All categories

3 years ago

Find the indicated length. Round to the nearest hundredth.

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Triangle PQR is a right angle triangle.

From the given right angle triangle,

PR represents the hypotenuse of the right angle triangle.

With m∠R as the reference angle,

QR represents the adjacent side of the right angle triangle.

PQ represents the opposite side of the right angle triangle.

To determine PQ, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 28 = QR/13

QR = 13 × 0.8829

QR = 11.4777

QR = 11.48 to the nearest hundredth.

You might be interested in

5x6 = (_X 6) + (2x_)

kati45 [8]

Answer:

(3 x 6) + (2 x 6)

Step-by-step explanation:

6 0

3 years ago

6 O

Elenna [48]

Answer:

2x -6

Step-by-step explanation:

2x is slope

-6 is y intercept

The function passes though -6

a slope of 2 means the function goes up 2 and over 1 unit for every 1 x unit

3 0

3 years ago

Read 2 more answers

THIS IS URGENT! PLZ HELP!

Yanka [14]

Answer:

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

A triangle with an area of 37 units? is dilated by a scale factor of . Find the area of

sergeinik [125]

Answer:

58 units

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.

Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)

7 0

3 years ago

Find the slope of the line that passes through (4,2) and (9,1)?

pshichka [43]

Answer:

The slope of the line is $\displaystyle -\frac{1}{5}$ .

Step-by-step explanation:

We are given two coordinate points:

$(4, 2)$
$(9, 1)$

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

$\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}$

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

$(x_1, y_1), (x_2, y_2)$

Therefore, we can also label our coordinates as such:

$x_1 = 4$
$y_1 = 2$
$x_2 = 9$
$y_2 = 1$

Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.

$\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}$

Therefore, our slope is $\displaystyle -\frac{1}{5}$ .

8 0

3 years ago

Read 2 more answers