I need help ASAP!!!

In the diagram below, AngleDAB and AngleDAC are adjacent angles. Lines A B, A D, and A C create two angle. The space between lin

iren [92.7K]

Answer:

∠DAB = 80°

∠BAC = 105°

Step-by-step explanation:

You are given ...

∠DAC = 25° = (x -20)°

Adding 20°, we have ...

x° = 45°

Then the measures of the other angles are ...

∠DAB = (2x -10)° = 2(45°) -10°

∠DAB = 80°

and

∠BAC = ∠DAB +∠DAC = 80° +25°

∠BAC = 105°

_____

Nothing in this problem statement defines a circle.

3 0

4 years ago

If [infinity] cn8n n = 0 is convergent, can we conclude that each of the following series is convergent? (a) [infinity] cn(−3)n

pashok25 [27]

Answer:

a) we know that this is convergent.

b) we know that this might not converge.

Step-by-step explanation:

Given the $\sum^\infty_{n=0}C_n8^n$ is convergent

Therefore,

(a) $\sum^\infty_{n=0}C_n(-3)^n$ The power series $\sum C_nx^n$ has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3

∴ $\sum^\infty_{n=0}C_n(-3)^n$ is convergent.

(b) $\sum^\infty_{n=0}C_n(-8)^n$ -8 could be right on the edge of the interval of convergence, and so might not converge

8 0

3 years ago

Water flows from a tank with a rectangular base measuring 80cm by 70cm into another tank with a squarebase of side 60cm. If the

defon

Answer:

70cm

Step-by-step explanation:

,

Since, both of the tank posses the same quantity of water then there volume is the same thing

For rectangular base

Volume= (Lenght × breadth × hheight)

If we substitute values

Lenght= 80 cm

Breadth= 70 cm

height= 45 cm

Volume= 80cm × 70cm × 45cm

Volume= 252000cm^3

For square base

Volume= (side)^2 × height

side =60cm.

But volume of square base= volume of

rectangular base

252000cm^3= 60^2 × height

Height= (252000cm^3)/(60^2 )

Height= 70 cm

Hence, the second tank is 70 cm deep

4 0

3 years ago

The volume in cubic centimeters of a sphere whose diameter is 6 centimes is ?

aivan3 [116]

Answer:

Volume of the sphere is 36π (or) 113.097 cubic centimetre.

Step-by-step explanation:

$given \\ diameter \: of \: sphere = 6 \: cm \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{6}{2} \\ radius \: (r) = \: 3 \: cm \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = 3 \: cm \\ on \: substituting \: r \: = 3 \: \: in \: formula \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {3}^{3} \\ \: \: = \frac{4}{3} \pi \: 27 \\ \: = \: 4 \pi \times 9 \\ \: \: = 36\pi \\ \: \: = 113.097 \: {cm}^{3}$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago

Can you help me pls can you help me

spayn [35]

Answer:

B

Step-by-step explanation:

8 0

3 years ago

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