In which triangle is the value of x equal to cos−1 (4.3/6.7)? (images may not be drawn to scale.)

we know that

In a right triangle

the value of the cosine is equal to

and the value of the sine is equal to

so

First case

substitute

therefore

The first case is the solution

Second case

substitute

therefore

The second case is not the solution

Third case

Note The hypotenuse cannot be smaller than the adjacent leg or the opposite leg. This problem has errors

substitute

therefore

The third case is not the solution

the solution is the first case

see the attached figure

We will look for the triangle that has an adjacent side of 4.3 and a hypotenuse of 6.7. From the options, triangle A matches this parameter: Option A is correct.

For us to get the correct answer, we will use the SOH CAH TOA identity to verify

O is the Opposite side

H is the hypotenuse side

A is the adjacent side

Since

Cos x = 4.3/6.7

Since Cos x = Adjacent/Hypotenuse

Adjacent = 4.3

Hypotenuse = 6.7

We will look for the triangle that has an adjacent side of 4.3 and a hypotenuse of 6.7. From the options, triangle A matches this parameters.

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i have no answer for this maybe o 7 units

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500