Answer:
6
Step-by-step explanation:
This is a right triangle, and so the Pythagorean Theorem applies. The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9. Then, this Theorem gives us the length of the hypotenuse as
h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.
Answer:
<u>The length of GI is 90.06 units</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
GH = 60 units
HI = 42 units
∠H = 123°
2. Using the Law of Cosines, we can find the length of GI, this way:
GI² = GH² + HI² - 2 * GH * HI * cos ∠H
Replacing with the real values:
GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 + 2,746.8
GI² = 8,110.8
<u>GI = √ 8,110.8 = 90.06 units</u>
Answer:
1.4
Step-by-step explanation:
7/5 = 1.4
Answer:
(2,10) or x=2 y=10
Step-by-step explanation:
<em>1. Pick one of your equations and solve for a variable. I chose the first equation and solved for x.</em>
5x-2y=-10 (Move the -2y to the other side, you need to do the opposite so you add +2y to -10)
5x=2y-10 (Divide the 5 from the x)
x=2/5y-2
<em>2. Now take what you got for x and plug it into the x variable on the other equation.</em>
3(2/5y-2)+6y=66 (Multiply 3 by 2/5y and -2)
6/5y-6=6y=66 (Move the -6 to the other side and add 6/5y to 6y)
36/5y=72 (Since the number on the y is a fraction, you must do the opposite to the other side)
y=72/1 x 5/36 (Flip your fraction and multiply it by the 72)
y=10
<em>3. Now that you have one of the variables solved for, in order to get the other we must plug in what we have to the first equation.</em>
5x-2(10)=-10 (Multiple 2 by 10)
5x-20=-10 (Move -20 to the other side, since you do the opposite add +20 to the -10)
5x=10 ( Divide 10 by 5)
x= 2
<em>4. If needed, plug in the values of x and y to check your solution.</em>
Hope this could help! :)
Answer:
right angle?
Step-by-step explanation:
