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2 years ago

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics

1 answer:

madam [21]2 years ago

7 0

Answer:

Answer:

50.2

Step-by-step explanation:

$ut = \sqrt{ {6}^{2} + {5}^{2} } \\ \sqrt{36 + 25} \\ \sqrt{61 } \\ using \: cosine \: rule \\ cos \: u = \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times \sqrt{61} } \\ \\ = \frac{25 + 61 - 36}{78} \\ \\ = \frac{50}{78 } \\ \cos \: u = 0.64 \\ \m∠U.: = 50.2$

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A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte

nata0808 [166]

Answer:

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

Step-by-step explanation:

Let be a point $(a,b)\in\mathbb{R}^{2}$ , reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

$d = d'$

$b - 0 = 0 - b'$

$b' = -b$

y-Axis reflection:

$d = d'$

$a - 0 = 0 - a'$

$a' = -a$

If we know that $X (x,y) = (3,2)$ , $Y(x,y) = (5,-1)$ and $Z (x,y) = (-2, 3)$ , the coordinates after both reflections are, respectively:

$X'(x,y) = (-3,-2)$

$Y' (x,y) = (-5,1)$

$Z'(x,y) = (2,-3)$

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

8 0

3 years ago

EXPLAIN HOW TO FIND THE AREA OF THE<br> SHADED Region.

marin [14]

Answer:

Find the area of the circle then divide by two

Step-by-step explanation:

7 0

3 years ago

X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.

Rus_ich [418]

The line contains point (2, 0) and (-5, 4).
y - 0 = (4 - 0)/(-5 - 2) (x - 2)
y = -4/7 (x - 2)
7y = -4(x - 2)
7y = -4x + 8
4x + 7y = 8

8 0

4 years ago

For what values of a are the following expressions true?/a+5/=-5-a

katovenus [111]

Explanation:

The expression is given below as

$|a+5|=-5-a$

Concept:

We will apply the bsolute rule below

$\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}$

By applying the concept, we will have

$\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}$

Hence,

The final answer is

$a\leq-5$

5 0

1 year ago

Round 342.79513 to the three significant figures

Pavel [41]

Answer:

343

Step-by-step explanation:

Because the 5 rounds 9 to a 10, making the 7 an 8, hence:

342.8

round the 2 to a 3 because the 8 round it up, making it 343

6 0

2 years ago