Answer:
cos theta = -4/5.
sec theta = -5/4.
tan theta = 3/4.
cot theta = 4/3.
Step-by-step explanation:
sin^2 theta + cos^2 theta = 1
(-3/5)^2 + cos^2 theta = 1
cos^2 theta = 1 - 9/25
cos^2 theta = 16/25
cos theta = -4/5 (negative because it is in Quadrant 3).
sec theta = 1 / cos theta = -5/4.
tan theta = sin theta / cos theta = -3/5 / - 4/5
= -3/5 * -5/4
= 3/4.
cot theta = 1 / tan theta = 4/3.
The sphere with the volume 1436.03 m³ has 7m long radius.
To find out the approximate length of its radius by using the formula to calculate volume of sphere is:
V= 4πr³/3
The value of π is 22/7 or 3.14.
So, V = 4 × 3.14 × r³ / 3
Volume of the sphere is given which is 1436.03 m³.
Thus, r³ = 1436.03×3 / 4×3.14
r = ³√ 4308.09/12.56 = ³√343 = 7 m.
Hence, the radius of the given sphere is 7 m.
The cube root of a number is the factor that we multiply by itself three times to get that number.
For example, the cube root of 27 is 3.
To learn more about the sphere click here brainly.com/question/19868745
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Answer:
x = 20°
y = 160°
z = 160°
Step-by-step explanation:
x = 20°
(Measure of arc is equal to the measure of its corresponding central angle)
z = 180° - 20°
(Linear pair angles)
z = 160°
y = z
(Measure of arc is equal to the measure of its corresponding central angle)
y = 160°
Answer:
Step-by-step explanation:
x=
−b±√b2−4ac
2a
x=
−(−13)±√(−13)2−4(1)(5)
2(1)
x=
13±√149
2
x=
13
2
+
1
2
√149 or x=
13
2
+
−1
2
√149
Answer:
Angle 1: 95 degrees
Angle 2: 85 degrees
Angle 3: 95 degrees
Step-by-step explanation:
Vertical angles are opposite and equal so in this case angle 1 and 3 are vertical and so are 2 and 85°
So that means angle 2 also equals 85 degrees and because of supplementary angles the other angle must add up to equal 180 degrees
85 + ? = 180
?=95
So both angle 1 and 3 equal 95 degrees
