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3 years ago

ANSWER ASAP! MARK BRAINLIEST

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

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3 years ago

Mathematical Statement Justification

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Answer:

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

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So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

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$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

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$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

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6 0

3 years ago

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What is the measure of <7?

mash [69]

Answer:

120

Step-by-step explanation:

<2 = 120 degrees

<3 = <2 vertical angles

Assuming b is parallel to c

<3 = <6 alternate interior angles

<6 = <7 vertical angles

<2 = <7 =120

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3 years ago

Chang drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would he need to drive 357 miles?

qwelly [4]

Answer:

<h2>15.3 gallons</h2><h2 />

Step-by-step explanation:

ratio and proportion

<u>420 miles </u> = <u> 357 miles</u>

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420 (x) = 357 (18)

x = 6426 / 420

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3 years ago

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1. What is an equation for the line with slope 2/3 and y-intercept 9?

Monica [59]

Question 1:

The generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
$y = \frac{2}3}x + 9
$
Answer:
an equation for the line with slope 2/3 and y-intercept is:
$y = \frac{2}3}x + 9$

Question 2:

The standard equation of the line is given by:
$y-yo = m (x-xo)
$
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{1-(-3)}{3-1}$
$m = \frac{1+3}{3-1}$
$m = \frac{4}{2}$
$m = 2
$
We choose an ordered pair:
$(xo, yo) = (3, 1)
$
Substituting values:
$y-1 = 2 (x-3)
$
Rewriting:
$y = 2x - 6 + 1

y = 2x - 5$
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
$y = 2x - 5
$

Question 3:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We then have the following equation:
$-4y = 8x
$ Rewriting we have:
$y = \frac{8}{-4}x
$
$y = -2x
$ Therefore, the constate of variation is given by:
$k = -2
$
Answer:
the constant of variation is:
$k = -2$

Question 4:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
Substituting values:
$24 = k8
$ Clearing k we have:
$k = \frac{24}{8} 
$
$k = 3
$
Therefore, the equation is:
$y = 3x
$ Thus, substituting x = 10 we have that the value of y is given by:
$y = 3 (10)

y = 30$ Answer:
the value of y when x = 10 is:
$y = 30$

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3 years ago

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