Ask question

Ask question

All categories

3 years ago

7

Please help with triangles in a pic.

2 answers:

GenaCL600 [577]3 years ago

8 0

The 3 angles of a triangle have to add up to 180 degrees. Since we are given 2 of the angles, all we have to do is add them up and then subtract from 180 to get the 3rd.

112 + 41 = 153
180 - 153 = 27

Angle 2 = 27 degrees.

scoray [572]3 years ago

4 0

That triangle is supposed to equal 180° when you add the central angles. We know 2 angels, 112° & 41° and we also know that the whole triangles angles, when added should equal 180° (only the triangle in which we are figuring out 2.)

112 + 41 = 153
180 - 153 = angle 2
180 - 153 = 27
angles 2 = 27°

Check:
27 + 112 + 41
139 + 41
180
Correct!

Angle 2 = 27°

You might be interested in

In a metal fabrication process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n

Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, $\bar{x}$ = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314$

$14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)$

is the required confidence interval for the true mean length of rods.

3 0

3 years ago

Read 2 more answers

A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311,000 in sales from these ticke

dybincka [34]

Answer:

62.2x=y

Step-by-step explanation:

cost/ticket (c)

5000c = 311000

c = $62.20

7 0

3 years ago

Which is the image of ABC for a 90° counterclockwise rotation about P?

timofeeve [1]

The answer is EFD because the turn is counterclockwise, around point P

- Your welcome

6 0

3 years ago

Read 2 more answers

Simplify the following

den301095 [7]

Answer:

1) 11 $\sqrt{3}$

2) 2 $\sqrt{2}$

3) $20\sqrt{3} + 15\sqrt{2}$

4) $53 + 12\sqrt{10}$

5) -2

6) $7\sqrt{2} - 5\sqrt{3}$

Step-by-step explanation:

1) 2 $\sqrt{12}$ + 3 $\sqrt{48}$ - $\sqrt{75}$

=(2 × 2 $\sqrt{3}$ )+ (3 × 4 $\sqrt{3}$ ) - 5 $\sqrt{3}$

= 4 $\sqrt{3}$ + 12 $\sqrt{3}$ - 5 $\sqrt{3}$

= 11 $\sqrt{3}$

2) 4 $\sqrt{8}$ -2 $\sqrt{98}$ + $\sqrt{128}$

= (4 × 2 $\sqrt{2}$ ) - (2 × 7 $\sqrt{2}$ ) + 8 $\sqrt{2}$

= 8 $\sqrt{2}$ - 14 $\sqrt{2}$ +8 $\sqrt{2}$

= 2 $\sqrt{2}$

3) 5 $\sqrt{12\\}$ - 3 $\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}$

= 5× $2\sqrt{3}$ - 3× $3\sqrt{2}$ + 4× $6\sqrt{2}$ + 2× $5\sqrt{3}$

= $10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}$

= $20\sqrt{3} + 15\sqrt{2}$

4) $(2\sqrt{2} + 3\sqrt{5} )^{2}$

= $8 + 12\sqrt{10} + 45$

= $53 + 12\sqrt{10}$

5) $(1+\sqrt{3} ) (1-\sqrt{3} )$

= $1 - 3$

= -2

6) $(2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )$

= $2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}$

= 2× $3\sqrt{2}$ - 2× $2\sqrt{3}$ - $\sqrt{3} + \sqrt{2}$

= $6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}$

= $7\sqrt{2} - 5\sqrt{3}$

Hope the working out is clear and will help you. :)

5 0

3 years ago

Read 2 more answers

Use the quadratic model d= -3p^2+168p-315 to predict d if p equals 15.

drek231 [11]

A) i think is the correct answer

4 0

3 years ago

Read 2 more answers