Andrew needs a ladder to hang holiday lights. His house is 24 feet tall and he has a flower bed that extends 4 feet out from the side of the house. How long of a ladder will he need to reach the top and be out of the flower bed?

Answer:

I think this is my best solution for your question

Answer:

(6, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x - 5y = 13

x + 4y = 10

Step 2: Rewrite Systems

x + 4y = 10

Step 3: Redefine Systems

3x - 5y = 13

x = 10 - 4y

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer:

(6,1)    x=6 and y=1        

Step-by-step explanation:

EASY we can use Elimination or Substitution process

We are going to solve by

Elimination process

Subtract each other

(3x-5y=13)

(x+4y=10)

3x-5y=13;x+4y=10

To solve this multiply (x-4y=10) by 3 to get rid of the x

3x-12y=30

now u can subtract both

3x-12y=30 minus

3x-5y=13

17y=17

Divide both sides by 17

y=1

Now we have y lets plug it in to find x

x+4(1)=10

x+4=10

subtract 4 from both sides

x=6

x=6 and y=1

Answer:

x = 16

Step-by-step explanation:

90 = x+8+66

x = 90-74

x = 16

Answer:

16

Step-by-step explanation:

:D

Answer:

a. i. 1.11 h ii. 1 h. b. Liam

Step-by-step explanation:

a.

i. Sam's time

We know distance d = vt where v = speed and t = time.

Since our distance here is the length of the path, d = 1 mile.

For Sam, his speed up the hill is v = 1 mph, so, the time it takes him to go uphill is t = d/v = 1 mi/1 mph = 1 h.

He goes down hill at a speed of v = 9 mph, so the time it takes him to go down hill is t = d/v = 1 mi/9 mph = 1/9 h = 0.11 h

So, the total time it takes him to complete the trip is t = 1 h + 0.11 h = 1.11 h

ii. Liam's time

For Liam, his speed both uphill and downhill is v = 2 mph, so, the time it takes to cover each trip is t = d/v = 1 mi/2 mph = 0.5 h.

So for both uphill and downhill trip, the total time is t' = 2 × 0.5 h = 1 h

b. Since Liam's time t' = 1 h < Sam's time t = 1.11 h, that is t' = 1h < t = 1.11 h, Liam is the winner.

Answer:

Whole numbers are also integers. There are other integers which are the opposites of the whole numbers (−1, −2, −3, ...). These negative numbers lie to the left of 0 on the number line. Integers are the whole numbers and their opposites.

Answer:

(i) ∠ABH = 14.46⁰

(ii) The length of AH = 4.6 m

Step-by-step explanation:

From the image uploaded;

Consider △ABC;

the length of b is calculated by applying Pythagoras theorem as follows;

b² = c² - a²

b² = (13.2)² - (6.9)²

b² = 126.63

b = √126.63

b = 11.25 m

Also, ∠ABC is calculated as;

[tex]Cos \ B = \frac{a^2+c^2-b^2}{2ac} \\\\Cos \ B = \frac{(6.9)^2+(13.2)^2-(11.25)^2}{2(6.9 \times13.2)}\\\\ Cos \ B = \frac{95.288}{182.16} \\\\ Cos \ B = 0.5219 \\\\B = Cos ^{-1} (0.5231)\\\\B = 58.46 ^o[/tex]

Consider △CBH, ∠CBH is calculated as;

∠CBH = 90⁰ - 46⁰ = 44⁰

(i) ∠ABH will be calculated as;

∠ABH = θ

θ + 44⁰ = ∠ABC

θ + 44⁰ = 58.46⁰

θ = 58.46⁰  - 44⁰

θ = 14.46⁰

Thus, ∠ABH = 14.46⁰

(ii) The length of AH

length HC is calculated as;

[tex]tan \ 46^o =\frac{6.9}{HC} \\\\HC = \frac{6.9}{tan \ 46^o } \\\\HC = 6.66 \ m[/tex]

length of AH = CA - HC

x = b - HC

x = 11.25 - 6.66

x = 4.6 m

length of AH = 4.6 m

Answer:

5.61 billion dollars.

Step-by-step explanation:

4.61+1.03=5.61

Answer:

0.223

Step-by-step explanation:

Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

103 ÷ 461 = 0.223

and therefore:

1.03 ÷ 4.61 = 0.223

Both calculated to 3 decimal places.

Answer:

y=9

Step-by-step explanation:

they grow together by the same amount

Answer:

27/2...or 13.5 as a decimal

Step-by-step explanation:

the ratio of y and x is y/x or, 9/2 with 9 being the y and 2 being the x

the X changed to 3, so y/3 is the new ratio. Since we have another ratio, we can compare them to get the y

the equation : 9/2=y/3--2x=27--

x=27/2

Answer:

From smallest to largest

0.2, 1/2, 60%

Step-by-step explanation:

:)

Answer:

0.2, 1/2, 0.6/60%

Step-by-step explanation:

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

cos 38, sin 38, sin 1580, cos 1589

Answer:

72

Step-by-step explanation:

To calculate how much 20% of 360 makes we multiply 360 with 20 then divide it with 100

360 × 20 ÷ 100 = 72

Answer: y=7x^2−42x+69

Step-by-step explanation:

Answer:

3b(2a+1)(2a-1)

Step-by-step explanation:

12a²b-3b

3b(4a²-1)

3b{(2a)²-1²)}

3b(2a+1)(2a-1)

Answer:

y = 3x -3

Step-by-step explanation:

Find the slope first

Givens

y2 = 3

y1 = - 3

x2 = 3

x1 = 1

Equation

m= (y2 - y1)/(x2 - x1)

Solution

m = (3 - - 3) / (3 - 1)

m = (3 + 3) / 2

m = 3

Find the y intercept next

Use either point to find the y intercept

y = 3x + b

x = 3

y = 3

y = 3*3 + b

3 = 6 + b

-3 = b

Answer

y = 3x - 3

Answer:

12.4 feet

 Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3

If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3

so,

x/93/5 = 2/3

Multiplying both sides with 93/5

x = 2/3 * 93/5

x = 62/5 =12.4

Answer:

$15

Step-by-step explanation:

Total distance to be covered = 150km

Fuel efficiency = 6 km per l

150 / 6 = 25

Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel

= 25 x 0.6

= 15

Answer:

The answer is 11

Step-by-step explanation:

so substitute 3 for x, then your equation would be 3^2 + 2

3^2 is 9

9 + 2 = 11

The side of the square is [tex]x^5[/tex].

area of a square = (side)² = a²,

area of a square = [tex]x^{10}[/tex]

Equating it with the general formula of square

[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]

[tex]x^{10} = a^2[/tex]

Taking square root on both sides,

[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]

[tex]a = x^5[/tex]

Hence, the side of the square is [tex]x^5[/tex].

Learn more about the Area of square:

https://brainly.com/question/1658516

The monomial which represents a side of the square is; x⁵

Area of a square

The area of a square is a 2-dimensional quantity and can be evaluated by the formula;

Hence, the length of the sides of the square is;

According to the question, the given area is x¹⁰.

Therefore, the length of each side is;

Read more on area of a square;

https://brainly.com/question/16758129

Answer:

Step-by-step explanation:

(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1

y - 0 = -1(x + 2)

y = -x - 2

slope is -1

Answer:

13.44

Step-by-step explanation:

she is right...........

Answer:

The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Step-by-step explanation:

The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Answer:

Step-by-step explanation:

- (3/4)

Answer:

3/2

Step-by-step explanation:

If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)

Answer:

The answer is 9

Step-by-step explanation:

So In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, add 79 and 10 and subsequently subtracting 72 and 8 to get 9.

Answer:u

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 2/3 = 8/3

24 ÷ 8/3

= 9

Answer:

um B

Step-by-step explanation:

???????

Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

0.78= 78%

13/20=0.65

7/25=28%

17/50=34%