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3 years ago

Pleaseeee help me....Use the Law of Sines to solve the triangle. Round your answers to two decimal places.

Mathematics

1 answer:

alexira [117]3 years ago

7 0

Answer:

a = 1.11
B = 105.4°
c = 2.95

Step-by-step explanation:

B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°

The missing side lengths can be found from the Law of Sines:

a/sin(A) = c/sin(C)

a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11

Likewise, ...

b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95

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You roll a 6-sided die.

Lerok [7]

Answer:

$\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}$

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know $1 \cdot 35 = 35$ , so two factors are 1 and 35.
We know $5 \cdot 7 = 35$ , so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be $\frac{2}{6} = \frac{1}{3}$ since there are two factors and 6 possible options.

This means, logically, there is a $\frac{4}{6} = \frac{2}{3}$ chance of not rolling a factor of 35.

Hope this helped!

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2 years ago

0.32 as a mixed number

torisob [31]

Answer:

Hi! The answer to your question is 0 8/25

Step-by-step explanation:

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2 years ago

Find the m∠DCA A. 10 B. 29 C. 116 D. 40

Blizzard [7]

DCA is 116 because x=29, when you plug 29 into x you get 116

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2 years ago

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

VikaD [51]

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is $\frac{24}{8} = 3$ in.

Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

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3 years ago

A linear function is parallel to the line y= 4x + 8 and also goes through the point (2,15).What is the linear equation for this

horrorfan [7]

When written in the $y=mx+q$ form, the slope of a line is given by the coefficient $m$ . Moreover, two lines are parallel if the have the same slope.

Now, the slope of the known line is 4, so our line's slope will be four as well.

In general, when you know the slope $m$ of a line and one of its points $(x_0,y_0)$ , the equation of the line can be derived from the following formula:

$y-y_0 = m(x-x_0)$

Which in your case becomes

$y-15 = 4(x-2)$

Expand the right hand side and solve for y:

$y = 4x+7$

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3 years ago