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2 years ago

10

A 11 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the buildi

ng will the ladder reach? Round the answer to the nearest tenth.

1 answer:

Sidana [21]2 years ago

3 0

Check the picture below.

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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}

krok68 [10]

Answer:

$|p-q|-(|p|-|q|) = 20$

Step-by-step explanation:

First let's find the value of 'p-q':

$p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\$

To find |p-q| (module of 'p-q'), we can use the formula:

$|ai + bj| = \sqrt{a^{2}+b^{2}}$

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

$|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25$

Now, we need to find the module of p and the module of q: $|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15$

$|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10$

Then, evaluating |p-q|-{|p|-|q|}, we have:

$|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20$

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3 years ago

A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The

NikAS [45]

Answer:

4.8

Step-by-step explanation:

took test

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3 years ago

Which of the following word problems models the expression? Select all that apply. Grace divided cups of popcorn into bags each

Soloha48 [4]

Answer:

9x^2+2+=0

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

18.79+2.11+(-1.92)+17.28

stellarik [79]

Answer:

36.26

Step-by-step explanation:

Hope this helps. Plz give brainliest.

7 0

3 years ago

Find the 8th term of the geometric sequence 5, -15, 45

FrozenT [24]

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{-15}{5}$ = - 3 , then

a₈ = 5 × $(-3)^{7}$ = 5 × - 2187 = - 10935

6 0

2 years ago