:

Given

(3x + 5)(4x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x - 1) + 5(4x - 1) ← distribute parenthesis

= 12x² - 3x + 20x - 5 ← collect like terms

= 12x² + 17x - 5

it needs to be shifted to the positive side of the graph by 4 units so right by 4 units is the correct answer

The answer is A. Left by four units. I took the test so it is correct, here is photographic proof:

Answer:

1. ∠1 = 120°

2. ∠2 = 60°

3. ∠3 = 60°

4. ∠4 = 60°

5. ∠5 = 75°

6. ∠6 = 45°

Step-by-step explanation:

From the diagram, we have;

1. ∠1 and the 120° angle are corresponding angles

Corresponding angles are equal, therefore;

∠1 = 120°

2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;

∠2 + 120° = 180°

∠2 = 180° - 120° = 60°

∠2 = 60°

3. Angle ∠3 and ∠2 are vertically opposite angles

Vertically opposite angles are equal, therefore, we get;

∠3 = ∠2 = 60°

∠3 = 60°

4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;

∠1 + ∠4 = 180°

∠4 = 180° - ∠1

We have, ∠1 = 120°

∴ ∠4 = 180° - 120° = 60°

∠4 = 60°

5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6

Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;

x = y

The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles

∴ x + y + 90° = 180°

From x = y, we get;

y + y + 90° = 180°

2·y = 180° - 90° = 90°

y = 90°/2 = 45°

y = 45°

Therefore, we have;

∠4 + ∠5 + y = 180° (Angle sum property of a triangle)

∴ ∠5 = 180 - ∠4 - y

∠5 = 180° - 60° - 45° = 75°

∠5 = 75°

6. ∠6 and y are alternate angles, therefore;

∠6 = y = 45°

∠6 = 45°.

Answer:

A = 2x² + x - 45

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth , thus

A = (2x - 9)(x + 5) ← expand using FOIL

   = 2x² + 10x - 9x - 45 ← collect like terms

    = 2x² + x - 45

Answer:

7

Step-by-step explanation: the rule is to divide by  in this case. 21 / 3 is 7

Answer:

? = 7 m

Step-by-step explanation:

6/18 = ?/21

18? = 126

? = 7

Answer:

A number that can go into another number without a remainder.

Step-by-step explanation:

Answer:

actor definition, one of the elements contributing to a particular result or situation: Poverty is only one of the factors in crime.

Answer:

f(7) = - 5

Step-by-step explanation:

Locate x = 7 on the x- axis, go vertically down to meet the graph at (7, - 5 )

Then the value of f(7) = - 5

Answer: y=7

Step-by-step explanation: looking at the graph when x is -5 y= 7

Answer:

(1,2)

Step-by-step explanation:

So, if y= 2x...

2x= 8x-6

-6x= -6

x= 1

y=2x

y= (2)(1)

y=2

(1,2)

Answer:

15 customers

Step-by-step explanation:

Given data

Total Number of customers= 25

60% of 25 customers made an additional purchase

Hence the number of customers that made additional purchase is

=60/100*25

=0.6*25

=15customer

Hence 15 customers made additional purchase

Answer: 9 x + 7 /2

Step-by-step explanation:

Answer:

 8 + 9x

Step-by-step explanation:

This is an algebraic expression.  Our job here is to simplify it by combining like terms:  combine the x terms and then combine the constants:

-3x + 5 ¾ + 12x - 2.25, after combining the x terms, is

       5 ¾ +    9x - 2.25

Next, combine the constants.  It's easier to convert -2.25 to -2 1/4 and then

add this 2 1/4 to 5 3/4:  

             8 + 9x

Answer:

2/36 or 1/18

Step-by-step explanation:

rolling two dice produces 36 outcomes

rolling a 3 and a 6 is one outcome

rolling a 6 and a 3 is a second outcome

Answer:

nice

Step-by-step explanation:

Answer:

x=32

Step-by-step explanation:

So a triangles angles add up to 180 degrees. . .

2x+116=180

64=2x

x=32

Answer:

it should be 11.85 if it's not I do not know what is the answer to it

Answer:

actually the answer is 64

Step-by-step explanation:

s= p+3

(number of sports drinks= s)

(pizza slices= p)

Answer:

(k - 4) ÷ 9

(k - 4) / 9

Step-by-step explanation:

k decreased by 4 = k - 4

quotient of k decreased by 4 and 9

= (k - 4) ÷ 9 (using division sign)

Or

= (k - 4) / 9 (as a fraction)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25c^2: 1,5,25,c,\& \ c}[/tex]

[tex]\mathsf{10w^2: 1,2,5,10,w,\& \ w}[/tex]

[tex]\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

9514 1404 393

Answer:

  Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

  0.15p = 175

  p = 175/0.15 = 1166.67

When the tax is added, the total comes to ...

  1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

Answer:

A,D,E

Step-by-step explanation:

-4(x + 2) – 2x + 4

=-4x-8-2x+4    D

=4x-2x-8+4     E

=-6x-4             A

Hope it helps!

Answer:

second account

Step-by-step explanation:

hcjdlajshdksksjs

Answer:

Step-by-step explanation: what’s the equation?

Answer:

Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.

Step-by-step explanation:

Answer:

p < -8

Step-by-step explanation:

i hope this helps :)

Answer:

B

Step-by-step explanation: