Mathematics, 18.07.2019 15:30, angie07253

What is the value of z in the triangle? enter your answer in the box. round your final answer to the nearest hundredth. z = in. a right triangle. one angle measures 37 degrees. the side adjacent to the 37-degree angle measures 10 inches. the hypotenuse is labeled as z.

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answered: succ29

z = 12.53 inches.

Step-by-step explanation:

Given : A right triangle. One angle measures 37 degrees. The side adjacent to the 37-degree angle measures 10 inches. The hypotenuse is labeled as z.

TO find : What is the value of z in the triangle? Enter your answer in the box. Round your final answer to the nearest hundredth.

Solution : We have given that a right triangle with one angle 37 degree and

side adjacent of 37 degree = 10 inches

Hypotenuse = z

By the cosine ration :

Cos (Ф) = $\frac{adjecent\ side}{hypotneuse}$

plugging the values of adjacent side and hypotenuse

Cos (37) = $\frac{10}{z}$

On multiplying both side by z

z (0.798) = 10

On dividing by 0.798 both sides

z = $\frac{10}{0.798}$

z = 12.53 inches.

Therefore, z = 12.53 inches.

answered: 19thomasar

Applying the trigonometry ratio, CAH, the value of z is: 12.5 inches.

Trigonometry Ratios

Trigonometry ratio for solving a right triangle is given as SOH CAH TOA.

Thus:

Reference angle (∅) = 37°Adjacent = 10 inchesHypotenuse = z inches

Apply CAH:

Cos ∅ = adj/hyp

Substitute

cos 37 = 10/z

z = 10/(cos 37)

z = 12.5 inches.

Learn more about the trigonometry ratio on:

link

answered: Guest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answered: Guest

eve and marks ratios are equivalent

step-by-step explanation: