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2 years ago

Find the fifth term in the sequencethat is defined as follows:an = 2n

Mathematics

1 answer:

Rainbow [258]2 years ago

7 0

Answer:

$a_{5}=10$

Step-by-step explanation:

If you want to find the 5th term of a sequence or any term you have to substitute n for the desired term in your case the result is the following

$a_{n}=2n\\a_{5}=2(5)\\a_{5}=10$

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Please try to explain the answer and I'll mark the Brainliest.

laiz [17]

Inside a triangle, all inside angles add up to 180°

So, add the two angles:

26.4°+33.7°=60.1°

180°-60.1°=119.9°

b=119.9°

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2 years ago

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Please Help!

alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}$

and a, b and c are the three sides of the triangle

Area of triangle ABD = $s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33$

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

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2 years ago

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A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i

alex41 [277]

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

$\frac{h}{h'}=\frac{l}{l'}$

$\frac{12}{h'}=\frac{6}{1.5}$

$h'=\frac{12\times 1.5}{6}$

$h'=3$ ft

Hence, the height of fire hydrant=3 ft

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3 years ago

Which point below is not on the graph of p(x) = +36- X?

natka813 [3]

Answer:

We have the following equation: y = 36 - x. And we need to find which of the following points belong to the graph:

(-13,7)

(-35, 1)

(11,5)

(27,3)

If any of the points belong to the equation, then the equality will be met.

Then:

(-13,7) :

7 = 36 - (-13)

7 = 36 + 13

7 = 49 ❌

(-35, 1) :

1 = 36 - (-35)

1 = 71❌

(11, 5) :

5 = 36 - 11

5 = 25 ❌

(27,3)

3 = 36 - 27

3 = 9 ❌

None of the points belong to the graph. Therefore, all points are NOT on the grah of p(x) = 36 - x.

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2 years ago

(-17,-5), (15,-13)<br> Slope of the line through each pair of points

Andreyy89

If you have a graph, I’d use it and make curved lines going down to plot the points!
Using -17 ,15
And, 15 , -13
Hope this helps!

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1 year ago

Find the fifth term in the sequencethat is defined as follows:an = 2n​

Find the fifth term in the sequencethat is defined as follows:an = 2n