Answer:
we can translate the given statement into-8 ≥ -5x + 2 > -38.
In this case, we can dissect the inequality into two parts:
-8 ≥ -5x + 2 and -5x + 2 > -38
Step-by-step explanation:
-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)
-5x + 2 > -38 5x < 40x < 8 (open dot)
The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between
If tan0=-3/4 and 0 is in quadrant IV, cos20= (33/25, -17/25, 32/25, 7/25, 24/25?) and tan20= (24/7, -24/7, 7/25, -7/25, 13/7, -1
Oksana_A [137]
Answer:
- cos(2θ) = 7/25
- tan(2θ) = -24/7
Step-by-step explanation:
Sometimes, it is easiest to let a calculator do the work. (See below)
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The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.
You can also use the identities ...
cos(2θ) = (1 -tan(θ)²)/(1 +tan(θ)²)
cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)
cos(2θ) = 7/25
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tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)
tan(2θ) = -24/7
Answer:
The slope would also be -4.
Step-by-step explanation:
This is because parallel lines have the exact same slope. Since these two lines are parallel and the first has a slope of -4, the second must as well.
Well so you have to go with pemdas. p parenthesis, e exponets,m multipication, d division, a add, s subtract. let start with the parenthesis which is 8 plus negative four to the secondpower minus 6. so negative 4 to the second power is equal to positive sixteen because negative time negative is equal to positive. so 8 plus sixteen is 24-6 is 18. negative 12 divided by 3 is negative 4.so negative 4 time 18 is negative 72 plus 2 is negative 70.the answer is negative 70
Answer:
30
120
706.5
Step-by-step explanation:
circumference= 94.2 inches, circumference is pi x diameter so-
diameter = 94.2/pi inches.
Using 3.14 as an approximation for pi we get:
Diameter=30 inches.
So would need a length of at least
4x30 = 120 inches of felt for four wheels.
The area of the circular wheel is pi x diameter 2/4 square inches.
Area is 706.5 square inches which is how much felt is needed to cover one wheel.
