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densk [106]
3 years ago
6

PLEASE HELP!!!!!!!!!

Mathematics
1 answer:
Veronika [31]3 years ago
4 0
A right triangle has special proportions
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What is a1 for the geometric sequence for which a8= -3584 and a3 = 112 ?
jasenka [17]

Answer:

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence , a_8=-3584

and 3rd term of Geometric Sequence, a_3=112

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

a_n=ar^{n-1}

So,

\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}

\frac{r^{7}}{r^{2}}=-32

r^5=-32

r=-2

So, a_3=112

a\times(-2)^{2}=112

a=\frac{112}{4}=28

Therefore, The first term is 28.

7 0
4 years ago
A triangle has two side lenths of 1 and 16 what is the largest possible whole-number length of the third side?
Afina-wow [57]

Answer:

16

Step-by-step explanation:

Given that:

Length of two sides of the triangle = 1 and 16 ;

The largest possible whole-number length of the third side would be ;

Recall from triangle inequality theorem; the length of any two sides of a triangle is greater than the third side. Therefore. The largest possible whole number value the third side could have is:

Assume the third side is the largest :

Then, the third side must be less than the sum of the other two sides ;

Third side < (16 + 1)

Third side < 17

Therefore, the closest whole number lesser than the sum of the other two sides is (17 - 1) = 16

6 0
3 years ago
Find the force a 68.5 kg person would experience while standing on the surface of Mars. Mars has a mass of 6.43 x 1023 kg and a
Zinaida [17]
F = Gm1m2/r^2 = 6.67 x 10^-11 * 68.5 * 6.43 x 10^23 / (3.43 x 10^6)^2 = 2.93 x 10^15 / 1.18 x 10^13 = 249.7N

8 0
4 years ago
Read 2 more answers
What’s a random sample survey
Fudgin [204]

Answer:

its a variety of selection techniques in which sample members are selected by chance


Step-by-step explanation:


4 0
4 years ago
Calculate the price with VAT of the following case.
AlekseyPX

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

8 0
3 years ago
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