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tensa zangetsu [6.8K]
2 years ago
14

In the diagram below PQR are point on the circle with centre o and diameter 14cm <PRQ=35° Find the length of the minor arc PQ

and the chord PQ take[π=3.142]​
Mathematics
1 answer:
Gekata [30.6K]2 years ago
5 0

Answer:

Step-by-step explanation:

I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there.   just draw as much as you can from what the problem tells you.

diameter = 14 cm

radius = 7 cm

pi = 3.142

PRQ = 35 °

to find Y use law of sines

sin(70) / Y = sin(55) / 7

sin(70) / sin(55) / 7 = Y  ( I'll use my calculator for all the non standard angles )

sin(70) * 7 / sin(55) = Y   ( and invert and multiply the fraction in the denom )

8.03007 = Y

x = 70 °

if you have questions, and  you should, just put them in the comments , I'll see them later :)

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Tom's age is four times that of his sister. When you add Kim's age to her brother's, you get 15. How old are Tom and Kim?
Kamila [148]

Answer:

Kim is 3, Tom is 12

Step-by-step explanation:

4x + x = 15

combine like terms

5x = 15

divide both sides by five

x = 3

3 0
3 years ago
Season the Texans won 4 out of 12 games. What percent of games the Texans in last season?​
Marizza181 [45]

Answer:

This question sounds incomplete

If you're asking for the percentage of the games they've won:

33.33%

If you're asking for the percentage of the games they've lost:

66.66%

5 0
3 years ago
Please help am very Confused
GuDViN [60]

Answer:

Step-by-step explanation:

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5 0
3 years ago
What was the total production of gasoline and kerosene combined (in Barrels)
Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

<em>44.4 million barrels of gasoline and kerosene are produced</em>

Let

<em />x \to<em> Proportion of kerosene</em>

<em />y \to<em>  Proportion of Gasoline</em>

<em />

So:

x = 40\%

y = 34\%

Total = 60\ million ---- total barrels produced

The amount of Kerosene produced is:

Kerosene =x \times Total

Kerosene =40\% \times 60\ million

Kerosene = 24\ million

The amount of Gasoline produced is:

Gasoline  =y \times Total

Gasoline  =34\% \times 60\ million

Gasoline  =20.4\ million

So, the total production of both is:

Total = Kerosene + Gasolene

Total = 24\ million + 20.4\ million

Total = 44.4 million

<em>Hence, 44.4 million barrels of gasoline and kerosene are produced</em>

Read more about equations at:

brainly.com/question/21105092

8 0
3 years ago
Find all pairs of natural numbers which can be the solution to the equation a+b=42.
Setler [38]

Answer:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

Step-by-step explanation:

To find all pairs of natural numbers which are solution to a+b=42, we need to first choose a value to one of them (let's choose 'a'), and that value will be the lowest possible, so we begin with a=1, and then we increase to 2, and 3, and so on.

For each value of a, we calculate the value of b using the equation.

So, starting with a=1, we have that b=41

Then, with a=2, we have that b=40, and so on.

Doing this until a=41 (so b=1 will be the lowest value possible for b), we have the pairs of natural number we want:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

5 0
3 years ago
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