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horsena [70]
3 years ago
14

If c=25 and B=75 degrees, find a. Round to the nearest tenth.

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get \frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}, which after cross multiplying yields a=\sin(16^\circ)\cdot25\approx 6.9. PM me if you have any questions?

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I need help finding y
denpristay [2]

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

4 0
3 years ago
Please answer quick!
marysya [2.9K]

Answer:

The correct option is B

(-1)(1/2)(-1)(1)

Step-by-step explanation:

First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).

Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.

It is now between options B and C.

Option B, by inspection is simply 1/2

Option C is 12/4 = 3

The problem itself is 12/35

12/24 = 1/2

12/36 = 1/3

Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.

6 0
3 years ago
You have 54 pictures to put in a photograph album. Each page of the album holds 4 pictures. How many pages can you fill?
gregori [183]

Answer:

You can fill 13.5 pages

Step-by-step explanation:

You would do 54 divided by 4 equals 13.5

6 0
2 years ago
Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Ano
BabaBlast [244]
the answer is 27 students
4 0
3 years ago
The measures of the angles of a triangle are ∠A = (2x)°, ∠B = (x+14)°, ∠C = (x−38)° Determine the value of x. Determine A B and
nexus9112 [7]

Answer:

Step-by-step explanation:

Measures of angles are,

m∠A = (2x)°

m∠B = (x + 14)°

m∠C = (x - 38)°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

2x + (x + 14) + (x - 38) = 180

(2x + x + x) + (14 - 38) = 180

4x - 24 = 180

4x = 204

x = 51

m∠A = 2(51)° = 102°

m∠B = (51 + 14)° = 65°

m∠C = (51 - 38)° = 13°

4 0
3 years ago
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