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Nesterboy [21]
3 years ago
8

Find the missing side of the triangle

Mathematics
1 answer:
Tanya [424]3 years ago
5 0
81 feet
9 x 11 = 99
180 - 99 = 81
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What is the sum of the arithmetic sequence 3, 9, 15…, If there are 34 terms?
snow_tiger [21]

Answer:

first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)

an = a1 + (n-1) * d

n = the term we want to find = 34

a1 = first term = 3

d = common difference = 6

now we sub

a34 = 3 + (34-1) * 6

a34 = 3 + (33 * 6)

a34 = 3 + 198

a34 = 201

now we use the sum formula

Sn = (n (a1 + an)) / 2

S34 = (34(3 + 201))/2

s34 = (34(204)) / 2

s34 = 6936/2

s34 = 3468 <=== the sum of the first 34 terms:

6 0
3 years ago
If x square plus 8x plus q =(x plus k) Square find the value of k and q​
PIT_PIT [208]

Answer:

The value of k is 4 and q is 16.

Step-by-step explanation:

First, you have to expand the brackets by applying :

{(a + b)}^{2}  =  {a}^{2}  + 2ab +  {b}^{2}

{x}^{2}  + 8x + q =  {(x + k)}^{2}

{x}^{2}  + 8x + q =  {x}^{2}  + 2kx +  {k}^{2}

Next, you have to do it by comparison :

{x}^{2}  + 8x + q =  {x}^{2}  + 2kx +  {k}^{2}

by \: comparison

8x = 2kx

8 = 2k

k = 4

q =  {k}^{2}

q =  {4}^{2}

q = 16

7 0
3 years ago
What is the volume of the sphere in the diagram? with a diameter of 3
ohaa [14]

Answer:

Given diameter: r = d / 2 , Given area: r = √[A / (4 * π)] , Given volume: r = ³√[3 * V / (4 * π)] , Given surface to volume ratio: r = 3 / (A/V) .

Step-by-step explanation:

So, do that!

3 0
3 years ago
A savings account earns 4% annual simple interest. The principal is $1100. What is the balance after 5 years?
jeka57 [31]

Answer:

Step-by-step explanation:

8 0
3 years ago
Solve for x and not to scale
sergij07 [2.7K]

Answer:

x = 90

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\frac{BC}{NE} = \frac{AB}{TN} , substitute values

\frac{3}{27} = \frac{10}{x} ( cross- multiply )

3x = 270 ( divide both sides by 3 )

x = 90

6 0
3 years ago
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