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RideAnS [48]
3 years ago
13

A ladder 25 feet long is leaning against a wall the bottom of the latter is 4 feet from the base of the wall how far up is the i

s the top of the ladder round to the nearest 10th if necessary
Mathematics
2 answers:
devlian [24]3 years ago
4 0

Answer: the top of the ladder is 24.7 ft from the ground.

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height,h from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

25² = h² + 4²

625 = h² + 16

h² = 625 - 16 = 609

h = √609

h = 24.7 ft

ICE Princess25 [194]3 years ago
3 0

Answer:

The answer to your question is 24.7 ft

Step-by-step explanation:

Data

length of the ladder = 25 ft

distance from the ladder to the ladder = 4 ft

distance from the floor to the ladder = ?

Process

1.- Use the Pythagorean theorem to solve this problem

           c² = a² + b²

- solve for b

            b² = c² - a²

-Substitution

            b² = (25)² - (4)²

-Simplification

            b² = 625 - 16

            b² = 609

-Result

            b = 24.67 ft ≈ 24.7 ft

-Conclusion

The ladder is 24.7 ft from the floor.

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Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 ​ pint of ice cream, how many gu
Neporo4naja [7]

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

9 1/2 ÷ 3/5

19/2 * 5/3

95 / 6

= 15.8 guest

Hence, greatest Number of guest that can be served = 15

8 0
3 years ago
What is the slope intercept of (1,20)(2,40)(4,80)?
AleksandrR [38]
They all have the same slope do it with the equation (y2-y1)/(x2-x1) so if you do it for all of them for example (80-40)/(4-2)=20 and the same answer goes to every single combination.

Hope this helps!
6 0
3 years ago
Help plsss 20+ pointsss
Lena [83]

Answer:

3

Step-by-step explanation:

area of square=l*b so

81=3x multiply 3x

81=9x^2

81/9=x^2

9=x^2

\sqrt9=x

3=x

4 0
3 years ago
the length of the side of two squares are 4cm and 6cm .Find in its simplest form the ratio of them perimeter and area​
Zolol [24]

Length of side of a square = 4cm

Perimeter of this square :

=   \tt4 \times side

= \tt 4  \times 4

=  \tt16 \: cm

Thus, the perimeter of this square = 16 cm

Length of side of the second square = 6 cm

Perimeter of this square :

= \tt 4 \times side

=  \tt4 \times 6

= \tt 24 \: cm

Thus, the perimeter of this square = 24 cm

Ratio of the perimeters of both the squares :

=  \tt16 : 24

=  \tt \frac{16}{24}

=  \tt \frac{16 \div 4}{24 \div 4}

= \tt  \frac{4}{6}

= \tt  \frac{4 \div 2}{6 \div 2}

= \tt  \frac{2}{3}

Thus, the ratio of the perimeter of both the squares = 2:3

Length of side of the first square = 4 cm

Area of this square :

= \tt side \times side

= \tt 4  \times 4

= \tt  {16cm}^{2}

Thus, the area of the first square = 16 cm²

Length of side of the second sqaure = 6 cm

Area of this square :

=  \tt \: side \times side

=  \tt 6 \times 6

=   \tt{36cm}^{2}

Thus, the area of the second square = 36 cm²

Ratio of the areas of the two squares :

=  \tt16 : 36

= \tt  \frac{16 \div 4}{36 \div 4}

= \tt   \frac{4}{9}

=  \tt4 : 9

Thus, the ratio of the areas of the two squares = 4:9

Therefore, the ratio of the perimeter of the squares = <u>2:3</u> and the ratio of the areas of these squares = <u>4:9</u>.

4 0
3 years ago
Through (2, -4) and parallel to y= 9/2x+3
AlladinOne [14]

Answer:

y=\frac{9}{2\\} x-13

Step-by-step explanation:

first, since it's parallel the slope has to be the same and the y-intercept has to be different.

you will have y=9/2x+b

find b, by using the points you are given so you will get

-4=(9/2) times (2)+b.

then when sloving you will get b=-13 and so the full equation will be

y=9/2x-13

6 0
3 years ago
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