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3 years ago

12

Two ladders are leaned against a wall such that they make the same angle with the ground. The 10’ ladder reaches 8’ up the wall.

How much further up the wall does the 18’ ladder reach?

1 answer:

Pachacha [2.7K]3 years ago

3 0

Answer:

16'

Step-by-step explanation:

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Which expressions are equivalent to 5x-15? Select three options.

igomit [66]

Answer:

The number 2 for sure but i dont know the rest

Step-by-step explanation:

8 0

3 years ago

An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time

d1i1m1o1n [39]

Answer:

a) $s=\sqrt{1+d^2}$

b)d(t)=500t

c) $s(t) =\sqrt{1+250000t^2}$

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

$Hypotenuse^2=Perpendicular^2+Base^2$

$s^2=1^2+d^2$

a) $s=\sqrt{1+d^2}$

(b) Express d as a function of the time t (in hours) that the plane has flown.

$distance = speed \times time$

d(t)=500t

(c) Use composition to express s as a function of t.

$s(t) =\sqrt{1+d^2}$

using b

$s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}$

6 0

3 years ago

What is the approximate distance between the points (-5,1) and (-2,3) on a coordinate grid? Show me an example please

yaroslaw [1]

Answer:

$d=\sqrt{13}\ units$ or $d=3.61\ units$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-5,1)\\E(-2,3)$

substitute the values

$d=\sqrt{(3-1)^{2}+(-2+5)^{2}}$

$d=\sqrt{(2)^{2}+(3)^{2}}$

$d=\sqrt{13}\ units$

$d=3.61\ units$

the graph in the attached figure

4 0

3 years ago

Which expression is equivalent to (5^-2)(5^-1)

nadya68 [22]

The rule for multiplying similar bases with exponents:

(a^b)(a^c)=a^(b+c)

In this case we have:

(5^-2)(5^-1)

5^(-2-1)

5^(-3)

The rule for negative exponents:

a^(-b)=1/(a^b)

So in this case:

5^(-3) is equal to

1/(5^3)

1/125

5 0

3 years ago

Read 2 more answers

Which number is divisible by both three and nine?

horrorfan [7]

Answer:

765 is divisible by 3 and 9 I hope that this helps

Step-by-step explanation:

765÷9=85

765÷3=255

7 0

2 years ago