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Sveta_85 [38]
2 years ago
8

A 20­ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, abou

t how high does the top of the ladder reach?
Mathematics
1 answer:
Tasya [4]2 years ago
8 0

Answer:  19.8 ft

Step-by-step explanation:

Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.  

The formula says  a^2 + b^2 = c^2

Where a and b are the two legs and  C is the hypotenuse.

In this situation, the hypotenuse will be length of the ladder , and either  a or b will be the length of the ladder from the building or the length of how long the ladder.

a will be 3 ,  and c will be 20. Input in the values  into the formula and solve for b.

3^2 + b^2 = 20^2

9 + b^2 = 400

-9              -9

 b^2 = 391  

    b = \sqrt{391}

  b  = 19.77371   round to the nearest tenth is ,  19.8

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16: 14 - divide by 2

16/2= 8 , 14/2=7

64:60- divide by 4

64/4= 16 , 60/4= 15

Answer: 16:14 and 64:60 are not equivalent.

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3 years ago
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4 0
2 years ago
The presence of a segment bisected will result in what type of segments?
Vlada [557]

Answer:

Option C → Congruent segments

Step-by-step explanation:

The meaning of segment bisector is a segment which divides another segment into two equal parts.It is not necessary that the segement which is bisecting the another segment are perpendicular with one another.

So, when a segment is bisected the two segments are equal.

Equal means the two segments are congruent.

Most appropriate statement

6 0
3 years ago
Read 2 more answers
A hotel wants to put a fence around a circular spa. The radius of the spa is feet. If the fence is built along the immediate edg
MariettaO [177]

For this case we must find the perimeter of the fence, in a circular way, knowing that the perimeter of a circle is given by:

P = 2 \pi*r

Where "r" represents the radius of the circle, in this case r = \frac {5} {\sqrt {2} -1}

Substituting in the perimeter equation we have:

P = 2 \pi * \frac {5} {\sqrt {2} -1}

Rationalizing we have:

P = \frac {2 \pi * 5 (\sqrt {2} +1)} {(\sqrt {2} -1) * (\sqrt {2} +1)}\\P = \frac {2 \pi*5 \sqrt {2} +2 \pi*5} {2-1}\\P = 10 \pi \sqrt {2} +10 \pi

Taking out common factor \pi:

P = (10 \sqrt {2} +10) \pi

Answer:

P = (10 \sqrt {2} +10) \pi\ feet

Option C


3 0
3 years ago
2 thousands 7 tens divided by 10 equal
Shkiper50 [21]

The answer is 207 or 2 hundreds 7 ones in unit form or two hundred seven in word form.

<h3>Further explanation</h3>

2 thousands 7 tens are a unit form. The standard form is 2,070.

Explanations and an example of questions about the four types of number forms can be found at brainly.com/question/4725342.

The key problem is working out the value of 90,000 divide by 10. This is a division operation.

\boxed{2,070 \div 10 = ?}

Option-1

Both numbers are divided by 10.

\boxed{2,070 \div 10 = 207 \div 1}

The result is

\boxed{2,070 \div 10 = 207}

Option-2

Division operations can be written as fractions, like this.

\boxed{\frac{2,070}{10} = ?}

The numerator and denominator are both divided by 10, or 'cross out a zero from both'.

\boxed{\frac{207}{1} = ?}

The result is

\boxed{2,070 \div 10 = 207}

- - - - - - -

If x is divided by y equals z, then x is equal to y multiplied by z.

\boxed{If \ x \div y = z \ or \ \frac{x}{y} = z, then \ x= y \times z}

Let's prove it!

\boxed{If \ 2,070 \div 10 = 207 \ or \ \frac{2,070}{10} = 270, then \ 2,070 = 10 \times 207}

This is proven.

<h3>Learn more</h3>
  1. Explanations and an example of a question about the four types of number brainly.com/question/4725342
  2. 5000 is ¹/₁₀ of what? brainly.com/question/106300
  3. 9 ten thousands divided by ten? brainly.com/question/545132

Keywords: 2 thousands 7 tens divided by 10, division operation, unit form, standard form, fractions, cross out a zero, the numerator and denominator

3 0
3 years ago
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