In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

3 0

2 years ago

It says to use rounding or compatible numbers to estimate the sum.<br> first problem is 24 + 8

KonstantinChe [14]

The estimated sum is 30.

4 0

4 years ago

What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each ar

MariettaO [177]

9514 1404 393

Answer:

Step-by-step explanation:

The number of permutations of 4 items is 4! = 24.

math, maht, mtah, mtha, mhat, mhta,

amth, amht, atmh, athm, ahmt, ahtm,

tmah, tmha, tamh, tahm, thma, tham,

hmat, hmta, hamt, hatm, htma, htam

7 0

3 years ago