Answer:
16.9 m
Step-by-step explanation:
Start with a half a circle. The central angle of a semicircle is 180 deg.
Now subtract 21 deg on each side.
180 - 21 - 21 = 138
The central angle is 138 deg.
The radius is 7 m.
Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.



Based on the given problem of -7x⁴ = 36, the solution to the equation is x = -1.5.
<h3>What is the solution to this problem?</h3>
The equation to find x is given as:
-7x⁴ = 36
Solving it gives:
-7x⁴ = 36
x⁴ = 36/-7
x⁴ = -36/7
x = ⁴√(-36/7)
x = -1.5
In conclusion, x is -1.5.
Find out more questions on solving for x at brainly.com/question/2910769
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The increase in price is 140% of the original price.
The original price was 100% of the original price since 100% is a whole quantity.
Now the new price is 140% more than it was, so the new price is
100% + 140% of the old price.
100% + 140% = 240%
Now we find 240% of $50.
To find a percent of a number, multiply the percent by the number.
240% of $50 =
= 240% * $50
= 2.4 * $50
= $120
Answer: 10 ft of gold wire now costs $120
Gold wire now costs $12 per foot.
We have that
sin ∅=-0.7660
the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428
tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917
the answer is
tan ∅ is 1.1917
Answer:
6
Step-by-step explanation: