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2 years ago

The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?

Mathematics

1 answer:

Vlad [161]2 years ago

6 0

Answer:

the answer would be 13.75 feet

Step-by-step explanation:

The computation of the tall is the building as follows:

Given that

Base is 6 foot

And, the hypotheses is 15 feet

Here we use the Pythagoras theorem

= √15^2 - √6^2

= √225 - √36

= √189

= 13.75 feet

Hence the answer would be 13.75 feet

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Solve the inequality: n - 7 > -4

ollegr [7]

Answer:

n-7>-4

n-7+7>-4+7

n>-4+7

n>3

3 0

2 years ago

The product of (3 − 4i) and____is 25.

LiRa [457]

$(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}$

$9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}$

6 0

2 years ago

8 cups of orange juice is used for the fruit punch for every 12 cups of apple juice. If there is a total of 60 cups of fruit pun

Ostrovityanka [42]

Answer:

It would be 40 Orange Juice cup

Step-by-step explanation:

Cause 12 times 5 would equal 60

So if you times 5 and 8 it would be 40

6 0

2 years ago

A student theatre charges $9.50 per ticket. The theater has already sold 70 tickets. Write and solve an inequality that represen

Leona [35]

To make the inequality, we will use the ≥ sign to determine how many more tickets we will need. Before we write the inequality, let's see how much money was already made by the present tickets. 70 x 9.50 = $665.
We can write the inequality as $665 + $9.50t ≥ $1000 where t is the number of tickets sold. Now we can solve
$665 + $9.50t ≥ $1000, subtract 665
$9.50t ≥ $335. Now isolate the t by divide 9.50 to both sides
t ≥ 35.26 which we can round up to 36 because you cant sell 35.26 tickets.
So you need at least 36 more tickets to earn at least $1000

5 0

2 years ago

Will give brainiest and thx for the help

irinina [24]

C would be the correct answer I hope you have an amazing day!

7 0

1 year ago