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bixtya [17]
3 years ago
15

What is the sum of the first five terms of the geometric sequence in which

Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

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The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle
zhannawk [14.2K]

Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

8x + 2x + 3x = 180 + 5 + 10

13x = 195

x = 195/13

x = 15

The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

Therefore, the largest angle is 115°

3 0
3 years ago
Find the surface area of the triangular prism
melomori [17]

Answer:

608 ft²

Step-by-step explanation:

<u>1) Find the area of the bases</u>

A=\frac{1}{2} bh where b is the base length and h is the height

Plug in b and h

A=\frac{1}{2} (12)(8)\\A=48

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

<u>2) Find the area of the two sides facing up</u>

A=lw where l is the length and w is the width

Plug in l and w

A=10*16\\A=160

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

<u>3) Find the area of the bottom side</u>

A=lw where l is the length and w is the width

Plug in l and w

A=12*16\\A=192

Therefore, the area of this side is 192 ft².

<u>4) Add all the areas together</u>

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

5 0
3 years ago
Read 2 more answers
HELP
uranmaximum [27]
20% of 60 is 12

60/300 = 20%

The friend is incorrect because that is 20% of 300 not 60
4 0
2 years ago
Read 2 more answers
Which equation is represented by the graph below
Brrunno [24]

Answer:

y=-2x+2

Step-by-step explanation:

okay?.......................

5 0
3 years ago
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The question is in the picture, please help!!<br> a. (16/7 , 6/7)<br> b.(4 , 6/7)<br> c.( 2 , 6/7)
lianna [129]

Answer:

b.(4,6/7)

Step-by-step explanation:

i hope i was able to help with the question

4 0
3 years ago
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