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2 years ago

Solve each triangle. Round your answers to the nearest tenth. m∠A = 60°, m∠B = 30°, c = 30 cm

Mathematics

2 answers:

Svetach [21]2 years ago

8 0

Answer:

mb = 30

Step-by-step explanation:

i got it from me school

Nimfa-mama [501]2 years ago

6 0

Answer:

Angle C = 90°

a = 15sqroot3

b = 15

Step-by-step explanation:

Solve a triangle means to find all the angles and all the sides.

Angle C must be 90° because all the angles of a triangle add up to 180°.

That makes this a 30°-60°-90° triangle so there are SHORTCUTS to finding the sides so you don't have to use trig or pythagorean thm.

SHORTCUT:

The shortest side is half the longest side. (The short leg is half the hypotenuse) and/or the longest side is twice the shortest side.

SHORTCUT:

The long leg is the shortleg•sqroot3

(advanced mode: the shortleg is the longleg/sqrt3)

So for your problem, the hypotenuse is 30, so the short leg is 15. And that makes the long leg 15sqrt3. See image.

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Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets $30 c

Marina CMI [18]

Answer:

The number of same-day tickets sold is 15

The number of advance ticket sold is 20

Step-by-step explanation:

Given as :

The cost of each Advance ticket = $35

The cost of each same-day ticket = $30

The total cost of the tickets sold = $1150

The total number of tickets sold = 35

Let The number of advance ticket sold = a

And The number of same-day ticket sold = s

Now, According to question

The total number of tickets sold =The number of advance ticket sold + The number of same-day ticket sold

I.e a + s = 35 .....A

The total number of tickets sold = The cost of each Advance ticket × The number of advance ticket sold + The cost of each same-day ticket × The number of same-day ticket sold

I.e $35 a + $30 s = $1150

or, 35 a + 30 s = 1150 .......B

Now, solving eq A and B

35 × ( a + s) - ( 35 a + 30 s ) = 35 × 35 - 1150

or, ( 35 a - 35 a ) + ( 35 s - 30 s ) = 1225 - 1150

or, 0 + 5 s = 75

∴ s = $\frac{75}{5}$

I.e s = 15

So, The number of same-day tickets sold = s = 15

Put the value of s in Eq A

So, a + 15 = 35

∴ a = 35 - 15

I.e a = 20

So, The number of advance ticket sold = a = 20

Hence The number of same-day tickets sold is 15

And The number of advance ticket sold is 20 Answer

7 0

3 years ago

How would you do these questions?

Pepsi [2]

Step-by-step explanation:

1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)

P(light OR domestic) = 0.62 + 0.70 − 0.55

P(light OR domestic) = 0.77

2. P(light AND not domestic) = P(light) − P(light AND domestic)

P(light AND not domestic) = 0.62 − 0.55

P(light AND not domestic) = 0.07

3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)

P(light GIVEN not domestic) = 0.07 / (1 − 0.70)

P(light GIVEN not domestic) = 0.233

4. Two events are independent if P(A) × P(B) = P(A and B).

P(light) × P(domestic) = 0.62 × 0.70 = 0.434

P(light AND domestic) = 0.55

Therefore, the type and location are not independent.

3 0

3 years ago

The sides of a square are increased by a scale factor of 6. The perimeter of the smaller square is 10 ft. What is the perimeter

inn [45]

Answer:

60ft

Step-by-step explanation:

I have not done this kind of work in a while but if you scale each side of the square by 6 is should increase to a perimeter of 60ft

4 0

3 years ago

A. 28 B. 20 C. 62 D. 70

horsena [70]

Answer:

Imma just go A

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The length width and height of a rectangular solid are 8,4,1 respectively what is the length of the longest line segment whose e

LUCKY_DIMON [66]

Answer:

9 units

Step-by-step explanation:

Given

$Length = 8$

$Width = 4$

$Height = 1$

Required

Determine the length of the longest segment

To do this, we use:

$Longest = \sqrt{Length^2 + Width^2 + Height^2}$

So, we have:

$Longest = \sqrt{8^2 + 4^2 + 1^2}$

$Longest = \sqrt{64 + 16 + 1}$

$Longest = \sqrt{81}$

Take positive square root

$Longest = 9$

Hence, the length of the longest segment is 9 units

3 0

3 years ago