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Norma-Jean [14]
3 years ago
5

Please help Due asap SHOW a workings please

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

a) the sum of any two sides of a triangle is always larger than the 3rd side

b) the difference between any two sides of a triangle is always smaller than the 3rd side;

hence,

3+4=7

4-3=1

triangle 3,4,5 follows all the rules,

triangle 13,2,11:

11+2=13

the sum of any two sides must always be GREATER than the 3rd side-so this is not an option

triangle 10,4,5

5+4=9

9<10

not an option

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Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)? ​
timofeeve [1]

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

5 0
3 years ago
2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
Evaluate<br> 2^9 over 2^5
s2008m [1.1K]

Answer:

2^4  or 16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

2^9 / 2^5

2^(9-5)

2^4  or 16

8 0
3 years ago
Read 2 more answers
Identify the vertex of the graph tell weather it is minimum or maximum
Contact [7]

Vertex is (-2,-3) and it's a minimum.

4 0
3 years ago
Can someone help me with this, I don’t understand.
Tema [17]
180-(83+53)=44
That will be the answer
3 0
3 years ago
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