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3 years ago

1. A ladder 17 feet long is leaned up against a house,

Mathematics

1 answer:

zepelin [54]3 years ago

7 0

Answer:

The base of the ladder has a length of 8 ft.

Step-by-step explanation:

We have to draw a triangle, as the figure attached.

The hypothenuse of the triangle is the length of the ladder (17 ft).

The height on the wall that the ladder reach is the adjacent (15 ft).

The base of the ladder is our unknown quantity X.

We will use the Pythagorean theorem to express the relation between these numbers:

$c^2=a^2+b^2\\\\17^2=15^2+x^2\\\\x^2=17^2-15^2=289-225=64\\\\x=\sqrt{64}=8$

The base of the ladder has a length of 8 ft.

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Which of the following lists the number of points at which a circle can intersect a triangle

vagabundo [1.1K]

Answer:

Step-by-step explanation:

1) Circle can intersect 1 corner of triangle.

2) Circle can intersect 2 sides of triangle 1 time.

3) Circle can intersect 2 sides of triangle 1 time and 1 corner of triangle.

4) Circle can intersect 2 sides of triangle 2 times.

5) Circle can intersect 2 sides of triangle 2 times and 1 side of triangle 1 time.

6) Circle can intersect 3 sides of triangle 2 times

I have attached the picture to understand better and to eliminate any confusions.

7 0

4 years ago

= Initial Knowledge Check Factor. 64w2+48w+9

noname [10]

Answer:

(8x+3)(8x+3) or x=-3/8

Step-by-step explanation:

7 0

3 years ago

Find the surface area of the regular pyramid

love history [14]

Greetings from Brazil!

$4\dfrac{1}{2} =\dfrac{9}{2}$

$Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2$

$Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2$

$At=Af1+Af2\\At=36+20,25\\At=56,25~m^2$

I hope I helped you! =)

6 0

3 years ago

If possible, choose k so that the following function is continuous on any interval:

Alexxx [7]

We need to cancel out the discontinuity in x = 4

In order to do that, factorize the numerator:
5x⁴ - 20x³ = 5x³(x-4)

This way, your function will be:
f(x) = 5x³(x-4) / (x-4)

and the two parentheses cancel out, leaving
f(x) = 5x³

which at x = 4 gives:
f(4) = 5·4³ = 5 · 64 = 320

Therefore K = 320.

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3 years ago

Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.

dedylja [7]

Answer:

10-x=-45

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers