What is the value of the function 3/2t - 5/2 when t = 3?

Mathematics

1 answer:

irina [24]4 years ago

5 0

3/2t - 5/2
3/2(3) - 5/2
9/2 - 5/2
4/2
2

Answer: 2

You might be interested in

Gina wants to ship 3 books that weigh 2 7/16 pounds 1 7/8 pounds and 1/2 pound the max weight she can ship is 6 pounds estimate

ad-work [718]

First note that:

$2\dfrac{7}{16}=2+\dfrac{7}{16},$
$1\dfrac{7}{8}=1+\dfrac{7}{8}.$

Then add all three numbers:

$2\dfrac{7}{16}+1\dfrac{7}{8}+\dfrac{1}{2}=2+\dfrac{7}{16}+1+\dfrac{7}{8}+\dfrac{1}{2}=(1+2)+\left(\dfrac{7}{16}+\dfrac{7}{8}+\dfrac{1}{2}\right)=3+\dfrac{7}{16}+\dfrac{14}{16}+\dfrac{8}{16}=3+\dfrac{7+14+8}{16}=3+\dfrac{29}{16}=3+1+\dfrac{13}{16}=4+\dfrac{13}{16}=4\dfrac{13}{16}.$

The total weight of books is $4\dfrac{13}{16}$ pounds that is less than 6 pounds.

Answer: Gina can ship all 3 books

8 0

4 years ago

Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...

never [62]

Answer:

x = 25.734083

$x \approx 25.734$

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)

Tangent Ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$