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igor_vitrenko [27]
3 years ago
5

(3^4)(3^5)= a) 3^9 B) 9^9 C) 3^20 D) 6^20

Mathematics
2 answers:
lesya692 [45]3 years ago
4 0

Answer:

a) 3^9

Step-by-step explanation:

add 5 and 4 to get 3⁹.

xeze [42]3 years ago
4 0

Answer:

3^9

Step-by-step explanation:

when bases are same then powers are added

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What is the volume of a hemisphere having radius of great<br>circle be r unit?​
lora16 [44]

Answer:

Hemisphere Formulas in terms of radius r:

Volume of a hemisphere: V = (2/3)πr.

Step-by-step explanation:

5 0
3 years ago
The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri
emmainna [20.7K]

Answer:

a. i. x + y = 180  (1) and  x - 4y = 5   (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180  (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5   (2)

x - 4y = 5   (2)

So, our system of equations are

x + y = 180  (1) and  x - 4y = 5   (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180  (1) and  x - 4y = 5   (2)

Subtracting (2) from (1), we have

x + y = 180  (1)

-

x - 4y = 5   (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0
3 years ago
Find the volume: A cone with a diameter of 16cm and a height of 16cm.
soldier1979 [14.2K]
<h2><em>The formula for a cone is in the attachment below. Substitute Pie for 3.14.</em></h2><h2><em>3.14 x 8 x 8 x 16/3 = 1071.78667. You can round this up and you get 1072.33.</em></h2><h2><em></em></h2><h2><em>Final Answer: 1072.33cm^3</em></h2><h2><em>Hope this helps and have a nice day! o/</em></h2>

6 0
3 years ago
Which is the best estimate of the circumference of this circle?
Ann [662]

Answer:

To what circle?mm

Step-by-step explanation:

any pictures?

6 0
3 years ago
Solve the system of linear equations below.
Reika [66]

Answer:

x = 1 , y = 3 thus: A is your Anser

Step-by-step explanation:

Solve the following system:

{2 x + y = 5 | (equation 1)

x + y = 4 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 5 | (equation 1)

0 x+y/2 = 3/2 | (equation 2)

Multiply equation 2 by 2:

{2 x + y = 5 | (equation 1)

0 x+y = 3 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 2 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 1 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer:  {x = 1 , y = 3

8 0
3 years ago
Read 2 more answers
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