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kari74 [83]
2 years ago
12

Will give brainliest D:

Mathematics
2 answers:
-BARSIC- [3]2 years ago
7 0

#1

  • Hypotenuse

#2

Apply Pythagorean theorem

\\ \tt\hookrightarrow H^2=25^2+12^2=1225+144=1369

\\ \tt\hookrightarrow H=37

#3

\\ \tt\hookrightarrow Sin\theta=\dfrac{35}{37}

#4

\\ \tt\hookrightarrow cos\theta=\dfrac{12}{37}

#5

\\ \tt\hookrightarrow tan\theta=\dfrac{35}{12}

Monica [59]2 years ago
6 0

<u>Answer</u>:

Given below.

<u>Step-by-step explanation</u>:

1) Hypotenuse

2) Using Pythagoras theorem:

              35² + 12² = c²

                c = √1225+144

                c = √1369

                 c = 37  ....this is the length of missing side.

Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.

3) sin(θ) = opposite/hypotenuse

   sin(θ) = 35/37

4) cos(θ) = adjacent/ hypotenuse

    cos(θ) = 12/37

5) tan(θ) = opposite/adjacent

      tan(θ) = 35/12

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Ganezh [65]

Answer: n=2

Step-by-step explanation:

Get graph paper make a graph mark them on your graph and since it says (n,-2) its going down because of the negative 2 i don't think this helped but if it did

7 0
3 years ago
-X-5y + z = 17
grin007 [14]

Answer:

x = -1 , y = -4 , z = -4

Step-by-step explanation:

Solve the following system:

{-x - 5 y + z = 17 | (equation 1)

-5 x - 5 y + 5 z = 5 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Swap equation 1 with equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

-x - 5 y + z = 17 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Subtract 1/5 × (equation 1) from equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 1 by 5:

{-x - y + z = 1 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 2 by 4:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Add 2 × (equation 1) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

0 x+3 y - z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x - y+0 z = 4 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z = 4 | (equation 3)

Multiply equation 3 by -1:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 3 to equation 2:

{-x - y + z = 1 | (equation 1)

0 x+3 y+0 z = -12 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Divide equation 2 by 3:

{-x - y + z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 2 to equation 1:

{-x + 0 y+z = -3 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Subtract equation 3 from equation 1:

{-x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Collect results:

Answer: {x = -1 , y = -4 , z = -4

8 0
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Art [367]

Answer:

The money was left untouched for 2 years and 6 months or just 2.5 years

Step-by-step explanation:

In this question, we are asked to calculate the time taken for an amount deposited to earn a certain amount of interest.

Mathematically, simple interest can be calculated using the formula;

I = PRT/100

where I is the interest accrued which is 3696.88 - 3,500 = 196.88

P is the principal which is the amount deposited = 3,500 according to the question

R is the rate which is 2.25% according to the question

T is the time which we are to find

we can rearrange the formula making T the subject and we obtain the following;

T = 100I/PR

substituting the values listed above we have;

T = (100 * 196.88)/(3500 * 2.25)

T = 19688/7875

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8 0
3 years ago
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kap26 [50]

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

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Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

4 0
3 years ago
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Lina20 [59]

Answer:

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Step-by-step explanation:

The number of values in the final calculation of a statistic that are free to vary is referred to as the degrees of freedom. That is, it is the number of independent ways by which a dynamic system can move, without disrupting any constraint imposed on it.

The degrees of freedom for the t-distribution is obtained by substituting the values of n1​ and n2​ in the degrees of freedom formula.

Degrees of freedom, df = n1​+n2​−2

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Therefore, the degrees of freedom associated with the critical value is 25.

4 0
3 years ago
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