Give answer to 1 d.p

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

8 0

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{BC}$ = $\frac{AB}{12}$ ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

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2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees

kykrilka [37]

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are $(3n-28)^\circ$ and 83^\circ.$

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

$(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37$

8 0

3 years ago

Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. 3y = 2

Over [174]

First, let's write the given equation in slope-intercept form: y = mx + b

In slope-intercept form, the slope of the line is m, and the y-intercept is b. The slope is a measure of how steep the graph is at any point and is found by doing rise over run. This means the change in y values divided by the change in x values. Next, y-intercept is just where the graph crosses the y axis.

All we need to do to get the equation in slope-intercept form is to divide each term by 3. This will isolate the y.

$y= \frac{2}{3}x-2$

As you can see, the slope of the line is 2/3, and the y-intercept is -2.

To graph the line, plot a point at (0,-2). This is the point where the graph crosses the y axis. Then from that point, count up two and right 3. Plot a point here as well. Lastly, connect the two points with a straight line.

See attached picture for the graph.