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3 years ago

Solve the triangle given two angles and one side.

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

Answer:

a = 102.05

b = 393.76

B = 93°

Step-by-step explanation:

The law of sines tells you ...

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

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

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The rounding requirement got cut out of your picture, so we can't help you with that.

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Can somebody help please.

Shtirlitz [24]

The standard form will be:

a. 3.15

b. 3.015

<h3>How to calculate the value?</h3>

It should be noted that the question is simply about converting the expanded form to standard form.

This will be:

(3 × 1) + (1 × 0.1) + (5 × 0.01)

= 3 + 0.1 + 0.05

= 3.15

b. (3 × 1) + (1 × 0.01) + (5 × 0.001)

= 3 + 0.01 + 0.005

= 3.015

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1 year ago

Mary spent 3/4 of her money on a jacket. She spent 1/4 of the remainder on a shirt. The jacket cost $33 more than the shirt. How

Leviafan [203]

$49.50 the jacket costs this because her total amount was $66. to find total money I said 3/4x - 1/4x = $33 so 1/2x =$33 and x= $66. then multiply the total by 3/4 to get $49.50

6 0

3 years ago

Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points to graph each ray.

marin [14]

Shown in the attached figure

<h2>Explanation:</h2>

The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

$f(x)=\mid x \mid$

So we need to use this function in order to obtain:

$g(x)=\mid x+2 \mid -4$

Recall that to translate a function vertically, we use the following rule:

$g(x)=f(x)+k \\ \\ \bullet \ If \ k>0 \ the \ graph \ of \ f(x) \ is \ translated \ k \ units \ up \\ \\ \bullet \ If \ k$

And to translate a function horizontally, we use the following rule:

$g(x)=f(x+c) \\ \\ \bullet \ If \ c>0 \ the \ graph \ of \ f(x) \ is \ translated \ c \ units \ to \ the \ left \\ \\ \bullet \ If \ c$

Since:

$c=2>0 \ and \ k=-4$

Then:

<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>

<em />

<h2>Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

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8 0

2 years ago

Help please this math is wack I am not having a good time

Mariana [72]

Answer:

The third term is -25.

Step-by-step expanation:

d(1)=3

From this equation, we know the first term is 3.

d(n)=d(n−1)−14

This looks like a recursive formula. It is used to find the next term.

n is the variable for the term number that you are solving for.

d(n-1) is the term value before the what you are looking for.

To find the 2nd term, use the formula and substitute values known:

d(n)= d(n−1)−14

d(2) = d(2-1) - 14

d(2) = d(1) - 14

We know d(1)=3

d(2) = 3 - 14

d(2) = -11

Find the third term using the same method:

d(n) = d(n−1)−14

d(3) = d(3−1)−14

d(3) = d(2)−14

d(3) = -11 - 14

d(3) = -25

7 0

3 years ago

HELP PLS GIVING BRAINLIEST

Setler79 [48]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

$y = mx+b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

$(0,1)\\(1, -2)$

We found the slope:

$m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3$

So, the equation is of the form:

$y = -3x + b$

We substitute a point to find "b":

$1 = -3 (0) + b\\1 = b$

Finally, the equation is:

$y = -3x+1$

Answer:

Option C

8 0

3 years ago