What is three fifths times 2 and five sixths

Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

General term of an A.P.

$\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}$

>> Tₙ = nᵗʰ term
>> a = first term
>> n = no. of terms
>> d = common difference

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}$

${\dashrightarrow{\sf{ T_{20} = a + (19)d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19d}}}$

${\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}$

Hence, the value of T₂₀ is a + 19d.

$\rule{190}1$

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + (14) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14d}}}$

${\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}$

Hence, the value of T₁₅ is a + 14d

$\rule{190}1$

Now, finding the difference between T₂₀ - T₁₅ :

${\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}$

${\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}$

${\dashrightarrow{\sf{a + 19d - a - 14d}}}$

${\dashrightarrow{\sf{a - a + 19d - 14d}}}$

${\dashrightarrow{\sf{0+ 19d - 14d}}}$

${\dashrightarrow{\sf{19d - 14d}}}$

${\dashrightarrow{\sf{5 \times - 4}}}$

${\dashrightarrow{\sf{ - 20}}}$

${\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}$

Hence, the value of T₂₀ - T₁₅ is -20.

$\underline{\rule{220pt}{3.5pt}}$

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How to find the volume of a room

yuradex [85]

multiply the height x the length x the width to find the volume of a room (or another 3d object)

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2 years ago

What is the probability when rolling a fair twenty-two sided die that a multiple of four will

Inga [223]

Answer:

5/22 or 0.22%

Step-by-step explanation:

5 0

3 years ago

If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB

Dmitriy789 [7]

Answer: AD/CD = 2/5

Explanation:

Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)

Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,

AB/DE = BC/EC = AC/DC

From the information given,

AB/DE = 7/5

Thus,

AC/DC = 7/5

AD + CD = AC

(AD + CD)/DC = 7/5

AD/DC + CD/DC = 7/5

AD/DC + 1 = 7/5

AD/DC = 7/5 - 1

AD/DC = 2/5

AD/CD = 2/5

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A teacher will pick 1 student at random from 25 for the lead in a play. What is the probability of a student, Jo, of winning?

CaHeK987 [17]

Twenty two percent is the answer

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