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3 years ago

11

Find the length of the side labeled “x”. a) 4.88 b) 10.96 c)5.34 d)26.95

2 answers:

Radda [10]3 years ago

8 0

Answer:

d

Step-by-step explanation:

Sphinxa [80]3 years ago

8 0

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan24° = $\frac{opposite}{adjacent}$ = $\frac{x}{12}$ ( multiply both sides by 12 )

12 × tan24° = x , then

x ≈ 5.34 ( to 2 dec. places ) → C

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Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

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

<u>To</u><u> </u><u>Find</u> :

>> T₂₀ - T₁₅

<u>Using Formula</u> :

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

<u>Solution</u> :

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.

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

3 0

3 years ago

) Which point on the number line shows the position of squared 77

a_sh-v [17]

The root of 77 is 8.774 so the answer is C

Answer: C

8 0

2 years ago

Can you guys help me with this question?

IRINA_888 [86]

So below m in the chart, is shows what m equals for you to substitute in the equation

So the second blank would be 42.
Since 7*6=42.

The third blank would equal to 56.
Since 7*8=56

5 0

4 years ago

−6x^2−1 and x+9 help will mark brainliest.

Varvara68 [4.7K]

Answer:

-6x^2+x+8

Step-by-step explanation:

Add -1 and 9 because they are the only like terms

8 0

3 years ago

The science club is ordering T-shirts by mail. The shirts cost $12 each and there is a $4 shipping charge. The function C = 4 +

Lisa [10]

The total cost of ordering 10 shirts can be calculated as following:

C = 4 + 12(10)

C = 4 + 120

C = 124

8 0

3 years ago