Alizard needs to stay a safe distance from a cactus. the diameter of the cactus is 12 inches. if the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). if necessary, round to the hundredths place.

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus=

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem:

Using pythagorous theorem

Hence, the direct distance of lizard from cactus=10 in

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!