Answer:
Step-by-step explanation:
Firstly we've to find the hypotenuse of the first triangle:
<u>In the first triangle, for the angle 45: </u>
Adjacent = 10
Hypotenuse = ?
Using cos for it.
Cos 45 = adjacent / hypotenuse
0.707 = 10 / hyp
hyp = 10 / 0.707
hyp = 14.14
The hypotenuse of the first triangle is actually the base (or opposite) of the triangle.
Also, hypotenuse = x and angle is 60 degrees.
<u>So, we will use the sin ratio.</u>
sin 60 = opposite / hypotenuse
0.866 = 14.14 / x
x = 14.14 / 0.866
x = 16.3
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
The answer is 6.25 pi cm squared
Answer:
17.7 cm
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
Hypotenuse = √Opposite ² + Adjacent ²
Opposite = 12 cm
Adjacent = 13 cm
Hence,
Hypotenuse = √12² + 13²
= √144 + 169
= 17.691806013 cm
Approximately = 17.7 cm
Therefore, the measure of the Hypotenuse is 17.7 cm
Answer:
a) First Average mean = 21
b) Current mean = 22
Step-by-step explanation:
Formula For mean =
Sum of Terms/ Number of terms
a)Sandy had test scores of 20, 25, 17, 22, and 21.
Number of terms = 5
Mean = (20 + 25 + 17 + 22 + 21)/5
= 105/5
= 21
b) On the next 3 test Sandy's score were 24, 24, and 23
To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.
Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8
Mean = 176/8
Mean = 22
Answer: x=20
Step-by-step explanation:
The two angles are vertically opposite so they are equal to each other
7x-99=2x+1
5x=100
x=20
