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3 years ago

Find the value of y.

Mathematics

1 answer:

Lerok [7]3 years ago

8 0

Answer:

y=4

Step-by-step explanation:

<h3>The triangle is divided further into 2 right triangles. So ignore the left one.</h3><h3>We know the angle of elevation is 30° and the hypotenuse is 8.</h3><h3>Looking at SOH CAH TOA we use the sine ratio in trigonometry because we have to find the side opposite to the angle given and we know the hypotenuse. </h3><h3>It is: sin 30 = y/8</h3><h3>y= 8 sin 30</h3><h3>y=4</h3>

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There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes

patriot [66]

Answer:

138 students

Step-by-step explanation:

207/9 = 23

23*6=138

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2 years ago

Read 2 more answers

Triangle DEF has sides with lengths of 6, 11, and 13 units. Determine whether this triangle is a right triangle. Show all work n

mario62 [17]

Answer:

Triangle DEF is not a right triangle ; possible lengths are 20 & 15

Step-by-step explanation:

For right triangle;

the sum of the square of the two adjacent sides must equal the square of the hypotenus.

Therefore, (6^2)+(11^2)≠(13^2).

the possible length are 20 & 15 because

(20^2)+(15^2)=(25^2)

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3 years ago

Figure LMNO is a parallelogram.

hodyreva [135]

Answer:

180 degrees

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees. Therefore, the sum of Angle L and M's measures is equal to 180°.

6 0

3 years ago

If there's 15 players total 1/3 are wearing red shoes 2/5 or wearing blue shoes and everyone else is wearing black shoes what is

Volgvan

Answer:

$\frac{4}{15}$ is the fraction of people wearing with black shoes.

Step-by-step explanation:

Given:

If there's 15 players total, 1/3 are wearing red shoes, 2/5 are wearing blue shoes and everyone else is wearing black shoes.

Now, to find the fraction of people with black shoes.

Total players = 15.

Fraction of people wearing red shoes = $\frac{1}{3}.$

So, number of people are wearing red shoes:

$\frac{1}{3} \times 15\\\\=5.$

Fraction of people wearing blue shoes = $\frac{2}{5} .$

Thus, number of people wearing blue shoes:

$\frac{2}{5} \times 15\\\\=6.$

And rest are wearing black shoes.

Now, to get the number of people wearing black shoes by subtracting number of people are wearing red shoes and blue shoes from the total number of players:

$15-5-6\\\\=15-11\\\\=4.$

Thus, the fraction of people wearing black shoes:

$\frac{Number\ of\ people\ wearing\ black\ shoes}{Total\ number\ of\ players}$

= $\frac{4}{15} .$

Therefore, $\frac{4}{15}$ is the fraction of people wearing with black shoes.

6 0

3 years ago

If m∠4 = 35, find m∠2. Explain.

Bad White [126]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

= m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

= 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

= 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0

3 years ago