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zaharov [31]
3 years ago
9

24 athletes threw the shot put at a track and field meet. If this was 15/100 of all the athletes in the meet, how many athletes

competed in the meet total?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0

Answer:

160 athletes

Step-by-step explanation:

Let the total number of athletes in the meet be x

Given that 24 athletes who  threw the shot put at a track and field meet are 15/100 of all the  athletes in the meet .

If we write this in mathematical algebraic expression

15/100 of all the  athletes in the meet = 24

15/100 * x = 24

=> x = 24*100/15 = 24*100/3*5 = 160

Thus, 160 athletes competed in the meet.

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The volume of a cylinder is 4zxcubic units and its height is x units.
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3 years ago
4) Solve ∆ABC, a = 2.5 cm, c = 3.6 cm, and ∠A = 43°. Begin by sketching and labelling
mezya [45]

The length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}

Given;

  • a = 2. 5cm
  • c = 3. 6cm
  • ∠A = 43°

Let's find angle C

\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = sin^-^1(0. 982)

C = 79°

To find length of b

b= \sqrt{c^2 - a^2}

substitute the values

b = \sqrt{3.6^2 - 2. 5^2}

b = \sqrt{6. 71}

b = 2. 59 cm

b = 3cm

To find angle B, we have

\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

B = sin^-^1(0. 7065)

B = 45°

Hence, the length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

Learn more about sine rule here:

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8 0
2 years ago
Hi guys can you guys answer this pls and explain plss​
9966 [12]

Answer:

see explanation

Step-by-step explanation:

To express a fraction in simplest form

Divide numerator and denominator by largest common factor of both

\frac{6}{12} ← divide by 6

= \frac{1}{2} ← in simplest form

\frac{12}{15} ← divide by 3

= \frac{4}{5} ← in simplest form

7 0
3 years ago
The measure of an angle is 63.6°. what is the measure of a complementary angle?
Tanzania [10]
Complementary angles add up to 90°.

You are given one angle that is 63.6°.

Let's make the other angle "x".

63.6 + x = 90

To find x, all you have to do is subtract the other angle (63.6) from 90.
90 - 63.6 = 26.4
x = 26.4

The measure of the complementary angle is 26.4°.
6 0
4 years ago
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