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nikdorinn [45]
3 years ago
15

Help with this question please

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

A ≈ 28.27

Step-by-step explanation:

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
Find the measure of the number two angles in each figure. Justify each answer​
BigorU [14]
11:
1. 123°
2. 57°
3. 95
4. 85°

12.
1. 130°
2. 54°
3. 130°
4. 126°
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For every 10 fish you have, you need 5 gall how many gallons pf water do u have for 1 fish
frutty [35]
10/5 = 1/x
cross multiply
10x = 5
x = 5/10
x = 1/2...u need 1/2 gallon per fish
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3 years ago
Pls help ASAP PLEASE!!!!!!!
STALIN [3.7K]

Answer:

nah im good

Step-by-step explanation:

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3 years ago
Multiply and simplify. (x + 3)(x - 8)
Kazeer [188]

Answer:

x^{2} - 5x - 24

Step-by-step explanation:

( x + 3 )( x - 8 ) =

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