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ArbitrLikvidat [17]
3 years ago
5

Find the measure of each angle indicated

Mathematics
1 answer:
qaws [65]3 years ago
6 0

Answer:

D) 45 degrees

Step-by-step explanation:

145 = 100 + x

Subtract 100 from both sides

45 = x

OR

180 - 145 = 35

<FEG = 35

100 + 35 + x = 180

135 + x = 180

Subtract 135 from both sides

x = 45

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alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2=\frac{2}{5}

x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

A=\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx

A=\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx

A=4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]

A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
What is the ratio of the radius of a circle to its circumference 12π 1πr 1π 2π
aleksklad [387]
The circumference is (2 pi) (radius) . The ratio of radius to circumference is (1)/(2 pi).
4 0
3 years ago
For how many positive values of n are both n3 and 3n four-digit integers?
AVprozaik [17]

Answer:

No positive value of n

Step-by-step explanation:

we have to find out for how many positive values of n are both

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Let us consider first cube

we get 4digit lowest number is 1000 and it has cube root as 10.

Thus 10 is the least integer which satisfies four digits for cube.

The highest integer is 9999 and it has cube root as 21.54

or 21 the highest integer.

Considering 3^n we get,

3^10 is having 5 digits and also 3^21

Thus there is no positive value of n which satisfy that both n cube and 3 power n are four digits.

5 0
3 years ago
What is the value of the x variable in the solution to the following system of equations?
harkovskaia [24]
Its A. x=4

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8 0
3 years ago
Determine the value of A <br> Solve it please
Vitek1552 [10]
A= 30
Explanation: 88-58=30
8 0
3 years ago
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