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prisoha [69]
2 years ago
13

A 13-A ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the to

p of the ladder from the ground?
If necessary, round your answer to the nearest tenth.
13
8
Mathematics
1 answer:
Anit [1.1K]2 years ago
5 0

Answer:

10.2 ft

Step-by-step explanation:

a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\

64 + b^{2} = 169

b^{2} = 105\\

b=\sqrt{105}

b= 10.2469

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What is the value of the expression 2[4(2^3+5)]-4^2
ivolga24 [154]

Answer:

88

Step-by-step explanation:

Solve inside first

2^3=8

8+5= 13

Now multiply by 4

=52

Now by 2

=104

Now this is what we have left

=104-4^2

Make it easy by solving 4^2 which is 16.

104-16

=88

3 0
3 years ago
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1
dimaraw [331]

The recursive formula for the arithmetic sequence is given as follows:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The recursive formula for the sequence is given by:

a_n = a_{n-1} + d

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

a_1 = 8, r = 13

Hence, the recursive sequence is given by:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

#SPJ1

3 0
1 year ago
What is -2 = 5 / (2x+3)
LUCKY_DIMON [66]

Answer:

x = -11/4

Step-by-step explanation:

Given that:

-2 = 5 / (2x+3)

Multiplying both sides by (2x + 3)

-2(2x + 3) = 5

"-" sign will alter the inner signs

-4x -6 = 5

Adding 6 on both sides:

-4x -6 +6 = 5 + 6

-4x  = 11

Dividing both sides by -4

-4x/-4 = 11/-4

x = -11/4

i hope it will help you!

3 0
3 years ago
Rewrite the equation in slope-intercept form: 8x - 3y - 5 = 0
algol [13]
Slope-Intercept Form: y = <span><span><span>8/3</span>x </span>+ <span><span>−5/</span><span>3</span></span></span>
6 0
2 years ago
A car travels 320 miles in 8 hours what is the unit rate in miles per hour
dangina [55]
The correct answer is 40 miles per hour.
7 0
3 years ago
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