All categories

3 years ago

Sin 0= 8/17 determine the value of tan?

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

tan theta = 8/15

Step-by-step explanation:

Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.

To find the value of the adjacent side from theta, use the Pythagorean Theorem.

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

Subtract 64.

b^2 = 225

Take the square root.

b = 15.

So that means:

the side opposite from theta is 8,

the side adjacent from theta is 15,

the hypotenuse is 17.

Now we take tan, opposite over adjacent, and use the values from the triangle.

tan = opposite / adjacent

tan = 8/15.

You might be interested in

Help with the second question. I'm stuck.

IRISSAK [1]

(1/12) / 10 = 1/x.....1/12 distance to 10 min = whole distance(12/12) or 1 to x min
cross multiply
(1/12)(x) = (10)(1)
1/12x = 10
x = 10 / (1/12)
x = 10 * 12
x = 120 minutes or 2 hrs

I am not sure if u do it this way...but this will get u the answer

4 0

4 years ago

List multiples of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D" id="TexFormula1" title="\frac{5}{8}" alt="\frac{5}{8}

Mila [183]

Answer:

5/8

10/8 = 1 2/8 = 1 1/4

15/8 = 1 7/8

20/8 = 2 4/8 = 2/1/2

Step-by-step explanation:

DO NOT multiply both the numerator and the denominator by the same value.

6 0

2 years ago

What are two numbers multiplied together to get 15 but add to be 12?

KiRa [710]

So x times y=15
x+y=12
solve
x+y=12
subtract x from both sides
y=12-x
subsitute
xy=15
x(12-x)=15
distribute
12x-x^2=15
subtract (12x-x^2) from both sides
0=x^2-12x+15
use quadratic formula which is
x= $\frac{ -b+/- \sqrt{b^{2}-4ac} }{2a}$
where you have
0=ax^2+bx+c
so
a=1
b=-12
c=15
subsitute
x= $\frac{ -(-12)+/- \sqrt{-12^{2}-4(1)(15)} }{2(1)}$
x= $\frac{ 12+/- \sqrt{144-60} }{2}$
x= $\frac{ 12+/- \sqrt{84} }{2}$
x= $\frac{ 12+/- 2\sqrt{21} }{2}$
x=6+/- $\sqrt{21}$
x=6+ $\sqrt{21}$ or 6- $\sqrt{21}$ or aprox
x=10.5826 or 1.41742
the numbers are 10.5826 and 1.41742

3 0

4 years ago

Forty - five percent is written in decimal form as 0.45. If 45% of a number is 36 what is the number what is the equation

zvonat [6]

The answer is 80
36/.45=80

8 0

3 years ago

What is 65.047 to 1 decimal place?

Anarel [89]

65.0

This is because 4 is not a big enough number to round up, so you must round down. When it is 5 and over, you can round up.

6 0

3 years ago

Read 2 more answers