A fire truck parks 30 feet

Mathematics

2 answers:

aliina [53]3 years ago

4 0

Answer:

about 33.5 feet tall

Step-by-step explanation:

use pythagorean's theorem:

a^2+b^2=c^2

plug in values:

30^2 + b^2 = 45^2

(we know the ladder extends diagonally so 45 is the hypotenuse meaning we plug it in for c)

rearrange the equation:

b^2= 45^2 - 30^2

b^2= 2025 - 900

b^2 = 1125

b= $\sqrt{1125} \\$

b= 33.5

Marianna [84]3 years ago

3 0

Answer:

34 ft. tall

Step-by-step explanation:

Your first step should to draw a diagram. When you do that, your diagram should look like a right triangle, the leg, or the distance from the firetruck to the building, (we'll call this a) should be 30ft. and the hypotenuse, or the ladder (we'll call this c), should be 45ft.

Now we have a visual so it'll be easier.

We know that this problem is a right triangle and we know that to solve for a missing side of a right triangle you use pythagorean theorem: a^2+b^2=c^2

We know one leg 'a' and the hyp. 'c' and we just need to find 'b' the other leg (aka the building):

Plug in numbers and simplify:

30^2+b^2=45^2

900+b^2=2025

b^2=1125

≈33.54 OR 34 ft. tall

You might be interested in

A number that is even and not a multiple of 4 or 6

Anestetic [448]

10 would be the answer I believe.

4 0

3 years ago

Read 2 more answers

Can someone please write this as a single logarithm and show work please and thank you

Mazyrski [523]

Answer:

$log_b(w^3y^4)$

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.

1) The power property of logarithms states that $log_ax^r = rlog_ax$ . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

$3log_bw+4log_by\\=log_bw^3+log_by^4$

2) The product property of logarithms states that $log_axy = log_ax+log_ay$ . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of $w^3$ and $y^4$ . Apply the property as seen below and find the final answer.