Answer:
-8 km
Step-by-step explanation:
Answer:
n = 20 or n = -2
Step-by-step explanation:
Solve for n over the real numbers:
n^2 = 18 n + 40
Subtract 18 n + 40 from both sides:
n^2 - 18 n - 40 = 0
The left hand side factors into a product with two terms:
(n - 20) (n + 2) = 0
Split into two equations:
n - 20 = 0 or n + 2 = 0
Add 20 to both sides:
n = 20 or n + 2 = 0
Subtract 2 from both sides:
Answer: n = 20 or n = -2
<u>Answer:</u> The ratio that represents the cosine of ∠T is 
<u>Step-by-step explanation:</u>
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
Hence, the ratio that represents the cosine of ∠T is
Answer:
85
Step-by-step explanation:
In this type of problem, x is always the average of the two angle measures of the arcs. In this case, (100+70)/2=85 degrees. Hope this helps!
1) 13.02-6y=8y
+6y=6y
13.02=14y then divide both sides by 14. you get y= .93
2) 1/5x+5=19-1/2x
-5=-5
(1/5x=14-1/2x)5
x=70-2.5x
+2.5x=+2.5x
3.5x=70 divide both sides by 3.5 and you get x=20
3) 7.3t+22=2.1t-22.2
-2.1t =-2.1t
5.2t+22=22.2
-22=-22
5.2t=-44.2 divide both by 5.2 and t=-8.5
4) (1.4+2/5e=3/15e-.8)15
21+6e=3e-12
-3e=-3e
21+3e=-12
-21 =-21
3e=-33 divide both by 3 and e=-11
5) 5(x-4)=2(2x+5)
5x-20=4x+10
-4x -4x
x-20=10
+20=+20
x=30
6) -7(3+t)=4(2t+6)
-21-7t=8t+24
+7t=+7t
-21=15t+24
-24= -24
-45=15t divide both by 15 and t=-3
7) (3/4x+6=1/3x+9)4
3x+24=1.3x+36
-1.3x =-1.3x
1.7x+24=36
-24=-24
1.7x =12 divide both sides by 1.7 and x=7.06
