Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
Answer:
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
Step-by-step explanation:
we have
3/4 in
Verify each value
case A) 13/16 in
we know that
3/4 in=12/16 in ----> multiply by (4/4)
Find the difference
13/16-12/16=1/16 in
case B) 11/32 in
we know that
3/4 in=24/32 in ----> multiply by (8/8)
Find the difference
24/32-11/32==13/32 in
case C) 1/2 in
we know that
1/2 in=2/4 in ----> multiply by (2/2)
Find the difference
3/4-2/4=1/4 in
case D) 3/8 in
we know that
3/4 in=6/8 in ----> multiply by (2/2)
Find the difference
6/8-3/8=3/8 in
<em>Compare the values of the difference and find the less value</em>
we have
case A) 1/16=2/32 in
case B) 13/32 in
case C) 1/4=8/32 in
case D) 3/8=12/32 in
The less value is case A) 2/32 in
therefore
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
The limit as a definite integral on the interval 
on [2π , 4π] is 
.
<h3>
What is meant by definite integral?</h3>
A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.
Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.
If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.
Let the equation be
substitute the values in the above equation, we get
= on [2π, 4π],
simplifying the above equation
To learn more about definite integral refer to:
brainly.com/question/24353968
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Answer:
B and D
Step-by-step explanation:
if they had letters it would be
A B
C D
options B and D are similar
Answer:
well for me I think
Step-by-step explanation:
2/3×2/3
4/9
since they are replacing the black marbles back
