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3 years ago

The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

You can just use the tn formula to solve this tn= t1 + (n-1)d

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1/4 times 24 times 2/3

Strike441 [17]

24(1/4)= 6

6(2/3)= 12/3= 4

The answer is 4. Hope this helps!

6 0

4 years ago

Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.

disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

$d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\$

So the perimeter is:

$Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units$

Using hero's formula,

$s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units$

Rounding off will give us 30 square units ..

4 0

4 years ago

Jennifer is saving money to buy a bike. The bike costs $223. She has "$128" saved, and each week she adds $19 to her savings.

castortr0y [4]

Answer: it would take her 5 weeks

You have to subtract 128 from 223 to find out how much money is left to earn. Which is 95. Then you must divide 95 divided by 19 because she get $19 each week and the answer is 5

4 0

3 years ago

journee ate 9 grapes . grandma gave her more grapes . journee ate 15 grapes in all . how many grapes did grandma give her ?

Law Incorporation [45]

Answer:

6 grapes.

Step-by-step explanation:

If she already had 9 grapes, subtract 15 and 9 to get 6.

6 0

3 years ago

Read 2 more answers

Pls help!!! giving brainliest

Margaret [11]

Answer:

He should use a counterclockwise rotation about point C with an angle of rotation of (Show me the options for me to give you an answer!)

Step-by-step explanation:

Please give brainliest, hope this helps!

6 0

3 years ago

The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?​

The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?