Aright triangle has an angle that measures 34 and the adjacent side measures 17. what is the length of the hypotenuse to the nearest tenth?
f. 20.5
g. 25.2
h. 30.4
j. 34

20.5

Step-by-step explanation:

Let's label the vertices ABC as in the diagram below. Then

Data:

α = 34 °

β = 90 °

c = 17

Calculation:

cosα = AB/AC

Multiply each side by AC

ACcosα = AB

Divide each side by cosα

AC = AB/cosα = 17/cos34 ≈ 17/0.8290 ≈ 20.5

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).