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marysya [2.9K]
3 years ago
14

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?
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

24.33 feet

Step-by-step explanation:

The flower bed, the ladder and the house form a right angled triangle where the length of the ladder is the hypotenuse side.

Let L = length of ladder, H = height of house = 24 feet and l = length of flower bed = 4 feet.

Using Pythagoras' theorem,

L² = H² + l²

So, L = √(H² + l²)

substituting the values of the variables, we have

L = √[(24 ft)² + (4 ft)²]

L = √[576 ft² + 16 ft²]

L = √[592 ft²]

L = 24.33 ft

The ladder must be at least 24.33 feet long to reach the top and be out of the flower bed

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Answer:

<h2><em><u>2a</u></em></h2>

Step-by-step explanation:

(a+b-c)-(b-a-c)

= a + b - c - b + a + c

= a + a + b - b - c + c

= <em><u>2a (Ans)</u></em>

5 0
3 years ago
Read 2 more answers
Find the next three terms of the geometric sequence -8, 12, -18,27
Pie

Answer:

-40.5, 60.75, -91.125

Step-by-step explanation:

first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.

3 0
3 years ago
Please help with Geometry homework!!! Will give brainliest and 50 points to whoever answers first!!!
liraira [26]
A. Is 2x
B. Is 2x+3
This shows the line and contracts it
7 0
3 years ago
If the measure of angle AXC =8x-7 and the measure of angle AXB=3x+10 what is the measure of angle AXC?
PSYCHO15rus [73]

Answer:

<AXC = 101 degrees.

Step-by-step explanation:

The question says that XB is a bisector which means that <AXB = 1/2 of AXC

You can't do the question if that assumption isn't true.

<AXC  = 8x - 7

<AXB = 3x + 10

3x + 10 = 1/2 ( 8x - 7)     Multiply both sides by 2

2(3x + 10) = 8x - 7         Remove the brackets

6x + 20 = 8x - 7             Add 7 to both sides

6x + 20 + 7 = 8x            Combine

6x + 27 = 8x                  Subtract 6x from both sides

27 = 8x - 6x                  Combine

27 = 2x                          Switch

2x = 27                          Divide by 2

x = 27/2

x = 13.5

AXC = 8x - 7

AXC = 8*13.5 - 7

AXC = 108 -7

AXC = 101

3 0
2 years ago
Please please help i beg ill give brainlist
Marta_Voda [28]

Answer:

a_{15}=-268,435,456

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

4\div-1=-4\\-16\div4=-4\\64\div-16=-4

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

a_n=a_1x^{n-1}

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

a_n=(-1)(-4)^{n-1}

Then, you can solve for the 15th term:

a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

4 0
2 years ago
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