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3 years ago

I don’t understand any of this

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Answer:

1. 1244.07

2. 653.45

3. 706.86

4. 141.37

5. 2309.07

6. 402.12

7. 863.94

8. 2001.19

9. 197.92

Step-by-step explanation:

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What is this reference:wenlocktoad-sama

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Answer:

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3 years ago

Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

= $6^{2}$ + $3^{2}$ - 2(6 x 3) Cos $60^{o}$

= 36 + 9 - 36 x 0.5

= 45 - 18

$b^{2}$ = 27

b = $\sqrt{27}$

= 5.1962

b = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = $60^{o}$ , then let us apply the Sine rule to determined the measure of A.

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

So that,

$\frac{6}{Sin A}$ = $\frac{5.2}{Sin60^{o} }$

Sin A = $\frac{0.886*6}{5.2}$

Sin A = 0.99923

A = $Sin^{-1}$ 0.99923

= 87.75

A ≅ $88^{o}$

Since the sum of angle in a triangle = $180^{o}$ .

Then,

A + B + C = $180^{o}$

$88^{o}$ + $60^{o}$ + C = $180^{o}$

$148^{o}$ + C = $180^{o}$

C = $180^{o}$ - $148^{o}$

= $32^{o}$

C = $32^{o}$

Thus,

A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

5 0

3 years ago

Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin

Ahat [919]

I guess this reads

$\displaystyle\int_1^4f(x)\,\mathrm dx=19$

$\displaystyle\int_1^4g(x)\,\mathrm dx=12$

You want to compute

$I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx$

By linearity of the definite integral,

$I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx$

$I=8\cdot19-12+7(4-1)=\boxed{161}$

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3 years ago

Jamal claims that the graph of f(x)+2 is equivalent to the graph of f(x+k). For the case where Jamal claim is correct, what must

rusak2 [61]

Answer:

K=2

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

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